## Computational Neuroscience

Computational neuroscience: neuron and network simulation

# Neuron

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.

## 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.

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
• Primality Test
• Find next Prime
• Inverse function
• Solver for 1 equation
• Solver for multiple equations
###### -GitHub repository:

Modular Arithmetic Source Code

###### -Article

Modular Arithmetic Article