Detailed description of the equation of cat motion. Credit: American Journal of Physics With this study, Biasi aims to simplify physics for the general public. The idea is to show how fundamental laws ...

Hamilton also developed a compact notation to make his equations concise and elegant. He used a Greek letter to denote a quaternion or vector, but today, following Heaviside, it is common to use a ...

Vector Calculus ... linear differential equations: second order linear differential equations and solutions involving special functions; complex analysis: Cauchy-Riemann conditions, Cauchy's ...

As an Amazon Associate, we earn from qualifying purchases. TweakTown may also earn commissions from other affiliate partners at no extra cost to you. After what feels like an eternity (it's only ...

Abstract: Laws of physics remain unchanged under translational motion of coordinates. To guarantee the above postulate in electromagnetics, Lorenz gauge eliminates the additional terms generated in ...

UPSC Maths Optional Syllabus 2023: Maths is one of the most popular optional subjects among IAS aspirants. As a general rule of thumb, the mathematics optional subject should be the subject of ...

Abstract: In this paper, we present a tensorial (i.e., coordinate-free) derivation of the equations of motion of a formation consisting of N spacecraft each modeled as a rigid body. Specifically, ...

This equation, developed by renowned astronomer Johannes Kepler in the early 17th century, has unlocked the mysteries of celestial mechanics and paved the way for our comprehension of the motion of ...

To solve this computational complexity issue, the amplitude–phase motion ... equation, active power equation, and reactive power equation are listed as the following equation, in which both components ...

Quantities such as the gradient displacement tensor and the traction vector are reviewed. It is showed the advantage of the variational method as a technique which allows to obtain the equations of ...