Distribution and Randomness of the Numbers in √2

Epimaco A. Cabanlit, Jr.* and Bethany Love E. Bingco

Abstract

This study investigated the distribution and randomness of numbers in square root 2. Rstudio was used in extracting the square root of 2 up to 1,000 digits. The Chi-square test is used for testing the uniformity of the numbers, and the runs test is used for testing the randomness of the numbers. Results show that the distributions of the generated numbers for n = 100 and for n = 1,000 are uniform. The sequence of numbers generated for n = 100 and n = 1,000 appears to be random.

Keywords

distribution; randomness; irrational numbers; chi-square goodness of fit test; runs test.

Cite This Article

Cabanlit, E. A. Jr., Bingco, B. L. E. (2022). Distribution and Randomness of the Numbers in √2. International Journal of Scientific Advances (IJSCIA), Volume 3| Issue 4: Jul-Aug 2022, Pages 588-590, URL: https://www.ijscia.com/wp-content/uploads/2022/08/Volume3-Issue4-Jul-Aug-No.313-588-590.pdf

Volume 3 | Issue 4: Jul-Aug 2022