Calculus Pdf 170110 | Calculus Of Variations

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File: Calculus Pdf 170110 | Calculus Of Variations

CALCULUS OF VARIATIONS In calculus, one studies min-max problems in which one looks for a number or for a point that minimizes (or maximizes) some quantity. The calculus of variations ...

Filetype PDF | Posted on 26 Jan 2023 | 2 years ago

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...Calculus of variations in one studies min max problems which looks for a number or point that minimizes maximizes some quantity the is about looking not but rather function example given two points x y and nd shortest curve graph joining r with makes arclength z p l ydx as small possible here denotes dy pdx q if we let s denote then ds dx more generally any c can look general minimum might exist however does it has to satisfy dierential equation called euler lagrange solve exists theorem suppose subject boundary conditions solution d notation important understand distinction between note three variables usual its partials respect those composed variable namely derivative written dl thus be proof consider u vanishes on endpoints also satises so every f at fact calculate follows su dsl simply ldu yu integrating second expression by parts gives last since udx have shown this must hold all functions vanish hence...

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Category: Uncategorized / Uncategorized
Posted on: 26 Jan 2023 | 2 years ago
Tag: download pdf, calculus, variations,
Filetype: PDF
File size: 0.16 MB
Views: 91x
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