Wikiversity
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https://beta.wikiversity.org/wiki/Main_Page
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Template:Welcome
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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>
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*[[<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>
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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>
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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>
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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>
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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>
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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>
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<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>
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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>
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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>
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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>
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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! -->
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[[es:Plantilla:Bienvenido usuario]]
[[fr:Modèle:Bienvenue]]
[[hi:साँचा:स्वागत]]
[[it:Template:Benvenuto]]
[[ko:틀:환영]]
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[[zh:Template:Welcome]]
</noinclude>
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¡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: [[$participants|Narrative_ecologies/Participants]]. A medida que aumente la cantidad de tu material, es posible que quieras elegir un/a [[Special:MyLanguage/wikiversity:Test wiki custodians|custodio]] para ayudar a mantener las páginas del grupo.
</div>
<noinclude>
<span id="See_also"></span>
== Véase también ==
* [[Special:PrefixIndex/Template:Welcome/|Mensajes de bienvenida en mas idiomas]]
<!-- Esto es [[template:welcome|Plantilla:Bienvenid]], no es tu página de discusión -->
[[el:Πρότυπο:Καλωσόρισμα]]
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[[cs:Šablona:Vítejte]]
[[ar:قالب:ترحيب]]
[[en:Template:Welcome]]
[[es:Plantilla:Bienvenido usuario]]
[[fr:Modèle:Bienvenue]]
[[hi:साँचा:स्वागत]]
[[it:Template:Benvenuto]]
[[ko:틀:환영]]
[[pt:Predefinição:Bem-vindo]]
[[zh:Template:Welcome]]
</noinclude>
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Zahvaljujemo Vam na [[Special:MyLanguage/wikiversity:register|registraciji]] i dobro nam došli na [[Special:MyLanguage/Wikiversity|Wikiučilište]]!
*Beta-Wikiučilište je sjedište za opće [[Special:MyLanguage/wikiversity:multilingual|višejezične]] diskusije o [[Special:MyLanguage/wikiversity:policies|pravilima]] i drugim [[:category:wikiversity|pitanjima]] vezanim uz wikiučilišta. Ono je također [[:Category:wikiversity incubator|inkubator]] za nove wikiučilišne projekte na raznim [[:category:pages by language|jezicima]].
*[[Special:MyLanguage/Wikiversity:Babel|Babel]] je naš višejezični forum za opće diskusije i objave.
*Ako ste početnik na Wikiju, [[Special:MyLanguage/help:basic editing|ovdje]] je srž uputa o uređivanju.
<div class="mw-translate-fuzzy">
*Ako držite tečaj uz pomoć wikiučilišta, razmislite o stvaranju popisa sudionika nalik [[$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 -->
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[[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>
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*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.
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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>
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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>
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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>
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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>
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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>
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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>
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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
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2026-05-20T16:30:13Z
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/* Mètode per aïllar */ +
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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]]
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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]].
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*[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements.
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*If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki.
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*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.
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<noinclude>
<span id="See_also"></span>
== 関連項目 ==
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* [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]]
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<!-- This is [[template:welcome|template:welcome]], not your talk page -->
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[[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]]
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[[Special:MyLanguage/wikiversity:register|မတ်ပုံတိဉ်]]ထောင်း အတာႏ ကေႏဇူꩻတင်ႏငါႏသွူ၊ တွမ်ႏ အဝ်ႏ [[Special:MyLanguage/Wikiversity|ဝီခီတက္ကသိုလ်ႏ]]ယိုရပ်ဆွုမ်ႏဒျာႏဩ!
<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]].
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<div lang="en" dir="ltr" class="mw-content-ltr">
*[[Special:MyLanguage/Wikiversity:Babel|Babel]] is our multilingual forum for general discussions and announcements.
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<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.
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*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.
