One develops a new mathematical tool, the complex (min, +)-analysis which permits to define a new variational calculus analogous to the classical one (Euler-Lagrange and Hamilton Jacobi equations), ...

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 ...

Space-charge limited current (SCLC) is easy to calculate theoretically for one-dimensional (1D) planar geometry using Poisson’s equation. But 1D cylindrical and spherical geometries require ...

Quantum calculus is the modern name for the investigation of calculus without limits. Quantum calculus, or q-calculus, began with F.H. Jackson in the early twentieth century, but this kind of calculus ...

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: Invariant conditions for conformable fractional problems of the calculus of variations under the presence of external forces in the dynamics are studied. Depending on the type of ...

The foundations of a variational calculus on fibered supermanifolds are outlined, giving applications to the formulation of superspace field theories. Utiyama theorems and conservation laws related to ...

Abstract: Image mosaic combines two or more images. It has found many applications in computer vision, image processing, and computer graphics. A common goal of the problem is to join two or more ...