以下の四段階技術革新(Four-stage Innovation)史観のうち「大数学者や大物理学者の時代」について掘り下げるシリーズです。 数秘術師や魔術師の時代(イタリア・ルネサンス期~近世) 大数学者や大物理学者の時代(大航海時代~1848年革命の頃) 統計学者と母集団推定 ...

Calculus of variations is used very often in physics, but often it is vibes based in order to derive a formula in a lecture. The purpose of these notes is to introduce the formalism of variational ...

Calculus of variations is used to derive a mathematical model for a single-link flexible manipulator. The solutions of the resulting characteristic equation are the natural frequencies of the beam.

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

Applied mathematics is a dynamic and interdisciplinary field that develops and utilises mathematical methods to resolve complex problems in science, engineering, finance and beyond. It encompasses a ...

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 ...