Âm dương

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Âm dương - 2 tánh chất cơ bản đối nghịch nhau  của mọi hệ thống cân bằng độc lập .
==Thí dụ==
:{|width=50%
|-
|  '''Dương ''' || '''Âm '''
|-
| Chánh || Tà
|-
| Chân || Giả
|-
| Thiện || Ác
|-
| Ngay || Gian
|-
| Sinh || Diệt
|-
| Thịnh || Suy
|-
| Thắng || Thua
|-
| Thành || Bại
|-
| Được || Mất
|-
| Có || Không
|-
| Tốt || Xấu
|-
| Hiền || Dữ
|-
| Giàu || Nghèo
|-
| Sang || Hèn
|-
|}

==Quy luật Âm Dương ==
===Tam Dịch âm dương===
Dịch có nghĩa là biến hóa. Tam dịch âm dương có nghĩa là 3 biến hóa âm dương bao gồm

* '''Bất dịch '''  - Không biến hóa
: Mọi thực thể đều có 2 cá tánh đối nghịch . Thí dụ như: Thiện, Ác. Ngay, Gian . 
* '''Dịch '''  - Biến hóa
: Mọi thực thể đều có biến hóa,  Thí dụ như: Ở hiền gặp hiền , ở ác gặp ác . 
*  '''Biến dịch ''' - Biến đổi của biến hóa
: Mọi thực thể đều có thay đổi từ các biến hóa. Thí dụ như:

===Tứ Vận âm dương===
Vận có nghĩa là vận hành, hoạt động. Tứ vận âm dương có nghĩa là 4 vận hành của âm dương bao gồm:
* '''Sinh ''': Sinh thành.  Thí dụ như quá trình sinh ra, lớn lên của con người.
* '''Thịnh ''':  Cực thịnh. Thí dụ như quá trình  hình thành và phát triển của con người.
* '''Suy ''':   Suy tàn.  Thí dụ như quá trình già lão và suy nhược của con người.
* ''' Diệt ''':  Diệt vong. Thí dụ như quá trình chết đi của con người.

==Biểu đồ âm dương==
Có 2 loại biểu đồ dùng để biểu thị âm dương gồm Hào vạch của Phục hy và Thái cực đồ của Chu văn vương

===Phục hy mả vạch âm dương===

[[File:Guo_Xu_album_dated_1503_(1).jpg|frameless|right]]
[[Phục hy]] dùng Hào vạch để biểu thị Âm dương như sau
* Hào dương  được biểu thị bằng một vạch liền '''__'''
* Hào âm được biểu thị bằng một vạch đứt '''_ _'''

===Chu văn vương vòng tròn âm dương===
[[File:ThaiCucDo.svg|liên_kết=https://vi.wikibooks.org/wiki/T%E1%BA%ADp_tin:ThaiCucDo.svg|frameless|upright|Thái Cực đồ|right]]
[[Chu văn vương]] dùng Vòng tròn để biểu thị âm dương như sau

Thái cực đồ được dùng để biểu thị âm dương trong một vòng tròn, gồm hai nửa đối xứng ôm trọn lấy nhau, tượng trưng cho Âm (màu đen) và Dương (màu đỏ). Trong mỗi phần đối xứng lại có một chấm tròn màu đối lập nằm trong đó. Màu sắc của Thái Cực đồ có thể thay đổi, cũng như độ xoắn vào nhau của hai hình đối xứng.Thái Cực đồ thể hiện ý nghĩa của triết học Phương Đông, cụ thể là thuyết Âm Dương rất rõ ràng:

Trong mỗi một tổng thể (hình tròn) luôn tồn tại hai mặt đối lập Âm và Dương, hai mặt đó tương hỗ với nhau, bù đắp nhau thành một thể hoàn thiện. 
* Không một tổng thể, cá thể nào có thể tách biệt hoàn toàn hai mặt đó. 
* Trong Âm có Dương, trong Dương có Âm, cũng như trong phần màu đỏ có chấm màu đen, và ngược lại. 
* Âm thăng, Dương giáng ngược chiều kim đồng hồ Âm thịnh, Dương suy và ngược lại. Khi phần màu đen lớn dần thì phần màu đỏ nhỏ dần và ngược lại. 
* Cực thịnh thì suy, thể hiện ở mỗi phần khi đạt đến độ cực đại thì xuất hiện yếu tố đối lập ngay trong lòng, và phần đó sẽ phát triển dần

==Ứng dụng Âm dương==

: {|width=100%
|-
| '''Ứng dụng ''' ||''' Âm '''|| '''Dương'''
|-
| [[Sách lịch | Lịch]] || Âm lịch || Dương lịch
|-
| [[Sách lịch/Lịch tử vi/Thiên Can | Thiên can]] || Ất, Đinh, Kỷ, Tân, Quý || Ất, Đinh, Kỷ, Tân, Quý
|-
| [[Sách lịch/Lịch tử vi/Địa Chi | Địa chi]] || Sựu, Mảo, Tị, Mùi, Dậu, Hợi ||  Tý, Dần, Thìn, Ngọ, Thân, Tuất
|-
| [[Bát quái | Bát quái]] || Đoài, Ly, Tốn, Khôn || Kiền, Chấn, Khảm, Cấn
|-
| [[Tứ tượng | Tứ tượng]]  || Trăng, Nước biển || Trời , Đất
|-
| [[Ngũ hành | Ngũ hành]] ||    Thổ , Hỏa , Mộc , Thủy , Kim   || Kim , Thủy , Mộc , Hỏa , Thổ
|-
|}</text>
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  <page>
    <title>Số hữu tỉ</title>
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      <text bytes="3858" sha1="r4red07mtgr0hrxg2z7g0wp7ycfw67l" xml:space="preserve">==Khái niệm==
'''Số hữu tỉ''' là các [[chữ số|số]] '''x''' có thể biểu diễn dưới dạng '''[[phân số]]''' &lt;math&gt;\frac {a} {b}&lt;/math&gt;, trong đó ''a'' và ''b'' là các số nguyên với ''b'' &lt;math&gt;\ne&lt;/math&gt; ''0''. Tập hợp số hữu tỉ ký hiệu là &lt;math&gt;\mathbb Q &lt;/math&gt;.

Một cách tổng quát:
:&lt;math&gt;\mathbb{Q} = \left\{x | x = \frac{m}{n}; m \in \mathbb{Z}, n \in \mathbb{Z^*}\right\}&lt;/math&gt;

Tập hợp số hữu tỉ là tập hợp đếm được.

Các số thực không phải là số hữu tỉ được gọi là các [[số vô tỉ]].

Tuy nhiên, tập hợp các số hữu tỷ không hoàn toàn đồng nhất với tập hợp các phân số p/q, vì mỗi số hữu tỷ có thể biểu diễn bằng nhiều phân số khác nhau. Chẳng hạn các phân số 1/3, 2/6, 3/9,... cùng biểu diễn một số hữu tỷ.

== Biểu diễn số hữu tỉ ==
=== Biển diễn bằng phân số ===
Số hữu tỉ có thể biểu diễn dưới dạng '''[[phân số]]''' &lt;math&gt;\frac {a} {b}&lt;/math&gt;, trong đó ''a'' và ''b'' là các số nguyên với ''b'' &lt;math&gt;\ne&lt;/math&gt; ''0''. Tập hợp số hữu tỉ ký hiệu là &lt;math&gt;\mathbb Q &lt;/math&gt;.

=== Biểu diễn trong hệ thập phân và các hệ cơ số khác ===
Khi biểu diễn số hữu tỉ theo [[hệ thập phân|hệ ghi số cơ số 10]] (dạng thập phân), số hữu tỉ có thể là số thập phân hữu hạn hoặc số thập phân vô hạn tuần hoàn và ngược lại.

Một phân số tối giản với mẫu dương và mẫu không có ước nguyên tố nào ngoài 2 và 5 thì phân số đó viết được dưới dạng số thập phân hữu hạn

VD: phân số &lt;math&gt;\frac{2}{25}&lt;/math&gt; có mẫu số là &lt;math&gt;25=5^2&lt;/math&gt; không có ước nguyên tố nào khác 5 nên có thể viết được dưới dạng số thập phân hữu hạn &lt;math&gt;\frac{2}{25} = 0,08&lt;/math&gt; 

Một phân số tối giản với mẫu dương và mẫu có ít nhất 1 ước nguyên tố khác 2 và 5 thì phân số đó viết dưới dạng số thập phân vô hạn tuần hoàn

Ví dụ 1: phân số &lt;math&gt;\frac{5}{7}&lt;/math&gt; có mẫu số là 7 nên được viết dưới dạng số thập phân vô hạn tuần hoàn

&lt;math&gt;\frac{5}{7}&lt;/math&gt;&lt;math&gt;= 0,71428571428571428571428571428571...\,&lt;/math&gt;&lt;math&gt;= 0,(714285)\,&lt;/math&gt;

Ví dụ 2: phân số &lt;math&gt;\frac{24}{17}&lt;/math&gt; có mẫu số là 17 nên được viết dưới dạng số thập phân vô hạn tuần hoàn&lt;br /&gt;&lt;math&gt;\frac{24}{17}&lt;/math&gt;&lt;math&gt;= 1,4117647058823529411764705882353...\,&lt;/math&gt;&lt;math&gt;= 1,(4117647058823529)\,&lt;/math&gt;&lt;br /&gt;

Dãy các chữ số lặp lại trong biểu diễn thập phân của các số thập phân vô hạn tuần hoàn được gọi là [[chu kỳ]], và số các chữ số trong chu kỳ này có thể chứng minh được rằng không vượt quá |b|.

Một cách tổng quát, trong một hệ cơ số bất kỳ, các chữ số sau dấu phẩy của số hữu tỉ là hữu hạn hoặc vô hạn tuần hoàn.
=== Biểu diễn bằng liên phân số: ===
Một số thực là số hữu tỉ khi và chỉ khi biểu diễn [[:wikipedia:vi:phân số liên tục|liên phân số]] của nó là hữu hạn.

==Quan hệ==
[[file:Set of real numbers (diagram).svg|thumb|right|300px|Các tập hợp số.]]
:&lt;math&gt;\mathbb N&lt;/math&gt;: Tập hợp [[số tự nhiên]]
:&lt;math&gt;\mathbb Z&lt;/math&gt;: Tập hợp [[số nguyên]]
:&lt;math&gt;\mathbb Q&lt;/math&gt;: Tập hợp số hữu tỉ
:&lt;math&gt;\mathbb R&lt;/math&gt;: Tập hợp [[số thực]]
:&lt;math&gt;\mathbb I = \R \setminus \mathbb Q&lt;/math&gt;: Tập hợp [[số vô tỉ]]
Ta có &lt;math&gt;\mathbb N \subset \mathbb Z \subset \mathbb Q \subset \mathbb R &lt;/math&gt;.
[[Category: Đại số]]
[[Category:VI]]</text>
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    <title>Đại số tuyến tính</title>
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      <text bytes="276" sha1="l1w3i5ebefbj39e879kjgkfdqywegmz" xml:space="preserve">Đại số tuyến tính là một ngành toán học nghiên cứu về không gian vectơ, hệ phương trình tuyến tính và các phép biến đổi tuyến tính giữa chúng.
*[[Không gian vector]]
*[[Hệ phương trình tuyến tính]]

[[Category:Đại số]]</text>
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    <title>Số thực</title>
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      <text bytes="1535" sha1="3fol1tu9lb04s5pffeda0scwif21gpt" xml:space="preserve">'''Số thực''' là một tập hợp các số có tính chất lý luận và thực tiễn vô cùng quan trọng. Các số thực có thể được sử dụng để đo lường các đại lượng vật lý thông thường như chiều dài, diện tích, trọng lượng, điện tích,... Các nhà toán học biểu thị tập hợp các số thực bằng chữ in hoa R. Các số thực là hệ thống số thứ tư trong danh sách phân loại sau:

&quot;[[Số tự nhiên]]&quot; – N, 0, 1, 2, 3,... (Có tranh cãi về việc có nên xét số 0 như là một số tự nhiên hay không. Điều này không thực sự quan trọng và chỉ mang tính quy ước.)

