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13-24

information content

URNurn:iec:std:iec:80000-13:2025-02:::13-24

https://metanorma.github.io/isq-smart/quantities/part-13/t13-24
urn:iec:std:iec:80000-13:2025-02:::13-24

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-13:ed-2008:en:item:13-24

IEC

urn:iec:std:iec:80000-13:2025-02:::item:13-24

Designations

ENinformation content

FRquantité d'information

Symbol

I (x)

Notation systems

Rendered

I (x)

AsciiMath

I(x)

LaTeX

I ( x )

Definition

$I (x)$ +

$= l b \frac{1}{p} (x) Sh$ +

$= l g \frac{1}{p} (x) Hart$ +

$= \frac{\ln 1}{p} (x) nat$

where $p (x)$ is the probability of event $x$

$I (x)$ +

$= l b \frac{1}{p} (x) Sh$ +

$= l g \frac{1}{p} (x) Hart$ +

$= \frac{\ln 1}{p} (x) nat$

où $p (x)$ est la probabilité de l'événement $x$

Units

S h

shannon

View related quantities →

H a r t

hartley

View related quantities →

n a t

natural unit of information

View related quantities →

Notes

One shannon is the quantity value when the argument is equal to two.

$1 Sh \approx 0, 693 unitsml(nat) \approx 0, 301 Hart$

One hartley is the quantity value when the argument is equal to ten.

$1 Hart \approx 3, 322 Sh \approx 2, 303 unitsml(nat)$

One natural unit of information is the quantity value when the argument is equal to $e$ , Euler's number.

$1 unitsml(nat) \approx 1, 433 Sh \approx 0, 434 Hart$

See IEC 60050-171,droploc%locality:item="171-07-14".

Un shannon est la valeur de la grandeur lorsque l'argument est égal à deux.

$1 Sh \approx 0, 693 unitsml(nat) \approx 0, 301 Hart$

Un hartley est la valeur de la grandeur lorsque l'argument est égal à dix.

$1 Hart \approx 3, 322 Sh \approx 2, 303 unitsml(nat)$

Une unité naturelle d'information est la valeur de la grandeur lorsque l'argument est égal à $e$ , nombre d'Euler.

$1 unitsml(nat) \approx 1, 433 Sh \approx 0, 434 Hart$

Voir l'IEC 60050-171,droploc%locality:item="171-07-14".

Referenced by

transinformation content, mutual information

Concept HierarchyPendrill (2024)

1dimensionless quantitiesLevel 0 · Kind

Broader concepts

◇ dimensionless quantities

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t13-24

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	13-24
skosxl:prefLabel	"information content"@en
skosxl:altLabel	"I(x)"@en
skos:definition	stem:[I(x)] + stem:[= lb 1/p(x) " Sh"] + stem:[= lg 1/p(x) " Hart"] + stem:[= ln 1/p(x) " nat"] where stem:[p(x)] is th…
skos:note	One shannon is the quantity value when the argument is equal to two. stem:[1 " Sh" ~~ 0,693 "unitsml(nat)" ~~ 0,301 " H…
isq:hasUnit	Sh (shannon)Hart (hartley)nat (natural unit of information)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-13

Related Entities

isq:QuantityShape isq:part-13 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry

Definition

Units

Notes

Referenced by

Broader concepts

Ontology isq:Quantitysmart:TermEntry

Class Hierarchy

Instance IRI

Properties

Related Entities

Ontology
isq:Quantity smart:TermEntry