Wikiversity betawikiversity https://beta.wikiversity.org/wiki/Main_Page MediaWiki 1.47.0-wmf.3 first-letter Media Special Talk User User talk Wikiversity Wikiversity talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk TimedText TimedText talk Module Module talk Translations Translations talk Event Event talk Template:Welcome 10 2952 384278 383995 2026-05-21T01:23:32Z ꠢꠣꠍꠘ ꠞꠣꠎꠣ 51302 384278 wikitext text/x-wiki <languages/> <translate> <!--T:3--> Thank you for [[<tvar name="reg">Special:MyLanguage/wikiversity:register</tvar>|register]]ing, and Welcome to [[<tvar name="wv">Special:MyLanguage/Wikiversity</tvar>|Wikiversity]]! </translate> <translate> <!--T:8--> *Wikiversity beta is a hub for general [[<tvar name="multi">Special:MyLanguage/wikiversity:multilingual</tvar>|multilingual]] discussions of Wikiversity [[<tvar name="policy">Special:MyLanguage/wikiversity:policies</tvar>|policies]] and other [[<tvar name="cat">:category:wikiversity</tvar>|issues]]. It is also an [[<tvar name="incubator">:Category:wikiversity incubator</tvar>|incubator]] for new Wikiversity projects in various [[<tvar name="lang">:category:pages by language</tvar>|languages]]. </translate> <translate> <!--T:9--> *[[<tvar name="babel">Special:MyLanguage/Wikiversity:Babel</tvar>|Babel]] is our multilingual forum for general discussions and announcements. </translate> <translate> <!--T:10--> *If you are new to Wiki, [[<tvar name="help">Special:MyLanguage/help:basic editing</tvar>|here]] is the bare minimum for editing in wiki. </translate> <translate> <!--T:11--> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[<tvar name="custodian">Special:MyLanguage/wikiversity:Test wiki custodians</tvar>|Test wiki custodian]] to help maintain the pages for the group. </translate> <noinclude> <translate> == See also == <!--T:5--> <!--T:6--> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] <!--T:7--> <!-- This is [[<tvar name="template">template:welcome</tvar>|template:welcome]], not your talk page --></translate> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> mzj2hg511o2jlg1jnyel9ihzrhuwmxi Template:Welcome/zh 10 3416 384303 384021 2026-05-21T01:24:02Z FuzzyBot 31756 Updating to match new version of source page 384303 wikitext text/x-wiki <languages/> 感谢[[Special:MyLanguage/wikiversity:register|注册]],欢迎来到[[Special:MyLanguage/Wikiversity|维基学院]]! * 维基学院测试版是一个[[Special:MyLanguage/wikiversity:multilinguallingual|多语言的l]]语言版本。这是[[Special:MyLanguage/wikiversity:policies|政策]]和其他的[[:category:wikiversity|条款]]。这里也有很多[[:Category:wikiversity incubator|孵化器]]在大量的维基学院项目[[:category:pages by language|语言]]。 * [[Special:MyLanguage/Wikiversity:Babel|分类]]使我们多语言的宣告。 * 如果你是新来的[[Special:MyLanguage/help:basic editing|这里]]有编辑指南。 <div class="mw-translate-fuzzy"> * 如果您正在使用维基学院,请考虑创建一个参与者列表[[$participants|Narrative_ecologies/参与者]]。随着材料的增长,你可能会选择一个[[Special:MyLanguage/wikiversity:Test wiki custodians|保管者]]以帮助维护该组的页面。 </div> <noinclude> <span id="See_also"></span> == 參見 == * [[Special:PrefixIndex/Template:Welcome/|多语言的翻译信息]] <!--这个是[[template:welcome|欢迎模板]],不是你的讨论页--> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> 8qeu46t004k6g3uggt9gzr2nyzvn8yq Template:Welcome/ko 10 9230 384296 384014 2026-05-21T01:24:00Z FuzzyBot 31756 Updating to match new version of source page 384296 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <div lang="en" dir="ltr" class="mw-content-ltr"> == See also == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> ewaq9b1kj95a4pn43bdcd9m32pwldfs Template:Welcome/fr 10 9236 384287 384005 2026-05-21T01:23:57Z FuzzyBot 31756 Updating to match new version of source page 384287 wikitext text/x-wiki <languages/> Merci pour les [[Special:MyLanguage/wikiversity:register|enregistrement]], et Bienvenue au [[Special:MyLanguage/Wikiversity|Wikiversité]]! *Wikiversité Bêta est un hub pour des discussion générale [[Special:MyLanguage/wikiversity:multilinguallingual|multilingue]] des Wikiversité [[Special:MyLanguage/wikiversity:policies|politiques]] Wikiversité et les autres [[:category:wikiversity|problèmes]]. C'est aussi un [[:Category:wikiversity incubator|incubateur]] pour des nouveaux projets Wikiversité en plusieurs [[:category:pages by language|langues]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] est notre forum multilingues pour des discussions générales et des annonces. *Si tu es nouveau à Wiki, [[Special:MyLanguage/help:basic editing|ici]] est le strict minimum pour modifier dans un wiki. <div class="mw-translate-fuzzy"> *Si tu es organiser un cours avec Wikiversité, considére créer une liste de participants comme [[$participants|Narrative_ecologies/Participants]]. Comme ton matériel se développe, tu peut élire un [[Special:MyLanguage/wikiversity:Test wiki custodians|administrateur]] pour maintenir les pages pour le groupe. </div> <noinclude> <span id="See_also"></span> == Voir aussi == * [[Special:PrefixIndex/Template:Welcome/|Ce message dans beaucoup de langues]] <!-- C'est le [[template:welcome|Modèle:Bienvenue]], ce n'est pas ton page discussion utilisateur --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> br2j61sbtgub8p5g3dgwfskj0okpqqh Template:Welcome/ar 10 9384 384282 383997 2026-05-21T01:23:55Z FuzzyBot 31756 Updating to match new version of source page 384282 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <div lang="en" dir="ltr" class="mw-content-ltr"> == See also == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> ewaq9b1kj95a4pn43bdcd9m32pwldfs Template:Welcome/en 10 11936 384284 384002 2026-05-21T01:23:56Z FuzzyBot 31756 Updating to match new version of source page 384284 wikitext text/x-wiki <languages/> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. <noinclude> == See also == * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] <!-- This is [[template:welcome|template:welcome]], not your talk page --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> qm29m3sr38g32vqef3el6udob4rq8ci Template:Welcome/az 10 20053 384280 383998 2026-05-21T01:23:55Z FuzzyBot 31756 Updating to match new version of source page 384280 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <div lang="en" dir="ltr" class="mw-content-ltr"> == See also == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> ewaq9b1kj95a4pn43bdcd9m32pwldfs Template:Welcome/id 10 36662 384293 384012 2026-05-21T01:23:59Z FuzzyBot 31756 Updating to match new version of source page 384293 wikitext text/x-wiki <languages/> Terima kasih telah [[Special:MyLanguage/wikiversity:register|mendaftar]], dan selamat datang di [[Special:MyLanguage/Wikiversity|Wikiversitas]]! *Wikiversitas beta adalah pusat diskusi umum [[Special:MyLanguage/wikiversity:multilingual|multibahasa]] tentang [[Special:MyLanguage/wikiversity:policies|kebijakan]] Wikiversitas dan [[:category:wikiversity|isu]] lainnya. Wikiversitas beta juga merupakan [[:Category:wikiversity incubator|inkubator]] untuk proyek-proyek Wikiversitas baru dalam berbagai [[:category:pages by language|bahasa]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] adalah forum multibahasa kami untuk diskusi umum dan pengumuman. *Jika Anda baru mengenal Wiki, [[Special:MyLanguage/help:basic editing|di sini]] merupakan hal minimum untuk mengedit di wiki. <div class="mw-translate-fuzzy"> *Jika Anda menjalankan kursus dengan Wikiversitas, pertimbangkan untuk membuat daftar peserta seperti [[$participants|Narrative_ecologies/Participants]]. Seiring bertambahnya materi Anda, Anda mungkin ingin memilih [[Special:MyLanguage/wikiversity:Test wiki custodians|kustodian]] untuk membantu mengelola halaman grup. </div> <noinclude> <span id="See_also"></span> == Lihat pula == * [[Special:PrefixIndex/Template:Welcome/|Pesan selamat datang dalam berbagai bahasa]] <!-- This is [[template:welcome|Template:Selamat datang]], not your talk page --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> 6jom5xi8bn5m7bp9245yn1aoc4vxkg0 Template:Welcome/da 10 37852 384283 384000 2026-05-21T01:23:56Z FuzzyBot 31756 Updating to match new version of source page 384283 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> ==Se også == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> cga341r4gsviit69x5jg5c60rm6aira Template:Welcome/pl 10 39536 384298 384016 2026-05-21T01:24:01Z FuzzyBot 31756 Updating to match new version of source page 384298 wikitext text/x-wiki <languages/> Dziękujemy za [[Special:MyLanguage/wikiversity:register|zarejestrowanie się]] i witamy na [[Special:MyLanguage/Wikiversity|Wikiwersytecie]]! <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> [[Special:MyLanguage/Wikiversity:Babel|Babel]] to nasze wielojęzyczne forum do dyskusji ogólnych oraz ogłoszeń. Jeśli jesteś od niedawna na Wiki, [[Special:MyLanguage/help:basic editing|tutaj]] znajdziesz absolutne minimum wiedzy związanej z edytowaniem na Wiki. <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> == Zobacz też == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> cujo3kswx7u6dajt1iyq1rdz52vz49h Template:Welcome/hu 10 41173 384292 384010 2026-05-21T01:23:58Z FuzzyBot 31756 Updating to match new version of source page 384292 wikitext text/x-wiki <languages/> Köszönjük, hogy [[Special:MyLanguage/wikiversity:register|regisztráltál]], és üdvözlünk a [[Special:MyLanguage/Wikiversity|Wikiegyetemen]]! * A Béta Wikiegyetem az [[Special:MyLanguage/wikiversity:policies|irányelvekről]] és más [[:category:wikiversity|felmerülő kérdésekkel]] kapcsolatos [[Special:MyLanguage/wikiversity:multilinguallingual|többnyelvű]] megbeszélések helye, emellett a [[:category:pages by language|leendő]] projektek [[:Category:wikiversity incubator|inkubátora]]. * A többnyelvű megbeszélések és bejelentések helye a [[Special:MyLanguage/Wikiversity:Babel|Bábel]] lap. * A szerkesztési alapokkal kapcsolatban [[Special:MyLanguage/help:basic editing|itt]] találhatsz segítséget. <div class="mw-translate-fuzzy"> * Ha a Wikiegyetemen kurzust futtatsz, fontold meg egy [[$participants|ehhez]] hasonló résztvevőlista létrehozását; továbbá a tartalom növekedésével érdemes lehet egy [[Special:MyLanguage/wikiversity:Test wiki custodians|gondnok]] kijelölése, aki a karbantartásban segíthet. </div> <noinclude> <span id="See_also"></span> == Lásd még == * [[Special:PrefixIndex/Template:Welcome/|Az üdvözlet különböző nyelveken]] <!