&quot;[[Số nguyên]]&quot; – Z, dương, âm và 0

&quot;[[Số hữu tỉ]]&quot; – R hoặc các phân số, như 355/113

&quot;Số thực&quot; – R, bao gồm cả số vô tỉ

&quot;[[Số phức]]&quot; – C, đưa ra lời giải cho các phương trình đa thức

Các số thực thường được biểu diễn bằng biểu diễn thập phân (hoặc bất kỳ cơ số nào khác), như 3.1416. Ta có thể chứng minh rằng mọi biểu diễn thập phân hữu hạn hoặc vô hạn tuần hoàn đều là một số hữu tỉ. Các số thực không phải là số hữu tỉ thì là số vô tỉ. 

==Ví dụ ==
: &lt;math&gt;\sqrt{10} = 3.162277660168...\,&lt;/math&gt; 
: &lt;math&gt;\pi = 3.1415926535...\,&lt;/math&gt;. 
Các biểu diễn thập phân này không hữu hạn cũng không vô hạn tuần hoàn.

[[Category:Đại số]]
[[Category:VI]]</text>
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    <title>Số La mã</title>
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==Định nghĩa==
Số La Mã dùng ký tự chữ để đại diện cho một giá trị số. Các ký tự số la mã và giá trị được liệt kê trong bảng số dưới
:{| width=&quot;100%&quot;
|-
| ''' Ký tự '''
| ''' Giá trị '''
|-
| [[I (1)|I]]
| 1 ([[1 (số)|một]])
|-
| [[V (5)|V]]
| 5 ([[5 (số)|năm]])
|-
| [[X (10)|X]]
| 10 ([[10 (số)|mười]])
|-
| [[L]]
| 50 ([[50 (số)|năm mươi]])
|-
| [[C]]
| 100 ([[100 (số)|một trăm]])
|-
| [[D]]
| 500 ([[500 (số)|năm trăm]])
|-
| [[M]]
| 1000 ([[1000 (số)|một nghìn]])
|}


Nhiều ký hiệu có thể được kết hợp lại với nhau để chỉ các số với các giá trị khác chúng. Thông thường người ta quy định các chữ số I, X, C, M, không được lặp lại quá ba lần liên tiếp; các chữ số V, L, D không được lặp lại quá một lần liên tiếp. Chính vì thế mà có 6 nhóm chữ số đặc biệt được nêu ra trong bảng sau:

:{| width=&quot;50%&quot;
|-
| ''' Ký tự '''
| ''' Giá trị '''
|-
| [[IV]]
| 4
|-
| [[IX]]
| 9
|-
| XL
| 40
|-
| XC
| 90
|-
| CD
| 400
|-
| CM
| 900
|-
|}
==Ví dụ==
:{|width=100%
|-
| 1 || I
|-
| 2 || II
|-
| 3 || III
|-
| 4 || IV
|-
| 5 || V
|-
| 6 || VI
|-
| 7 || VII
|-
| 8 || VIII
|-
| 9 || IX
|-
| 10 || X
|-
|}

[[Category: Đại số]]</text>
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    <title>User talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ</title>
    <ns>3</ns>
    <id>49278</id>
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      <id>383920</id>
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      <contributor>
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        <id>22278</id>
      </contributor>
      <comment>/* This Month in Education: April 2026 */ new section</comment>
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      <text bytes="70878" sha1="4qcx6fveph2lkxvtkhf5d76j08x86wl" xml:space="preserve">[[User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ/Sandbox|Sandbox]] | [[Wikiversity:Babel|Babel]] | [[Wikiversity:Request custodian action|Requests]] | [[Special:UnusedCategories|Unused categories]] | [[:Category:Candidates for speedy deletion|Speedy]] | [[Special:PageTranslation|Mark for translation]] | Archives: [[/2023]] [[/2024]] [[/2025]]  {{User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ/Custodian}}
----

== This Month in Education: January 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 1 • January 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/January 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/January 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/January 2025/Advancing Education Pillar in Kosovo: 2024 Journey|Advancing Education Pillar in Kosovo: 2024 Journey]]
* [[m:Special:MyLanguage/Education/News/January 2025/Auckland Museum Wikipedia Students Making Progress|Auckland Museum Wikipedia Students Making Progress]]
* [[m:Special:MyLanguage/Education/News/January 2025/Celebrating 10 Years of Wiki Education|Celebrating 10 Years of Wiki Education]]
* [[m:Special:MyLanguage/Education/News/January 2025/Empowering Multilingual Students: Expanding Wikipedia Through Collaboration of foreign languages faculty's students of the University of Tehran|Empowering Multilingual Students: Expanding Wikipedia Through Collaboration of foreign languages faculty's students of the University of Tehran]]
* [[m:Special:MyLanguage/Education/News/January 2025/Ensuring accurate and authentic information with 1Lib1Ref Campaign in Anambra|Ensuring accurate and authentic information with 1Lib1Ref Campaign in Anambra]]
* [[m:Special:MyLanguage/Education/News/January 2025/Experiences of Wikipedia in the classroom with a gender perspective in Monterrey |Experiences of Wikipedia in the classroom with a gender perspective in Monterrey]]
* [[m:Special:MyLanguage/Education/News/January 2025/Fine Arts University Students exploring Wikipedia in Tirana, Albania|Fine Arts University Students exploring Wikipedia in Tirana, Albania]]
* [[m:Special:MyLanguage/Education/News/January 2025/Lviv hosted Ukraine’s first student photo walk for Wikipedia|Lviv hosted Ukraine’s first student photo walk for Wikipedia]]
* [[m:Special:MyLanguage/Education/News/January 2025/Many new trained volunteers and new articles at the end of the year in Macedonia|Many new trained volunteers and new articles at the end of the year in Macedonia]]
* [[m:Special:MyLanguage/Education/News/January 2025/Wikimedia and Scientific Events in Brazil|Wikimedia and Scientific Events in Brazil]]
* [[m:Special:MyLanguage/Education/News/January 2025/Wiki Workshop- Call for Contributions|Wiki Workshop- Call for Contributions]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 15:56, 5 February 2025 (UTC)&lt;/div&gt;
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== This Month in Education: February 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 2 • February 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/February 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/February 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/February 2025/Activities series at the Shefit Hekali school in Peqin, Albania|Activities series at the Shefit Hekali school in Peqin, Albania]]
* [[m:Special:MyLanguage/Education/News/February 2025/Wikimedia Brazil has formed a partnership with a public policy research institute|Wikimedia Brazil has formed a partnership with a public policy research institute]]
* [[m:Special:MyLanguage/Education/News/February 2025/Preserving Heritage: Tuluvas Aati Month Educational Wikimedia Programs|Preserving Heritage: Tuluvas Aati Month Educational Wikimedia Programs]]
* [[m:Special:MyLanguage/Education/News/February 2025/Reflecting on our Past: Farewell to the Auckland Museum Summer Students|Reflecting on our Past: Farewell to the Auckland Museum Summer Students]]
* [[m:Special:MyLanguage/Education/News/February 2025/Successful Conclusion of the Second Phase of &quot;Reading Wikipedia in the Classroom&quot; in Yemen|Successful Conclusion of the Second Phase of &quot;Reading Wikipedia in the Classroom&quot; in Yemen]]
* [[m:Special:MyLanguage/Education/News/February 2025/Wiki Workshop in Mitrovica |Wiki Workshop in Mitrovica]]
* [[m:Special:MyLanguage/Education/News/February 2025/Wikimedia MKD' Education: Lots of new trained users, lots of new articles|Wikimedia MKD' Education: Lots of new trained users, lots of new articles]]
* [[m:Special:MyLanguage/Education/News/February 2025/Wikimedia Serbia receives accreditation from the National Library of Serbia for the Wiki Senior seminar|Wikimedia Serbia receives accreditation from the National Library of Serbia for the Wiki Senior seminar]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 09:04, 12 March 2025 (UTC)&lt;/div&gt;
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== Kurdish portal deletion ==

The page is empty because there is no content it transcludes or links to. The Kurdish test project has no content at all. Why would it need a portal? And the red links are templates which don't exist either. The whole page has no value. [[User:AtUkr|AtUkr]] ([[User talk:AtUkr|talk]]) 19:12, 2 April 2025 (UTC)

:Thanks for your input regarding [[Portal:Zanistên siruştî]]. I'll ping {{ping|User:Pispor}} and {{ping|Bikarhêner}} to get their thoughts. If the Kurdish community decides to abandon it, I can assist with deletion. -- [[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]])  20:52, 2 April 2025 (UTC)

== This Month in Education: March 2025 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 3 • March 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/March 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/March 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/March 2025/A Whole New World: Research Findings on New Editor Integration in Serbian Wikipedia|A Whole New World: Research Findings on New Editor Integration in Serbian Wikipedia]]
* [[m:Special:MyLanguage/Education/News/March 2025/Bolivia: a new round of Leamos Wikipedia begins in Bolivia|Bolivia: a new round of Leamos Wikipedia begins in Bolivia]]
* [[m:Special:MyLanguage/Education/News/March 2025/Faculty of Social Sciences Workshop in Albania|Faculty of Social Sciences Workshop in Albania]]
* [[m:Special:MyLanguage/Education/News/March 2025/Lots of contributions and trainings as part of Wikimedia MKD's Education Programme|Lots of contributions and trainings as part of Wikimedia MKD's Education Programme]]
* [[m:Special:MyLanguage/Education/News/March 2025/Wikimedia organized multiple events of science and education in Brazil during the month of March|Wikimedia organized multiple events of science and education in Brazil during the month of March]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 15:04, 10 April 2025 (UTC)&lt;/div&gt;
&lt;/div&gt;
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== This Month in Education: April 2025 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 4 • April 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/April 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/April 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/April 2025/Ceremony of giving certificates and awarding the winners of the edit-a-thon: Meet Slovenia|Ceremony of giving certificates and awarding the winners of the edit-a-thon: Meet Slovenia]]
* [[m:Special:MyLanguage/Education/News/April 2025/The Workshops Wikimedia &amp; Education are back in Brazil|The Workshops Wikimedia &amp; Education are back in Brazil]]
* [[m:Special:MyLanguage/Education/News/April 2025/EduWiki Nigeria: Advancing Digital Literacy in Schools|EduWiki Nigeria: Advancing Digital Literacy in Schools]]
* [[m:Special:MyLanguage/Education/News/April 2025/Empowering the Next Generation: Wikidata Training at Federal Government Boys College, FGBC Abuja|Empowering the Next Generation: Wikidata Training at Federal Government Boys College, FGBC Abuja]]
* [[m:Special:MyLanguage/Education/News/April 2025/Final Wikipedia project with Shefit Hekali school in Peqin, Albania|Final Wikipedia project with Shefit Hekali school in Peqin, Albania]]
* [[m:Special:MyLanguage/Education/News/April 2025/Teachers who graduated from the Leamos Wikipedia program in Bolivia become mentors for their colleagues |Teachers who graduated from the Leamos Wikipedia program in Bolivia become mentors for their colleagues]]
* [[m:Special:MyLanguage/Education/News/April 2025/Wikivoyage in Has region, Northern Albania|Wikivoyage in Has region, Northern Albania]]
* [[m:Special:MyLanguage/Education/News/April 2025/Wikivoyage workshop in Bulqiza|Wikivoyage workshop in Bulqiza]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 02:49, 10 May 2025 (UTC)&lt;/div&gt;
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== This Month in Education: May 2025 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 5 • May 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/May 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/May 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/May 2025/Journalism students at Aleksandër Xhuvani University explore Wikipedia in Albania|Journalism students at Aleksandër Xhuvani University explore Wikipedia in Albania]]
* [[m:Special:MyLanguage/Education/News/May 2025/Reviewing pending articles editathon with high school students in Albania|Reviewing pending articles editathon with high school students in Albania]]
* [[m:Special:MyLanguage/Education/News/May 2025/Several educational workshops to promote science on Wiki were held in Brazil in the month of May|Several educational workshops to promote science on Wiki were held in Brazil in the month of May]]
* [[m:Special:MyLanguage/Education/News/May 2025/Simón Bolívar Teacher Training College joins the Let's Read Wikipedia Program|Simón Bolívar Teacher Training College joins the Let's Read Wikipedia Program]]
* [[m:Special:MyLanguage/Education/News/May 2025/Students become Editors: Wikimedia Chile launches Latin America's first Vikidia Workshop|Students become Editors: Wikimedia Chile launches Latin America's first Vikidia Workshop]]
* [[m:Special:MyLanguage/Education/News/May 2025/The DemocraTICon competition was held, this year for the first time with a discipline focused on Wikipedia |The DemocraTICon competition was held, this year for the first time with a discipline focused on Wikipedia]]
* [[m:Special:MyLanguage/Education/News/May 2025/Wikimedia MKD's &quot;Lajka&quot; workshop in Skopje|Wikimedia MKD's &quot;Lajka&quot; workshop in Skopje]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 02:58, 28 May 2025 (UTC)&lt;/div&gt;
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== Update to [[Template:Main page]] ==

