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What (who) is principle$63958$ - definition
PRINCIPLE OF LEAST LENGTH IN PHYSICS
Maupertuis principle; Maupertius' principle; Maupertius principle; Maupertuis’s principle; Maupertuis' principle
Principle (chemistry)
HISTORICAL CONCEPT OF THE CONSTITUENTS OF A SUBSTANCE
Bitter principle
Principles - historical concept of the constituents of a substance, specifically those that produce a certain quality or effect in the substance, such as a bitter principle, which is any one of the numerous compounds having a bitter taste.
Maupertuis's principle
In classical mechanics, Maupertuis's principle (named after Pierre Louis Maupertuis) states that the path followed by a physical system is the one of least length (with a suitable interpretation of path and length). It is a special case of the more generally stated principle of least action.
Homotopy principle
![The homotopy principle generalizes such results as Smale's proof of [[sphere eversion]].](https://commons.wikimedia.org/wiki/Special:FilePath/MorinSurfaceAsSphere'sInsideVersusOutside.PNG?width=200 "The homotopy principle generalizes such results as Smale's proof of [[sphere eversion]].")
![The [[Whitney–Graustein theorem]] shows that immersions of the circle in the plane satisfy an h-principle, expressed by [[turning number]].](https://commons.wikimedia.org/wiki/Special:FilePath/Winding Number Around Point.svg?width=200 "The [[Whitney–Graustein theorem]] shows that immersions of the circle in the plane satisfy an h-principle, expressed by [[turning number]].")
THE PHENOMENON THAT, FOR CERTAIN PARTIAL DIFFERENTIAL EQUATIONS, THE SPACE OF (HOLONOMIC) SOLUTIONS IS HOMOTOPY-EQUIVALENT TO THE SPACE OF NON-HOLONOMIC SOLUTIONS, WHICH CAN BE DEALT WITH HOMOTOPY-THEORETICALLY
H-principle; Homotopy-principle
In mathematics, the homotopy principle (or h-principle) is a very general way to solve partial differential equations (PDEs), and more generally partial differential relations (PDRs). The h-principle is good for underdetermined PDEs or PDRs, such as the immersion problem, isometric immersion problem, fluid dynamics, and other areas.
Wikipedia
Maupertuis's principle
In classical mechanics, Maupertuis's principle (named after Pierre Louis Maupertuis) states that the path followed by a physical system is the one of least length (with a suitable interpretation of path and length). It is a special case of the more generally stated principle of least action. Using the calculus of variations, it results in an integral equation formulation of the equations of motion for the system.