-- Ez az [[template:welcome|üdvözlősablon]], nem a vitalapod! --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> sf3qsqdskofww0j7v28z443j5kfnn92 Template:Welcome/es 10 41298 384286 384003 2026-05-21T01:23:56Z FuzzyBot 31756 Updating to match new version of source page 384286 wikitext text/x-wiki <languages/> ¡Gracias por tu [[Special:MyLanguage/wikiversity:register|registro]] y bienvenido/a a [[Special:MyLanguage/Wikiversity|Wikiversidad]]! *Wikiversidad beta es un punto encuentro para debates generales [[Special:MyLanguage/wikiversity:multilingual|multilingües]] sobre las [[Special:MyLanguage/wikiversity:policies|políticas]] de Wikiversidad y otros [[:category:wikiversity|temas]]. También es una [[:Category:wikiversity incubator|incubadora]] para nuevos proyectos de Wikiversidad en diferentes [[:category:pages by language|idiomas]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] es nuestro foro multilingue para discusiones y anuncios generales. *Si eres nuevo/a en Wikiversidad, [[Special:MyLanguage/help:basic editing|aquí]] tienes lo básico para editar en wiki. <div class="mw-translate-fuzzy"> *Si estás gestionando un curso en Wikiversidad, considera crear una lista de participantes como este ejemplo: [[$participants|Narrative_ecologies/Participants]]. A medida que aumente la cantidad de tu material, es posible que quieras elegir un/a [[Special:MyLanguage/wikiversity:Test wiki custodians|custodio]] para ayudar a mantener las páginas del grupo. </div> <noinclude> <span id="See_also"></span> == Véase también == * [[Special:PrefixIndex/Template:Welcome/|Mensajes de bienvenida en mas idiomas]] <!-- Esto es [[template:welcome|Plantilla:Bienvenid]], no es tu página de discusión --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> hnaymuidfzn8048xkg2po54aghsgljr Template:Welcome/hr 10 41816 384291 384009 2026-05-21T01:23:58Z FuzzyBot 31756 Updating to match new version of source page 384291 wikitext text/x-wiki <languages/> Zahvaljujemo Vam na [[Special:MyLanguage/wikiversity:register|registraciji]] i dobro nam došli na [[Special:MyLanguage/Wikiversity|Wikiučilište]]! *Beta-Wikiučilište je sjedište za opće [[Special:MyLanguage/wikiversity:multilingual|višejezične]] diskusije o [[Special:MyLanguage/wikiversity:policies|pravilima]] i drugim [[:category:wikiversity|pitanjima]] vezanim uz wikiučilišta. Ono je također [[:Category:wikiversity incubator|inkubator]] za nove wikiučilišne projekte na raznim [[:category:pages by language|jezicima]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] je naš višejezični forum za opće diskusije i objave. *Ako ste početnik na Wikiju, [[Special:MyLanguage/help:basic editing|ovdje]] je srž uputa o uređivanju. <div class="mw-translate-fuzzy"> *Ako držite tečaj uz pomoć wikiučilišta, razmislite o stvaranju popisa sudionika nalik [[$participants|ovome]]. Kako se gradivo koje doprinosite uvećava, možda ćete poželjeti izabrati [[Special:MyLanguage/wikiversity:Test wiki custodians|kustoda (administratora)]] koji će pomoći održavati stranice Vaše skupine. </div> <noinclude> <span id="See_also"></span> == Vidi i == * [[Special:PrefixIndex/Template:Welcome/|Poruka dobrodošlice na raznim jezicima]] <!-- Ovo je [[template:welcome|predložak: dobrodošlica]], nije Vaša stranica za razgovor --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> neu7sjq7148r9ji1n98yc7hpkpguxaq Translations:Template:Welcome/11/en 1198 41878 384279 383996 2026-05-21T01:23:54Z FuzzyBot 31756 Importing a new version from external source 384279 wikitext text/x-wiki *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[$custodian|Test wiki custodian]] to help maintain the pages for the group. oz3xod5oi0b7547u9uqa4y837inwo3n Template:Welcome/gu 10 42807 384288 384006 2026-05-21T01:23:57Z FuzzyBot 31756 Updating to match new version of source page 384288 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> == આ પણ જુઓ == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> b1zcq5082hv5jea6803jhlu8u6cozhd Template:Welcome/hi 10 42810 384290 384008 2026-05-21T01:23:58Z FuzzyBot 31756 Updating to match new version of source page 384290 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> == यह भी देखें == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> 4rxvqugp3lp4wzm3sx9fsnwbwnupd2z Template:Welcome/it 10 43066 384294 384011 2026-05-21T01:23:59Z FuzzyBot 31756 Updating to match new version of source page 384294 wikitext text/x-wiki <languages/> Grazie per esserti [[Special:MyLanguage/wikiversity:register|registrato]], e benvenuto su [[Special:MyLanguage/Wikiversity|Wikiversità]] <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> == Vedi anche == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> ijco1te1shogvzv5vwy5n7kzatgohq8 Template:Welcome/vi 10 45107 384302 384020 2026-05-21T01:24:02Z FuzzyBot 31756 Updating to match new version of source page 384302 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <div lang="en" dir="ltr" class="mw-content-ltr"> == See also == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> ewaq9b1kj95a4pn43bdcd9m32pwldfs Template:Welcome/sv 10 45854 384299 384017 2026-05-21T01:24:01Z FuzzyBot 31756 Updating to match new version of source page 384299 wikitext text/x-wiki <languages/> Tack för att du [[Special:MyLanguage/wikiversity:register|registrerat]], och välkommen till [[Special:MyLanguage/Wikiversity|Wikiversity]]! * Wikiversity Beta är ett nav för allmän [[Special:MyLanguage/wikiversity:multilingual|flerspråkig]] diskussion om Wikiversitys [[Special:MyLanguage/wikiversity:policies|policyer]] och andra [[:category:wikiversity|ämnen]]. Det är också en [[:Category:wikiversity incubator|inkubator]] för nya Wikiversity-projekt på olika [[:category:pages by language|språk]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] är vårt flerspråkiga forum för allmän diskussion och tillkännagivanden. * Om du är på wikin, är [[Special:MyLanguage/help:basic editing|detta]] minimum för att redigera på wikin. <div class="mw-translate-fuzzy"> * Om du håller i en kurs på Wikiversity, överväg att skapa en deltagarlista som [[$participants|Narrative_ecologies/Participants]]. Allteftersom ditt material växer, kan du vilja utse en [[Special:MyLanguage/wikiversity:Test wiki custodians|intendent]] för att underlätta hantering av gruppens sidor. </div> <noinclude> <span id="See_also"></span> == Se även == * [[Special:PrefixIndex/Template:Welcome/|Välkomstmeddelande på flera språk]] <!-- Det här är [[template:welcome|template:welcome]], inte din diskussionssida --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> 3s71vroi991gjtwg56wbs828n0j1pdl Template:Welcome/de 10 46742 384285 384001 2026-05-21T01:23:56Z FuzzyBot 31756 Updating to match new version of source page 384285 wikitext text/x-wiki <languages/> Danke, dass du dich [[Special:MyLanguage/wikiversity:register|registriert]] hast und Willkommen bei [[Special:MyLanguage/Wikiversity|Wikiversity]]! *Wikiversity Beta ist ein Ort für allgemeine [[Special:MyLanguage/wikiversity:multilingual|mehrsprachige]] Diskussionen über Wikiversity-[[Special:MyLanguage/wikiversity:policies|Richtlinien]] und andere [[:category:wikiversity/de|Themen]]. Es ist auch ein [[:Category:wikiversity incubator|Incubator]] für neue Wikiversity-Projekte in unterschiedlichen [[:category:pages by language|Sprachen]]. *[[Special:MyLanguage/Wikiversity:Babel|Babel]] ist unser mehrsprachiges Forum für allgemeine Diskussionen und Ankündigungen. *Wenn Wikis neu für dich sind, findest du [[Special:MyLanguage/help:basic editing|hier]] die grundlegendsten Informationen zum Bearbeiten eines Wikis. <div class="mw-translate-fuzzy"> *Wenn du mit Wikiversity einen Kurs durchführst, möchtest du vielleicht eine Teilnehmerliste wie [[$participants|Narrative ecologies/Participants]] erstellen. Wenn dein Material umfangreicher wird, möchtest du vielleicht einen [[Special:MyLanguage/wikiversity:Test wiki custodians|Administrator]] wählen, der dabei hilft, die Seiten der Gruppe zu pflegen. </div> <noinclude> <span id="See_also"></span> == Siehe auch == * [[Special:PrefixIndex/Template:Welcome/|Willkommensnachrichten in vielen unterschiedlichen Sprachen]] <!