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Mathematics

Why Does Science Love Simplicity?

Published on January 7, 2023 by Hemanth

Why Does Science Love Simplicity? - An illustration with a triangle on the left, a circle at the centre, and a square on the right. The following question is written around these figures: Which of these is the simplest geometry?
From Newton to Einstein, it turns out that simplicity in science is not so simple. Yet, why does science love simplicity? Read to find out more.
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How To Really Solve This Tricky Algebra Problem (XII)

Published on January 2, 2023 by Hemanth

How To Really Solve This Tricky Algebra Problem (XII) - A whiteboard style graphic-illustration showing the following information: x + 1/x = 1; x⁵ + (1/x⁵) = What (??)
The Tricky Algebra Problem Series celebrates the joy of algebra! Problems range from beginner to advanced levels. This one has an easy difficulty level!
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How To Use Entropy Like A Pro In Thermodynamics

Published on December 31, 2022 by Hemanth

How To Use Entropy Like A Pro In Thermodynamics - An illustration showing a cat trying to push a glass jar down a table. Around this illustration, the following text is written: "Use entropy like a pro!"
Welcome to a crash course on how to use entropy like a pro in thermodynamics. This is the beginner's intro to thermodynamic entropy that you've always wanted!
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How To Use Video Games To Solve Scientific Problems

Published on December 26, 2022 by Hemanth

How To Use Video Games To Solve Scientific Problems - An illustration showing a video game controller connected to a television screen. On the screen, you can see a brain shaped figure, inside of which a puzzle is being solved. Below this figure, the following word is written in bold: "Science".
You can use video games to solve scientific problems AND save your job from artificial intelligence. Intrigued? Read the essay to learn how!
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How To Really Solve This Tricky Algebra Problem (XI)

Published on December 23, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem (XI) - Whiteboard style graphics showing the following information: The following two equations are written on the left: a+b+c=2022; (1/a)+(1/b)+(1/c) = 1/2022; On the right, the following question is asked: (1/a²⁰²³) + (1/b²⁰²³) + (1/c²⁰²³) = ? (what)
The Tricky Algebra Problem Series celebrates the joy of algebra! Problems range from beginner to advanced levels. This one has a medium difficulty level!
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How To Actually Count To Infinity?

Published on December 21, 2022 by Hemanth

How To Actually Count To Infinity? -  A deep-thinking stick figure is asking the following question in its head: "How do I count beyond infinity?" Below this bubble is seen the following word highlighted inside a square block: Infinity. Beside this block is a seal that says 'For Dummies - Approved' on it.
This essay is a crash course on infinity for dummies! Read on to learn how the fundamentals of set theory help us actually count to infinity!
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How To Choose The Fastest Supermarket Line?

Published on December 19, 2022 by Hemanth

How To Choose The Fastest Supermarket Line? - An illustration showing stick figures standing in queues in front of three counters: A, B, and C. There are four stick figures in front of counter A, 5 in front of counter B, and 8 in front of C. All three counters are operated by stick figures. The second-last stick figure in line 'C' is marked 'You'. There is a box beside this illustration with the following question: "Which is the fastest line?"
A scientific field called queueing theory studies how one could choose the fastest supermarket line. The solution is more counter-intuitive than you think!
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The Grue Paradox: Induction Does Not Really Exist.

Published on December 14, 2022 by Hemanth

The Grue Paradox: Induction Does Not Really Exist. - An illustration showing a green gemstone on the left and a blue gemstone on the right. Around this illustration, the following question is posed: "Are emeralds green or blue?"
The grue paradox exposes a central problem in the philosophy of science. It leads to the conclusion that induction does not really exist! Read to learn more!
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How To Solve 2×2 Equations In A Single Step

Published on December 12, 2022 by Hemanth

How To Solve 2x2 Equations In A Single Step - Whiteboard style grahics showing the banner "An underrated algebra tool". This banner points to a 2x2 equation system showing the following equations: 2x + y = 2; x − y = 1; Some arrows seem to indicate cross-multiplication among the terms of the two equations.
You typically need substitution/elimination to solve 2x2 equations. But the method in this essay lets you skip that & arrive at the solution in a single step!
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Unpopular Candidates Win Elections. How? Here Is The Math.

Published on December 6, 2022 by Hemanth

Unpopular Candidates Win Elections. - A whiteboard style graphic illustration showing three stick figures: A, B, and C. A shows a smug reaction with folded hands; A is also an unpopular candidate. B shows a happy reaction with raised hands; B is a popular candidate. C shows a panicking reaction and is an irrelevant candidate. Below these stick figures, the following question is posed: "Who will win??"
Unpopular candidates win elections now and then; no big news. But did you know that applied math can explain why this happens? Check out the essay for more!
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