Mathematics

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Limit of a Function at a Point

Calculate the limit of a function at a given point

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Tangent Line and Derivative

Calculate the tangent line and the derivative of a function

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Numerical Integration

Calculate the integral of a function numerically

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Gauss-Jordan Method

Gauss-Jordan Method for matrix inversion

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Newton-Raphson

Method for finding roots of a function

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Fourier Series

Fourier Series development for different functions

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Discrete Fourier Transform

Frequency calculation for sinusoidal series using Discrete Fourier Transform

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Cantor Set

A fractal derived from a segment of length 1.

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Koch Snowflake

A fractal derived from an equilateral triangle.

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Sierpinski Triangle

A fractal derived from an equilateral triangle, where the area is reduced with each iteration.

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Dynamic Maps and Bifurcations

Tent Map, Logistic Map, and Bifurcations.

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Complex Fractals

The Mandelbrot and Julia sets are fractals generated through iterations of complex functions.

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Dynamic Systems

Calculation of fixed points and phase space

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