-- Dies ist die [[template:welcome|Tenplate:Willkommen]], nicht deine Diskussionsseite --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> 2pl1a5u33efet51mij8wjacq53g8tjg Equacions III 0 47468 384276 384254 2026-05-20T16:10:54Z Profev 36331 /* Igualtats i equacions */ +retocs 384276 wikitext text/x-wiki En aquesta secció veurem els dos mètodes generals per aïllar incògnites com la x i com es combinen entre ells. Les equacions són fonamental a les matemàtiques modernes i la seva utilització comença a segon d'ESO aproximadament. [[File:Balanza MPA.jpg|400px|right]] == Igualtats i equacions == Una '''igualtat'''<ref>No s'ha de confondre aquesta definició amb el nom del símbol igual, '''='''. Dir que tot el que porta el símbol d'igualtat és una igualtat confon el concepte d'equació no indica igualtat sinó que pregunta o proposa si hi ha igualtat o no, i de quina forma es produeix aquesta igualtat.</ref> és l'afirmació que dues coses són iguals; és saber que el valor a banda i banda del símbol d'igualtat és exactament el mateix. En general es diu igualtat quan ha quedat clar que són iguals i no fa falta una comprovació. Es pot fer que dues coses siguin iguals en determinats aspectes o situacions, excloent-ne d'altres, segons l'àrea de què es parla: àlgebra, aritmètica, lògica, anàlisi, geometria, etc. A continuació es deixen exemples d'alguns textos que fan servir d'altres noms similars: una igualtat, una identitat algèbrica i una equivalència aritmètica, respectivament, destacant que visualment són símbols diferents.<ref>S'han de respectar els apunts que es donen utilitzant el seu lèxic, ja que, de vegades, no és gratuït.</ref> {| |width="200"| *<math>x=2\; kg</math> |width="200"| *<math>x^2=x\cdot x</math> |width="200"| *<math>\frac{3}{15}=\frac{1}{5}</math> |} Una '''equació''' és una proposta de relació entre dues expressions unides amb un símbol d'igualtat, però que no són necessàriament iguals de bon principi. Així, una equació estableix condicions entre dues expressions. Didàcticament i habitualment, les equacions es presenten com a simples preguntes. {| |width="200"| *<math>2\cdot x-3 = 5</math> |width="200"| *<math>x = 2\cdot a</math> |width="200"| *<math>x^2=x^3</math> |} La utilització freqüent d'equacions és per establir lligams entre diversos valors i per tant deduir uns respecte d'altres. Així docs s'estableix la cercar valors a partir d'altres valors. La resolució d'equacions permet determinar els valors pels quals es produeix la igualtat proposada. Així resoldre una equació és preguntar-se quins valors una equació es transforma en igualtat i trobar aquests valors. En aquesta secció per trobar els valors buscats de '''x''' l'únic que cal fer és aïllar la '''x''' seguint petites receptes d'aïllament. === Mètode per aïllar === Que vol dir aïllar la x? :Vol dir deixar la x sola a una banda del símbol igual, =, i a l'altra cantó no pot haver-hi cap x, exemple de x aïllada: ::<math>x=\frac{\;\;\frac{\sqrt{3}-1}{2}-4\;\;}{5-2^2}</math> :Aquesta posició ens permet calcular el valor de x fent purament càlculs. Podem aïllar una y? :Sí que es pot, però es prioritza l'aïllament de x. De fet podem aïllar el que es vulgui o es demani. Quin procediment farem per aïllar la x? :Cada operació té un procediment o mètode algebraic per desfer-la que per simplificar-lo en direm '''moviments''', només farem els més importants a recordar '''per sempre'''. ==== Moviments per sumes i restes ==== [[File:Chess in Dupont.jpg|150px|right]] {|style="border: 2px solid #ccf;" cellpadding="10" cellspacing="0" |style="border: 2px solid #ccf;"|<math>x+a=y</math> <math>x=y-a</math> |style="border: 2px solid #ccf;"|<math>x-a=y</math> <math>x=y+a</math> |- |style="border: 2px solid #ccf;"|<math>a+x=y</math> <math>x=-a+y</math> |style="border: 2px solid #ccf;"|<math>-a+x=y</math> <math>x=+a+y</math> |} {|cellspacing="3" cellpadding="3" style="border: 0px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure les demostracions de les 4 regles" data-collapsetext="Oculta-les" |- |width="50%" style="vertical-align: top;"|'''Nota''': La x també es pot moure en qualsevol moment. |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>x+a=y</math> Comparant l'equació amb una balança, si restem a un costat de la igualtat llavors també restem a l'altre costat per mantenir la igualtat o equilibri en cas de la balança(vermell): ::<math>x+a=y\;\;\;</math> <math>\Rightarrow\;\;\; x+a\color{red}-a\color{black}=y\color{red}-a\;\;\;</math> <math>\Rightarrow\;\;\; x+0=y-a\;\;\;</math> <math>\Rightarrow\;\;\; x=y-a</math> El resultat és un '''moviment'''; tot valor '''+a''' que suma i és positiu a un costat passa a l'altre amb signe canviat '''-a''': <math>x=y-a</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>x-a=y</math> Comparant l'equació amb una balança, si sumem a un costat de la igualtat llavors també sumem a l'altre costat per mantenir la igualtat o equilibri en cas de la balança(vermell): ::<math>x-a=y\;\;\;</math> <math>\Rightarrow\;\;\; x-a\color{red}+a\color{black}=y\color{red}+a\;\;\;</math> <math>\Rightarrow\;\;\; x+0=y+a\;\;\;</math> <math>\Rightarrow\;\;\; x=y+a</math> El resultat és un '''moviment'''; tot valor '''-a''' que resta o és negatiu sumant a un costat passa a l'altre amb signe canviat '''+a''': <math>x=y+a</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>a+x=y</math> ::<math>a+x=y\;\;\;</math> <math>\Rightarrow\;\;\;\color{red}-a\color{black}+a+x=\color{red}-a\color{black}+y\;\;\;</math> <math>\Rightarrow\;\;\; 0+x=-a+y\;\;\;</math> <math>\Rightarrow\;\;\; x=-a+y.</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>-a+x=y</math> ::<math>-a+x=y\;\;\;</math> <math>\Rightarrow\;\;\;\color{red}+a\color{black}-a+x=\color{red}+a\color{black}+y\;\;\;</math> <math>\Rightarrow\;\;\; 0+x=a+y\;\;\;</math> <math>\Rightarrow\;\;\; x=a+y.</math> |} Exemples: {|width="100%" |width="50%"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>1)\;2+x=14</math> |- |colspan="2"|A +2 li suma una x, si volem deixar sola la x llavors el +2 passa a l'altre cantó com a -2. ::+ x = + 14 - 2 Operant surt: :: x = 12 Ja hem acabat. |} |width="50%"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>2)\;x-3=14</math> |- |colspan="2"|A x li resta 3, si volem deixar sola la x llavors el -3 passa a l'altre cantó com a +3. ::+ x = + 14 + 3 Operant surt: :: x = 17 Ja hem acabat. |} |- |width="50%"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>3)\;-4+x=0</math> |- |colspan="2"|A -4 li suma x, si volem deixar sola la x llavors el -4 passa a l'altre cantó com a +4. ::+ x = + 0 + 4 Operant surt: :: x = 4 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>4)\;x+1=1</math> |- |colspan="2"|A +x li suma 1, si volem deixar sola la x llavors el +1 passa a l'altre cantó com a -1. ::+ x = + 1 - 1 Operant surt: :: x = 0 Ja hem acabat. |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>5)\;3+x-2=7</math> |- |colspan="2"|A +3 li suma x i li resta 2, si volem deixar sola la x llavors el +3 passa a l'altre cantó com a -3 i el -2 passa a l'altre cantó com a +2. ::+ x = + 7 - 3 + 2 Operant surt: :: x = 6 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>6)\;x-3+x=x+10</math> |- |colspan="2"|A +x li resta 3 i li suma x, si volem deixar sola la x llavors *El -3 passa a l'altre cantó com a +3. *El +x del cantó dret passa a l'altre cantó com a -x. ::+ x + x - x = + 10 + 3 Operant surt: :: x = 13 Ja hem acabat. |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>7)\;3x-2=2x+5</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta *El +2x passa a l'altre cantó com a -2x. *El -2 passa a l'altre cantó com a +2. ::3x-2x=5+2 Operant surt: :: x = 7 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>8)\;4-x+2+2x=10</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta *El -x+2x és x perquè a 2x li restem una x. No hem fet cap moviment per sobre el signe d'igualtat. *El +4 i +2 passa a l'altre cantó com -4 i -2. ::x=10-4-2 Operant surt: ::x=4 Ja hem acabat. |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>9)\;x+5+x-4=5+x-3</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta. *Canviant de lloc el +5, -4 i +x tenim. ::x+x-x=5-3-5+4 Operant surt: ::x=1 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>10)\;x-5+x-2=7-x+2x</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta. *Canviant de lloc el -x, +2x, -5 i -2 tenim. ::x+x+x-2x=7+5+2 Operant surt: ::x=14 Ja hem acabat. |} |} ===== Exercicis ===== Els exercicis s'han de fer amb els passos de la taula encara que es vegi a ull la solució. {| |width="200"| *<math>5+x=8</math> |width="200"| *<math>x-5=13</math> |width="200"| *<math>-3+x=7</math> |width="200"| *<math>2+x-1=5</math> |- |width="200"| *<math>-3+x+2=-8</math> |width="200"| *<math>-2+x-2=-7</math> |width="200"| *<math>x+5+x=x+8</math> |width="200"| *<math>0+x-3+2x=2x+6</math> |} ==== Moviments per multiplicacions i divisions ==== {|style="border: 2px solid #ccf;" cellpadding="10" cellspacing="0" |style="border: 2px solid #ccf;"|<math>x\cdot a=y</math> <math>x=\frac{y}{a}</math> |style="border: 2px solid #ccf;"|<math>\frac{x}{a}=y</math> <math>x=y\cdot a</math> |- |style="border: 2px solid #ccf;"|<math>a\cdot x=y</math> <math>x=\frac{y}{a}</math> |style="border: 2px solid #ccf;"| <math>\frac{x}{a}=y</math> <math>x=a\cdot y</math> |} '''Nota''': aquest moviments no canvien mai el signe. Exemples: {| |width="300px"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>1)\;3\cdot x=16</math> |- |colspan="2"|A +3 li multiplica x, si volem deixar sola la x llavors el +3 passa a dividir a +16 sense canvi de signe perquè era una multiplicació: ::<math>+ x =\frac{+16}{+3}</math> és a dir <math>x =\frac{16}{3}.