Moment systems are approximations of the Boltzmann equation based on a finite number of velocity-moments of the one-particle marginal.

1 The Boltzmann equation. The Boltzmann equation describes the evolution of the particle density of a rarefied gas. Indeed, the molecules of a gas can be modeled by hard spheres that move according to the laws of classical mechanics.

P = 1/Z * exp(- E/(kB * T)) ,

1. Z is the normalization constant,
2. E is the energy of the state (in joules),
3. kB = 1.38065 * 10^(-23) J/K is the Boltzmann constant,
4. T is the temperature (in kelvins).
5. P is the probability that this state occurs.

Explanation: Back propagation is the transmission of error back through the network to allow weights to be adjusted so that the network can learn. Explanation: Linearly separable problems of interest of neural network researchers because they are the only class of problem that Perceptron can solve successfully.

Maxwell- Boltzmann distribution is the commonly used Fermi Dirac distribution approximation. When the difference between the carrier’s energy and Fermi level is large compared to, the term 1 in the denominator can be neglected.

Explanation: The objective of backpropagation algorithm is to to develop learning algorithm for multilayer feedforward neural network, so that network can be trained to capture the mapping implicitly.

Below are the steps involved in Backpropagation: Step — 1: Forward Propagation. Step — 2: Backward Propagation. Step — 3: Putting all the values together and calculating the updated weight value….How Backpropagation Works?

• two inputs.
• two hidden neurons.
• two output neurons.
• two biases.