Hi! Can you please update this template as Serbian and Croatian main pages are now translated and unified under Serbo-Croatian, in line with the current LangCom policy. Basically, the following line should be added:
&lt;pre&gt;
&lt;!-- sh --&gt;[[Glavna stranica|{{#language:sh}}]] |
&lt;/pre&gt;
with sr and hr links being removed. Thank you in advance, [[User:Aca|Aca]] ([[User talk:Aca|talk]]) 20:47, 8 June 2025 (UTC)

:Thanks! Can you also remove the following links, which are now unused/unnecessary?
:First link:
:&lt;pre&gt;&lt;!-- hr --&gt;[[Glavna stranica|{{#language:hr}}]] |&lt;/pre&gt;
:Second link:
:&lt;pre&gt;&lt;!-- sr --&gt;[[Главна страна|{{#language:sr}}]] |&lt;/pre&gt;
:Thanks for your quick responses and continued maintenance of Wikiversity Beta! – [[User:Aca|Aca]] ([[User talk:Aca|talk]]) 22:48, 9 June 2025 (UTC)
::Hi! I’ve added sh as requested. However, to remove hr and sr, we need more information, such as a link to the relevant Language Committee discussion or community consensus. Also, please consider posting a request at [[Wikiversity:Request custodian action]] so that it can be reviewed and handled appropriately. Thanks! --[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]])  20:45, 10 June 2025 (UTC)
:::Done! Thanks. – [[User:Aca|Aca]] ([[User talk:Aca|talk]]) 23:56, 20 June 2025 (UTC)

== Notice of expiration of your sysop right ==

&lt;div dir=&quot;ltr&quot;&gt;Hi, as part of [[:m:Special:MyLanguage/Global reminder bot|Global reminder bot]], this is an automated reminder to let you know that your permission &quot;sysop&quot; (Custodians) will expire on 2025-06-28 12:10:42. Please renew this right if you would like to continue using it. &lt;i&gt;In other languages: [[:m:Special:MyLanguage/Global reminder bot/Messages/default|click here]]&lt;/i&gt; [[User:Leaderbot|Leaderbot]] ([[User talk:Leaderbot|talk]]) 19:42, 21 June 2025 (UTC)&lt;/div&gt;

== This Month in Education: June 2025 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 6 • June 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/June 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/June 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/June 2025/Albanian high school students at the Wikimedia Youth Conference 2025 in Prague|Albanian high school students at the Wikimedia Youth Conference 2025 in Prague]]
* [[m:Special:MyLanguage/Education/News/June 2025/Bolivia has 20 new teachers graduated from the Let's Read Wikipedia in the Classroom program|Bolivia has 20 new teachers graduated from the Let's Read Wikipedia in the Classroom program]]
* [[m:Special:MyLanguage/Education/News/June 2025/Brazil was present at the EduWiki Conference 2025 in Bogota|Brazil was present at the EduWiki Conference 2025 in Bogota]]
* [[m:Special:MyLanguage/Education/News/June 2025/Does Wikipedia has future in the times of Chat-GPT|Does Wikipedia has future in the times of Chat-GPT]]
* [[m:Special:MyLanguage/Education/News/June 2025/PhilWiki Community promotes accessible multilingual stories for children|PhilWiki Community promotes accessible multilingual stories for children]]
* [[m:Special:MyLanguage/Education/News/June 2025/Reading and Editing Wikipedia in a Bangladeshi College|Reading and Editing Wikipedia in a Bangladeshi College]]
* [[m:Special:MyLanguage/Education/News/June 2025/Wikimedia MKD's Workshops in June|Wikimedia MKD's Workshops in June]]
* [[m:Special:MyLanguage/Education/News/June 2025/Wikipedia meets 2500 Ukrainian educators at the country’s biggest education festival|Wikipedia meets 2500 Ukrainian educators at the country’s biggest education festival]]

&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 07:19, 27 June 2025 (UTC)&lt;/div&gt;
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== This Month in Education: July 2025 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 7 • July 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/July 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/July 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/July 2025/Crafting Impactful Education Newsletters: Shared Insights from EduWiki 2025|Crafting Impactful Education Newsletters: Shared Insights from EduWiki 2025]]
* [[m:Special:MyLanguage/Education/News/July 2025/Educational Outreach with Youth Centers in Albania|Educational Outreach with Youth Centers in Albania]]
* [[m:Special:MyLanguage/Education/News/July 2025/Discussing educational resources at WikiCon Brasil 2025|Discussing educational resources at WikiCon Brasil 2025]]
* [[m:Special:MyLanguage/Education/News/July 2025/Enhancing Mobile-Friendly Contribution in Wikimedia Education Programs|Enhancing Mobile-Friendly Contribution in Wikimedia Education Programs]]
* [[m:Special:MyLanguage/Education/News/July 2025/The second semester of Leamos Wikipedia begins in Bolivia with challenges and learning|The second semester of Leamos Wikipedia begins in Bolivia with challenges and learning]]
* [[m:Special:MyLanguage/Education/News/July 2025/When Travel Fails, Learning Continues: A Reflection from EduWiki 2025 |When Travel Fails, Learning Continues: A Reflection from EduWiki 2025]]
* [[m:Special:MyLanguage/Education/News/July 2025/Wiki club in Kumanovo - the newest Wiki club of Wikimedia MKD|Wiki club in Kumanovo - the newest Wiki club of Wikimedia MKD]]
* [[m:Special:MyLanguage/Education/News/July 2025/Jaroslav Mašek: How KISK FF MU students used AI to write Wikipedia|Jaroslav Mašek: How KISK FF MU students used AI to write Wikipedia]]
* [[m:Special:MyLanguage/Education/News/July 2025/Various programmes up and rolling with Charles University Prague|Various programmes up and rolling with Charles University Prague]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 03:01, 1 August 2025 (UTC)&lt;/div&gt;
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== This Month in Education: August 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 8 • August 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/August 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/August 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/August 2025/Bootcamp Wikipedia in Classroom|Bootcamp Wikipedia in Classroom]]
* [[m:Special:MyLanguage/Education/News/August 2025/Brazil launches campaign about Open Science on Wiki|Brazil launches campaign about Open Science on Wiki]]
* [[m:Special:MyLanguage/Education/News/August 2025/Breaking Barriers: Yoruba Wikipedia Fan Club Offa's Historic Wins|Breaking Barriers: Yoruba Wikipedia Fan Club Offa's Historic Wins]]
* [[m:Special:MyLanguage/Education/News/August 2025/Emerging Voices in Free Knowledge: The Journey of Wiki Club SATI|Emerging Voices in Free Knowledge: The Journey of Wiki Club SATI]]
* [[m:Special:MyLanguage/Education/News/August 2025/From a Curious Student to a Wikimedia Leader|From a Curious Student to a Wikimedia Leader]]
* [[m:Special:MyLanguage/Education/News/August 2025/From webinars to conferences: Wikimedia Ukraine’s approach to events for educators|From webinars to conferences: Wikimedia Ukraine’s approach to events for educators]]
* [[m:Special:MyLanguage/Education/News/August 2025/Higher education with Wikipedia in Spain|Higher education with Wikipedia in Spain]]
* [[m:Special:MyLanguage/Education/News/August 2025/Scientific Contribution from Serbia: Wikipedia in Education Research Published in a Prestigious Journal|Scientific Contribution from Serbia: Wikipedia in Education Research Published in a Prestigious Journal]]
* [[m:Special:MyLanguage/Education/News/August 2025/Teachers with Wikipedia. What if we create a Spanish-speaking collaboration network|Teachers with Wikipedia. What if we create a Spanish-speaking collaboration network]]
* [[m:Special:MyLanguage/Education/News/August 2025/The brains behind Wikipedia|The brains behind Wikipedia]]
* [[m:Special:MyLanguage/Education/News/August 2025/Why EduWiki Should Be Considered by Policymakers|Why EduWiki Should Be Considered by Policymakers]]
* [[m:Special:MyLanguage/Education/News/August 2025/Wikimedia Chile in Visviri: Free knowledge and education at Chile’s starting point|Wikimedia Chile in Visviri: Free knowledge and education at Chile’s starting point]]
* [[m:Special:MyLanguage/Education/News/August 2025/Wikipedia as a tool presented at Media Education Summer School for Teachers|Wikipedia as a tool presented at Media Education Summer School for Teachers]]
* [[m:Special:MyLanguage/Education/News/August 2025/Wikipedia vs AI at La Trobe University|Wikipedia vs AI at La Trobe University]]
* [[m:Special:MyLanguage/Education/News/August 2025/St Aloysius University – Wikipedia training session for newcomers|St Aloysius University – Wikipedia training session for newcomers]]
* [[m:Special:MyLanguage/Education/News/August 2025/Wiki Loves Academics, WUGN Kaduna|Wiki Loves Academics, WUGN Kaduna]]
* [[m:Special:MyLanguage/Education/News/August 2025/In Just 3 Minutes: The Power of Wiki Education|In Just 3 Minutes: The Power of Wiki Education]]
* [[m:Special:MyLanguage/Education/News/August 2025/Sensing Cebu: Fieldnotes of an Academic as a Wiki Volunteer|Sensing Cebu: Fieldnotes of an Academic as a Wiki Volunteer]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 15:16, 2 September 2025 (UTC)&lt;/div&gt;
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== This Month in Education: September 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 9 • September 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/September 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/September 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/September 2025/Brazil organizes seminar to discuss open science and scientific dissemination|Brazil organizes seminar to discuss open science and scientific dissemination]]
* [[m:Special:MyLanguage/Education/News/September 2025/CBSUA Recognizes Wiki Training Completers, Awards Feminism &amp; Folklore 2025 Winners|CBSUA Recognizes Wiki Training Completers, Awards Feminism &amp; Folklore 2025 Winners]]
* [[m:Special:MyLanguage/Education/News/September 2025/2nd International Conference on Wikimedia, Education, and Digital Cultures Mexico 2025|2nd International Conference on Wikimedia, Education, and Digital Cultures Mexico 2025]]
* [[m:Special:MyLanguage/Education/News/September 2025/Accredited seminar for teachers in Veliko Gradište|Accredited seminar for teachers in Veliko Gradište]]
* [[m:Special:MyLanguage/Education/News/September 2025/Breaking Barriers, Why open Knowledge matters|Breaking Barriers, Why open Knowledge matters]]
* [[m:Special:MyLanguage/Education/News/September 2025/Cross-Continental Knowledge Exchange: Offa Youth Impact Initiative and St Aloysius University in 3D Education Outreach |Cross-Continental Knowledge Exchange: Offa Youth Impact Initiative and St Aloysius University in 3D Education Outreach]]
* [[m:Special:MyLanguage/Education/News/September 2025/Igbo Language Audio Project in the Igbo Wiki Fan Club IMSU &amp; Alvan|Igbo Language Audio Project in the Igbo Wiki Fan Club IMSU &amp; Alvan]]
* [[m:Special:MyLanguage/Education/News/September 2025/Let's Read Wikipedia reached teachers of the Weenhayek indigenous nation in Bolivia|Let's Read Wikipedia reached teachers of the Weenhayek indigenous nation in Bolivia]]
* [[m:Special:MyLanguage/Education/News/September 2025/Monográfico sobre Wikipedia en el aula, Revista Docere|Monograph on Wikipedia in the classroom, Docere Magazine]]
* [[m:Special:MyLanguage/Education/News/September 2025/The Third Training Course of the “Reading Wikipedia in the Classroom” Program in Jordan|The Third Training Course of the “Reading Wikipedia in the Classroom” Program in Jordan]]
* [[m:Special:MyLanguage/Education/News/September 2025/The Ukrainian Educators’ Wikimedia Conference 2025|The Ukrainian Educators’ Wikimedia Conference 2025]]
* [[m:Special:MyLanguage/Education/News/September 2025/Wikimedia MKD's edit-a-thon: Lakes|Wikimedia MKD's edit-a-thon: Lakes]]
* [[m:Special:MyLanguage/Education/News/September 2025/Cultura libre en las aulas|Free culture in the classroom]]
* [[m:Special:MyLanguage/Education/News/September 2025/Wikimedia Rwanda Wiki clubs|Wikimedia Rwanda Wiki clubs]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 15:10, 2 October 2025 (UTC)&lt;/div&gt;
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== This Month in Education: October 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 10 • October 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/October 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/October 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/October 2025/&quot;WikiDonne Internship: Wikimedia Platforms for Open Education and Inclusive Culture!&quot; winner at the Open Education Awards 2025|&quot;WikiDonne Internship: Wikimedia Platforms for Open Education and Inclusive Culture!&quot; winner at the Open Education Awards 2025]]
* [[m:Special:MyLanguage/Education/News/October 2025/A Proud Chapter in My Wikimedia Journey 🇳🇬: From Editor to Organizer|A Proud Chapter in My Wikimedia Journey 🇳🇬: From Editor to Organizer]]
* [[m:Special:MyLanguage/Education/News/October 2025/Debating open science and scientific dissemination in Brazil|Debating open science and scientific dissemination in Brazil]]
* [[m:Special:MyLanguage/Education/News/October 2025/Enhancing Academic Articles on Wikipedia with the State University of Jakarta|Enhancing Academic Articles on Wikipedia with the State University of Jakarta]]
* [[m:Special:MyLanguage/Education/News/October 2025/India’s Students and Educators Lead the Way in the Wiki Science Competition 2025|India’s Students and Educators Lead the Way in the Wiki Science Competition 2025]]
* [[m:Special:MyLanguage/Education/News/October 2025/JDACA &amp; Amman Arab University|JDACA &amp; Amman Arab University]]
* [[m:Special:MyLanguage/Education/News/October 2025/New starting page for Wikipedia users had been launched in September|New starting page for Wikipedia users had been launched in September]]
* [[m:Special:MyLanguage/Education/News/October 2025/Teaching Evidence Synthesis Automation with the Wikipedia–Kaggle Dataset|Teaching Evidence Synthesis Automation with the Wikipedia–Kaggle Dataset]]
* [[m:Special:MyLanguage/Education/News/October 2025/Wikimedia MKD’s Education Program activities for October|Wikimedia MKD’s Education Program activities for October]]
* [[m:Special:MyLanguage/Education/News/October 2025/Wikimedia Serbia prepares eight annual Edu Wiki camp|Wikimedia Serbia prepares eight annual Edu Wiki camp]]
* [[m:Special:MyLanguage/Education/News/October 2025/Wikivoyage editathon in Peshkopia, Albania|Wikivoyage editathon in Peshkopia, Albania]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 06:05, 2 November 2025 (UTC)&lt;/div&gt;
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== This Month in Education: November 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 11 • November 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/November 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/November 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/November 2025/Auckland Museum's Wiki Summer Student Programme is back for 2025 &amp; 2026|Auckland Museum's Wiki Summer Student Programme is back for 2025 &amp; 2026]]
* [[m:Special:MyLanguage/Education/News/November 2025/Edu Wiki camp 2025 in Belgrade, Serbia|Edu Wiki camp 2025 in Belgrade, Serbia]]
* [[m:Special:MyLanguage/Education/News/November 2025/Wikidata na Escola: estudantes da zona rural de Minas Gerais contribuem com dados sobre mulheres negras brasileiras|Wikidata na Escola: estudantes da zona rural de Minas Gerais contribuem com dados sobre mulheres negras brasileiras]]
* [[m:Special:MyLanguage/Education/News/November 2025/190 students from Oteitza Lizeoa create 48 articles on the history of the Basque Country for Txikipedia in one day|190 students from Oteitza Lizeoa create 48 articles on the history of the Basque Country for Txikipedia in one day]]
* [[m:Special:MyLanguage/Education/News/November 2025/2nd International Congress Wikimedia, Education, and Digital Cultures – WECUDI|2nd International Congress Wikimedia, Education, and Digital Cultures – WECUDI]]
* [[m:Special:MyLanguage/Education/News/November 2025/Africa and Proud Leads Wiki Classroom Project Across Three Nigerian States|Africa and Proud Leads Wiki Classroom Project Across Three Nigerian States]]
* [[m:Special:MyLanguage/Education/News/November 2025/November 2025November 2025/Annual Czech Wiki Conference took place on Saturday, Nov 8th|November 2025November 2025/Annual Czech Wiki Conference took place on Saturday, Nov 8th]]
* [[m:Special:MyLanguage/Education/News/November 2025/EduWiki Meetup at GLAM Wiki Conference 2025|EduWiki Meetup at GLAM Wiki Conference 2025]]
* [[m:Special:MyLanguage/Education/News/November 2025/Highly productive autumn education activities in Macedonia|Highly productive autumn education activities in Macedonia]]
* [[m:Special:MyLanguage/Education/News/November 2025/Kannada Wikipedia Asian Month 2025: Edit-a-thon &amp; Workshop Highlights from Loyola College, Karnataka|Kannada Wikipedia Asian Month 2025: Edit-a-thon &amp; Workshop Highlights from Loyola College, Karnataka]]
* [[m:Special:MyLanguage/Education/News/November 2025/Kosovo Wikivoyage Editathons in Gjakova and Krusha e Madhe|Kosovo Wikivoyage Editathons in Gjakova and Krusha e Madhe]]
* [[m:Special:MyLanguage/Education/News/November 2025/Ukrainian educators create open lesson plans based on the «Reading Wikipedia in the Classroom» course|Ukrainian educators create open lesson plans based on the «Reading Wikipedia in the Classroom» course]]
* [[m:Special:MyLanguage/Education/News/November 2025/United Architects of the Philippines Student Auxiliary – University of Nueva Caceres joins Wikisource Training|United Architects of the Philippines Student Auxiliary – University of Nueva Caceres joins Wikisource Training]]
* [[m:Special:MyLanguage/Education/News/November 2025/Videos on Teaching Experiences with Wikipedia, Wikidata, Commons, and OSM|Videos on Teaching Experiences with Wikipedia, Wikidata, Commons, and OSM]]
* [[m:Special:MyLanguage/Education/News/November 2025/Wiki as a tool for technological empowerment of indigenous knowledge|Wiki as a tool for technological empowerment of indigenous knowledge]]
* [[m:Special:MyLanguage/Education/News/November 2025/Wiki Science Competition in Albania and Kosovo|Wiki Science Competition in Albania and Kosovo]]
* [[m:Special:MyLanguage/Education/News/November 2025/Wiki Workshop 2026 Call for Contributions|Wiki Workshop 2026 Call for Contributions]]
* [[m:Special:MyLanguage/Education/News/November 2025/Wikipedia Contribution with Faculty of Mathematical and Natural Sciences Students in Kosovo|Wikipedia Contribution with Faculty of Mathematical and Natural Sciences Students in Kosovo]]
* [[m:Special:MyLanguage/Education/News/November 2025/Impact of Wikimedia Rwanda Wiki Clubs in Growth of Wikimedia User Group Rwanda Community|Impact of Wikimedia Rwanda Wiki Clubs in Growth of Wikimedia User Group Rwanda Community]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 13:47, 30 November 2025 (UTC)&lt;/div&gt;
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== This Month in Education: December 2025 ==

