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Line Integral
Line integrals (also referred to as path or curvilinear integrals) extend the concept of simple integrals (used to find areas of flat,…
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Cauchy- Riemann equations
Let (1) where (2) so (3) The total derivative of with respect to is then (4)(5) In…
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Analytic Functions
Analytic Functions are defined as per the converging series; that revolves around a particular variable x…
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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,…
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Gradient of Vector Calculus
The gradient is a fancy word for derivative, or the rate of change of a function. It’s…
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Cayley-Hamilton Theorem
Given (1)(2) then (3) where is the identity matrix. Cayley verified this identity for and 3 and postulated…
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Matrix Diagonalization
Matrix diagonalization is the process of taking a square matrix and converting it into a special type…