## Pythagoras Theorem

What is the Pythagoras theorem? It is $a^2 + b^2 = c^2$. Here, $a$, $b$ and $c$ are the lengths of a right triangle. Note that $c$ is the hypotenuse of the…

## Discovery of the Logarithm by John Napier

Here is a short series of videos I made about the discovery of the Logarithm. John Napier is credited with the discovery of the logarithm, and Leonhard Euler developed the logarithm used today. The…

Objective of this Post The objective of this post is to form (4) in this reference. Partial Derivatives Relating Cartesian Coordinates to Spherical Coordinates Suppose $F(x,y,z) \equiv f(x) g(y) h(z)$. In the previous post, the following…
In this post, I prove that $|xy| = |x||y|$ in which $x$ is a variable for any real number and $y$ is a variable for any real number. This is done by…