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&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 14 • Issue 12 • December 2025&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/December 2025|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/December 2025/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/December 2025/WikiLatih Wiktionary with the Goethe-Institut: Strengthening the Digital Presence of Indonesia’s Local Languages|WikiLatih Wiktionary with the Goethe-Institut: Strengthening the Digital Presence of Indonesia’s Local Languages]]
* [[m:Special:MyLanguage/Education/News/December 2025/Wiki in schools - Architecture and Open Heritage|Wiki in schools - Architecture and Open Heritage]]
* [[m:Special:MyLanguage/Education/News/December 2025/What are the challenges and opportunities in scientific dissemination? Reflecting on the topic in the Brazilian context|What are the challenges and opportunities in scientific dissemination? Reflecting on the topic in the Brazilian context]]
* [[m:Special:MyLanguage/Education/News/December 2025/WikipediaxAI: Wikipedia, AI, and the future of knowledge|WikipediaxAI: Wikipedia, AI, and the future of knowledge]]
* [[m:Special:MyLanguage/Education/News/December 2025/Wikipedia at University Another year of working alongside higher education institutions in Argentina|Wikipedia at University Another year of working alongside higher education institutions in Argentina]]
* [[m:Special:MyLanguage/Education/News/December 2025/WAM - Tulu Edit-a-thon &amp; Workshop in St Aloysius University |WAM - Tulu Edit-a-thon &amp; Workshop in St Aloysius University]]
* [[m:Special:MyLanguage/Education/News/December 2025/Visibilizando memórias negras: estudantes da UFRGS ampliam a Wikipédia com foco na imprensa e no associativismo pós-abolição|Visibilizando memórias negras: estudantes da UFRGS ampliam a Wikipédia com foco na imprensa e no associativismo pós-abolição]]
* [[m:Special:MyLanguage/Education/News/December 2025/Transforming Education Through Wikimedia in Kosovo: 2025|Transforming Education Through Wikimedia in Kosovo: 2025]]
* [[m:Special:MyLanguage/Education/News/December 2025/New WikiClubs and educational partnership in Albania|New WikiClubs and educational partnership in Albania]]
* [[m:Special:MyLanguage/Education/News/December 2025/New WikiClub with the Dibra Youth Center in Albania|New WikiClub with the Dibra Youth Center in Albania]]
* [[m:Special:MyLanguage/Education/News/December 2025/Landmark Educational Initiatives and Wikimedia Programs Transform Learning in 2025|Landmark Educational Initiatives and Wikimedia Programs Transform Learning in 2025]]
* [[m:Special:MyLanguage/Education/News/December 2025/Knowledge in the Digital Age: A WMUK Collaborative Workshop|Knowledge in the Digital Age: A WMUK Collaborative Workshop]]
&lt;/div&gt;

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== [[International Year of Astronomy]] ==

Hello. This page is 17 years old, its only purpose is historical at this point. I'm of the mind that it shouldn't have translations, because nobody needs them anymore. [[User:AtUkr|AtUkr]] ([[User talk:AtUkr|talk]]) 19:04, 12 January 2026 (UTC)

:While the page is historical, it still has value as 2009 UN theme year. According to Wikidata ([[d:Q204534]]), International Year of Astronomy exists in 38 Wikipedia language editions and 6 Wikiversity language editions. For languages that do not have their own Wikiversity, the multilingual Wikiversity serves as the appropriate place to host such content. --[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]])  22:03, 12 January 2026 (UTC)
:: I'm not arguing it has no value, it's just not relevant for current works. It's a coordination page, not an educational resource. Wikipedia has encyclopedic articles. Separate Wikiversities took part in IYA and so have their own coordination pages. But no more coordination pages are needed because, obviously, nobody else will ever be participating in an event that happened in 2009. [[User:AtUkr|AtUkr]] ([[User talk:AtUkr|talk]]) 09:09, 13 January 2026 (UTC)
:::Alternatively, if needed, the content could be recreated as separate “page name in language” pages and categorized by language. If you wish to delete the page, you may leave a message on the talk page; if there are no objections from contributors, it may be deleted following the standard process.--[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]])  09:54, 13 January 2026 (UTC)
:::: I don't want to delete it, I'm saying it shouldn't be marked for translation. [[User:AtUkr|AtUkr]] ([[User talk:AtUkr|talk]]) 10:00, 13 January 2026 (UTC)
:::::On multilingual Wikimedia projects, translation marking is generally about accessibility rather than timeliness. As long as the page is retained and contains stable, historical content, allowing translations helps ensure access for language communities without a local Wikiversity.--[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]])  11:50, 13 January 2026 (UTC)
:::::: There is '''no need for such access''', as the page is dated. [[User:AtUkr|AtUkr]] ([[User talk:AtUkr|talk]]) 16:32, 13 January 2026 (UTC)
:::::::Could you point to the relevant Wikimedia policy or guideline supporting this view? --[[File:ꠢꠣꠍꠘ ꠞꠣꠎꠣ.png|75px|link=User:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|]]([[User_talk:ꠢꠣꠍꠘ ꠞꠣꠎꠣ|talk]])  17:18, 13 January 2026 (UTC)

