Basics
Goldman Sachs loses profit after hits from GreenSky, real estate
Second-quarter profit fell 58% to $1.22 billion, or $3.08 a share, due to steep declines in trading and investment banking and losses related to...
Fundamental Counting Principle
We will introduce the fundamental counting principle with an example. This counting principle is all about choices we might make given many possibilities.
Multiplication principle
Suppose...
A generalized Cauchy-Schwarz inequality via the Gibbs variational formula
Let be a non-empty finite set. If is a random variable taking values in , the Shannon entropy of ...
The Battlestar Galactica Theory of Math Education – Math with Bad Drawings
Last month, as I read Christopher J. Phillips’ brief and engrossing The New Math: A Political History, I found myself reciting the ominous line...
Divide any 3-Digit Number by 99 in 3 seconds
You can divide any 3-digit number by 99 using this trick. What is the trick? Take a look at the examples below showing how...
On product representations of squares
I’ve just uploaded to the arXiv my paper “On product representations of squares“. This short paper answers (in the negative) a (somewhat obscure)...
Math for English Majors – Math with Bad Drawings
My fourth book, coming 9/3/2024!Preorder anywhere, or get a signed copy.
Here’s a question that consumed two years of my life. What if we took...
Measuring the Line Segment | Comparing Line Segments
We will discuss here about measuring the line segment.A line segment is measured by comparing it with a standard line segment and is known...