</math> |} |width="300px"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>2)\;x\cdot 10=0</math> |- |colspan="2"|A +x li multiplica +10, si volem deixar sola la x llavors el +10 passa a dividir a +0 sense canvi de signe perquè era una multiplicació: ::<math>+ x =\frac{+0}{+10}</math> Operant surt <math>x =0.</math> |} |width="300px"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="300px" style="vertical-align: top;"|<math>3)\;\frac{x}{37}=1</math> |- |colspan="2"|A +x li divideix +37, si volem deixar sola la x llavors el +37 passa a multiplicar a +1 sense canvi de signe perquè estava dividint: ::<math>+ x =+1\cdot (+37)</math> Operant surt <math>x =37</math> |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>4)\;\frac{x}{-2}=5</math> |- |colspan="2"|A +x li divideix -2, si volem deixar sola la x llavors el -2 passa a multiplicar a +5 sense canvi de signe perquè estava dividint: ::<math>+ x =+5 \cdot (-2)</math> Operant surt <math>x =-10</math> |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>5)\;\frac{x\cdot 2}{3}=10</math> |- |colspan="2"|A +x li multiplica el +2 i després divideix +3, si volem deixar sola la x llavors el +3 passa a multiplicar a +10 sense canvi de signe perquè estava dividint: ::<math>+ x 2 =+10 \cdot 3</math> ara el +2 que multiplica passa a dividir com a +2 sense canvi de digne perquè estava multiplicant: ::<math>+ x =\frac{+10 \cdot 3}{+2}</math> Operant surt <math>x =15</math> |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>6)\;\frac{x}{4}=\frac{3}{4}</math> |- |colspan="2"|A +x li divideix +4, si volem deixar sola la x llavors el +4 passa a multiplicar la fracció <math>+\frac{3}{4}</math> o al +3, és el mateix, sense canvi de signe perquè estava dividint: ::<math>+ x =+\frac{3}{4} \cdot 4</math> o millor escrit <math>+ x =+\frac{3 \cdot 4}{4}</math> Operant surt <math>x =3</math> |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>7)\;8\cdot x = 8\cdot 15</math> |- |colspan="2"|A +8 multiplica a x, si volem deixar sola la x llavors el +8 passa a dividir a 8·15 sense canvi de signe perquè estava multiplicant: ::<math>+ x =\frac{+8 \cdot 15}{+8}</math> Operant surt <math>x =15</math> |} |} === Solucions d'una equació === En solucionar equacions senzilles apareixien 3 casos a tenir en compte sempre. ==== Una solució ==== Tenen una solució les equacions on la x pren un únic valor com per exemple: :{|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure resolució" data-collapsetext="Oculta-la" |- |width="50%" style="vertical-align: top;"|<math>3x+2=8</math> |- |colspan="2" style="border: 1px solid #77d;"|Resolent tenim: ::<math>3\cdot x = 8 - 2</math> ::<math>3\cdot x = 6</math> ::<math>x =\frac{6}{3}</math> Per tant <math>x =2</math> |} Per tant l'únic valors és x=2, si provem un altre valor sigui quin sigui no funciona. {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure les proves" data-collapsetext="Oculta-les" |- |width="50%" style="vertical-align: top;"|Proves amb diferents valors de l'equació <math>3x+2=8.</math> |- |colspan="2" style="border: 1px solid #77d;"|Comprovem si la solució x=2 és certa, per tant es subtitueix 2 dins l'equació: ::<math>3\cdot (2)+2=8</math> operant tenim <math>6+2=8</math> i finalment <math>8=8</math> i com que és cert tenim que la solució és correcta. Comprovem una possible solucions com x=0 que és la més ràpida: ::<math>3\cdot (0)+2=8</math> operant tenim <math>0+2=8</math> i finalment <math>2=8</math> i com que és fals tenim que 0 no és solució. Comprovem una possible solució com x=4: ::<math>3\cdot (4)+2=8</math> operant tenim <math>12+2=8</math> i finalment <math>14=8</math> i com que és fals tenim que 4 no és solució. Comprovem una possible solució com x=-3: ::<math>3\cdot (-3)+2=8</math> operant tenim <math>-9+2=8</math> i finalment <math>-7=8</math> i com que és fals tenim que -3 no és solució. i així podem provar qualsevol altre valor per a x i garanteix que no funcionarà tampoc gràcies a la utilització correcta dels moviments algebraics. |} ==== Cap solució ==== No tenen cap solució les equacions on fent moviments desapareix la x i queda una igualtat contradictòria com: :<math>3x+2=x+1+2x</math> ==== Tot valor és solució ==== Tots els valors són solució d'una equació on fent moviments on desapareix la x obtenim trivialitats del tipus 0=0 com: :<math>x+5=3+x+2</math> ==== Equació de segon grau ==== Les equacions de segon grau són de la forma: :<math>ax^2+bx+c=0</math> Per tant es tracta d'un polinomi de grau 2 igualat a zero. La fórmula de resolució és la següent: :<math>x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}</math> Exemples detallats: {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|1) <math>3x^2+2x-5=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=3'''. :La "b" és qui acompanya a x i en aquest cas es '''b=2'''. :Per últim "c" és qui està sol, es a dir '''c=-5'''. Pas 2: Substituir a, b i c dins la fórmula de resolució, recordant que els negatius s'han d'introduir amb parèntesis: :<math>x=\frac{-2 \pm \sqrt{2^2-4\cdot 3\cdot (-5)}}{2\cdot 3}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{-2 \pm \sqrt{4+60}}{6}=\frac{-2 \pm \sqrt{64}}{6}=\frac{-2 \pm 8}{6}</math> <math>=\begin{cases} \frac{-2 + 8}{6}=\frac{6}{6}=1\\ \\ \frac{-2 - 8}{6}=\frac{-10}{6}=-\frac{5}{3} \end{cases}</math> Per tant les dues solucions són <math>x_1=1</math> i <math>x_2=-\frac{5}{3}</math> |} {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|2) <math>5x^2-6x+1=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=5'''. :La "b" és qui acompanya a x i en aquest cas es '''b=-6'''. :Per últim "c" és qui està sol, es a dir '''c=1'''. Pas 2: Substituir a, b i c dins la fórmula de resolució, recordant que els negatius s'han d'introduir amb parèntesis: :<math>x=\frac{-(-6) \pm \sqrt{(-6)^2-4\cdot 5\cdot 1}}{2\cdot 5}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{+6 \pm \sqrt{36-20}}{10}=\frac{6 \pm \sqrt{16}}{10}=\frac{6 \pm 4}{10}</math> <math>=\begin{cases} \frac{6 + 4}{10}=\frac{10}{10}=1\\ \\ \frac{6 - 4}{10}=\frac{2}{10}=\frac{1}{5} \end{cases}</math> Per tant les dues solucions són <math>x_1=1</math> i <math>x_2=\frac{1}{5}.</math> |} {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|3) <math>x^2+x+1=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=1'''. :La "b" és qui acompanya a x i en aquest cas es '''b=1'''. :Per últim "c" és qui està sol, es a dir '''c=1'''. Pas 2: Substituir a, b i c dins la fórmula de resolució: :<math>x=\frac{-1 \pm \sqrt{1^2-4\cdot 1\cdot 1}}{2\cdot 1}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{-1 \pm \sqrt{1-4}}{2}=\frac{-1 \pm \sqrt{-3}}{2}</math> Si el discriminant és negatiu, en aquest cas -3, direm que l'equació de segon grau no té solució. |} {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|4) <math>x^2+2x+1=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=1'''. :La "b" és qui acompanya a x i en aquest cas es '''b=2'''. :Per últim "c" és qui està sol, es a dir '''c=1'''. Pas 2: Substituir a, b i c dins la fórmula de resolució: :<math>x=\frac{-2 \pm \sqrt{2^2-4\cdot 1\cdot 1}}{2\cdot 1}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{-2 \pm \sqrt{4-4}}{2}=\frac{-1 \pm \sqrt{0}}{2}=\frac{-1 \pm 0}{2}=\frac{-1}{2}=-\frac{1}{2}</math> Si el discriminant és zero direm que l'equació de segon grau té una única solució que és <math>x=-\frac{1}{2}.</math> |} == Notes i referències == [[Category:Matemàtiques de tercer d'ESO]] [[Category:CA]] 8eoexxtq10eh2smiqrmvy00qtpp1lzt 384277 384276 2026-05-20T16:30:13Z Profev 36331 /* Mètode per aïllar */ + 384277 wikitext text/x-wiki En aquesta secció veurem els dos mètodes generals per aïllar incògnites com la x i com es combinen entre ells. Les equacions són fonamental a les matemàtiques modernes i la seva utilització comença a segon d'ESO aproximadament. [[File:Balanza MPA.jpg|400px|right]] == Igualtats i equacions == Una '''igualtat'''<ref>No s'ha de confondre aquesta definició amb el nom del símbol igual, '''='''. Dir que tot el que porta el símbol d'igualtat és una igualtat confon el concepte d'equació no indica igualtat sinó que pregunta o proposa si hi ha igualtat o no, i de quina forma es produeix aquesta igualtat.</ref> és l'afirmació que dues coses són iguals; és saber que el valor a banda i banda del símbol d'igualtat és exactament el mateix. En general es diu igualtat quan ha quedat clar que són iguals i no fa falta una comprovació. Es pot fer que dues coses siguin iguals en determinats aspectes o situacions, excloent-ne d'altres, segons l'àrea de què es parla: àlgebra, aritmètica, lògica, anàlisi, geometria, etc. A continuació es deixen exemples d'alguns textos que fan servir d'altres noms similars: una igualtat, una identitat algèbrica i una equivalència aritmètica, respectivament, destacant que visualment són símbols diferents.<ref>S'han de respectar els apunts que es donen utilitzant el seu lèxic, ja que, de vegades, no és gratuït.