Original file (SVG file, nominally 347 × ばつ 124 pixels, file size: 33 KB)
Summary
Description
Computer modern sample text.svg
English: Sample of text and mathematics in
Computer Modern (produced with LaTeX)
Deutsch: Beispiel eines Textes mit mathematischen Formeln in der Schriftart
Computer Modern (erstellt mit LaTeX)
Date
23 April 2009
Source
self created using pdfeTeX from Source (see below)
LaTeX source
\documentclass { article}
\begin { document}
$$ \left ( 1 - \frac { 1 }{ 9 } \right ) \cdots \left ( 1 - \frac { 1 }{n^ 2 } \right ) \left ( 1 - \frac { 1 }{ ( n + 1 ) ^ 2 } \right ) = {n + 2 \over 2 n + x} $$ \\
The calculation holds for $ n = 2 $ and for $ n = k + 4 $ .\\
Therefore it holds for $ n \geq 2 $ . Q.E.D.
\textit { If you have that}
$$ \prod _{n = 2 }^{ \infty } \left ( 1 - { 1 \over n^ 2 } \right ) = { 1 \over 2 } $$
\end { document}
Licensing
Public domain Public domain false false
[画像:Public domain ]
I, the copyright holder of this work, release this work into the
public domain . This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose , without any conditions, unless such conditions are required by law.
Captions English Add a one-line explanation of what this file represents
Items portrayed in this file creator<\/a>"}},"text\/plain":{"en":{"":"creator"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":4174,\"id\":\"P4174\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"
Wikimedia username<\/a>"}},"text\/plain":{"en":{"":"Wikimedia username"}}},"{\"value\":\"Lumu\",\"type\":\"string\"}":{"text\/html":{"en":{"P4174":" Lumu<\/a>","P2093":"Lumu"}},"text\/plain":{"en":{"P4174":"Lumu","P2093":"Lumu"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2699,\"id\":\"P2699\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" URL<\/a>"}},"text\/plain":{"en":{"":"URL"}}},"{\"value\":\"https:\\\/\\\/commons.wikimedia.org\\\/wiki\\\/user:Lumu\",\"type\":\"string\"}":{"text\/html":{"en":{"P2699":" https:\/\/commons.wikimedia.org\/wiki\/user:Lumu<\/a>"}},"text\/plain":{"en":{"P2699":"https:\/\/commons.wikimedia.org\/wiki\/user:Lumu"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2093,\"id\":\"P2093\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" author name string<\/a>"}},"text\/plain":{"en":{"":"author name string"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P170 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"> inception<\/a>"}},"text\/plain":{"en":{"":"inception"}}},"{\"value\":{\"time\":\"+2009年04月23日T00:00:00Z\",\"timezone\":0,\"before\":0,\"after\":0,\"precision\":11,\"calendarmodel\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q1985727\"},\"type\":\"time\"}":{"text\/html":{"en":{"P571":"23 April 2009"}},"text\/plain":{"en":{"P571":"23 April 2009"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P571 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">
media type<\/a>"}},"text\/plain":{"en":{"":"media type"}}},"{\"value\":\"image\\\/svg+xml\",\"type\":\"string\"}":{"text\/html":{"en":{"P1163":"image\/svg+xml"}},"text\/plain":{"en":{"P1163":"image\/svg+xml"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P1163 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">
checksum<\/a>"}},"text\/plain":{"en":{"":"checksum"}}},"{\"value\":\"097f2fa047bd6c8f455f1339314a250ff40b8326\",\"type\":\"string\"}":{"text\/html":{"en":{"P4092":"097f2fa047bd6c8f455f1339314a250ff40b8326"}},"text\/plain":{"en":{"P4092":"097f2fa047bd6c8f455f1339314a250ff40b8326"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":459,\"id\":\"P459\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"
determination method or standard<\/a>"}},"text\/plain":{"en":{"":"determination method or standard"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":13414952,\"id\":\"Q13414952\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P459":" SHA-1<\/a>"}},"text\/plain":{"en":{"P459":"SHA-1"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P4092 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">
097f2fa047bd6c8f455f1339314a250ff40b8326 data size<\/a>"}},"text\/plain":{"en":{"":"data size"}}},"{\"value\":{\"amount\":\"+33457\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q8799\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P3575":"33,457
byte<\/span>"}},"text\/plain":{"en":{"P3575":"33,457 byte"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P3575 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"> height<\/a>"}},"text\/plain":{"en":{"":"height"}}},"{\"value\":{\"amount\":\"+124\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q355198\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P2048":"124
pixel<\/span>"}},"text\/plain":{"en":{"P2048":"124 pixel"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P2048 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"> width<\/a>"}},"text\/plain":{"en":{"":"width"}}},"{\"value\":{\"amount\":\"+347\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q355198\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P2049":"347
pixel<\/span>"}},"text\/plain":{"en":{"P2049":"347 pixel"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P2049 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"> File history
Click on a date/time to view the file as it appeared at that time.
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
Usage on cs.wikipedia.org
Usage on de.wikipedia.org
Usage on hu.wikipedia.org
Usage on ja.wikipedia.org
Usage on ko.wikipedia.org
Usage on zh.wikipedia.org
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Width 277.933pt Height 99.2641pt
