Solving a system of Congruences
If you divide \(x\) by \(5\) you obtain a remainder of \(2\). Divide it by \(3\) you obtain a remainder of \(1\). Divide it by \(7\) you obtain a remainder o...
Recent posts
Wilson’s Theorem
Wilson’s Theorem provides another way to find prime numbers. Its proof is surprisingly short and elegant.
Infinite Descent and Vieta’s Formulas
Let \(a\) and \(b\) be positive integers such that \(ab + 1\) divides \(a^2 + b^2\). Show that \(\frac{a^2 + b^2}{ab + 1}\) is the square of an integer.
Third Fundamental Form and How to Find it
In this post, we attempt to relate the Third Fundamental Form with the First and Second Fundamental Form .
An Easy and Brief Introduction to Bose Gas and Fermi Gas
This post is meant to highlight the physical interpretation and results for Bose Gas and Fermi Gas. The level of math is tame to suit audiences with less mat...