introduction Link to heading

  • A random number is a number generated using a large set of numbers and a mathematical algorithm which gives equal probability to all numbers occurring in the specified distribution, which are most commonly produced with the help of a random number generator (Rouse, 2016).
  • It is a number which is generated for, or part of, a set exhibiting statistical randomness, where the statistical randomness is a characteristic where a numeric sequence is said to be statistically random when it contains no recognisable patterns or regularities (WHS, 2021).
  • A random number is a number chosen as if by chance from some specified distribution such that selection of a large set of these numbers reproduces the underlying distribution and almost always, such numbers are also required to be independent, so that there are no correlations between successive numbers (Weisstein, 2023).

random function Link to heading

There is a function to generate random float number (MND, 2023)

The Math.random() static method returns a floating-point, pseudo-random number that’s greater than or equal to 0 and less than 1, with approximately uniform distribution over that range — which you can then scale to your desired range. The implementation selects the initial seed to the random number generation algorithm; it cannot be chosen or reset by the user.

random number $\in [0, 1)$ Link to heading

  • Result
    0.7322
0.7564
0.5447
0.5297
0.0453
0.2310
0.4751
0.9178
0.1715
0.5252
  • Code https://onecompiler.com/javascript/3zqvkr9k2
    // set repetition
N = 10;

// set digit
M = 4

// generate random number
for(var i = 0; i < N; i++) {
  x = Math.random();
  xs = x.toFixed(M)
  console.log(xs);
}

integer random number Link to heading

// set repetition
N = 40;

// set range of integer
imin = 2;
imax = 9;


// create empty array
a = [];

// generate random number
for(var i = 0; i < N; i++) {
  x = Math.random();
  y = x * (imax - imin + 1) + imin;
  z = Math.floor(y);
  a.push(z);
}

console.log(a);

randint in-house function Link to heading

  • Result
    [
  11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14,
  15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16,
  16, 16, 17, 17, 17, 18, 18, 18, 19, 20, 20, 21,
  21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23,
  24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26,
  27, 27, 28, 28, 28, 28, 28, 28, 29, 29, 29, 30,
  30, 30, 31, 31, 31, 31, 31, 32, 32, 33, 33, 33,
  35, 35, 35, 36, 36, 36, 37, 37, 37, 37, 37, 39,
  39, 40, 40, 40
]
[
  25, 26, 12, 22, 25, 33, 21, 28, 16, 40, 13, 16,
  13, 31, 24, 18, 24, 28, 25, 23, 35, 22, 22, 37,
  37, 16, 22, 32, 31, 28, 33, 20, 15, 31, 36, 31,
  29, 26, 30, 37, 29, 31, 37, 15, 15, 23, 13, 15,
  39, 36, 22, 21, 27, 37, 30, 11, 18, 16, 17, 14,
  20, 13, 17, 32, 35, 25, 19, 28, 23, 11, 40, 33,
  24, 15, 17, 26, 16, 15, 29, 26, 28, 16, 24, 16,
  35, 11, 23, 16, 18, 27, 14, 36, 28, 22, 11, 30,
  12, 40, 39, 23
]
  • Code https://onecompiler.com/javascript/3zqvpgq53
    // create randint function
function randint(imin, imax) {
  x = Math.random();
  y = x * (imax - imin + 1) + imin;
  z = Math.floor(y);
  return z;
}

// create randintn
function randintn(imin, imax, N) {
  a = [];
  for(var i = 0; i < N; i++) {
    a.push(randint(imin, imax))
  }
  return a;
}

// create array of integer random numbers
x = randintn(11, 40, 100)
y = [...x];
console.log(y.sort());
console.log(x);

application(s) Link to heading