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Krystifer's Projects

cauchy_functionsequence icon cauchy_functionsequence

Given the metric space C([-1,1]) (continuous functions on the closed interval [-1,1]) with the norm of the maximum. This code checks with the help of a color map, if a given function sequence is or not a Cauchy sequence in C([-1,1]).

functions-in-l2-in-terms-of-the-hermite-basis icon functions-in-l2-in-terms-of-the-hermite-basis

The sequence in L2 (R) of Hermite polynomials can be orthonormalized, this constitutes a basis for the L2 space, then, in analogy with the n-dimensional case, any function f can be approximated by a linear combination of this sequence. This code graphs the approximation of various functions in terms of the 'Hermite base' at L2 (R).

game_of_life icon game_of_life

This repository presents a basic introduction to the amazing world of celular automata, being The Game of Life one famous example.

laplace-equation icon laplace-equation

This code solves the Laplace equation for potentials in internal regions with boundary conditions using numerical methods. Each block of code is explained step by step.

sphere-packing icon sphere-packing

Hard drives make up a system of many particles, so we can approach the dynamics from a statistical point of view. The following model is based on the game of stones.

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