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...
Erratum for “An inverse theorem for the Gowers U^{s+1}[N]-norm”
The purpose of this post is to report an erratum to the 2012 paper “An inverse theorem for the Gowers -norm” of Ben...
What’s the opposite of mathematics? – Math with Bad Drawings
A mathematician once sent me a draft of some writing he’d done for a general audience. I liked the ideas. I liked the storytelling....
Line-Segment, Ray and Line | Definition of in Line-segment
Definition of in Line-segment, ray and line geometry:Line Segment:A line segment is a fixed part of a line. It has two end
points. It is...
Upon following the work of Stuart Bevins of Sheffield Hallam University, UK – Worldviews limit perspective
Preface: We need more leaders with clarity of thought. The world needs to break free of limited worldviews and begin to adopt an integrated...
AS LEVEL STATISTICS 1 (PAPER 5)
STATISTICS 1 (2002-2010)
C1 Representation of Data
C2 Permutations and Combinations
C3 Probability
C4 Discrete Random Variables
C5 The Normal Distribution
How to Identify and Analyze Jump Discontinuity in Functions
Jump discontinuity, a term that might seem complex at first glance, holds significant importance in the realm of mathematics, particularly within the study of...