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Random Number Generators

Random Number Generators

Based upon specific mathematical algorithms

Which are repeatable and sequential

Random

Truly Random

Exhibiting true randomness

Pseudonym

Appearance of randomness but having a specific repeatable pattern

Quasi-random

Having a set of non-random numbers in a randomized order

Problems

Difficult to isolate

Often need to replace current generator

Require

Knowledge of current generator

Sometimes in-depth understanding of random number generators themselves

Large scale tests cause most problems

Needing sometimes millions or billions of random numbers

Desirable Properties

When performing Monte Carlo Simulations

Attributes of each particle should be independent of those attributes of any other particle

Fill the entire attribute space in a manner which is consistent with the physics

Random Number Cycle

Basis

Sequence of pseudonym integers

Some exceptions

Integers (Fixed)

Manipulated arithmetically to yield floating point (real)

Can be presented in either Integer or Real numbers

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