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Turns out complex numbers are useful after all!

When going from the real axis to the complex plane, we sometimes run into trouble that functions become "multivalued".

In this lecture, we discuss how to evaluate complex valued signals with complex valued signals. This lecture is adapted from the ...

Starting with an exponential solution to a linear ordinary differential equation I transform the solution into a real valued solution of ...

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If so we want to give the result that if any arbitrary complex value function if this is equal to a plus b i then the limit of real part is ...

First let's look at the definition of Holomorphic function. Given a complex-valued function f of a single complex variable, the ...

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When the roots of a function are complex, the quadratic function has a graph that doesn't intersect the x-axis as shown below.

We can use "phase plots" to visualize functions 𝑓 : ℂ → ℂ. Thanks to @rreusser for the phase plotting code at ...

Welcome back MechanicaLEi, did you know that all elementary functions like polynomials, exponential functions, trigonometric ...

You can apply all methods you learn to find Taylor series of real functions to their context counterparts in this field will encounter ...

In this video we do 8 examples where we test complex functions for complex differentiability with the Cauchy-Riemann Equations.

In this short tutorial video, I demonstrate how to use MATLAB to calculate the complex-valued amplitude spectrum of a more or ...

Functions of complex variable and analytic function https://creativecommons.org/licenses/by-nc/4.0/

By Zicheng This sections cover the basics of complex differentiability along with a derivation of the Cauchy-Riemann equations.

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Subject : Mathematics Course Name : Measure and Integration 🌟 Welcome to Swayam Prabha! 🌟 Description: 🌐 Welcome to ...