== This Month in Education: January 2026 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 15 • Issue 1 • January 2026&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/January 2026|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/January 2026/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/January 2026/Strengthening Wikimedia Education and Digital Literacy in 2026|Strengthening Wikimedia Education and Digital Literacy in 2026]]
* [[m:Special:MyLanguage/Education/News/January 2026/Dzongkha Wikipedia Education Program in Bhutan|Dzongkha Wikipedia Education Program in Bhutan]]
* [[m:Special:MyLanguage/Education/News/January 2026/Wikipedia Education Program - Train The Trainer in Nepal|Wikipedia Education Program – Train The Trainer in Nepal]]
* [[m:Special:MyLanguage/Education/News/January 2026/Wikipedia 25 celebration in the Igbo Wiki Fan Club Alvan and IMSU|Wikipedia 25 celebration in the Igbo Wiki Fan Club Alvan and IMSU]]
* [[m:Special:MyLanguage/Education/News/January 2026/CBSUA boosts Open Knowledge and Local Culture through expanded Wiki Education Program|CBSUA boosts Open Knowledge and Local Culture through expanded Wiki Education Program]]
* [[m:Special:MyLanguage/Education/News/January 2026/WikiChallenge African Schools: Young voices, real impact, and continued (reasonable) growth|WikiChallenge African Schools: Young voices, real impact, and continued (reasonable) growth]]
* [[m:Special:MyLanguage/Education/News/January 2026/Updates on Auckland Museum Summer Student Programme|Updates on Auckland Museum Summer Student Programme]]
* [[m:Special:MyLanguage/Education/News/January 2026/Stronger and bolder Wikiforhumanrights 2025 in Anambra Network|Stronger and bolder Wikiforhumanrights 2025 in Anambra Network]]
* [[m:Special:MyLanguage/Education/News/January 2026/Official Opening of IFAK Secondary School Wiki Club: Engaging Youth in Learning Through Open Knowledge|Official Opening of IFAK Secondary School Wiki Club: Engaging Youth in Learning Through Open Knowledge]]
* [[m:Special:MyLanguage/Education/News/January 2026/Greetings from the Jeronim de Rada WikiClub in Elbasan, Albania, for Christmas 2025|Greetings from the Jeronim de Rada WikiClub in Elbasan, Albania, for Christmas 2025]]
* [[m:Special:MyLanguage/Education/News/January 2026/Great and productive final activities of 2025 Wikimedia MKD education programme|Great and productive final activities of 2025 Wikimedia MKD education programme]]
* [[m:Special:MyLanguage/Education/News/January 2026/Envisioning an Open Future together - WikiForAll|Envisioning an Open Future together – WikiForAll]]
* [[m:Special:MyLanguage/Education/News/January 2026/A look back: reviewing the main education activities in Brazil in 2025|A look back: reviewing the main education activities in Brazil in 2025]]
* [[m:Special:MyLanguage/Education/News/January 2026/A 147-Year-Old Institution Celebrates 25 Years of Wikipedia: St Aloysius University and the Spirit of Open Knowledge|A 147-Year-Old Institution Celebrates 25 Years of Wikipedia: St Aloysius University and the Spirit of Open Knowledge]]
* [[m:Special:MyLanguage/Education/News/January 2026/¡Celebrando 25 años de conocimiento libre! El Proyecto &quot;25x25&quot; llega a las aulas de Córdoba, Argentina|Celebrating 25 years of free knowledge! The '25x25' Project reaches the classrooms of Córdoba, Argentina]]
* [[m:Special:MyLanguage/Education/News/January 2026/A atuação em rede da Universidade Federal de Juiz de Fora para a difusão do conhecimento livre na Wikipédia|The collaborative efforts of the Federal University of Juiz de Fora for the dissemination of free knowledge on Wikipedia]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 18:26, 28 January 2026 (UTC)&lt;/div&gt;
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== This Month in Education: February 2026 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 15 • Issue 2 • February 2026&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/February 2026|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/February 2026/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/February 2026/Cairo University Spanish Language Volunteers document Madrid’s Historic and Contemporary Palaces|Cairo University Spanish Language Volunteers document Madrid’s Historic and Contemporary Palaces]]
* [[m:Special:MyLanguage/Education/News/February 2026/Celebrating 25 Years of Wikipedia in Uzbekistan|Celebrating 25 Years of Wikipedia in Uzbekistan]]
* [[m:Special:MyLanguage/Education/News/February 2026/Encontro da Rede Latino Americana de Inteligência Artificial Feminista: construindo futuros possíveis|Meeting of the Latin American Network of Feminist Artificial Intelligence: building possible futures]]
* [[m:Special:MyLanguage/Education/News/February 2026/Farewelling the Auckland Museum Summer Students|Farewelling the Auckland Museum Summer Students]]
* [[m:Special:MyLanguage/Education/News/February 2026/Inclusive Climate Learning with Wikimedia Reaches Special School in Kumasi|Inclusive Climate Learning with Wikimedia Reaches Special School in Kumasi]]
* [[m:Special:MyLanguage/Education/News/February 2026/Introducing Wikimedia in Academic curriculum for students of higher education in universities of Telangana |Introducing Wikimedia in Academic curriculum for students of higher education in universities of Telangana]]
* [[m:Special:MyLanguage/Education/News/February 2026/Learning from Finland: Edit-a-thon on Finnish Education set to take place in Belgrade|Learning from Finland: Edit-a-thon on Finnish Education set to take place in Belgrade]]
* [[m:Special:MyLanguage/Education/News/February 2026/Library of IME-USP Workshop: Edits in History of Mathematics|Library of IME-USP Workshop: Edits in History of Mathematics]]
* [[m:Special:MyLanguage/Education/News/February 2026/LitFest 2026: Room to Dream to amplify local voices across Wikimedia|LitFest 2026: Room to Dream to amplify local voices across Wikimedia]]
* [[m:Special:MyLanguage/Education/News/February 2026/New online workshops for the German language Wikipedia|New online workshops for the German language Wikipedia]]
* [[m:Special:MyLanguage/Education/News/February 2026/Road to Wiki Cohort 1: Building India's Next Generation of Wikimedia Technical Contributors|Road to Wiki Cohort 1: Building India's Next Generation of Wikimedia Technical Contributors]]
* [[m:Special:MyLanguage/Education/News/February 2026/The history of the Wikimedia movement in a Brazil: a book about stories and projects|The history of the Wikimedia movement in a Brazil: a book about stories and projects]]
* [[m:Special:MyLanguage/Education/News/February 2026/Wiki Club Federal Government Boys College Celebrates Mother Tongue Day|Wiki Club Federal Government Boys College Celebrates Mother Tongue Day]]
* [[m:Special:MyLanguage/Education/News/February 2026/Wiki Club Minalabac joins Freedom to Read 2026: One World, Many Languages|Wiki Club Minalabac joins Freedom to Read 2026: One World, Many Languages]]
* [[m:Special:MyLanguage/Education/News/February 2026/Wiki Love Folklore Photowalk at Khajuraho Dance Festival 2026|Wiki Love Folklore Photowalk at Khajuraho Dance Festival 2026]]
* [[m:Special:MyLanguage/Education/News/February 2026/Wiki Loves Fish Workshop Empowers Students to Document Coastal Biodiversity|Wiki Loves Fish Workshop Empowers Students to Document Coastal Biodiversity]]
* [[m:Special:MyLanguage/Education/News/February 2026/WikiCendekia 2026: Insights from our training of admins in Indonesia|WikiCendekia 2026: Insights from our training of admins in Indonesia]]
* [[m:Special:MyLanguage/Education/News/February 2026/Wikimedia MKD's activities- new wiki club and a lots of new training workshops|Wikimedia MKD's activities- new wiki club and a lots of new training workshops]]
* [[m:Special:MyLanguage/Education/News/February 2026/WikiPatrimoine Senghor : Valorisation du patrimoine culturel africain à l'Université Senghor|WikiPatrimoine Senghor : Valuation of African cultural heritage at the University Senghor]]
* [[m:Special:MyLanguage/Education/News/February 2026/Wikipedia Turns 25: Young Voices, Big Future|Wikipedia Turns 25: Young Voices, Big Future]]
&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 11:56, 3 March 2026 (UTC)&lt;/div&gt;
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== This Month in Education: March 2026 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 15 • Issue 3 • March 2026&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/March 2026|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/March 2026/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/March 2026/Advancing 21st-Century Education: Proposal to Establish the Yorùbá Wikipedia Fan Club at Arolu College of Education, Ilemona|Advancing 21st-Century Education: Proposal to Establish the Yorùbá Wikipedia Fan Club at Arolu College of Education, Ilemona]]
* [[m:Special:MyLanguage/Education/News/March 2026/Awareness Programme on Language and Culture Protection by KWUG|Awareness Programme on Language and Culture Protection by KWUG]]
* [[m:Special:MyLanguage/Education/News/March 2026/Teachers from Various Institutions in Rio de Janeiro Explore Wikipedia as a Means of Preserving Memory and Checking Sources|Teachers from Various Institutions in Rio de Janeiro Explore Wikipedia as a Means of Preserving Memory and Checking Sources]]
* [[m:Special:MyLanguage/Education/News/March 2026/Edu Wiki Nigeria Co-Founder Facilitates Textbook Donation to AHAJAS Integrated School, Gombe|Edu Wiki Nigeria Co-Founder Facilitates Textbook Donation to AHAJAS Integrated School, Gombe]]
* [[m:Special:MyLanguage/Education/News/March 2026/Inside Wikimedia Ukraine's education program|Inside Wikimedia Ukraine's education program]]
* [[m:Special:MyLanguage/Education/News/March 2026/Karavali Wikimedians at Mangaluru Design Summit 2026|Karavali Wikimedians at Mangaluru Design Summit 2026]]
* [[m:Special:MyLanguage/Education/News/March 2026/One School, One Article Campaign Wrap Up|One School, One Article Campaign Wrap Up]]
* [[m:Special:MyLanguage/Education/News/March 2026/Seeds of Knowledge: A Wiki Project that Sparked a Community at ADUN|Seeds of Knowledge: A Wiki Project that Sparked a Community at ADUN]]
* [[m:Special:MyLanguage/Education/News/March 2026/Student workshops at Serbian Universities: enriching Wikipedia with topics on culture and technology|Student workshops at Serbian Universities: enriching Wikipedia with topics on culture and technology]]
* [[m:Special:MyLanguage/Education/News/March 2026/The Open Knowledge Alliance: Wikimedia and Libraries|The Open Knowledge Alliance: Wikimedia and Libraries]]
* [[m:Special:MyLanguage/Education/News/March 2026/Wikimedia CR published updated guide for beginners|Wikimedia CR published updated guide for beginners]]
* [[m:Special:MyLanguage/Education/News/March 2026/Wikimedia goes back to the classroom in Brazil|Wikimedia goes back to the classroom in Brazil]]
* [[m:Special:MyLanguage/Education/News/March 2026/Workshop on Feminism and Folklore 2026 by Wiki Club SATI|Workshop on Feminism and Folklore 2026 by Wiki Club SATI]]
* [[m:Special:MyLanguage/Education/News/March 2026/“Wikimedia MKD in Action: Teacher Conferences and Education Activities|“Wikimedia MKD in Action: Teacher Conferences and Education Activities]]
* [[m:Special:MyLanguage/Education/News/March 2026/Wikipedia &amp; Libraries: Building New Contributors|Wikipedia &amp; Libraries: Building New Contributors]]

&lt;/div&gt;

&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 10:21, 1 April 2026 (UTC)&lt;/div&gt;
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== This Month in Education: April 2026 ==

&lt;div class=&quot;plainlinks&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:2.9em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt;This Month in Education&lt;/span&gt;

&lt;span style=&quot;font-weight:bold; color:#00A7E2; font-size:1.4em; font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;&quot;&gt; Volume 15 • Issue 4 • April 2026&lt;/span&gt;

