Calculus of variations and Newton's minimal resistance problem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Calculus of variations and Newton's minimal resistance problem

Calculus of variations vs. Newton's minimal resistance problem

Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers. Newton's Minimal Resistance Problem is a problem of finding a solid of revolution which experiences a minimum resistance when it moves through a homogeneous fluid with constant velocity in the direction of the axis of revolution, named after Isaac Newton, who studied the problem in 1685 and published it in 1687 in his Principia Mathematica.

Similarities between Calculus of variations and Newton's minimal resistance problem

Calculus of variations and Newton's minimal resistance problem have 3 things in common (in Unionpedia): Brachistochrone curve, Euler–Lagrange equation, Isaac Newton.

Brachistochrone curve

In mathematics and physics, a brachistochrone curve, or curve of fastest descent, is the one lying on plane between a point A and a lower point B, where B is not directly below A, on which a bead slides frictionlessly under the influence of a uniform gravitational field to a given end point in the shortest time.

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Euler–Lagrange equation

In the calculus of variations, the Euler–Lagrange equation, Euler's equation, or Lagrange's equation (although the latter name is ambiguous—see disambiguation page), is a second-order partial differential equation whose solutions are the functions for which a given functional is stationary.

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Isaac Newton

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.

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The list above answers the following questions

What Calculus of variations and Newton's minimal resistance problem have in common
What are the similarities between Calculus of variations and Newton's minimal resistance problem

Calculus of variations and Newton's minimal resistance problem Comparison

Calculus of variations has 117 relations, while Newton's minimal resistance problem has 10. As they have in common 3, the Jaccard index is 2.36% = 3 / (117 + 10).

References

This article shows the relationship between Calculus of variations and Newton's minimal resistance problem. To access each article from which the information was extracted, please visit:

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