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...
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...
Multiplication principle and addition principle

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...
On product representations of squares

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

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...

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...
Multiplication principle and addition principle

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...
On product representations of squares

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

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...
How Many Points are There?

Definition of Points, Lines and Shapes in Geometry

Definition of points, lines and shapes in geometry:Point: A point is the fundamental element of geometry. If we put the tip of a pencil on a...
Chinese Translation-Petition

202 steps – Worldviews limit perspective

Our entire universe in just 202 steps. Look at those numbers. As you scroll through them, know this, we started with the smallest meaningful...