&lt;div style=&quot;border-top:1px solid #a2a9b1; border-bottom:1px solid #a2a9b1; padding:0.5em; font-size:larger; margin-bottom:0.2em&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/April 2026|Contents]] • [[m:Special:MyLanguage/Education/Newsletter/April 2026/Headlines|Headlines]] • [[m:Special:MyLanguage/Global message delivery/Targets/This Month in Education|Subscribe]]&lt;/div&gt;

&lt;div style=&quot;color:white; font-size:1.8em; font-family:Montserrat; background:#92BFB1;&quot;&gt;In This Issue&lt;/div&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: left; column-count: 2; column-width: 35em;&quot;&gt;
* [[m:Special:MyLanguage/Education/News/April 2026/Empowering Knowledge: Wikimedia MKD Education Update|Empowering Knowledge: Wikimedia MKD Education Update]]
* [[m:Special:MyLanguage/Education/News/April 2026/WikiScholar: A School-Level Initiative to Promote Free Knowledge in Bangladesh|WikiScholar: A School-Level Initiative to Promote Free Knowledge in Bangladesh]]
* [[m:Special:MyLanguage/Education/News/April 2026/Wikipedia for School 2025–2026: A Competition That Continued Despite Frost, Power Outages, and War|Wikipedia for School 2025–2026: A Competition That Continued Despite Frost, Power Outages, and War]]
* [[m:Special:MyLanguage/Education/News/April 2026/Wikimedia UK and Thoughtful delivery new media literacy teacher training course|Wikimedia UK and Thoughtful delivery new media literacy teacher training course]]
* [[m:Special:MyLanguage/Education/News/April 2026/Wikimedia CR supporting SDG's in Czech schools|Wikimedia CR supporting SDG's in Czech schools]]
* [[m:Special:MyLanguage/Education/News/April 2026/University Students’ Mandatory Internships at Wikimedia Armenia|University Students’ Mandatory Internships at Wikimedia Armenia]]
* [[m:Special:MyLanguage/Education/News/April 2026/Third year of collaboration with Aleksandër Xhuvani University in Elbasan, Albania|Third year of collaboration with Aleksandër Xhuvani University in Elbasan, Albania]]
* [[m:Special:MyLanguage/Education/News/April 2026/Students Discover Open Source and Learn Wikipedia and Wikidata Skills for the First Time in Zarqa, Jordan|Students Discover Open Source and Learn Wikipedia and Wikidata Skills for the First Time in Zarqa, Jordan]]
* [[m:Special:MyLanguage/Education/News/April 2026/Leveraging on Wikipedia as a tool for curbing Health Misinformation and Disinformation in Akwa Ibom and Rivers State, Nigeria|Leveraging on Wikipedia as a tool for curbing Health Misinformation and Disinformation in Akwa Ibom and Rivers State, Nigeria]]
* [[m:Special:MyLanguage/Education/News/April 2026/Governance and Public Knowledge: Wikipedia as a Learning Tool in Sustainability Education through UNESCO Designated Sites|Governance and Public Knowledge: Wikipedia as a Learning Tool in Sustainability Education through UNESCO Designated Sites]]
* [[m:Special:MyLanguage/Education/News/April 2026/A month full of encounters with students in Brazil|A month full of encounters with students in Brazil]]
&lt;/div&gt;
&lt;div style=&quot;margin-top:10px; text-align: center; font-size:90%; padding-left:5px; font-family:Georgia, Palatino, Palatino Linotype, Times, Times New Roman, serif;&quot;&gt;[[m:Special:MyLanguage/Education/Newsletter/About|About ''This Month in Education'']] · [[m:Global message delivery/Targets/This Month in Education|Subscribe/Unsubscribe]] · [[m:Special:MyLanguage/MassMessage|Global message delivery]] · For the team: [[:m:User:ZI Jony|ZI Jony]] 16:01, 27 April 2026 (UTC)&lt;/div&gt;
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  <page>
    <title>Số tự nhiên</title>
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        <id>55465</id>
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      <comment>Created page with &quot;[[Category: Đại số]]&quot;</comment>
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&quot;[[Số tự nhiên]]&quot; – N, 0, 1, 2, 3,... (Có tranh cãi về việc có nên xét số 0 như là một số tự nhiên hay không. Điều này không thực sự quan trọng và chỉ mang tính quy ước.)</text>
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&quot;[[Số tự nhiên]]&quot; – 

==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
      <sha1>mphjxvvhq5ehoe8t4zf81oy4oycxnw3</sha1>
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    <revision>
      <id>383923</id>
      <parentid>383914</parentid>
      <timestamp>2026-04-27T16:04:44Z</timestamp>
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      <text bytes="673" sha1="dnqps6hui54th7yhjwi6qmzrrslkawt" xml:space="preserve">[[Category: Đại số]]
Mọi số đếm đều là số tự nhiên  

Ký hiệu 
:&lt;math&gt;N&lt;/math&gt; . 

Thí dụ 
:&lt;math&gt;0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Số chẳn== 
Mọi số chẳn đều chia hết cho 2 không có số dư và 

Ký hiệu 
: &lt;math&gt;2N&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;2,4,6,8&lt;/math&gt;

==Số lẻ==
Mọi số lẻ không chia hết cho 2 và có số dư bằng 1 

Ký hiệu 
: &lt;math&gt;2N+1&lt;/math&gt; 

Thí dụ
: &lt;math&gt;1,3,5,7,9&lt;/math&gt;

==Số nguyên tố ==
Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

Ký hiệu  
:&lt;math&gt;P&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
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    <revision>
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      <parentid>383923</parentid>
      <timestamp>2026-04-27T16:05:08Z</timestamp>
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Mọi số đếm đều là số tự nhiên  

==Ký hiệu ==
:&lt;math&gt;N&lt;/math&gt; . 

==Thí dụ ==
:&lt;math&gt;0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Số chẳn== 
Mọi số chẳn đều chia hết cho 2 không có số dư và 

Ký hiệu 
: &lt;math&gt;2N&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;2,4,6,8&lt;/math&gt;

==Số lẻ==
Mọi số lẻ không chia hết cho 2 và có số dư bằng 1 

Ký hiệu 
: &lt;math&gt;2N+1&lt;/math&gt; 

Thí dụ
: &lt;math&gt;1,3,5,7,9&lt;/math&gt;

==Số nguyên tố ==
Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

Ký hiệu  
:&lt;math&gt;P&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
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      <parentid>383924</parentid>
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      <text bytes="724" sha1="dz40mfaow37mymdh5v3u83nmnnyv8yp" xml:space="preserve">[[Category: Đại số]]
Mọi số đếm đều là số tự nhiên  

==Ký hiệu ==
:&lt;math&gt;N&lt;/math&gt; . 

==Thí dụ ==
:&lt;math&gt;0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Loai số chẳn== 
* [[Số chẳn]]


===Số chẳn==
Mọi số chẳn đều chia hết cho 2 không có số dư và 

Ký hiệu 
: &lt;math&gt;2N&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;2,4,6,8&lt;/math&gt;

==Số lẻ==
Mọi số lẻ không chia hết cho 2 và có số dư bằng 1 

Ký hiệu 
: &lt;math&gt;2N+1&lt;/math&gt; 

Thí dụ
: &lt;math&gt;1,3,5,7,9&lt;/math&gt;

==Số nguyên tố ==
Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

Ký hiệu  
:&lt;math&gt;P&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
      <sha1>dz40mfaow37mymdh5v3u83nmnnyv8yp</sha1>
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        <id>55465</id>
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      <comment>/* =Số chẳn */</comment>
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      <text bytes="570" sha1="1fag8ijcg75mspry8b6hs4xiyqv06v8" xml:space="preserve">[[Category: Đại số]]
Mọi số đếm đều là số tự nhiên  

==Ký hiệu ==
:&lt;math&gt;N&lt;/math&gt; . 

==Thí dụ ==
:&lt;math&gt;0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Loai số chẳn== 
* [[Số chẳn]]


==Số lẻ==
Mọi số lẻ không chia hết cho 2 và có số dư bằng 1 

Ký hiệu 
: &lt;math&gt;2N+1&lt;/math&gt; 

Thí dụ
: &lt;math&gt;1,3,5,7,9&lt;/math&gt;

==Số nguyên tố ==
Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

Ký hiệu  
:&lt;math&gt;P&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
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      <text bytes="435" sha1="h364lxmle4hmi490mdn21te0djkhq5e" xml:space="preserve">[[Category: Đại số]]
Mọi số đếm đều là số tự nhiên  

==Ký hiệu ==
:&lt;math&gt;N&lt;/math&gt; . 

==Thí dụ ==
:&lt;math&gt;0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Loai số chẳn== 
* [[Số chẳn]]
* [[Số lẻ]]


==Số nguyên tố ==
Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

Ký hiệu  
:&lt;math&gt;P&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
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Mọi số đếm đều là số tự nhiên  

==Ký hiệu ==
:&lt;math&gt;N&lt;/math&gt; . 

==Thí dụ ==
:&lt;math&gt;0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Loai số chẳn== 
* [[Số chẳn]]
* [[Số lẻ]]
* [[Số nguyên tố ]]</text>
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  <page>
    <title>Số nguyên</title>
    <ns>0</ns>
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      <id>383916</id>
      <timestamp>2026-04-27T15:58:46Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>Created page with &quot;[[Category: Đại số]]&quot;</comment>
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      <text bytes="25" sha1="jgnzsdj0rdv12icdg75htbkejxim59m" xml:space="preserve">[[Category: Đại số]]</text>
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[[Thể loại: Số đại số]]
Mọi số tự nhiên có giá trị bằng không được gọi là số nguyên không, lớn hơn không được gọi là số nguyên dương , nhỏ hơn không được gọi là số nguyên âm

==Ký hiệu==
: {|Width=1005
|-
| '''Số nguyên ''' || '''Số nguyên dương''' || '''Số nguyên không''' || '''Số nguyên âm'''
|-
| I  || +I&gt;0 || I=0 || -I &lt;0 
|-
|}

==Thí dụ==
:&lt;math&gt;-1,-2,-3,-4,-5,-6,-7,-8,-9,0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Phép toán số nguyên==
===Số 0===
:{|width=50%
|-
| Toán cộng || &lt;math&gt;0 + \pm a = \pm a&lt;/math&gt;
|-
| Toán trừ || &lt;math&gt;0 - \pm a  = \mp a&lt;/math&gt;
|-
| Toán nhân || &lt;math&gt;0 \times \pm a   = 0&lt;/math&gt;
|-
| toán chia || &lt;math&gt;0 / \pm a  = 0&lt;/math&gt;
|-
|}

===Số nguyên dương===
:{|width=80%
|-
| Toán cộng ||  &lt;math&gt;a + a = 2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a + 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán trừ || &lt;br&gt;&lt;math&gt;a - a = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;a - 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;a \times a = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 0 = 0&lt;/math&gt;
|-
| &lt;br&gt;Toán chia ||  &lt;br&gt;&lt;math&gt;a / a = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;a^0=1 &lt;/math&gt;&lt;br&gt; &lt;math&gt;a^n = a \times a \times a  ...&lt;/math&gt;&lt;br&gt;&lt;math&gt;a^{-n} = \frac{1}{a^n}&lt;/math&gt;&lt;br&gt;&lt;math&gt; a^{\frac{1}{n}} = n\sqrt{a} &lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;n\sqrt{a} = a^{\frac{1}{n}} &lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{0} = Error&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{1} = 1&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{-1} = j&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a} = a^{\frac{1}{mn}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{\frac {a} {b}}=\frac {\sqrt[n]{a}} {\sqrt[n]{b}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{ab}&lt;/math&gt; = &lt;math&gt;\sqrt[n]{a}&lt;/math&gt; &lt;math&gt;\sqrt[n]{b}&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \sqrt{a} = \sqrt{a^2 \times a} = \sqrt{a^3}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{a^n} = a \sqrt{a^{n-2}}&lt;/math&gt;
|-
| &lt;br&gt;Toán Log || &lt;br&gt;&lt;math&gt;Log 10^n = n&lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (a c) = \log_b (a)+\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a/ c) = \log_b (a)-\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (b^a) = a  \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a) = \frac{\log_d (a)}{\log_d (b)} &lt;/math&gt; for any &lt;math&gt; d&gt;0,d&lt;&gt;1 &lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (y^a) = a \log_b (y) \ &lt;/math&gt;
|-
|}

