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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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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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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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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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How To Actually Make Parallel Lines Intersect

Published on August 5, 2022 by Hemanth

How To Actually Make Parallel Lines Intersect - An illustration showing two lines: A and B at an angle to each other meeting at a common intersection point. Below them, the following text is written: "Are A and B parallel?"
How can parallel lines intersect? That sounds absurd, right? Except, it turns out they can in a projective plane! Read the essay to find out more about this.
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Puzzles: How To Use Them To Improve Brain Performance?

Published on August 4, 2022 by Hemanth

Puzzles: How To Use Them To Improve Brain Performance? - Three illustrations: the first shows a cross-word-like puzzle. The second illustration shows six sheets of A4 paper. And the third illustration shows a glass of wine on top of a sheet of A4 paper.
This essay covers the neuroscience behind puzzles. On top of this, you get to solve three bonus puzzles. Each of these puzzles activates a specific brain area!
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I Accidentally Almost Started A Business. Here is What Happened.

Published on August 1, 2022 by Hemanth

I Accidentally Almost Started A Business. Here is What Happened. - An image showing the word "Business" written in bold letters, followed by a full stop. The letter 'B' and the full stop are in black, while the rest of the letters are in pink.
I almost started a business simply by solving a problem. My solution gained popularing with zero advertisiting - a live case study for entrepreneurs!
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