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<noinclude>
<span id="See_also"></span>
== ထွားပါသွော့ꩻယို ==
<div lang="en" dir="ltr" class="mw-content-ltr">
* [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]]
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<!-- This is [[template:welcome|template:welcome]], not your talk page -->
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[[el:Πρότυπο:Καλωσόρισμα]]
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[[ar:قالب:ترحيب]]
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[[es:Plantilla:Bienvenido usuario]]
[[fr:Modèle:Bienvenue]]
[[hi:साँचा:स्वागत]]
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[[ko:틀:환영]]
[[pt:Predefinição:Bem-vindo]]
[[zh:Template:Welcome]]
</noinclude>
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[[Special:MyLanguage/wikiversity:register|ꠞꠦꠎꠤꠡ꠆ꠐꠣꠞꠤ]] ꠇꠞꠣꠞ ꠟꠣꠉꠤ ꠗꠁꠘ꠆ꠘꠛꠣꠖ ꠀꠞ [[Special:MyLanguage/Wikiversity|ꠃꠁꠇꠤꠜꠣꠞꠍꠤꠐꠤꠔ ꠀꠃꠇ꠆ꠇꠣ]] !
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*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>
*ꠀꠙꠘꠦ ꠎꠥꠖꠤꠘ ꠃꠤꠇꠤꠔ ꠘꠄꠀ ꠅꠂꠘ ꠨ [[Special:MyLanguage/help:basic editing|ꠅꠘꠅ]] ꠄꠇꠦꠞꠦ ꠕꠥꠠꠣ ꠇꠤꠍꠥ ꠎꠤꠘꠤꠡꠣꠁꠘ ꠎꠣꠘꠣꠞ ꠟꠣꠉꠤ ⁕
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*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.
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<noinclude>
<span id="See_also"></span>
== ꠀꠞꠅ ꠖꠦꠈꠂꠘ ==
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* [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]]
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[[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>
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Thank you for [[Special:MyLanguage/wikiversity:register|register]]ing, and Welcome to [[Special:MyLanguage/Wikiversity|Wikiversity]]!
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*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]].
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*[[Special:MyLanguage/Wikiversity:Babel|babil]] bizim genel tartışmalar ve duyurular için forumumuzdur.
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*If you are new to Wiki, [[Special:MyLanguage/help:basic editing|here]] is the bare minimum for editing in wiki.
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*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.
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<noinclude>
<span id="See_also"></span>
== Ayrıca bakınız ==
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* [[Special:PrefixIndex/Template:Welcome/|Welcome message in many languages]]
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[[en:Template:Welcome]]
[[es:Plantilla:Bienvenido usuario]]
[[fr:Modèle:Bienvenue]]
[[hi:साँचा:स्वागत]]
[[it:Template:Benvenuto]]
[[ko:틀:환영]]
[[pt:Predefinição:Bem-vindo]]
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[[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।
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*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।
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<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 -->
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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.
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*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.
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<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 -->
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== Kas Vikiversitāte nav? ==
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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>
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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>
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== 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.
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'''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]].
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''See also: [[Special:MyLanguage/Help:FAQ|Frequently Asked Questions]].''
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== 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>
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== 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].
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== Separate projects ==
</div>
{{Wikiversity:Separate projects}}
{{Sisterprojects}}
{{Main page interwikis}}
[[Category:Main Page{{#translation:}}]]
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== Kas Vikiversitāte nav? ==
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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.
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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:}}]]
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== Kas Vikiversitāte nav? ==
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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."
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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.
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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."
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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.
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== Kas Vikiversitāte nav? ==
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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..."
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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]].
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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]].
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Vikiversitāte Beta kalpo arī kā [[:Kategorija:Wikiversity inkubators|inkubators]] Wikiversity, kurām vēl nav savu vietņu.
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Vikiversitāte Beta kalpo arī kā [[:Kategorija:Vikiversitāte inkubators|inkubators]] Vikiversitāte, kurām vēl nav savu vietņu.
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ꠢꠣꠍꠘ ꠞꠣꠎꠣ
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Welcome!
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{{Welcome}}--[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]]) 01:25, 21 May 2026 (UTC)
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