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Calculus (II): What Is A Limit? How To Really Grasp It?

Published on August 29, 2022 by Hemanth

Calculus (II): What Is A Limit? How To Really Grasp It?- An illustration showing a limit of x tending to 'L' that applies to a function f of 'x'. The limit part is highlighted and arrows point towards two question marks. This illustration seems to ask the reader what this limit is supposed to mean.
Seldom does any calculus user learn the core fundamentals behind what is a limit. For instance, did you know that a derivative is actually a limit?
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Regression To The Mean: Why Success Fades With Time

Published on August 27, 2022 by Hemanth

Regression To The Mean: Why Success Fades With Time - An illustration showing a breakfast table with a stern looking father (wearing glasses) sitting with folded hands on the right, and a happy and cheerful little girl seated on the left. The girl seems to be saying the following, "My grades are not falling. They are regressing to the mean!"
Regression to the mean is an extremely deceptive statistics concept. It makes sure that any amount of success fades with time. It deceives even the ‘experts’!
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Calculus: How To Really Understand A Function

Published on August 23, 2022 by Hemanth

Calculus: How To Really Understand A Function - An illustration showing a 2-dimensional cartesian x-y plane. There is a circle in the upper-right quadrant. The text above it says "NOT A FUNCTION". There is another curve that is convex in upper-left quadrant and concave in the lower-right quadrant. It looks like a wave. The text above it says "FUNCTION".
In calculus, the function is arguably one of the most basic concepts. In this essay, experience a deep dive into this concept and its related technical terms.
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Can You Really Solve This Tricky Math Puzzle?

Published on August 21, 2022 by Hemanth

Can You Really Solve This Tricky Math Puzzle? - An illustration showing a weighing scale that has a 40 Kilogram object on the right-hand side pan. On the left-hand side pan, there is an unknown box that is marked 'x'. The right-hand side is lower than the left-hand side. Below the weighing scale, the following text is written: "How Many Weights?"
This tricky math puzzle requires you to solve for the minimum number of weights you could use to balance 40 Kilograms. It stumped me. Can you fare better?
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What Happens When Projective Geometry Meets Information Theory? (II)

Published on August 19, 2022 by Hemanth

What Happens When Projective Geometry Meets Information Theory? (II) - An illustration of a mars drone on the left. On the right, there is an illustration of a Fano plane.
When Projective Geometry Meets Information Theory, you get to get to use error-correcting code to pilot your Mars drone. Richard Hamming's genius saves the day!
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Can You Really Solve This Tricky Logic Puzzle? (II)

Published on August 16, 2022 by Hemanth

Can You Really Solve This Tricky Logic Puzzle? (II) - An illustration showing Matt, Can, and Cheat vertically listed in a column on the left hand side. On the right of each of them, an arrow points to a smaller toy version of each of them. Above each arrow, a pink circle with a black question mark inside is drawn.
I am back again with yet another tricky logic puzzle for you. If you are into logical thinking and problem solving, this puzzle is for you! Check it out!
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What Happens When Projective Geometry Meets Information Theory? (I)

Published on August 14, 2022 by Hemanth

What Happens When Projective Geometry Meets Information Theory? (I) - An illustration of a mars drone on the top left. On the bottom left, there is an illustration of a Fano plane (explained later in the essay). On the right, there is a portrait of Claude Elwood Shannon.
When Projective Geometry Meets Information Theory, you get to pilot a mars drone. The geniuses of Claude Shannon, Richard Hamming, and Gino Fano save the day!
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Can You Really Solve This Tricky Logic Puzzle?

Published on August 10, 2022 by Hemanth

Can You Really Solve This Tricky Logic Puzzle? - An illustration showing Matt - a human being on the left, Can - A puppy at the centre, and Cheat - a robot on the right. All three of them are seen saying "HELLO!" together.
I recently came across a tricky logic puzzle that made me think and engage. If you are into logical thinking and problem solving, this puzzle is for you!
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How To Do Basic Math Operations Using Only Ruler And Compass

Published on August 9, 2022 by Hemanth

How To Do Basic Math Operations Using Only Ruler And Compass - An illustration showing what appears like a cartesian plane with measurements being made using a compass to mark two line segments on the positive horizontal axis and the positive vertical axis.
Why do basic math operations using only ruler and compass? Well, this challenge serves as a precursor to understand Euclid's Demons - more profound mathemaics!
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Brain Plasticity: How To Really Supercharge Your Intellect

Published on August 7, 2022 by Hemanth

Brain Plasticity: How To Really Supercharge Your Intellect - A illustration showing the following verbal equation: Brain plasticity + Rich Environment + Novel Experiences = Supercharged Intellect.
The science on using brain plasticity to get smarter is surprisingly tricky. While there is credible work in the field, there are pseudo-scientific claims also.
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