General Display information for equation id:math.2392.85 on revision:2392
* Page found: Informationsmaße (eq math.2392.85)
(force rerendering) Occurrences on the following pages:
Hash: 02aee1b5667a5ce6e13b5c00da4673a0
TeX (original user input):
I(P)=K(P,\frac { 1}{ N} )-\ln N
TeX (checked):
I(P)=K(P,{ \frac { 1}{ N}} )-\ln N
LaTeXML (experimentell; verwendet MathML) rendering Ausklappen MathML (3.889 KB / 828 B) :
I
(
P
)
=
K
(
P
,
1
N
)
-
ln
N
𝐼
𝑃
𝐾
𝑃
1
𝑁
𝑁
{\displaystyle{\displaystyle I(P)=K(P,\frac{1}{N})-\ln N}}
<math xmlns= "http://www.w3.org/1998/Math/MathML" id= "p1.1.m1.1" class= "ltx_Math" alttext= "{\displaystyle{\displaystyle I(P)=K(P,\frac{1}{N})-\ln N}}" display= "inline" >
<semantics id= "p1.1.m1.1a" >
<mrow id= "p1.1.m1.1.15" xref= "p1.1.m1.1.15.cmml" >
<mrow id= "p1.1.m1.1.15.1" xref= "p1.1.m1.1.15.1.cmml" >
<mi id= "p1.1.m1.1.1" xref= "p1.1.m1.1.1.cmml" > I</mi>
<mo id= "p1.1.m1.1.15.1.1" xref= "p1.1.m1.1.15.1.1.cmml" > </mo>
<mrow id= "p1.1.m1.1.15.1.2" xref= "p1.1.m1.1.15.1.cmml" >
<mo stretchy= "false" id= "p1.1.m1.1.2" xref= "p1.1.m1.1.15.1.cmml" > (</mo>
<mi id= "p1.1.m1.1.3" xref= "p1.1.m1.1.3.cmml" > P</mi>
<mo stretchy= "false" id= "p1.1.m1.1.4" xref= "p1.1.m1.1.15.1.cmml" > )</mo>
</mrow>
</mrow>
<mo id= "p1.1.m1.1.5" xref= "p1.1.m1.1.5.cmml" > =</mo>
<mrow id= "p1.1.m1.1.15.2" xref= "p1.1.m1.1.15.2.cmml" >
<mrow id= "p1.1.m1.1.15.2.1" xref= "p1.1.m1.1.15.2.1.cmml" >
<mi id= "p1.1.m1.1.6" xref= "p1.1.m1.1.6.cmml" > K</mi>
<mo id= "p1.1.m1.1.15.2.1.1" xref= "p1.1.m1.1.15.2.1.1.cmml" > </mo>
<mrow id= "p1.1.m1.1.15.2.1.2" xref= "p1.1.m1.1.15.2.1.2.1.cmml" >
<mo stretchy= "false" id= "p1.1.m1.1.7" xref= "p1.1.m1.1.15.2.1.2.1.cmml" > (</mo>
<mi id= "p1.1.m1.1.8" xref= "p1.1.m1.1.8.cmml" > P</mi>
<mo id= "p1.1.m1.1.9" xref= "p1.1.m1.1.15.2.1.2.1.cmml" > ,</mo>
<mstyle displaystyle= "true" id= "p1.1.m1.1.10" xref= "p1.1.m1.1.10.cmml" >
<mfrac id= "p1.1.m1.1.10a" xref= "p1.1.m1.1.10.cmml" >
<mn id= "p1.1.m1.1.10.2" xref= "p1.1.m1.1.10.2.cmml" > 1</mn>
<mi id= "p1.1.m1.1.10.3" xref= "p1.1.m1.1.10.3.cmml" > N</mi>
</mfrac>
</mstyle>
<mo stretchy= "false" id= "p1.1.m1.1.11" xref= "p1.1.m1.1.15.2.1.2.1.cmml" > )</mo>
</mrow>
</mrow>
<mo id= "p1.1.m1.1.12" xref= "p1.1.m1.1.12.cmml" > -</mo>
<mrow id= "p1.1.m1.1.15.2.2" xref= "p1.1.m1.1.15.2.2.cmml" >
<mi id= "p1.1.m1.1.13" xref= "p1.1.m1.1.13.cmml" > ln</mi>
<mo id= "p1.1.m1.1.15.2.2a" xref= "p1.1.m1.1.15.2.2.cmml" > </mo>