</ref> {| |width="200"| *<math>x=2\; kg</math> |width="200"| *<math>x^2=x\cdot x</math> |width="200"| *<math>\frac{3}{15}=\frac{1}{5}</math> |} Una '''equació''' és una proposta de relació entre dues expressions unides amb un símbol d'igualtat, però que no són necessàriament iguals de bon principi. Així, una equació estableix condicions entre dues expressions. Didàcticament i habitualment, les equacions es presenten com a simples preguntes. {| |width="200"| *<math>2\cdot x-3 = 5</math> |width="200"| *<math>x = 2\cdot a</math> |width="200"| *<math>x^2=x^3</math> |} La utilització freqüent d'equacions és per establir lligams entre diversos valors i per tant deduir uns respecte d'altres. Així docs s'estableix la cercar valors a partir d'altres valors. La resolució d'equacions permet determinar els valors pels quals es produeix la igualtat proposada. Així resoldre una equació és preguntar-se quins valors una equació es transforma en igualtat i trobar aquests valors. En aquesta secció per trobar els valors buscats de '''x''' l'únic que cal fer és aïllar la '''x''' seguint petites receptes d'aïllament. === Mètode per aïllar === Què vol dir aïllar la x? :Vol dir deixar la x sola a una banda del símbol igual, =, i a l'altra cantó no pot haver-hi cap x, exemple de x aïllada: ::<math>x=\frac{\;\;\frac{\sqrt{3}-1}{2}-4\;\;}{5-2^2}</math> :Aquesta posició ens permet calcular el valor de x fent purament càlculs. Podem aïllar una y? :Sí que es pot, però es prioritza l'aïllament de x. De fet podem aïllar el que es vulgui o es demani. Quin procediment farem per aïllar la x? :Cada operació té un procediment o mètode algebraic per desfer-la que per simplificar-lo en direm '''moviments''', només farem els més importants a recordar '''per sempre'''. ==== Moviments per sumes i restes ==== [[File:Chess in Dupont.jpg|150px|right]] {|style="border: 2px solid #ccf;" cellpadding="10" cellspacing="0" |style="border: 2px solid #ccf;"|<math>x+a=y</math> <math>x=y-a</math> |style="border: 2px solid #ccf;"|<math>x-a=y</math> <math>x=y+a</math> |- |style="border: 2px solid #ccf;"|<math>a+x=y</math> <math>x=-a+y</math> |style="border: 2px solid #ccf;"|<math>-a+x=y</math> <math>x=+a+y</math> |} {|cellspacing="3" cellpadding="3" style="border: 0px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure les demostracions de les 4 regles" data-collapsetext="Oculta-les" |- |width="50%" style="vertical-align: top;"|'''Nota''': La x també es pot moure en qualsevol moment. |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>x+a=y</math> Comparant l'equació amb una balança, si restem a un costat de la igualtat llavors també restem a l'altre costat per mantenir la igualtat o equilibri en cas de la balança(vermell): ::<math>x+a=y\;\;\;</math> <math>\Rightarrow\;\;\; x+a\color{red}-a\color{black}=y\color{red}-a\;\;\;</math> <math>\Rightarrow\;\;\; x+0=y-a\;\;\;</math> <math>\Rightarrow\;\;\; x=y-a</math> El resultat és un '''moviment'''; tot valor '''+a''' que suma i és positiu a un costat passa a l'altre amb signe canviat '''-a''': <math>x=y-a</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>x-a=y</math> Comparant l'equació amb una balança, si sumem a un costat de la igualtat llavors també sumem a l'altre costat per mantenir la igualtat o equilibri en cas de la balança(vermell): ::<math>x-a=y\;\;\;</math> <math>\Rightarrow\;\;\; x-a\color{red}+a\color{black}=y\color{red}+a\;\;\;</math> <math>\Rightarrow\;\;\; x+0=y+a\;\;\;</math> <math>\Rightarrow\;\;\; x=y+a</math> El resultat és un '''moviment'''; tot valor '''-a''' que resta o és negatiu sumant a un costat passa a l'altre amb signe canviat '''+a''': <math>x=y+a</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>a+x=y</math> ::<math>a+x=y\;\;\;</math> <math>\Rightarrow\;\;\;\color{red}-a\color{black}+a+x=\color{red}-a\color{black}+y\;\;\;</math> <math>\Rightarrow\;\;\; 0+x=-a+y\;\;\;</math> <math>\Rightarrow\;\;\; x=-a+y.</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Cas''': <math>-a+x=y</math> ::<math>-a+x=y\;\;\;</math> <math>\Rightarrow\;\;\;\color{red}+a\color{black}-a+x=\color{red}+a\color{black}+y\;\;\;</math> <math>\Rightarrow\;\;\; 0+x=a+y\;\;\;</math> <math>\Rightarrow\;\;\; x=a+y.</math> |} Exemples: {|width="100%" |width="50%"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>1)\;2+x=14</math> |- |colspan="2"|A +2 li suma una x, si volem deixar sola la x llavors el +2 passa a l'altre cantó com a -2. ::+ x = + 14 - 2 Operant surt: :: x = 12 Ja hem acabat. |} |width="50%"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>2)\;x-3=14</math> |- |colspan="2"|A x li resta 3, si volem deixar sola la x llavors el -3 passa a l'altre cantó com a +3. ::+ x = + 14 + 3 Operant surt: :: x = 17 Ja hem acabat. |} |- |width="50%"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>3)\;-4+x=0</math> |- |colspan="2"|A -4 li suma x, si volem deixar sola la x llavors el -4 passa a l'altre cantó com a +4. ::+ x = + 0 + 4 Operant surt: :: x = 4 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>4)\;x+1=1</math> |- |colspan="2"|A +x li suma 1, si volem deixar sola la x llavors el +1 passa a l'altre cantó com a -1. ::+ x = + 1 - 1 Operant surt: :: x = 0 Ja hem acabat. |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>5)\;3+x-2=7</math> |- |colspan="2"|A +3 li suma x i li resta 2, si volem deixar sola la x llavors el +3 passa a l'altre cantó com a -3 i el -2 passa a l'altre cantó com a +2. ::+ x = + 7 - 3 + 2 Operant surt: :: x = 6 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>6)\;x-3+x=x+10</math> |- |colspan="2"|A +x li resta 3 i li suma x, si volem deixar sola la x llavors *El -3 passa a l'altre cantó com a +3. *El +x del cantó dret passa a l'altre cantó com a -x. ::+ x + x - x = + 10 + 3 Operant surt: :: x = 13 Ja hem acabat. |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>7)\;3x-2=2x+5</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta *El +2x passa a l'altre cantó com a -2x. *El -2 passa a l'altre cantó com a +2. ::3x-2x=5+2 Operant surt: :: x = 7 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>8)\;4-x+2+2x=10</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta *El -x+2x és x perquè a 2x li restem una x. No hem fet cap moviment per sobre el signe d'igualtat. *El +4 i +2 passa a l'altre cantó com -4 i -2. ::x=10-4-2 Operant surt: ::x=4 Ja hem acabat. |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>9)\;x+5+x-4=5+x-3</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta. *Canviant de lloc el +5, -4 i +x tenim. ::x+x-x=5-3-5+4 Operant surt: ::x=1 Ja hem acabat. |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>10)\;x-5+x-2=7-x+2x</math> |- |colspan="2"|Agrupen les x a l'esquerra i les constants a la dreta. *Canviant de lloc el -x, +2x, -5 i -2 tenim. ::x+x+x-2x=7+5+2 Operant surt: ::x=14 Ja hem acabat. |} |} ===== Exercicis ===== Els exercicis s'han de fer amb els passos de la taula encara que es vegi a ull la solució. {| |width="200"| *<math>5+x=8</math> |width="200"| *<math>x-5=13</math> |width="200"| *<math>-3+x=7</math> |width="200"| *<math>2+x-1=5</math> |- |width="200"| *<math>-3+x+2=-8</math> |width="200"| *<math>-2+x-2=-7</math> |width="200"| *<math>x+5+x=x+8</math> |width="200"| *<math>0+x-3+2x=2x+6</math> |} ==== Moviments per multiplicacions i divisions ==== {|style="border: 2px solid #ccf;" cellpadding="10" cellspacing="0" |style="border: 2px solid #ccf;"|<math>x\cdot a=y</math> <math>x=\frac{y}{a}</math> |style="border: 2px solid #ccf;"|<math>\frac{x}{a}=y</math> <math>x=y\cdot a</math> |- |style="border: 2px solid #ccf;"|<math>a\cdot x=y</math> <math>x=\frac{y}{a}</math> |style="border: 2px solid #ccf;"| <math>\frac{x}{a}=y</math> <math>x=a\cdot y</math> |} '''Nota''': aquest moviments no canvien mai el signe. Exemples: {| |width="300px"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>1)\;3\cdot x=16</math> |- |colspan="2"|A +3 li multiplica x, si volem deixar sola la x llavors el +3 passa a dividir a +16 sense canvi de signe perquè era una multiplicació: ::<math>+ x =\frac{+16}{+3}</math> és a dir <math>x =\frac{16}{3}.</math> |} |width="300px"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>2)\;x\cdot 10=0</math> |- |colspan="2"|A +x li multiplica +10, si volem deixar sola la x llavors el +10 passa a dividir a +0 sense canvi de signe perquè era una multiplicació: ::<math>+ x =\frac{+0}{+10}</math> Operant surt <math>x =0.