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The Fundamentals Of Rational Numbers

Published on January 11, 2023 by Hemanth

The Fundamentals Of Rational Numbers - The letter 'i' on the left-hand side says "Be rational!" to the symbol of pi on the right-hand side. The symbol pi responds "Get real!"
This essay not only covers the fundamentals of rational numbers but also serves as a precursor for the Dedekind cut. Read the essay to learn more!
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The Unexpected Hanging Paradox: How To Resolve It?

Published on January 9, 2023 by Hemanth

The Unexpected Hanging Paradox: How To Resolve It? - An illustration showing a cute little coconut with eyes and mouth on the left. On the right, you can see a female prisoner who is unhappy. In between them is a hanging rope. The prisoner sadly asks, "All this for a coconut?"
The Unexpected Hanging Paradox challenges the fundamental philosophy of logic. It arises from a simple story-based puzzle. Check out the essay to learn more!
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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 Figure Out Who Is Leaking Your Email

Published on January 4, 2023 by Hemanth

How To Figure Out Who Is Leaking Your Email - An illustration showing your email ID on the left. This email ID is being shared with three services at the center: A music streaming service, a newsletter subscription, and a video streaming service. The newlsletter subscription leaks your email ID to three different spam services on the right.
This solution lets you figure out who is leaking your email address and neutralise all further spamming attempts. Bonus use case included. Read to learn 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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