What is the Calculus of Variations? Many problems involve finding a function that maximizes or minimizes an integral expression. One example is finding the curve giving the shortest distance between ...

What is the Calculus of Variations? Many problems involve finding a function that maximizes or minimizes an integral expression. One example is finding the curve giving the shortest distance between ...

The 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 ...

Nature Research Intelligence Topics Topic summaries Mathematical Sciences Applied Mathematics Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory Calculus of variations ...

Calculus of variations establishes a framework to determine the extrema of functionals—mappings from functions to real numbers—which has been pivotal in elucidating natural principles such as the ...

In physics, according to the variation principle, the path taken by a particle between two points is an extremum of the action integral. This principle provides information about several symmetries of ...

In this paper, we focus on a specific problem related to the calculus of variations, which deals with finding the Lagrangian function that, when used in the Euler-Lagrange equation, produces a given ...

From 27 January to 2 February 2020 an international conference will be held at SISSA to celebrate the occasion of Gianni Dal Maso's 65 th Birthday. The workshop will focus on the most recent ...

Abstract: The presence of speckle noise in medical ultrasound images not only reduces the image quality and affects the diagnosis results, but also brings difficulties to the subsequent processing ...