THE ARTICLE LIBRARY
All stories.
Ideas and explainers from across SenseCentral.
basic 3 min read
Line Integral
Line integrals (also referred to as path or curvilinear integrals) extend the concept of simple integrals (used to find areas of flat, two-dimensional surfaces) to integrals that…
basic 1 min read
Cauchy- Riemann equations
Let (1) where (2) so (3) The total derivative of with respect to is then (4) (5) In terms of and , (5) becomes…
basic 4 min read
Analytic Functions
Analytic Functions are defined as per the converging series; that revolves around a particular variable x for which the series has…
basic 3 min read
Green’s theorem
The idea behind Green’s theorem represents the circulation of FF around CC. If FF were the velocity field of water flow, for example, this integral would…
basic 4 min read
Gradient of Vector Calculus
The gradient is a fancy word for derivative, or the rate of change of a function. It’s a vector (a direction to…
basic 1 min read
Cayley-Hamilton Theorem
Given (1) (2) then (3) where is the identity matrix. Cayley verified this identity for and 3 and postulated that it was true…
