Gaussian Random Number Generator This form allows you to generate random numbers from a Gaussian distribution (also known as a normal distribution). The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. The form uses a Box-Muller Transform to generate the Gaussian distribution from uniformly distributed numbers.
Step 1: The Numbers Generate random numbers (maximum 10,000) from a Gaussian distribution.
The distribution's mean should be (limits ±1,000,000) and its standard deviation (limits ±1,000,000).
The numbers should have significant digits (minimum 2, maximum 20).
Note that this generator does not guarantee your numbers to have the exact mean and standard deviation of the distribution from which they are taken. To approximate the distribution better, generate more numbers.
Step 2: Display Options Format the numbers in column(s).
You can choose the notation that will be used for your numbers:
Scientific (E) notation [explain this]
Standard decimal notation [to appear]
Step 3: Go![/b ]Be patient! It may take a little while to generate your numbers...
You requested 10 numbers from a Gaussian distribution with mean 0.0, standard deviation 1.0 and using 10 significant digits.
It helps to think of all numbers as "complex numbers": that is, a+b*i. i is an imaginary (unreal) number, always taking the value of the square root of -1.
Complex numbers are split into three categories. Complex numbers are those in which both a and b are not 0. One example is 12+5i.
Another category is real numbers (where b=0). Such numbers are 2, -7, and 13x.
Imaginary numbers is the final category, and in which a=0. Examples of imaginary numbers are i itself, 12i, and the square root of -27.
If we were to find the answer to the square root of -9, we'd have to find 9's square root and multiply it by i. In short, 3i.
The powers of i are as follows: i^0=1, i^1=i, i^2=-1, i^3=-i. The cycle repeats from there, forwards and backwards. i is seldom used outside of quadratic equations, quartic equations, sixth-degree equations, and so on.