===Số nguyên âm===
:{|width=100%
|-
|&lt;br&gt;Toán cộng ||  &lt;br&gt;&lt;math&gt;-a + (-a) = -2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a + 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán cộng || &lt;br&gt;&lt;math&gt;-a - (-a) = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a - 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;-a \times (-a) = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 0 = 0&lt;/math&gt;
|-
|&lt;br&gt;Toán chia || &lt;br&gt;&lt;math&gt;-a / (-a) = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a / 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a /0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;(-a)^0=1 &lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = -a^n&lt;/math&gt; Vói &lt;math&gt;n = 2m+1&lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = a^n&lt;/math&gt; Với &lt;math&gt;n = 2m&lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;\sqrt{-a} = \pm j \sqrt{a} &lt;/math&gt;&lt;br&gt;
|-
|}</text>
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      <text bytes="2913" sha1="jftxfjutxp1vvp3uwkpz8ghd9zhbyn8" xml:space="preserve">[[Category: Đại số]]
Số nguyên cho cac số tự nhiên có giá trị bằng không được gọi là số nguyên không, lớn hơn không được gọi là số nguyên dương , nhỏ hơn không được gọi là số nguyên âm

==Ký hiệu==
: {|Width=1005
|-
| '''Số nguyên ''' || '''Số nguyên dương''' || '''Số nguyên không''' || '''Số nguyên âm'''
|-
| I  || +I&gt;0 || I=0 || -I &lt;0 
|-
|}

==Thí dụ==
:&lt;math&gt;-1,-2,-3,-4,-5,-6,-7,-8,-9,0,1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Phép toán số nguyên==
===Số 0===
:{|width=50%
|-
| Toán cộng || &lt;math&gt;0 + \pm a = \pm a&lt;/math&gt;
|-
| Toán trừ || &lt;math&gt;0 - \pm a  = \mp a&lt;/math&gt;
|-
| Toán nhân || &lt;math&gt;0 \times \pm a   = 0&lt;/math&gt;
|-
| toán chia || &lt;math&gt;0 / \pm a  = 0&lt;/math&gt;
|-
|}

===Số nguyên dương===
:{|width=80%
|-
| Toán cộng ||  &lt;math&gt;a + a = 2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a + 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán trừ || &lt;br&gt;&lt;math&gt;a - a = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;a - 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;a \times a = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 0 = 0&lt;/math&gt;
|-
| &lt;br&gt;Toán chia ||  &lt;br&gt;&lt;math&gt;a / a = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;a^0=1 &lt;/math&gt;&lt;br&gt; &lt;math&gt;a^n = a \times a \times a  ...&lt;/math&gt;&lt;br&gt;&lt;math&gt;a^{-n} = \frac{1}{a^n}&lt;/math&gt;&lt;br&gt;&lt;math&gt; a^{\frac{1}{n}} = n\sqrt{a} &lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;n\sqrt{a} = a^{\frac{1}{n}} &lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{0} = Error&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{1} = 1&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{-1} = j&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a} = a^{\frac{1}{mn}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{\frac {a} {b}}=\frac {\sqrt[n]{a}} {\sqrt[n]{b}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{ab}&lt;/math&gt; = &lt;math&gt;\sqrt[n]{a}&lt;/math&gt; &lt;math&gt;\sqrt[n]{b}&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \sqrt{a} = \sqrt{a^2 \times a} = \sqrt{a^3}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{a^n} = a \sqrt{a^{n-2}}&lt;/math&gt;
|-
| &lt;br&gt;Toán Log || &lt;br&gt;&lt;math&gt;Log 10^n = n&lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (a c) = \log_b (a)+\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a/ c) = \log_b (a)-\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (b^a) = a  \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a) = \frac{\log_d (a)}{\log_d (b)} &lt;/math&gt; for any &lt;math&gt; d&gt;0,d&lt;&gt;1 &lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (y^a) = a \log_b (y) \ &lt;/math&gt;
|-
|}

===Số nguyên âm===
:{|width=100%
|-
|&lt;br&gt;Toán cộng ||  &lt;br&gt;&lt;math&gt;-a + (-a) = -2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a + 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán cộng || &lt;br&gt;&lt;math&gt;-a - (-a) = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a - 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;-a \times (-a) = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 0 = 0&lt;/math&gt;
|-
|&lt;br&gt;Toán chia || &lt;br&gt;&lt;math&gt;-a / (-a) = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a / 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a /0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;(-a)^0=1 &lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = -a^n&lt;/math&gt; Vói &lt;math&gt;n = 2m+1&lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = a^n&lt;/math&gt; Với &lt;math&gt;n = 2m&lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;\sqrt{-a} = \pm j \sqrt{a} &lt;/math&gt;&lt;br&gt;
|-
|}</text>
      <sha1>jftxfjutxp1vvp3uwkpz8ghd9zhbyn8</sha1>
    </revision>
    <revision>
      <id>383919</id>
      <parentid>383918</parentid>
      <timestamp>2026-04-27T16:00:59Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>/* Thí dụ */</comment>
      <origin>383919</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2943" sha1="8kipyf0j2zo57uyvq3057kylbim281i" xml:space="preserve">[[Category: Đại số]]
Số nguyên cho cac số tự nhiên có giá trị bằng không được gọi là số nguyên không, lớn hơn không được gọi là số nguyên dương , nhỏ hơn không được gọi là số nguyên âm

==Ký hiệu==
: {|Width=1005
|-
| '''Số nguyên ''' || '''Số nguyên dương''' || '''Số nguyên không''' || '''Số nguyên âm'''
|-
| I  || +I&gt;0 || I=0 || -I &lt;0 
|-
|}

==Thí dụ==
:&lt;math&gt;-1,-2,-3,-4,-5,-6,-7,-8,-9,0,

:Số nguyên dương &lt;math&gt;1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Phép toán số nguyên==
===Số 0===
:{|width=50%
|-
| Toán cộng || &lt;math&gt;0 + \pm a = \pm a&lt;/math&gt;
|-
| Toán trừ || &lt;math&gt;0 - \pm a  = \mp a&lt;/math&gt;
|-
| Toán nhân || &lt;math&gt;0 \times \pm a   = 0&lt;/math&gt;
|-
| toán chia || &lt;math&gt;0 / \pm a  = 0&lt;/math&gt;
|-
|}

===Số nguyên dương===
:{|width=80%
|-
| Toán cộng ||  &lt;math&gt;a + a = 2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a + 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán trừ || &lt;br&gt;&lt;math&gt;a - a = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;a - 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;a \times a = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 0 = 0&lt;/math&gt;
|-
| &lt;br&gt;Toán chia ||  &lt;br&gt;&lt;math&gt;a / a = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;a^0=1 &lt;/math&gt;&lt;br&gt; &lt;math&gt;a^n = a \times a \times a  ...&lt;/math&gt;&lt;br&gt;&lt;math&gt;a^{-n} = \frac{1}{a^n}&lt;/math&gt;&lt;br&gt;&lt;math&gt; a^{\frac{1}{n}} = n\sqrt{a} &lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;n\sqrt{a} = a^{\frac{1}{n}} &lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{0} = Error&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{1} = 1&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{-1} = j&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a} = a^{\frac{1}{mn}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{\frac {a} {b}}=\frac {\sqrt[n]{a}} {\sqrt[n]{b}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{ab}&lt;/math&gt; = &lt;math&gt;\sqrt[n]{a}&lt;/math&gt; &lt;math&gt;\sqrt[n]{b}&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \sqrt{a} = \sqrt{a^2 \times a} = \sqrt{a^3}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{a^n} = a \sqrt{a^{n-2}}&lt;/math&gt;
|-
| &lt;br&gt;Toán Log || &lt;br&gt;&lt;math&gt;Log 10^n = n&lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (a c) = \log_b (a)+\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a/ c) = \log_b (a)-\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (b^a) = a  \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a) = \frac{\log_d (a)}{\log_d (b)} &lt;/math&gt; for any &lt;math&gt; d&gt;0,d&lt;&gt;1 &lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (y^a) = a \log_b (y) \ &lt;/math&gt;
|-
|}

===Số nguyên âm===
:{|width=100%
|-
|&lt;br&gt;Toán cộng ||  &lt;br&gt;&lt;math&gt;-a + (-a) = -2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a + 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán cộng || &lt;br&gt;&lt;math&gt;-a - (-a) = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a - 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;-a \times (-a) = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 0 = 0&lt;/math&gt;
|-
|&lt;br&gt;Toán chia || &lt;br&gt;&lt;math&gt;-a / (-a) = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a / 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a /0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;(-a)^0=1 &lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = -a^n&lt;/math&gt; Vói &lt;math&gt;n = 2m+1&lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = a^n&lt;/math&gt; Với &lt;math&gt;n = 2m&lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;\sqrt{-a} = \pm j \sqrt{a} &lt;/math&gt;&lt;br&gt;
|-
|}</text>
      <sha1>8kipyf0j2zo57uyvq3057kylbim281i</sha1>
    </revision>
    <revision>
      <id>383921</id>
      <parentid>383919</parentid>
      <timestamp>2026-04-27T16:02:09Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>/* Thí dụ */</comment>
      <origin>383921</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="2999" sha1="gesbfp3rlhs77cfwaymq0xotdjpdbsp" xml:space="preserve">[[Category: Đại số]]
Số nguyên cho cac số tự nhiên có giá trị bằng không được gọi là số nguyên không, lớn hơn không được gọi là số nguyên dương , nhỏ hơn không được gọi là số nguyên âm

==Ký hiệu==
: {|Width=1005
|-
| '''Số nguyên ''' || '''Số nguyên dương''' || '''Số nguyên không''' || '''Số nguyên âm'''
|-
| I  || +I&gt;0 || I=0 || -I &lt;0 
|-
|}

==Thí dụ==
:Số nguyên am &lt;math&gt;-1,-2,-3,-4,-5,-6,-7,-8,-9&lt;/math&gt;

:Số nguyên khong &lt;math&gt;0&lt;/math&gt;

:Số nguyên dương &lt;math&gt;1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Phép toán số nguyên==
===Số 0===
:{|width=50%
|-
| Toán cộng || &lt;math&gt;0 + \pm a = \pm a&lt;/math&gt;
|-
| Toán trừ || &lt;math&gt;0 - \pm a  = \mp a&lt;/math&gt;
|-
| Toán nhân || &lt;math&gt;0 \times \pm a   = 0&lt;/math&gt;
|-
| toán chia || &lt;math&gt;0 / \pm a  = 0&lt;/math&gt;
|-
|}

===Số nguyên dương===
:{|width=80%
|-
| Toán cộng ||  &lt;math&gt;a + a = 2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a + 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán trừ || &lt;br&gt;&lt;math&gt;a - a = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;a - 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;a \times a = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 0 = 0&lt;/math&gt;
|-
| &lt;br&gt;Toán chia ||  &lt;br&gt;&lt;math&gt;a / a = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;a^0=1 &lt;/math&gt;&lt;br&gt; &lt;math&gt;a^n = a \times a \times a  ...&lt;/math&gt;&lt;br&gt;&lt;math&gt;a^{-n} = \frac{1}{a^n}&lt;/math&gt;&lt;br&gt;&lt;math&gt; a^{\frac{1}{n}} = n\sqrt{a} &lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;n\sqrt{a} = a^{\frac{1}{n}} &lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{0} = Error&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{1} = 1&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{-1} = j&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a} = a^{\frac{1}{mn}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{\frac {a} {b}}=\frac {\sqrt[n]{a}} {\sqrt[n]{b}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{ab}&lt;/math&gt; = &lt;math&gt;\sqrt[n]{a}&lt;/math&gt; &lt;math&gt;\sqrt[n]{b}&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \sqrt{a} = \sqrt{a^2 \times a} = \sqrt{a^3}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{a^n} = a \sqrt{a^{n-2}}&lt;/math&gt;
|-
| &lt;br&gt;Toán Log || &lt;br&gt;&lt;math&gt;Log 10^n = n&lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (a c) = \log_b (a)+\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a/ c) = \log_b (a)-\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (b^a) = a  \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a) = \frac{\log_d (a)}{\log_d (b)} &lt;/math&gt; for any &lt;math&gt; d&gt;0,d&lt;&gt;1 &lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (y^a) = a \log_b (y) \ &lt;/math&gt;
|-
|}