</math> |} |width="300px"| {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="300px" style="vertical-align: top;"|<math>3)\;\frac{x}{37}=1</math> |- |colspan="2"|A +x li divideix +37, si volem deixar sola la x llavors el +37 passa a multiplicar a +1 sense canvi de signe perquè estava dividint: ::<math>+ x =+1\cdot (+37)</math> Operant surt <math>x =37</math> |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>4)\;\frac{x}{-2}=5</math> |- |colspan="2"|A +x li divideix -2, si volem deixar sola la x llavors el -2 passa a multiplicar a +5 sense canvi de signe perquè estava dividint: ::<math>+ x =+5 \cdot (-2)</math> Operant surt <math>x =-10</math> |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>5)\;\frac{x\cdot 2}{3}=10</math> |- |colspan="2"|A +x li multiplica el +2 i després divideix +3, si volem deixar sola la x llavors el +3 passa a multiplicar a +10 sense canvi de signe perquè estava dividint: ::<math>+ x 2 =+10 \cdot 3</math> ara el +2 que multiplica passa a dividir com a +2 sense canvi de digne perquè estava multiplicant: ::<math>+ x =\frac{+10 \cdot 3}{+2}</math> Operant surt <math>x =15</math> |} | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>6)\;\frac{x}{4}=\frac{3}{4}</math> |- |colspan="2"|A +x li divideix +4, si volem deixar sola la x llavors el +4 passa a multiplicar la fracció <math>+\frac{3}{4}</math> o al +3, és el mateix, sense canvi de signe perquè estava dividint: ::<math>+ x =+\frac{3}{4} \cdot 4</math> o millor escrit <math>+ x =+\frac{3 \cdot 4}{4}</math> Operant surt <math>x =3</math> |} |- | {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="100%" data-expandtext=":)" data-collapsetext=":D" |- |width="50%" style="vertical-align: top;"|<math>7)\;8\cdot x = 8\cdot 15</math> |- |colspan="2"|A +8 multiplica a x, si volem deixar sola la x llavors el +8 passa a dividir a 8·15 sense canvi de signe perquè estava multiplicant: ::<math>+ x =\frac{+8 \cdot 15}{+8}</math> Operant surt <math>x =15</math> |} |} === Solucions d'una equació === En solucionar equacions senzilles apareixien 3 casos a tenir en compte sempre. ==== Una solució ==== Tenen una solució les equacions on la x pren un únic valor com per exemple: :{|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure resolució" data-collapsetext="Oculta-la" |- |width="50%" style="vertical-align: top;"|<math>3x+2=8</math> |- |colspan="2" style="border: 1px solid #77d;"|Resolent tenim: ::<math>3\cdot x = 8 - 2</math> ::<math>3\cdot x = 6</math> ::<math>x =\frac{6}{3}</math> Per tant <math>x =2</math> |} Per tant l'únic valors és x=2, si provem un altre valor sigui quin sigui no funciona. {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure les proves" data-collapsetext="Oculta-les" |- |width="50%" style="vertical-align: top;"|Proves amb diferents valors de l'equació <math>3x+2=8.</math> |- |colspan="2" style="border: 1px solid #77d;"|Comprovem si la solució x=2 és certa, per tant es subtitueix 2 dins l'equació: ::<math>3\cdot (2)+2=8</math> operant tenim <math>6+2=8</math> i finalment <math>8=8</math> i com que és cert tenim que la solució és correcta. Comprovem una possible solucions com x=0 que és la més ràpida: ::<math>3\cdot (0)+2=8</math> operant tenim <math>0+2=8</math> i finalment <math>2=8</math> i com que és fals tenim que 0 no és solució. Comprovem una possible solució com x=4: ::<math>3\cdot (4)+2=8</math> operant tenim <math>12+2=8</math> i finalment <math>14=8</math> i com que és fals tenim que 4 no és solució. Comprovem una possible solució com x=-3: ::<math>3\cdot (-3)+2=8</math> operant tenim <math>-9+2=8</math> i finalment <math>-7=8</math> i com que és fals tenim que -3 no és solució. i així podem provar qualsevol altre valor per a x i garanteix que no funcionarà tampoc gràcies a la utilització correcta dels moviments algebraics. |} ==== Cap solució ==== No tenen cap solució les equacions on fent moviments desapareix la x i queda una igualtat contradictòria com: :<math>3x+2=x+1+2x</math> ==== Tot valor és solució ==== Tots els valors són solució d'una equació on fent moviments on desapareix la x obtenim trivialitats del tipus 0=0 com: :<math>x+5=3+x+2</math> ==== Equació de segon grau ==== Les equacions de segon grau són de la forma: :<math>ax^2+bx+c=0</math> Per tant es tracta d'un polinomi de grau 2 igualat a zero. La fórmula de resolució és la següent: :<math>x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}</math> Exemples detallats: {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|1) <math>3x^2+2x-5=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=3'''. :La "b" és qui acompanya a x i en aquest cas es '''b=2'''. :Per últim "c" és qui està sol, es a dir '''c=-5'''. Pas 2: Substituir a, b i c dins la fórmula de resolució, recordant que els negatius s'han d'introduir amb parèntesis: :<math>x=\frac{-2 \pm \sqrt{2^2-4\cdot 3\cdot (-5)}}{2\cdot 3}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{-2 \pm \sqrt{4+60}}{6}=\frac{-2 \pm \sqrt{64}}{6}=\frac{-2 \pm 8}{6}</math> <math>=\begin{cases} \frac{-2 + 8}{6}=\frac{6}{6}=1\\ \\ \frac{-2 - 8}{6}=\frac{-10}{6}=-\frac{5}{3} \end{cases}</math> Per tant les dues solucions són <math>x_1=1</math> i <math>x_2=-\frac{5}{3}</math> |} {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|2) <math>5x^2-6x+1=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=5'''. :La "b" és qui acompanya a x i en aquest cas es '''b=-6'''. :Per últim "c" és qui està sol, es a dir '''c=1'''. Pas 2: Substituir a, b i c dins la fórmula de resolució, recordant que els negatius s'han d'introduir amb parèntesis: :<math>x=\frac{-(-6) \pm \sqrt{(-6)^2-4\cdot 5\cdot 1}}{2\cdot 5}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{+6 \pm \sqrt{36-20}}{10}=\frac{6 \pm \sqrt{16}}{10}=\frac{6 \pm 4}{10}</math> <math>=\begin{cases} \frac{6 + 4}{10}=\frac{10}{10}=1\\ \\ \frac{6 - 4}{10}=\frac{2}{10}=\frac{1}{5} \end{cases}</math> Per tant les dues solucions són <math>x_1=1</math> i <math>x_2=\frac{1}{5}.</math> |} {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|3) <math>x^2+x+1=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=1'''. :La "b" és qui acompanya a x i en aquest cas es '''b=1'''. :Per últim "c" és qui està sol, es a dir '''c=1'''. Pas 2: Substituir a, b i c dins la fórmula de resolució: :<math>x=\frac{-1 \pm \sqrt{1^2-4\cdot 1\cdot 1}}{2\cdot 1}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{-1 \pm \sqrt{1-4}}{2}=\frac{-1 \pm \sqrt{-3}}{2}</math> Si el discriminant és negatiu, en aquest cas -3, direm que l'equació de segon grau no té solució. |} {|cellspacing="3" cellpadding="3" style="border: 1px solid #77d; background:#f8f8ff" width="300px" class="mw-collapsible mw-collapsed" width="70%" data-expandtext="Veure el càlcul de solucions detallat" data-collapsetext="Oculta'l" |- |width="50%" style="vertical-align: top;"|4) <math>x^2+2x+1=0</math> |- |colspan="2" style="border: 1px solid #77d;"|'''Càlcul de solucions''': Pas 1: Identificar a, b i c. :La "a" sempre serà el valor que acompanya a <math>x^2</math> i en aquest cas '''a=1'''. :La "b" és qui acompanya a x i en aquest cas es '''b=2'''. :Per últim "c" és qui està sol, es a dir '''c=1'''. Pas 2: Substituir a, b i c dins la fórmula de resolució: :<math>x=\frac{-2 \pm \sqrt{2^2-4\cdot 1\cdot 1}}{2\cdot 1}</math> Ara ja només es qüestió de calcular el valor de dins de l'arrel anomenat "discriminant". :<math>x=\frac{-2 \pm \sqrt{4-4}}{2}=\frac{-1 \pm \sqrt{0}}{2}=\frac{-1 \pm 0}{2}=\frac{-1}{2}=-\frac{1}{2}</math> Si el discriminant és zero direm que l'equació de segon grau té una única solució que és <math>x=-\frac{1}{2}.</math> |} == Notes i referències == [[Category:Matemàtiques de tercer d'ESO]] [[Category:CA]] 2v4kw0w5k0qpqo8hrsdb6aidapvlwn8 Template:Welcome/ja 10 48920 384295 384013 2026-05-21T01:24:00Z FuzzyBot 31756 Updating to match new version of source page 384295 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. 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As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> == ꠀꠞꠅ ꠖꠦꠈꠂꠘ == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> mrbobw33stu68cv8p7mnydai4qdyns1 Template:Welcome/tr 10 52561 384301 384019 2026-05-21T01:24:02Z FuzzyBot 31756 Updating to match new version of source page 384301 wikitext text/x-wiki <languages/> <div lang="en" dir="ltr" class="mw-content-ltr"> Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]! </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *Wikiversity beta is a hub for general [[Special:MyLanguage/wikiversity:multilingual|multilingual]] discussions of Wikiversity [[Special:MyLanguage/wikiversity:policies|policies]] and other [[:category:wikiversity|issues]]. It is also an [[:Category:wikiversity incubator|incubator]] for new Wikiversity projects in various [[:category:pages by language|languages]]. </div> *[[Special:MyLanguage/Wikiversity:Babel|babil]] bizim genel tartışmalar ve duyurular için forumumuzdur. <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> *If you are running a course with Wikiversity, consider creating a participant list. As your material grows, you may want to elect a [[Special:MyLanguage/wikiversity:Test wiki custodians|Test wiki custodian]] to help maintain the pages for the group. </div> <noinclude> <span id="See_also"></span> == Ayrıca bakınız == <div lang="en" dir="ltr" class="mw-content-ltr"> * [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]] </div> <div lang="en" dir="ltr" class="mw-content-ltr"> <!