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How To Really Solve This Packing Spheres Puzzle?

Published on May 22, 2022 by Hemanth

How To Really Solve This Packing Spheres Puzzle? - An illustration showing a triangular structure of circles. The base has 5 circles, the next layer up has 4 circles, the next layer - 3, the next layer - 2, and the final layer - 1. The total number of circles adds up to 15.
Packing spheres is a classic geometry problem that has practical relevance as well as mathematical significance - a combination of geometry and number theory!
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How To Actually Avoid The Transposed Conditional

Published on May 20, 2022 by Hemanth

How To Actually Avoid The Transposed Conditional? - An image showing a cute little cow with black and white spots on the left and cute little dog with black and white spots on the right. The cow is standing and the dog is jumping. The cow has a pink nose and pink inner-sides of ears. Likewise, the dog has a pink belly, pink inside of its mouth and pink inside of its ears. The cow says "I have four legs. So, I'm a cow!" The dog says "I have 4 legs. So, I'm also a cow!"
The transposed conditional is another one of those subtle but very consequential misunderstandings in the field of statistics. Read the essay to learn more!
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Why Is The Hot Hand Fallacy Really A Fallacy?

Published on May 19, 2022 by Hemanth

Why Is The Hot Hand Fallacy Really A Fallacy? - An image showing a basketball rolling on the hoop of a basket. Around this picture, the following question is written: "Do you really have a hot hand?"
The hot hand fallacy is one of those phenomena that divided and rocked the scientific world. Check out the essay to learn more about this phenomenon!
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How To Really Understand Statistical Significance?

Published on May 17, 2022 by Hemanth

How To Really Understand Statistical Significance? - An illustration of a bell curve that shows the 95% confidence interval highlighted in pink. There are 3 significant values marked on the horizontal axis: -1.96 on the left boundary of the confidence interval, 0 at its centre, and +1.96 at its right boundary.
Statistical significance is one of those “scientific” concepts/tools that has steadily been misused over the years. In this essay, we clarify the issues!
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The Helix Puzzle – A Simple Geometric Challenge

Published on May 16, 2022 by Hemanth

The Helix Puzzle - A Simple Geometric Challenge - An illustration of a black outlined cylinder that is 16 centimetres high and has a pink helix wrapped around it. The helix makes the constant angle of 60° with vertical lines drawn on the cylinder's surface. Below this figure, the following text is written: "Length of helix = ??"
The helix puzzle is a fun and simple geometric challenge that tests your geometric reasoning skills. To be precise, this puzzle features a circular helix.
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How To Perfectly Predict Improbable Events

Published on May 15, 2022 by Hemanth

How To Perfectly Predict Improbable Events - Illustrative art that shows a lonely house near a tree in the middle of nowhere. There is a large grey cloud hovering over the plane, and is pouring rain down. On the left, at a time of 18:01, the tree seems to be struck by a rod of lightning. On the right, at 18:02, the tree seems to be struck by two more rods of lightning. The tree says (on the right): "What did I do to deserve this?!"
All you need to perfectly predict improbable events is the power of mathematics. If you find this hard to believe, read the essay. It will change your mind!
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How To Really Treat Percentages With Negative Numbers

Published on May 13, 2022 by Hemanth

How To Really Treat Percentages With Negative Numbers - A table listing the following information: Product A → Return: 600 ; Product B → Return: 400 ; Product C → Return: -400; Total Return: 600. Below the table the following question is written: "What is A's contribution to the total return?"
When do you really need to treat percentages with negative numbers? “Not often. If not, never!” If this is your answer, think again! It's not that simple!
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The Bell Curve Performance Review System Is Actually Flawed

Published on May 12, 2022 by Hemanth

The Bell Curve Performance Review System Is Actually Flawed - An illustrative graph that shows a normal distribution, where the right tail (20%) is classified as "top performers". The central bell (70%) is classified as "average performers", and the left tail (10%) is classified as "non-performers".
The Bell Curve performance review system is one of the most prominently used systems in the corporate world. Yet, it is, at best, pseudo science!
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How To Really Solve This Tricky Algebra Problem? (III)

Published on May 10, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (III) - x^y = y^x → x = ? and y = ? when x not equal to y and x,y ∈ ℝ
Welcome to the third entry in the tricky algebra problem series. To be fair, you will need a bit more knowledge than just algebra to solve this!
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How To Scientifically Design A 2-Dimensional World? (II)

Published on May 9, 2022 by Hemanth

How To Scientifically Design A 2-Dimensional World? - an image featuring an illustration of a 2-dimensional door. The image on the left (titled '1') shows the door when it is closed, resting centrally. The image on the right (titled '2') shows the door when it is about to open. The door has two symmetrical levers on either side, a rotary hinge connected to the roof, and a wedge in the bottom at the center. When the lever is pushed from either side, the wedge rocks and the door swings open.
Previously, I covered the scientific principles behind a 2-dimensional world. This essay gives you a sneak-peek into the world of 2-dimensional tech design!
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