<mi id= "p1.1.m1.1.14" xref= "p1.1.m1.1.14.cmml" > N</mi>
</mrow>
</mrow>
</mrow>
<annotation-xml encoding= "MathML-Content" id= "p1.1.m1.1b" >
<apply id= "p1.1.m1.1.15.cmml" xref= "p1.1.m1.1.15" >
<eq id= "p1.1.m1.1.5.cmml" xref= "p1.1.m1.1.5" />
<apply id= "p1.1.m1.1.15.1.cmml" xref= "p1.1.m1.1.15.1" >
<times id= "p1.1.m1.1.15.1.1.cmml" xref= "p1.1.m1.1.15.1.1" />
<ci id= "p1.1.m1.1.1.cmml" xref= "p1.1.m1.1.1" > 𝐼</ci>
<ci id= "p1.1.m1.1.3.cmml" xref= "p1.1.m1.1.3" > 𝑃</ci>
</apply>
<apply id= "p1.1.m1.1.15.2.cmml" xref= "p1.1.m1.1.15.2" >
<minus id= "p1.1.m1.1.12.cmml" xref= "p1.1.m1.1.12" />
<apply id= "p1.1.m1.1.15.2.1.cmml" xref= "p1.1.m1.1.15.2.1" >
<times id= "p1.1.m1.1.15.2.1.1.cmml" xref= "p1.1.m1.1.15.2.1.1" />
<ci id= "p1.1.m1.1.6.cmml" xref= "p1.1.m1.1.6" > 𝐾</ci>
<interval closure= "open" id= "p1.1.m1.1.15.2.1.2.1.cmml" xref= "p1.1.m1.1.15.2.1.2" >
<ci id= "p1.1.m1.1.8.cmml" xref= "p1.1.m1.1.8" > 𝑃</ci>
<apply id= "p1.1.m1.1.10.cmml" xref= "p1.1.m1.1.10" >
<divide id= "p1.1.m1.1.10.1.cmml" xref= "p1.1.m1.1.10" />
<cn type= "integer" id= "p1.1.m1.1.10.2.cmml" xref= "p1.1.m1.1.10.2" > 1</cn>
<ci id= "p1.1.m1.1.10.3.cmml" xref= "p1.1.m1.1.10.3" > 𝑁</ci>
</apply>
</interval>
</apply>
<apply id= "p1.1.m1.1.15.2.2.cmml" xref= "p1.1.m1.1.15.2.2" >
<ln id= "p1.1.m1.1.13.cmml" xref= "p1.1.m1.1.13" />
<ci id= "p1.1.m1.1.14.cmml" xref= "p1.1.m1.1.14" > 𝑁</ci>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding= "application/x-tex" id= "p1.1.m1.1c" > {\displaystyle{\displaystyle I(P)=K(P,\frac{1}{N})-\ln N}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering Ausklappen MathML (540 B / 242 B) :
I ( P ) = K ( P , 1 N ) − ln N <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><mi> I</mi><mo stretchy= "false" > (</mo><mi> P</mi><mo stretchy= "false" > )</mo><mo> =</mo><mi> K</mi><mo stretchy= "false" > (</mo><mi> P</mi><mo> ,</mo><mrow data-mjx-texclass= "ORD" ><mfrac><mrow data-mjx-texclass= "ORD" ><mn> 1</mn></mrow><mrow data-mjx-texclass= "ORD" ><mi> N</mi></mrow></mfrac></mrow><mo stretchy= "false" > )</mo><mo> − </mo><mi> ln</mi><mo> ⁡ </mo><mi> N</mi></mstyle></mrow></math>
Translations to Computer Algebra Systems Translation to Maple Translation to Mathematica Ausklappen In Mathematica:
Similar pages Calculated based on the variables occurring on the entire Informationsmaße page
Identifiers MathML observations 0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results