-- This is [[template:welcome|template:welcome]], not your talk page --> </div> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> kqfu8akyuju1p9usvl6045rthti1b7b Template:Welcome/pa 10 52893 384297 384015 2026-05-21T01:24:00Z FuzzyBot 31756 Updating to match new version of source page 384297 wikitext text/x-wiki <languages/> [[Special:MyLanguage/wikiversity:register|ਦਾਖ਼ਲਾ]] ਲੈਨ ਲਈ ਧੰਨਵਾਦ, ਅਤੇ [[Special:MyLanguage/Wikiversity|ਵਿਕੀਵਰਸਿਟੀ]] ਉਤੇ ਜੀ ਆਇਆਂ ਨੂੰ! *ਵਿਕੀਵਰਸਿਟੀ ਬੀਟਾ ਆਮ [[Special:MyLanguage/wikiversity:multilingual|ਬਹੁ-ਭਾਸ਼ਾਈ]] ਵਿਕੀਵਰਸਿਟੀ [[Special:MyLanguage/wikiversity:policies|ਨਿਤਿਆਂ]] ਅਤੇ ਹੋਰ [[:category:wikiversity|ਮਸਲਿਆਂ]] ਦੀ ਚਰਚਾ ਦਾ ਇੱਕ ਕੇਂਦਰ ਐ। ਇਹ ਵੱਖ-ਵੱਖ [[:category:pages by language|ਭਾਸ਼ਾਵਾਂ]] ਵਿੱਚ ਨਵੇਂ ਵਿਕੀਵਰਸਿਟੀ ਪ੍ਰੋਜੈਕਟਾਂ ਲਈ ਇੱਕ [[:Category:wikiversity incubator|incubator]] ਵੀ ਐ। *[[Special:MyLanguage/Wikiversity:Babel|ਬੈਬਲ (Babel)]] ਆਮ ਚਰਚਾਵਾਂ ਅਤੇ ਘੋਸ਼ਣਾਵਾਂ ਲਈ ਸਾਡਾ ਬਹੁ-ਭਾਸ਼ਾਈ ਮੰਚ ਐ। *ਜੇਕਰ ਤੁਸੀਂ ਵਿਕੀ ਲਈ ਨਵੇਂ ਹੋ, ਤਾਂ ਵਿਕੀ ਵਿੱਚ ਸੋਧ ਕਰਨ ਲਈ [[Special:MyLanguage/help:basic editing|ਇੱਥੇ]] ਥੋੜੀ ਜਾਣਕਾਰੀ ਐ। <div class="mw-translate-fuzzy"> *ਜੇਕਰ ਤੁਸੀਂ ਵਿਕੀਵਰਸਿਟੀ ਨਾਲ ਕੁਛ ਪੜਾਉਂਦੇ ਹੋ, ਤਾਂ [[$participants|Narrative_ecologies/Participants]] ਵਰਗੀ ਇੱਕ ਭਾਗੀਦਾਰ ਸੂਚੀ ਬਣਾਉਣ 'ਤੇ ਵਿਚਾਰ ਕਰੋ। ਜਿਵੇਂ-ਜਿਵੇਂ ਤੁਹਾਡੀ ਸਮੱਗਰੀ ਵਧਦੀ ਹੈ, ਤੁਸੀਂ ਟੋਲਿਆਂ ਲਈ ਵਰਕਿਆਂ ਨੂੰ ਬਣਾਈ ਰੱਖਣ ਵਿੱਚ ਮਦਦ ਲਈ ਇੱਕ [[Special:MyLanguage/wikiversity:Test wiki custodians|custodian]] ਚੁਣ ਸਕਦੇ ਹੋ। </div> <noinclude> <span id="See_also"></span> == ਇਹ ਵੀ ਵੇਖੋ == * [[Special:PrefixIndex/Template:Welcome/|ਬਹੁਤ ਸਾਰੀਆਂ ਬੋਲੀਆਂ ਵਿੱਚ ਜੀ ਆਇਆਂ ਨੂੰ ਸੁਨੇਹਾ]] <!-- ਇਹ [[template:welcome|template:welcome]] ਐ, ਤੁਹਾਡਾ ਗੱਲਬਾਤ ਸਫ਼ਾ ਨਹੀਂ ਐ --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> owcudr67y90dtsx1ve08ongw9bvcbqz Template:Welcome/he 10 53490 384289 384007 2026-05-21T01:23:57Z FuzzyBot 31756 Updating to match new version of source page 384289 wikitext text/x-wiki <languages/> תודה ש[[Special:MyLanguage/wikiversity:register|נרשמתם]], וברוכים הבאים ל[[Special:MyLanguage/Wikiversity|ויקיברסיטה]]! *גרסת הבטא של ויקיברסיטה היא מרכז לדיונים כלליים [[Special:MyLanguage/wikiversity:multilingual|רב-לשוניים]] על ה[[Special:MyLanguage/wikiversity:policies|מדיניות]] של ויקיברסיטה ונושאים [[:category:wikiversity|אחרים]]. זוהי גם [[:Category:wikiversity incubator|אינקובטור]] למיזמים חדשים של ויקיברסיטה ב[[:category:pages by language|שפות]] שונות. *[[Special:MyLanguage/Wikiversity:Babel|בבל]] הוא הפורום הרב-לשוני שלנו לדיונים כלליים והכרזות. *אם אתם חדשים בויקי, תוכלו למצוא [[Special:MyLanguage/help:basic editing|כאן]] את המינימום ההכרחי לעריכה בויקי. <div class="mw-translate-fuzzy"> *אם אתם מפעילים קורס בויקיברסיטה, שקלו ליצור רשימת משתתפים כמו [[$participants|אקולוגיות_נרטיביות/משתתפים]]. ככל שהחומר שלכם יגדל, ייתכן שתרצו לבחור [[Special:MyLanguage/wikiversity:Test wiki custodians|אפוטרופוס]] שיעזור לתחזק את הדפים עבור הקבוצה. </div> <noinclude> <span id="See_also"></span> == ר׳ גם == * [[Special:PrefixIndex/Template:Welcome/|הודעת ברוכים הבאים בשפות רבות]] <!-- זוהי [[template:welcome|תבנית:ברוכים הבאים]], לא דף השיחה שלך --> [[el:Πρότυπο:Καλωσόρισμα]] [[de:Vorlage:Willkommen]] [[cs:Šablona:Vítejte]] [[ar:قالب:ترحيب]] [[en:Template:Welcome]] [[es:Plantilla:Bienvenido usuario]] [[fr:Modèle:Bienvenue]] [[hi:साँचा:स्वागत]] [[it:Template:Benvenuto]] [[ko:틀:환영]] [[pt:Predefinição:Bem-vindo]] [[zh:Template:Welcome]] </noinclude> 5rh9s06rrr2x13p9iw8zjynxdwdzweu User:Селение 2 55596 384275 384256 2026-05-20T13:16:54Z Селение 55523 384275 wikitext text/x-wiki [[Galvenā lapa]] lmwq06xn3kqyqnj7ipt44d8r1gmln4o Main Page/lv 0 55598 384260 384258 2026-05-20T12:44:34Z Селение 55523 Created page with "== Kas Vikiversitāte nav? ==" 384260 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity is a [[foundationsite:our-work/wikimedia-projects|project]] of the [[w:Wikimedia Foundation|Wikimedia Foundation]]. It is a centre for the creation and use of free learning materials and activities. We host [[w:Free content|free]] education resources and scholarly projects. We also aim to collaborate with other Wikimedia projects and support their content development. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Many projects have already graduated from Beta Wikiversity and now have their own [[Wikiversity:Separate projects|separate projects]]. In Beta Wikiversity, contributors are currently working on the [[:category:CA|Catalan]], [[:category:SK|Slovak]], [[:category:SYL|Sylheti]], [[:category:VI|Vietnamese]] and [[States of Wikiversities|many other]] incubating language versions of Wikiversity projects. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == What is Wikiversity Beta? == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta is a [[Special:MyLanguage/Wikiversity:Multilingualism|multilingual]] hub for the coordination of Wikiversity projects in different languages, to further our [[Special:MyLanguage/Wikiversity:Mission|mission]] as in the [[Wikiversity:Approved Wikiversity project proposal|Wikiversity project proposal]]. This website hosts discussions about Wikiversity [[Special:MyLanguage/Wikiversity:Policies|policy]] for [[Special:MyLanguage/Wikiversity:Original research|original research]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta also serves as an [[:Category:Wikiversity incubator|incubator]] for Wikiversities that have not yet got their own sites. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] ob2302k0k06n56251fxrd24jcaifwz5 384262 384260 2026-05-20T12:45:23Z Селение 55523 Created page with "Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi." 384262 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Many projects have already graduated from Beta Wikiversity and now have their own [[Wikiversity:Separate projects|separate projects]]. In Beta Wikiversity, contributors are currently working on the [[:category:CA|Catalan]], [[:category:SK|Slovak]], [[:category:SYL|Sylheti]], [[:category:VI|Vietnamese]] and [[States of Wikiversities|many other]] incubating language versions of Wikiversity projects. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == What is Wikiversity Beta? == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta is a [[Special:MyLanguage/Wikiversity:Multilingualism|multilingual]] hub for the coordination of Wikiversity projects in different languages, to further our [[Special:MyLanguage/Wikiversity:Mission|mission]] as in the [[Wikiversity:Approved Wikiversity project proposal|Wikiversity project proposal]]. This website hosts discussions about Wikiversity [[Special:MyLanguage/Wikiversity:Policies|policy]] for [[Special:MyLanguage/Wikiversity:Original research|original research]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta also serves as an [[:Category:Wikiversity incubator|incubator]] for Wikiversities that have not yet got their own sites. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] pyyufr0088mf4cpoi5l0l02dfllpkri 384264 384262 2026-05-20T12:46:33Z Селение 55523 Created page with "Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām." 384264 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. <div lang="en" dir="ltr" class="mw-content-ltr"> == What is Wikiversity Beta? == </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta is a [[Special:MyLanguage/Wikiversity:Multilingualism|multilingual]] hub for the coordination of Wikiversity projects in different languages, to further our [[Special:MyLanguage/Wikiversity:Mission|mission]] as in the [[Wikiversity:Approved Wikiversity project proposal|Wikiversity project proposal]]. This website hosts discussions about Wikiversity [[Special:MyLanguage/Wikiversity:Policies|policy]] for [[Special:MyLanguage/Wikiversity:Original research|original research]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta also serves as an [[:Category:Wikiversity incubator|incubator]] for Wikiversities that have not yet got their own sites. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] ks4ypap8lsn7ecqqy2to2ce2dxijxsp 384266 384264 2026-05-20T12:46:52Z Селение 55523 Created page with "== Kas Vikiversitāte nav? ==" 384266 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. <span id="What_is_Wikiversity_Beta?"></span> == Kas Vikiversitāte nav? == <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta is a [[Special:MyLanguage/Wikiversity:Multilingualism|multilingual]] hub for the coordination of Wikiversity projects in different languages, to further our [[Special:MyLanguage/Wikiversity:Mission|mission]] as in the [[Wikiversity:Approved Wikiversity project proposal|Wikiversity project proposal]]. This website hosts discussions about Wikiversity [[Special:MyLanguage/Wikiversity:Policies|policy]] for [[Special:MyLanguage/Wikiversity:Original research|original research]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta also serves as an [[:Category:Wikiversity incubator|incubator]] for Wikiversities that have not yet got their own sites. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] nsdwl2ruasxu8uqnm1ncabi5xdw8m9y 384268 384266 2026-05-20T12:49:39Z Селение 55523 Created page with "Wikiversity Beta ir [[Special:MyLanguage/Wikiversity:Daudzvalodu|daudzvalodu]] centrs Wikiversity projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Wikiversity:Misija|misiju]], kā tas ir noteikts [[Wikiversity:Approved Wikiversity project project project|Wikiversity project project project]]. Šajā vietnē tiek rīkotas diskusijas par Wikiversity [[Special:MyLanguage/Wikiversity:Politikas|politiku]] Special:MyLanguage/Wikiversity..." 384268 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. <span id="What_is_Wikiversity_Beta?"></span> == Kas Vikiversitāte nav? == Wikiversity Beta ir [[Special:MyLanguage/Wikiversity:Daudzvalodu|daudzvalodu]] centrs Wikiversity projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Wikiversity:Misija|misiju]], kā tas ir noteikts [[Wikiversity:Approved Wikiversity project project project|Wikiversity project project project]]. Šajā vietnē tiek rīkotas diskusijas par Wikiversity [[Special:MyLanguage/Wikiversity:Politikas|politiku]] [[Special:MyLanguage/Wikiversity:Original research|oriģinālo pētījumu]]. <div lang="en" dir="ltr" class="mw-content-ltr"> Wikiversity Beta also serves as an [[:Category:Wikiversity incubator|incubator]] for Wikiversities that have not yet got their own sites. