Computational Neuroscience

Computational neuroscience: neuron and network simulation


The neuron is the most common component in our brain,  we have nearly 86 billion neurons and 1000 trillion synaptic connections, estimates to a computer with a 1 trillion bit per seconds processor

Computational Neuroscience

Is the field of study in which we measure and simulate the neurons process. Our brain is a complex machine and its behavior is non-linear.

We need previous knowledge of electronics, ODE’s, neurobiology, chemistry, and programming.

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Dynamic Systems

N-Order Linear Systems

I have done a project for my math class where we analyze the linear systems. We have classified the first and second-order linear systems and give a general formula for an n-linear system. We have used algebra notation and we have encountered with the companion matrix power to the n problem.

The n-linear systems are used widely in finance for loans, interests, etc.

PDF download: N-LinearDynamicSystem

GitHub repository: DynamicSystem


Modular Arithmetic Library

Modular Arithmetic Library in C++

This library provides the basics of modular arithmetic operations:

  • Great Common Divisor (GCD)
  • Least Common Multiple (LCM)
  • Bezout solver
  • Decomposition number algorithm
  • Euler’s totient function
  • a^{b}(mod\:m)
  • Primality Test
  • Find next Prime
  • Inverse function
  • Solver for 1 equation
  • Solver for multiple equations
-GitHub repository:

Modular Arithmetic Source Code


Modular Arithmetic Article

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