===Số nguyên âm===
:{|width=100%
|-
|&lt;br&gt;Toán cộng ||  &lt;br&gt;&lt;math&gt;-a + (-a) = -2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a + 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán cộng || &lt;br&gt;&lt;math&gt;-a - (-a) = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a - 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;-a \times (-a) = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 0 = 0&lt;/math&gt;
|-
|&lt;br&gt;Toán chia || &lt;br&gt;&lt;math&gt;-a / (-a) = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a / 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a /0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;(-a)^0=1 &lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = -a^n&lt;/math&gt; Vói &lt;math&gt;n = 2m+1&lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = a^n&lt;/math&gt; Với &lt;math&gt;n = 2m&lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;\sqrt{-a} = \pm j \sqrt{a} &lt;/math&gt;&lt;br&gt;
|-
|}</text>
      <sha1>gesbfp3rlhs77cfwaymq0xotdjpdbsp</sha1>
    </revision>
    <revision>
      <id>383922</id>
      <parentid>383921</parentid>
      <timestamp>2026-04-27T16:02:48Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <origin>383922</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="3023" sha1="db3u8u9jh0tyvbk3g9zx34zmoom20bu" xml:space="preserve">[[Category: Đại số]]
Số nguyên cho cac số tự nhiên có giá trị bằng không được gọi là số nguyên không, lớn hơn không được gọi là số nguyên dương , nhỏ hơn không được gọi là số nguyên âm

==Ký hiệu==
: I

==Loai so nguyen==
: {|Width=1005
|-
| '''Số nguyên ''' || '''Số nguyên dương''' || '''Số nguyên không''' || '''Số nguyên âm'''
|-
| I  || +I&gt;0 || I=0 || -I &lt;0 
|-
|}

==Thí dụ==
:Số nguyên am &lt;math&gt;-1,-2,-3,-4,-5,-6,-7,-8,-9&lt;/math&gt;

:Số nguyên khong &lt;math&gt;0&lt;/math&gt;

:Số nguyên dương &lt;math&gt;1,2,3,4,5,6,7,8,9&lt;/math&gt;

==Phép toán số nguyên==
===Số 0===
:{|width=50%
|-
| Toán cộng || &lt;math&gt;0 + \pm a = \pm a&lt;/math&gt;
|-
| Toán trừ || &lt;math&gt;0 - \pm a  = \mp a&lt;/math&gt;
|-
| Toán nhân || &lt;math&gt;0 \times \pm a   = 0&lt;/math&gt;
|-
| toán chia || &lt;math&gt;0 / \pm a  = 0&lt;/math&gt;
|-
|}

===Số nguyên dương===
:{|width=80%
|-
| Toán cộng ||  &lt;math&gt;a + a = 2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a + 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán trừ || &lt;br&gt;&lt;math&gt;a - a = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;a - 0 = a&lt;/math&gt;
|-
| &lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;a \times a = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \times 0 = 0&lt;/math&gt;
|-
| &lt;br&gt;Toán chia ||  &lt;br&gt;&lt;math&gt;a / a = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 1 = a&lt;/math&gt;&lt;br&gt;&lt;math&gt;a / 0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;a^0=1 &lt;/math&gt;&lt;br&gt; &lt;math&gt;a^n = a \times a \times a  ...&lt;/math&gt;&lt;br&gt;&lt;math&gt;a^{-n} = \frac{1}{a^n}&lt;/math&gt;&lt;br&gt;&lt;math&gt; a^{\frac{1}{n}} = n\sqrt{a} &lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;n\sqrt{a} = a^{\frac{1}{n}} &lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{0} = Error&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{1} = 1&lt;/math&gt;&lt;br&gt; &lt;math&gt;\sqrt{-1} = j&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a} = a^{\frac{1}{mn}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{\frac {a} {b}}=\frac {\sqrt[n]{a}} {\sqrt[n]{b}}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt[n]{ab}&lt;/math&gt; = &lt;math&gt;\sqrt[n]{a}&lt;/math&gt; &lt;math&gt;\sqrt[n]{b}&lt;/math&gt;&lt;br&gt;&lt;math&gt;a \sqrt{a} = \sqrt{a^2 \times a} = \sqrt{a^3}&lt;/math&gt;&lt;br&gt;&lt;math&gt;\sqrt{a^n} = a \sqrt{a^{n-2}}&lt;/math&gt;
|-
| &lt;br&gt;Toán Log || &lt;br&gt;&lt;math&gt;Log 10^n = n&lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (a c) = \log_b (a)+\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a/ c) = \log_b (a)-\log_b (c) \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (b^a) = a  \ &lt;/math&gt;&lt;br&gt; &lt;math&gt; \log_b (a) = \frac{\log_d (a)}{\log_d (b)} &lt;/math&gt; for any &lt;math&gt; d&gt;0,d&lt;&gt;1 &lt;/math&gt;&lt;br&gt;&lt;math&gt; \log_b (y^a) = a \log_b (y) \ &lt;/math&gt;
|-
|}

===Số nguyên âm===
:{|width=100%
|-
|&lt;br&gt;Toán cộng ||  &lt;br&gt;&lt;math&gt;-a + (-a) = -2a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a + 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán cộng || &lt;br&gt;&lt;math&gt;-a - (-a) = 0&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a - 0 = -a&lt;/math&gt;
|-
|&lt;br&gt;Toán nhân || &lt;br&gt;&lt;math&gt;-a \times (-a) = a^2&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a \times 0 = 0&lt;/math&gt;
|-
|&lt;br&gt;Toán chia || &lt;br&gt;&lt;math&gt;-a / (-a) = 1&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a / 1 = -a&lt;/math&gt;&lt;br&gt;&lt;math&gt;-a /0 = 00&lt;/math&gt;
|-
| &lt;br&gt;Toán lũy thừa ||  &lt;br&gt;&lt;math&gt;(-a)^0=1 &lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = -a^n&lt;/math&gt; Vói &lt;math&gt;n = 2m+1&lt;/math&gt;&lt;br&gt;&lt;math&gt;(-a)^n = a^n&lt;/math&gt; Với &lt;math&gt;n = 2m&lt;/math&gt;
|-
| &lt;br&gt;Toán căn ||  &lt;br&gt;&lt;math&gt;\sqrt{-a} = \pm j \sqrt{a} &lt;/math&gt;&lt;br&gt;
|-
|}</text>
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    </revision>
  </page>
  <page>
    <title>Số chẳn</title>
    <ns>0</ns>
    <id>55542</id>
    <revision>
      <id>383927</id>
      <timestamp>2026-04-27T16:06:31Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>Created page with &quot;===Số chẳn== Mọi số chẳn đều chia hết cho 2 không có số dư và   Ký hiệu  : &lt;math&gt;2N&lt;/math&gt; .   Thí dụ  : &lt;math&gt;2,4,6,8&lt;/math&gt;&quot;</comment>
      <origin>383927</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="152" sha1="bd4q18kphp9hdfj3nkav2v37e8oe6cl" xml:space="preserve">===Số chẳn==
Mọi số chẳn đều chia hết cho 2 không có số dư và 

Ký hiệu 
: &lt;math&gt;2N&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;2,4,6,8&lt;/math&gt;</text>
      <sha1>bd4q18kphp9hdfj3nkav2v37e8oe6cl</sha1>
    </revision>
    <revision>
      <id>383932</id>
      <parentid>383927</parentid>
      <timestamp>2026-04-27T16:08:38Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <origin>383932</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="182" sha1="di3ciwh48e2vsidt6spcfjh8bjiy2s1" xml:space="preserve">===Số chẳn==
Mọi số chẳn đều chia hết cho 2 không có số dư và 

Ký hiệu 
: &lt;math&gt;2N&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;2,4,6,8&lt;/math&gt;
[[Category:Số tự nhiên]]</text>
      <sha1>di3ciwh48e2vsidt6spcfjh8bjiy2s1</sha1>
    </revision>
  </page>
  <page>
    <title>Số lẻ</title>
    <ns>0</ns>
    <id>55543</id>
    <revision>
      <id>383929</id>
      <timestamp>2026-04-27T16:07:02Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>Created page with &quot;==Số lẻ== Mọi số lẻ không chia hết cho 2 và có số dư bằng 1   Ký hiệu  : &lt;math&gt;2N+1&lt;/math&gt;   Thí dụ : &lt;math&gt;1,3,5,7,9&lt;/math&gt;&quot;</comment>
      <origin>383929</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="150" sha1="jxf1wvjxuf7xt4qesryspwpqzvg8w0d" xml:space="preserve">==Số lẻ==
Mọi số lẻ không chia hết cho 2 và có số dư bằng 1 

Ký hiệu 
: &lt;math&gt;2N+1&lt;/math&gt; 

Thí dụ
: &lt;math&gt;1,3,5,7,9&lt;/math&gt;</text>
      <sha1>jxf1wvjxuf7xt4qesryspwpqzvg8w0d</sha1>
    </revision>
    <revision>
      <id>383933</id>
      <parentid>383929</parentid>
      <timestamp>2026-04-27T16:09:26Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <origin>383933</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="180" sha1="atw3h6w9b4jilyrohh463pffffgcikr" xml:space="preserve">==Số lẻ==
Mọi số lẻ không chia hết cho 2 và có số dư bằng 1 

Ký hiệu 
: &lt;math&gt;2N+1&lt;/math&gt; 

Thí dụ
: &lt;math&gt;1,3,5,7,9&lt;/math&gt;
[[Category:Số tự nhiên]]</text>
      <sha1>atw3h6w9b4jilyrohh463pffffgcikr</sha1>
    </revision>
  </page>
  <page>
    <title>Số nguyên tố</title>
    <ns>0</ns>
    <id>55544</id>
    <revision>
      <id>383931</id>
      <timestamp>2026-04-27T16:07:33Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>Created page with &quot;Mọi số nguyên tố đều chia hết cho 1 và cho chính nó   Ký hiệu   :&lt;math&gt;P&lt;/math&gt; .   Thí dụ  : &lt;math&gt;1,3,5,7&lt;/math&gt;   ==Ký hiệu== : N  ==Thí dụ == : , 0, 1, 2, 3,...&quot;</comment>
      <origin>383931</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="191" sha1="t8jb4mvyqnu8l05clf3jajqlajqgdh1" xml:space="preserve">Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

Ký hiệu  
:&lt;math&gt;P&lt;/math&gt; . 

Thí dụ 
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...</text>
      <sha1>t8jb4mvyqnu8l05clf3jajqlajqgdh1</sha1>
    </revision>
    <revision>
      <id>383934</id>
      <parentid>383931</parentid>
      <timestamp>2026-04-27T16:09:55Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <origin>383934</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="240" sha1="7qf3juxz4wib513vd3p7c2ur6d65x7b" xml:space="preserve">Mọi số nguyên tố đều chia hết cho 1 và cho chính nó 

==Ký hiệu  ==
:&lt;math&gt;P&lt;/math&gt; . 

==Thí dụ ==           
: &lt;math&gt;1,3,5,7&lt;/math&gt;


==Ký hiệu==
: N

==Thí dụ ==
: , 0, 1, 2, 3,...
[[Category:Số tự nhiên]]</text>
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    </revision>
  </page>
  <page>
    <title>Category:Sách cổ học đông phương</title>
    <ns>14</ns>
    <id>55545</id>
    <revision>
      <id>383936</id>
      <timestamp>2026-04-27T16:14:50Z</timestamp>
      <contributor>
        <username>~2026-25810-28</username>
        <id>55465</id>
      </contributor>
      <comment>Created page with &quot;[[Category: Sách]]&quot;</comment>
      <origin>383936</origin>
      <model>wikitext</model>
      <format>text/x-wiki</format>
      <text bytes="19" sha1="6xf5rh8ydox43pwclzi7z28k73pouc7" xml:space="preserve">[[Category: Sách]]</text>
      <sha1>6xf5rh8ydox43pwclzi7z28k73pouc7</sha1>
    </revision>
  </page>
</mediawiki>