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] 07sqcee24mfxf3jx1c7xhexny9iqu04 384270 384268 2026-05-20T12:50:59Z Селение 55523 Created page with "Vikiversitāte Beta kalpo arī kā [[:Kategorija:Wikiversity inkubators|inkubators]] Wikiversity, kurām vēl nav savu vietņu." 384270 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. <span id="What_is_Wikiversity_Beta?"></span> == Kas Vikiversitāte nav? == Wikiversity Beta ir [[Special:MyLanguage/Wikiversity:Daudzvalodu|daudzvalodu]] centrs Wikiversity projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Wikiversity:Misija|misiju]], kā tas ir noteikts [[Wikiversity:Approved Wikiversity project project project|Wikiversity project project project]]. Šajā vietnē tiek rīkotas diskusijas par Wikiversity [[Special:MyLanguage/Wikiversity:Politikas|politiku]] [[Special:MyLanguage/Wikiversity:Original research|oriģinālo pētījumu]]. Vikiversitāte Beta kalpo arī kā [[:Kategorija:Wikiversity inkubators|inkubators]] Wikiversity, kurām vēl nav savu vietņu. <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] m4q4bjhn8ictavlon6gz98z18xceh0e 384272 384270 2026-05-20T13:06:22Z Селение 55523 384272 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. <span id="What_is_Wikiversity_Beta?"></span> == Kas Vikiversitāte nav? == Vikiversitāte Beta ir [[Special:MyLanguage/Vikiversitāte:Daudzvalodu|daudzvalodu]] centrs Vikiversitāte projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Vikiversitāte:Misija|misiju]], kā tas ir noteikts [[Vikiversitāte:Apstiprināts Vikiversitāte projekta projekts|Vikiversitātes projekta projekts]]. Šajā vietnē tiek rīkotas diskusijas par Vikiversitāte [[Special:MyLanguage/Vikiversitāte:Politikas|politiku]] [[Special:MyLanguage/Vikiversitāte:Oriģināls pētījums|oriģinālo pētījumu]]. Vikiversitāte Beta kalpo arī kā [[:Kategorija:Wikiversity inkubators|inkubators]] Wikiversity, kurām vēl nav savu vietņu. <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] jz7fgvcbehfc2y5r0capd9kti0nocgo 384274 384272 2026-05-20T13:06:44Z Селение 55523 384274 wikitext text/x-wiki <languages /> {{:Main Page/Top}} {{Frame|Wikiversity:Announcements}}__NOTOC__ <span id="What_is_Wikiversity?"></span> == Kas Vikiversitāte nav? == <div class="mw-translate-fuzzy"> Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. </div> Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. <span id="What_is_Wikiversity_Beta?"></span> == Kas Vikiversitāte nav? == Vikiversitāte Beta ir [[Special:MyLanguage/Vikiversitāte:Daudzvalodu|daudzvalodu]] centrs Vikiversitāte projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Vikiversitāte:Misija|misiju]], kā tas ir noteikts [[Vikiversitāte:Apstiprināts Vikiversitāte projekta projekts|Vikiversitātes projekta projekts]]. Šajā vietnē tiek rīkotas diskusijas par Vikiversitāte [[Special:MyLanguage/Vikiversitāte:Politikas|politiku]] [[Special:MyLanguage/Vikiversitāte:Oriģināls pētījums|oriģinālo pētījumu]]. Vikiversitāte Beta kalpo arī kā [[:Kategorija:Vikiversitāte inkubators|inkubators]] Vikiversitāte, kurām vēl nav savu vietņu. <div lang="en" dir="ltr" class="mw-content-ltr"> '''To have a new Wikiversity site''', you need three active participants for the project. Then you can [[m:Requests for new languages#Wikiversity|request]] (at [[m:|Meta]]) for a new language domain to be set up. Meanwhile, please add your project's main page to [[Template:Main page]]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> ''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].'' </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Works in progress == * Develop (and translate) our [[Special:MyLanguage/Wikiversity:Policies|policies and guidelines]] that will apply to Wikiversity projects in all languages. ** Should Wikiversity allow all types of [[Special:MyLanguage/Wikiversity:Research|research]], including [[Special:MyLanguage/Wikiversity:Original research|original research]]. ** [[Special:MyLanguage/Wikiversity:Research guidelines|Research guidelines]] — what rules are needed to assure that only high quality, scholarly research activities take place. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Have your say == * Feedbacks for Wikiversity: [[Wikiversity:Feedback]] * For custodial help: [[Wikiversity:Request custodian action]]. * General comments, suggestions, and proposals for the site: [[Wikiversity:Babel]] * [http://lists.wikimedia.org/pipermail/wikiversity-l/{{CURRENTYEAR}}-{{CURRENTMONTHNAME}}/thread.html New threads] from the [http://lists.wikimedia.org/pipermail/wikiversity-l/ Wikiversity mailing list]. </div> <div lang="en" dir="ltr" class="mw-content-ltr"> == Separate projects == </div> {{Wikiversity:Separate projects}} {{Sisterprojects}} {{Main page interwikis}} [[Category:Main Page{{#translation:}}]] 0zg5x3o6rzr8xnbvpyqcjvmdxw842zf Translations:Main Page/1/lv 1198 55599 384259 2026-05-20T12:44:33Z Селение 55523 Created page with "== Kas Vikiversitāte nav? ==" 384259 wikitext text/x-wiki == Kas Vikiversitāte nav? == cyru0ytwi0lpc8tok32xojh5cob5rsw Translations:Main Page/2/lv 1198 55600 384261 2026-05-20T12:45:22Z Селение 55523 Created page with "Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi." 384261 wikitext text/x-wiki Vikiversitāte ir [[w:Wikimedia Foundation|Wikimedia Foundation]] [[foundationsite:our-work/wikimedia-projects|projekts]]]. Tas ir centrs bezmaksas mācību materiālu un aktivitāšu izveidei un izmantošanai. Mēs mitinām [[w:Bezmaksas saturs|bezmaksas]] izglītības resursus un zinātniskus projektus. Mūsu mērķis ir arī sadarboties ar citiem Wikimedia projektiem un atbalstīt to satura izstrādi. gzcyqs32q94a9agyrp69ftuietpj7r3 Translations:Main Page/3/lv 1198 55601 384263 2026-05-20T12:46:32Z Селение 55523 Created page with "Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām." 384263 wikitext text/x-wiki Daudzi projekti jau ir absolvējuši Beta Wikiversity un tagad tiem ir savi [[Wikiversity:Atsevišķi projekti|atsevišķi projekti]]. Beta Vikiuniversitāte līdzstrādnieki pašlaik strādā pie [[:kategorija:CA|katalāņu]], [[:kategorija:SK|slovāku]], [[:kategorija:SYL|Silheti]], [[:kategorija:VI|vjetnamiešu]] un [[Wikiversities valstis|daudzām citām]] Wikiversity projektu inkubējamajām valodu versijām. t7518qy539pad2ueh3pxpiite5v2gyt Translations:Main Page/4/lv 1198 55602 384265 2026-05-20T12:46:51Z Селение 55523 Created page with "== Kas Vikiversitāte nav? ==" 384265 wikitext text/x-wiki == Kas Vikiversitāte nav? == cyru0ytwi0lpc8tok32xojh5cob5rsw Translations:Main Page/5/lv 1198 55603 384267 2026-05-20T12:49:38Z Селение 55523 Created page with "Wikiversity Beta ir [[Special:MyLanguage/Wikiversity:Daudzvalodu|daudzvalodu]] centrs Wikiversity projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Wikiversity:Misija|misiju]], kā tas ir noteikts [[Wikiversity:Approved Wikiversity project project project|Wikiversity project project project]]. Šajā vietnē tiek rīkotas diskusijas par Wikiversity [[Special:MyLanguage/Wikiversity:Politikas|politiku]] Special:MyLanguage/Wikiversity..." 384267 wikitext text/x-wiki Wikiversity Beta ir [[Special:MyLanguage/Wikiversity:Daudzvalodu|daudzvalodu]] centrs Wikiversity projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Wikiversity:Misija|misiju]], kā tas ir noteikts [[Wikiversity:Approved Wikiversity project project project|Wikiversity project project project]]. Šajā vietnē tiek rīkotas diskusijas par Wikiversity [[Special:MyLanguage/Wikiversity:Politikas|politiku]] [[Special:MyLanguage/Wikiversity:Original research|oriģinālo pētījumu]]. 5y723b1d13vjc649stbfcb4dcif93ye 384271 384267 2026-05-20T13:06:21Z Селение 55523 384271 wikitext text/x-wiki Vikiversitāte Beta ir [[Special:MyLanguage/Vikiversitāte:Daudzvalodu|daudzvalodu]] centrs Vikiversitāte projektu koordinēšanai dažādās valodās, lai veicinātu mūsu [[Special:MyLanguage/Vikiversitāte:Misija|misiju]], kā tas ir noteikts [[Vikiversitāte:Apstiprināts Vikiversitāte projekta projekts|Vikiversitātes projekta projekts]]. Šajā vietnē tiek rīkotas diskusijas par Vikiversitāte [[Special:MyLanguage/Vikiversitāte:Politikas|politiku]] [[Special:MyLanguage/Vikiversitāte:Oriģināls pētījums|oriģinālo pētījumu]]. qh31cj0qbeoqizu08m4reniaeay17xh Translations:Main Page/6/lv 1198 55604 384269 2026-05-20T12:50:57Z Селение 55523 Created page with "Vikiversitāte Beta kalpo arī kā [[:Kategorija:Wikiversity inkubators|inkubators]] Wikiversity, kurām vēl nav savu vietņu." 384269 wikitext text/x-wiki Vikiversitāte Beta kalpo arī kā [[:Kategorija:Wikiversity inkubators|inkubators]] Wikiversity, kurām vēl nav savu vietņu. hh1thgq8i8w9ukxzp4d9c64rn93pd6h 384273 384269 2026-05-20T13:06:43Z Селение 55523 384273 wikitext text/x-wiki Vikiversitāte Beta kalpo arī kā [[:Kategorija:Vikiversitāte inkubators|inkubators]] Vikiversitāte, kurām vēl nav savu vietņu. 459b107owkcuul2whuvmf5ioeojns8z User talk:Селение 3 55605 384304 2026-05-21T01:25:34Z ꠢꠣꠍꠘ ꠞꠣꠎꠣ 51302 Welcome! 384304 wikitext text/x-wiki {{Welcome}}--[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]]) 01:25, 21 May 2026 (UTC) artxjqu98w2jybaglnvwy3hnjggq3zs