Given a particle in Euclidean space, a central force is a force that points toward or away from the origin and depends only on the particle’s distance from the origin. If the particle’s position at ...

Abstract: In edge-fog computing networks, it is very crucial to ensure that group keys are secure and reliable. In recent years, there has been much interest in group key updating schemes based on ...

Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and ...

This video explains the differentiation rule or equation and notation for inverse functions (dx dy), where the theorem and formula are commonly taught in class 12 maths. This topic is essential for ...

Abstract: Eddy current displacement sensor (ECDS) is a common shaft displacement measuring device for various motors. Its output characteristic is partly linear, while the whole is non-linear. This ...

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of ...

The course gives an introduction to smooth manifolds. It covers tangent bundles, vector fields and integral curves (ordinary differential equations), Lie groups, differential forms, and integration.

The course gives an introduction to smooth manifolds. It covers tangent bundles, vector fields and integral curves (ordinary differential equations), Lie groups, differential forms, and integration.

This video explains the differentiation of inverse trig functions using trig identities, which is commonly taught in class 12 maths. The equations for the derivatives of the inverse of 6 trig ...

The calculus of variations has a long history of interaction with other branches of mathematics, such as geometry and differential equations, and with physics, particularly mechanics. More recently, ...