Difference between revisions of "Template:Intmath/sandbox"

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imported>Renamed user mou89p43twvqcvm8ut9w3
m (→‎top: Orphan Unicode as per TfD using AWB)
imported>Renamed user mou89p43twvqcvm8ut9w3
(fix orphaning)
 
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--><span style{{=}}"vertical-align: -0.075em; font-style: italic; font-size: 1.4em; line-height: 0.715em; height: 0.715em; margin-top: -1.0em; padding-top: 0; margin-right: -0.15em;"><!--
 
--><span style{{=}}"vertical-align: -0.075em; font-style: italic; font-size: 1.4em; line-height: 0.715em; height: 0.715em; margin-top: -1.0em; padding-top: 0; margin-right: -0.15em;"><!--
 
-->{{#switch: {{{1|int}}}
 
-->{{#switch: {{{1|int}}}
   | iint = {{subst:Unicode|}}
+
   | iint = ∬
   | iiint = {{subst:Unicode|}}
+
   | iiint = ∭
   | iiiint = {{subst:Unicode|}}
+
   | iiiint = ⨌
   | oint = {{subst:Unicode|}}
+
   | oint = ∮
   | varointclockwise = {{subst:Unicode|}}
+
   | varointclockwise = ∲
   | ointctrclockwise = {{subst:Unicode|}}
+
   | ointctrclockwise = ∳
   | oiint = {{subst:Unicode|}}
+
   | oiint = ∯
   | oiiint = {{subst:Unicode|}}
+
   | oiiint = ∰
 
   }}<!--
 
   }}<!--
 
--></span><!--
 
--></span><!--
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--><span style{{=}}"display: inline-block; position: relative; line-height: 0.715em; height: 0.715em; margin-top: -1.0em; padding: 0; font-size: {{#ifeq: {{{4|}}} |tiny|0.75|1.0}}em; {{#ifeq: {{{4|}}} |tiny|vertical-align: 0.3em;}}"><!--
 
--><span style{{=}}"display: inline-block; position: relative; line-height: 0.715em; height: 0.715em; margin-top: -1.0em; padding: 0; font-size: {{#ifeq: {{{4|}}} |tiny|0.75|1.0}}em; {{#ifeq: {{{4|}}} |tiny|vertical-align: 0.3em;}}"><!--
 
--><span style{{=}}"display: inline-block; vertical-align: -0.11em; line-height: 0.715em; height: 0.715em; padding-top: 0; margin-right: -0.15em;"><!--
 
--><span style{{=}}"display: inline-block; vertical-align: -0.11em; line-height: 0.715em; height: 0.715em; padding-top: 0; margin-right: -0.15em;"><!--
--><span style{{=}}"font-size: 1.4em; line-height: 0.715em; height: 0.715em; {{transform-rotate|18.5}} vertical-align: -0.13em; margin-top: -1.0em; padding-top: 0; margin-right: -0.25em;">{{subst:Unicode|}}</span><!--
+
--><span style{{=}}"font-size: 1.4em; line-height: 0.715em; height: 0.715em; {{transform-rotate|18.5}} vertical-align: -0.13em; margin-top: -1.0em; padding-top: 0; margin-right: -0.25em;">∫</span><!--
 
   -->{{su
 
   -->{{su
 
     | b = <span style{{=}}"vertical-align: 0.0em; font-size: 0.9em; margin-left: 0.3em;">{{{2|}}}</span>
 
     | b = <span style{{=}}"vertical-align: 0.0em; font-size: 0.9em; margin-left: 0.3em;">{{{2|}}}</span>
Line 46: Line 46:
 
| #default = <!--
 
| #default = <!--
 
--><span style{{=}}"display: inline-block; position: relative; font-size: {{#ifeq: {{{4|}}} |tiny|0.75|1.0}}em; {{#ifeq: {{{4|}}} |tiny|vertical-align: 0.3em;}} line-height: 0.715em; height: 0.715em; margin-top: -1.0em; padding: 0;"><!--
 
