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Matlab Trapezoidal Rule

Trapezoidal rule is the first of the Newton-Cotes closed integration formulas. Geometrically, you should already know how to calculate area of trapezoid.

Same applies here.

We divide area under our function into (equal segments, which means that height (width in this case, because trapezoids are on their sides on x axis) of trapezoids are equal) trapezoids, and we sum up all of the…

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Matlab Fourier Analysis

Difference between FFT & DFT

Discrete Fourier Transform (DFT)

Fast Fourier Transform (FFT)

Difference between FFT and DFT

FFT is algorithm which calculates DFT. This is the difference (if you can call it that way). Yup.

FFT algorithm requires nlog2n operations. What this means is that for large number of n – FFT algorithm is really fast (you could derive your own algorithm from first…

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Passing Functions as Parameters to another Function

Passing Functions as Parameters to another Function

You could develop custom function for every new equation but there is a better alternative – design a generic function and pass your particular equation as an argument. Sounds great, right?  In Matlab these functions have special name: function functions.

Before we describe how they work let me first introduce you to anonymous functions.

Anonymous Functions

In short, when you create…

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Cauchy's Residue Theorem

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Residue Laurent Series

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Matlab Animation

There is a two simple way to animate plot in Matlab. First is by standard plot function – you can employ it in a way that the animation looks smooth.

Second, there are special functions getframe and movie, which allows us to capture sequence of plots and then play them. Let’s look at an example:

So, we have matlab function file named kp_animation, with return value M and input arguments –…

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Matlab M-Files

M-Files are files with .m extension, which can be script or function file. Nothing special, its just a series of statements that can be run at once.

In order to create M-File you should first open editor by clicking ctrl+n or by clicking File->New->Script. In fact, you will see that (if you create with second method) there are other choices like Function, Class, etc. But these are just…

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Laurent Series

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Maclaurin 6

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Maclaurin 6 https://www.instagram.com/p/B52S7ecJpch/?igshid=ri7m73lzv62p

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#taylorseries #maclaurinseries

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#cauchyintegral #cauchyintegralextension