information content (Q735075): Difference between revisions

@@ label / nl / label / nl @@
-Zelfinformatie
+zelfinformatie
@@ label / ja / label / ja @@
-自己情報量
+情報量
@@ label / he / label / he @@
+תכולת מידע
@@ label / hu / label / hu @@
+információs tartalom
@@ label / eo / label / eo @@
+informenhavo
@@ label / sl / label / sl @@
+informacijska vsebina
@@ aliases / zh / 0 / aliases / zh / 0 @@
+信息量
@@ aliases / ja / 0 / aliases / ja / 0 @@
+自己情報量
@@ description / ja / description / ja @@
+確率事象の生起を知ることによって伝えられる情報の尺度
@@ Property / recommended unit of measurement @@
+shannon
@@ Property / recommended unit of measurement: shannon / rank @@
+Normal rank
@@ Property / recommended unit of measurement: shannon / reference @@
+stated in: IEC 80000-13:2008 Quantities and units — Part 13: Information science and technology
section, verse, paragraph, or clause: 13-24.a
@@ Property / recommended unit of measurement @@
+hartley
@@ Property / recommended unit of measurement: hartley / rank @@
+Normal rank
@@ Property / recommended unit of measurement: hartley / reference @@
+stated in: IEC 80000-13:2008 Quantities and units — Part 13: Information science and technology
section, verse, paragraph, or clause: 13-24.b
@@ Property / recommended unit of measurement @@
+nat
@@ Property / recommended unit of measurement: nat / rank @@
+Normal rank
@@ Property / recommended unit of measurement: nat / reference @@
+stated in: IEC 80000-13:2008 Quantities and units — Part 13: Information science and technology
section, verse, paragraph, or clause: 13-24.c
@@ Property / defining formula @@
+ ${\begin{aligned}I(x)&=\operatorname {lb} {\frac {1}{p(x)}}\,\mathrm {Sh} \\&=\lg {\frac {1}{p(x)}}\,\mathrm {Hart} \\&=\ln {\frac {1}{p(x)}}\,\mathrm {nat} \end{aligned}}$ 
\begin{align} I(x) & = \operatorname{lb}{\frac{1}{p(x)}} \, \mathrm{Sh} \\ & = \lg{\frac{1}{p(x)}} \, \mathrm{Hart} \\ & = \ln{\frac{1}{p(x)}} \, \mathrm{nat} \end{align}
+Normal rank
+stated in: IEC 80000-13:2008 Quantities and units — Part 13: Information science and technology
section, verse, paragraph, or clause: 13-24
@@ Property / in defining formula @@
+ $I(x)$ 
I(x)
@@ Property / in defining formula: $I(x)$ / rank @@
+Normal rank
@@ Property / in defining formula: $I(x)$ / qualifier @@
+symbol represents: information content
@@ Property / in defining formula @@
+ $p$ 
p
@@ Property / in defining formula: $p$ / rank @@
+Normal rank
@@ Property / in defining formula: $p$ / qualifier @@
+symbol represents: probability
@@ Property / in defining formula @@
+ $\operatorname {lb}$ 
\operatorname{lb}
@@ Property / in defining formula: $\operatorname {lb}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\operatorname {lb}$ / qualifier @@
+symbol represents: binary logarithm
@@ Property / in defining formula @@
+ $\lg$ 
\lg
@@ Property / in defining formula: $\lg$ / rank @@
+Normal rank
@@ Property / in defining formula: $\lg$ / qualifier @@
+symbol represents: common logarithm
@@ Property / in defining formula @@
+ $\ln$ 
\ln
@@ Property / in defining formula: $\ln$ / rank @@
+Normal rank
@@ Property / in defining formula: $\ln$ / qualifier @@
+symbol represents: natural logarithm
@@ Property / in defining formula @@
+ $\mathrm {Sh}$ 
\mathrm{Sh}
@@ Property / in defining formula: $\mathrm {Sh}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\mathrm {Sh}$ / qualifier @@
+symbol represents: shannon
@@ Property / in defining formula @@
+ $\mathrm {Hart}$ 
\mathrm{Hart}
@@ Property / in defining formula: $\mathrm {Hart}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\mathrm {Hart}$ / qualifier @@
+symbol represents: hartley
@@ Property / in defining formula @@
+ $\mathrm {nat}$ 
\mathrm{nat}
@@ Property / in defining formula: $\mathrm {nat}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\mathrm {nat}$ / qualifier @@
+symbol represents: nat
@@ Property / GND ID @@
+4213883-8
@@ Property / GND ID: 4213883-8 / rank @@
+Normal rank
@@ Property / Zhihu topic ID @@
+19762515
@@ Property / Zhihu topic ID: 19762515 / rank @@
+Normal rank
@@ Property / Zhihu topic ID: 19762515 / qualifier @@
+subject named as: 信息量
@@ Property / maintained by WikiProject @@
+WikiProject Mathematics
@@ Property / maintained by WikiProject: WikiProject Mathematics / rank @@
+Normal rank
@@ links / itwiki / badges / 0 / links / itwiki / badges / 0 @@
+sitelink to redirect

information content (Q735075): Difference between revisions

${\begin{aligned}I(x)&=\operatorname {lb} {\frac {1}{p(x)}}\,\mathrm {Sh} \\&=\lg {\frac {1}{p(x)}}\,\mathrm {Hart} \\&=\ln {\frac {1}{p(x)}}\,\mathrm {nat} \end{aligned}}$

$I(x)$

$p$

$\operatorname {lb}$

$\lg$

$\ln$

$\mathrm {Sh}$

$\mathrm {Hart}$

$\mathrm {nat}$

Latest revision as of 12:34, 28 October 2023

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information content (Q735075): Difference between revisions

I ( x ) = lb ⁡ 1 p ( x ) S h = lg ⁡ 1 p ( x ) H a r t = ln ⁡ 1 p ( x ) n a t {\displaystyle {\begin{aligned}I(x)&=\operatorname {lb} {\frac {1}{p(x)}}\,\mathrm {Sh} \\&=\lg {\frac {1}{p(x)}}\,\mathrm {Hart} \\&=\ln {\frac {1}{p(x)}}\,\mathrm {nat} \end{aligned}}}

I ( x ) {\displaystyle I(x)}

p {\displaystyle p}

lb {\displaystyle \operatorname {lb} }

lg {\displaystyle \lg }

ln {\displaystyle \ln }

S h {\displaystyle \mathrm {Sh} }

H a r t {\displaystyle \mathrm {Hart} }

n a t {\displaystyle \mathrm {nat} }

Latest revision as of 12:34, 28 October 2023

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${\begin{aligned}I(x)&=\operatorname {lb} {\frac {1}{p(x)}}\,\mathrm {Sh} \\&=\lg {\frac {1}{p(x)}}\,\mathrm {Hart} \\&=\ln {\frac {1}{p(x)}}\,\mathrm {nat} \end{aligned}}$

$I(x)$

$p$

$\operatorname {lb}$

$\lg$

$\ln$

$\mathrm {Sh}$

$\mathrm {Hart}$

$\mathrm {nat}$