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math.GM
This is an
arXiv
category tag for "general mathematics".
Volume of Simplices
How to compute the volume of a simplex using the Cayley-Menger determinant, and a higher dimensional Pythagorean theorem
Willie WY Wong
2020-07-07
Last updated on
2025-04-21
11 min read
expository
Logical Formulae
Since the COVID-19 crisis and the university moving to online instruction, I've spent too much time programming WeBWorK assignments. …
Willie WY Wong
2020-04-19
Last updated on
2025-04-21
2 min read
mathematical diversions
A Criterion for Real Roots
When does a polynomial with real coefficients have only real roots? Here's one way to determine it.
Willie WY Wong
2020-02-05
Last updated on
2025-04-21
4 min read
expository
You are 23 times more likely to crash
Driving down the highway in upstate Michigan yesterday, I saw a State Police billboard that states (I paraphrase) Drivers who text are …
Willie WY Wong
2019-12-29
Last updated on
2025-04-21
7 min read
expository
A Tangent Identity
Here's a slightly non-obvious relation between some angles, that I ran into accidentally. Claim: (angles below given in degrees) \[ …
Willie WY Wong
2019-12-12
Last updated on
2025-04-21
1 min read
mathematical diversions
An Implicit Assumption about Expectation Values
A short note about an implicit assumption behind the notion of expectation values, and how it relates to economics applications.
Willie WY Wong
2019-12-09
Last updated on
2025-04-21
7 min read
mathematical diversions
A Better Estimate of Kempner's Series
The Kempner series recently regained some notoriety due to a Saturday Morning Breakfast Cereal comic (the last panel). The observation …
Willie WY Wong
2016-11-10
Last updated on
2025-04-21
3 min read
expository
Mariş's Theorem
We describe a theorem due to Mihai Mariş concerning the symmetries of ground states.
Willie WY Wong
2012-02-29
Last updated on
2025-04-21
13 min read
expository
Repeating Decimals
When does the decimal expansion of a number end with one digit repeated?
Willie WY Wong
2010-11-05
Last updated on
2025-04-21
3 min read
mathematical diversions
Irrationality of a common constant
We give a proof of the irrationality of π.
Willie WY Wong
2009-11-12
Last updated on
2025-04-21
5 min read
expository
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