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Adam Hrankowski, ADHD
Adam Hrankowski, ADHD

5.7K Followers

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SOH-CAH-TOA: Ravings of a quarantined mathematician
SOH-CAH-TOA: Ravings of a quarantined mathematician

Delve into a captivating collection of mathematical musings, exploring spouse selection, cosmic perspectives, and in this Covid-era compendium.

2020

·
Adam Hrankowski
Adam Hrankowski

Stories

Published in

MathAdam

·Pinned

A Self-Correcting Quadratic Factoring Technique

It shouldn’t work. It does work. Dang! — A student showed me this method for solving quadratic equations. We call it The Stupid Dumb Factoring Method. It produces the same solutions as the textbook method. And it’s easier. It’s just wrong. But in all the right ways. Here’s an example.

Mathematics

3 min read

A Self-Correcting Quadratic Factoring Technique
A Self-Correcting Quadratic Factoring Technique
Mathematics

3 min read


Published in

MathAdam

·Pinned

An Elegant New(ish) Proof

Tom Apostol’s square root of 2 proof is beautiful — This proof was published in 2000 by Tom Apostol. It just might become your new favourite proof that the square root of 2 is irrational. Here’s how it goes. You have a right isosceles triangle, ABC (Fig. 1). Suppose sides AC and BC have integer length. Their ratio will be…

Math

2 min read

An Elegant New(ish) Proof
An Elegant New(ish) Proof
Math

2 min read


Published in

MathAdam

·Pinned

The Square Root of 2 is Irrational

A visual approach — Imagine a rectangle with aspect ratio of √2. Dissect it into a grid of tiny squares: u squares long by v squares wide (Figure 1).

Mathematics

3 min read

The Square Root of 2 is Irrational
The Square Root of 2 is Irrational
Mathematics

3 min read


Published in

MathAdam

·Pinned

Volume of a Sphere

Integral calculus makes it easy — Watch on YouTube! To find the volume of a unit sphere, approximate the sphere with numerous discs, each of thickness dR (Figure 1). We’ll do this with the northern hemisphere only. Then we can double our result.

Math

2 min read

Volume of a Sphere
Volume of a Sphere
Math

2 min read


Published in

MathAdam

·Pinned

The Surface Area of a Sphere

Why is it the same as the curved strip which surrounds it? — Watch this on YouTube! Grab a perfect sphere. Enclose it in a tube of paper (Figure 1). I claim that the rectangular sheet required to make the tube has the same area as the surface of the sphere. How can this be?

Math

3 min read

The Surface Area of a Sphere
The Surface Area of a Sphere
Math

3 min read


Published in

MathAdam

·Updated Oct 16

An elevator pitch for ln 2

Based on a true story — “A penny for your thoughts?” my friend asked. I must have been looking pensive. We were in Canada, where the penny has been discontinued. Did my friend intend to give me a nickel, and expect me to hold four thoughts for him on credit? Was he going to e-transfer me…

Math

2 min read

An elevator pitch for ln 2
An elevator pitch for ln 2
Math

2 min read


Published in

MathAdam

·Feb 3

ChatGPT, Just Shut Up

We all have a friend like this. I’m talking about the highly intelligent person who knows a lot about a lot. He speaks with confidence on a variety of topics. He mesmerizes us with his ability to cross reference seemingly unrelated atoms of obscure facts. …

Mathematics

2 min read

ChatGPT, Just Shut Up
ChatGPT, Just Shut Up
Mathematics

2 min read


Published in

MathAdam

·Jan 5

The Future of AI Writing Mathematics Papers

How natural language processing and intelligent tutoring systems are revolutionizing research in the field — As the field of artificial intelligence continues to advance, it is becoming increasingly clear that AI will play a significant role in the future of writing mathematics papers. …

Artificial Intelligence

3 min read

The Future of AI Writing Mathematics Papers
The Future of AI Writing Mathematics Papers
Artificial Intelligence

3 min read


Published in

MathAdam

·Aug 12, 2022

Why Is This My Most Popular Video?

And where’s my £10K? — I have a math channel on YouTube. Videos take effort. And research. People watch my videos. They leave nice comments. Thank you, People. Yet, somehow a 30-second video that took me about a long to create is on its way to being the most-viewed effort on my whole channel. Folks…

YouTube

1 min read

Why Is This My Most Popular Video?
Why Is This My Most Popular Video?
YouTube

1 min read


Published in

ILLUMINATION

·Apr 20, 2022

Mandatory Cold Showers May Replace Vax Pass

Satire. Seriously, this is satire. Do I have to say it again? — (From the Horton Hears a WHO Department) The World Health Organization now recommends cold showers to combat Covid-19. “I read this awesome book by this guy who calls himself the Iceman,” confided a top WHO epidemiologist, who spoke on condition of anonymity. …

Humor

1 min read

Mandatory Cold Showers May Replace Vax Pass
Mandatory Cold Showers May Replace Vax Pass
Humor

1 min read

Adam Hrankowski, ADHD

Adam Hrankowski, ADHD

5.7K Followers

Book Author

Canadian math guy, experimenting with fiction. Find my new scifi/fantasy serial here: https://unaccompaniedminor.substack.com/

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