--><span style{{=}}"display: inline-block; position: relative; font-size: {{#ifeq: {{{4|}}} |tiny|0.75|1.0}}em; {{#ifeq: {{{4|}}} |tiny|vertical-align: 0.3em;}} line-height: 0.715em; height: 0.715em; margin-top: -1.0em; padding: 0;"><!--
   --><span style{{=}}"vertical-align: -0.15em; font-style: italic; font-size: 1.35em; margin-right: -0.06em;">{{subst:Unicode|}}</span><!--
+
   --><span style{{=}}"vertical-align: -0.15em; font-style: italic; font-size: 1.35em; margin-right: -0.06em;">∫</span><!--
 
   -->{{su
 
   -->{{su
 
     | b = <span style{{=}}"vertical-align: -0.1em; font-size: 0.9em; margin-left: 0.1em;">{{{2|}}}</span>
 
     | b = <span style{{=}}"vertical-align: -0.1em; font-size: 0.9em; margin-left: 0.1em;">{{{2|}}}</span>

Latest revision as of 08:36, 30 April 2016

Template documentation[view] [edit] [history] [purge]

This template generates integral symbols using unicode, for inline {{math}} formulae as an alternative to LaTeX generated in <math>.

Parameters

The template has three parameters, applicable one by one:

  1. Integral sign: Choose one of: These match the LaTeX definitions exactly: please do not modify them for something more "convenient", thank you.
  2. Subscript: Enter the subscript (symbol or short expression), for the lower limit or denoting an n-dimensional space or the (n − 1)- dimensional boundary.
  3. Superscript: Enter the superscript (symbol or short expression) for the upper limit.

NB:

  • Applying font-style: italic; or font-style: oblique; to the integral symbol has no effect in Firefox, it remains upright. E.g.
    <span style="font-style: italic;">∫</span> yields ;
    <span style="font-style: oblique;">∫</span> yields .
  • This template already includes {{su}}.

Examples

No {{math}}

Gamma function

Γ(z) =
0
ettz − 1dt
Γ(''z'') = {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>''t''<sup>''z'' − 1</sup>''dt''

Line integral


C
F(x) ∙ dx = −
C
F(x) ∙ dx
{{intmath|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' = −{{intmath|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''

Maxwell's equations


V
EdS = Template:Sfrac
V
ρ dV

V
BdS = 0

S
Edx = −
S
Template:SfracdS

S
Bdx =
S
(μ0J + Template:SfracTemplate:Sfrac) ∙ dS
{{intmath|oiint|∂''V''}} '''E''' ∙ ''d'''''S''' = {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|''V''}} ''ρ'' ''dV''
{{intmath|oiint|∂''V''}} '''B''' ∙ ''d'''''S''' = 0
{{intmath|oint|∂''S''}} '''E''' ∙ ''d'''''x''' = −{{intmath|iint|''S''}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''
{{intmath|oint|∂''S''}} '''B''' ∙ ''d'''''x''' = {{intmath|iint|''S''}} (''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}) ∙ ''d'''''S'''

{{math}}

Gamma function

Γ(z) =
0
ettz − 1dt
{{math|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>''t''<sup>''z'' − 1</sup>''dt''}}

Line integral


C
F(x) ∙ dx = −
C
F(x) ∙ dx
{{math|{{intmath|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' {{=}} −{{intmath|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''}}

Maxwell's equations


V
EdS = Template:Sfrac
V
ρ dV

V
BdS = 0

S
Edx = −
S
Template:SfracdS

S
Bdx =
S
(μ0J + Template:SfracTemplate:Sfrac) ∙ dS
{{math|{{intmath|oiint|∂''V''}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|''V''}} ''ρ'' ''dV''}}
{{math|{{intmath|oiint|∂''V''}} '''B''' ∙ ''d'''''S''' {{=}} 0}}
{{math|{{intmath|oint|∂''S''}} '''E''' ∙ ''d'''''x''' {{=}} −{{intmath|iint|''S''}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}
{{math|{{intmath|oint|∂''S''}} '''B''' ∙ ''d'''''x''' {{=}} {{intmath|iint|''S''}} (''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}) ∙ ''d'''''S'''}}

See also