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...
Chinese Translation-Petition

Chinese Translation-Petition

This is a partial translation of the homepage, Petition, June 2023. 請願我們領先的科學協會:“鼓勵新思維。” 如果大爆炸停滯不前,pi (π) 是否會繁榮發展?請幫助我們向我們的主要學術團體請願。 † 布魯斯·E·坎伯 (Bruce E. Camber) Pi (π) 是最古老、最常用和最不為人所知的工具,可以讓我們了解宇宙和我們的思想。 它永無止境、永不重複的數字教會了我們連續性。 它從數字到形狀的轉換教會了我們對稱性。 而且,它從球體到四面體的轉換教會了我們基本的和諧,這種和諧存在於所有事物中,無處不在。 這三個功能——連續性-對稱性-和諧性——共同定義了時空的完美狀態。 詹姆斯·韋伯太空望遠鏡 (JWST)...
IGCSE MATHEMATICS 0580 REVISION [UPDATED]

IGCSE MATHEMATICS 0580 REVISION [UPDATED]

FOR May/June 2024 EXAMINATION TOPICAL // PER OBJECTIVE  NOTES INCLUDED ANSWER KEY/MARKING SCHEME SUBSCRIBE TO GET A COPY Samples:
Skip Counting with Talented and Gifted

Skip Counting with Talented and Gifted

After children learn the basics of counting and number recognition, their next step is to master skip counting. This new skill becomes the foundation...
Positive factors of 20

How To Find The Factors Of 20: A Simple Way

The factors of 20 are the numbers 1, 2, 4, 5, 10, 20, -1, -2, -4, -5, -10, and -20. As you can see, the...
On product representations of squares

AI Mathematical Olympiad – Progress Prize Competition now open

The first progress prize competition for the AI Mathematical Olympiad has now launched. (Disclosure: I am on the advisory committee for the prize.)...
Why did you round 3560 to 3500 instead of 3600? – Math with Bad Drawings

Why did you round 3560 to 3500 instead of 3600? – Math with Bad Drawings

Not long ago, in an email relayed by his father, a fourth-grade reader took issue with one of my calculations in Math with Bad...