On March 14, every year, the world celebrates an official International Day dedicated to Maths called the ‘International Day ...

A potted scarlet monkeyflower would die within a few days without water. But multiple natural populations of the species ...

The Central Board of Secondary Education (CBSE) conducted the Class 12 Mathematics exam on Monday (March 9). The exam was held from 10.30 am to 1.30 pm for CBSE students across India. Students and ...

Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...

It is shown that the new formula for the field theory Poisson brackets arise naturally in the extension of the formal variational calculus incorporating divergences. The linear spaces of local ...

Microelectromechanical systems (MEMS) are pivotal in diverse fields such as telecommunications, healthcare, and aerospace. A critical challenge in MEMS devices is accurately determining the pull-in ...

ABSTRACT: This paper introduces a new evolutionary system which is uniquely suitable for the description of nonconservative systems in field theories, including quantum mechanics, but is not limited ...

Abstract: This paper proposes a novel nonlinear model predictive control (NMPC) method based on geometric variational calculus for high-dynamic and complex motion ...

Calculus of variations is the collection of methods and techniques used to solve/understand a class of minimization problems for functionals. \footnote{A functional is a function of functions.} ...