Gauss's principle of least constraint (Q1477313)

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variational formulation of classical mechanics

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Language	Label	Description	Also known as
English	Gauss's principle of least constraint	variational formulation of classical mechanics

Statements

instance of

principle

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named after

Carl Friedrich Gauss

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discoverer or inventor

Carl Friedrich Gauss

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time of discovery or invention

1829

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defining formula

${\displaystyle Z=\sum _{i=1}^{n}m_{i}^{-1}\left|m_{i}{\ddot {\mathbf {r} }}_{i}-\mathbf {F} _{i}\right|^{2}}$

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in defining formula

${\displaystyle m_{i}}$

symbol represents

inertial mass

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${\displaystyle \mathbf {F} _{i}}$

symbol represents

force

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${\displaystyle {\ddot {\mathbb {r} }}_{i}}$

symbol represents

acceleration

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${\displaystyle |-|}$

symbol represents

vector length

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${\displaystyle ^{2}}$

symbol represents

square

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described by source

Great Soviet Encyclopedia (1926–1947)

statement is subject of

Q105186725

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Identifiers

Encyclopedia of Mathematics article ID

Gauss_principle

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Freebase ID

/m/0drb4b

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Microsoft Academic ID

2779078194

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Wolfram Language entity code

Entity["PhysicalEffect", "GausssPrincipleOfLeastConstraint"]

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World of Physics ID

GausssPrincipleofLeastConstraint

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Sitelinks

Wikipedia(7 entries)

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• dewiki Prinzip des kleinsten Zwanges
• enwiki Gauss's principle of least constraint
• hewiki עקרון האילוץ המינימלי של גאוס
• itwiki Principio di minimo vincolo
• kywiki Гаусс принциби
• ruwiki Принцип наименьшего принуждения
• uzwiki Gaussning eng kam cheklash prinsipi

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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