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Artificial Intelligence

How To Really Solve This Combinatorics Puzzle?

Published on April 23, 2022 by Hemanth

How To Really Solve This Combinatorics Puzzle? - An image showing a total of thirteen planar points. Of the thirteen, six pink points are collinear. That is, they lie along a straight line (visualized as a pink broken line). Similarly, four green points and three black points are collinear along a green broken line and a black broken line respectively.
Use this combinatorics puzzle to brush up on your logical reasoning. Given the following planar points, how many straight lines can you construct using them?
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How To Execute The Quadratic Equation Magic Trick?

Published on April 21, 2022 by Hemanth

How To Execute The Quadratic Equation Magic Trick? - An image showing the following equation: ax² + bx + c. Below the equation, the following three questions are asked one below the other: a = ??; b = ??; c = ??
The quadratic equation magic trick is not your usual run-of-the-mill math trick. It raises the bar a couple of notches. Why don't you give it a try?
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What Do Black Holes And The Big Bang Have In Common?

Published on April 19, 2022 by Hemanth

What Do Black Holes And The Big Bang Have In Common? - An image showing the timeline for the metric expansion of space since big bang (Image from WikiCC)
At first thought, black holes and the big bang seem to be unrelated phenomena. But if we choose to look underneath the hood, the narrative changes!
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How To Really Solve The Monkey And The Coconuts Puzzle?

Published on April 17, 2022 by Hemanth

How To Really Solve The Monkey And The Coconuts Puzzle? - An illustrative sketch with a cute monkey sitting like a baby on the left, and five coconuts stacked on top of each other on the right. The coconuts also look cute with goofy looking eyes and their tongues sticking out.
The monkey and the coconuts is a historically viral math puzzle that appears to be simple on the surface but is anything but. Why don't you give it a try?
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How To Really Solve This Tricky Algebra Problem?

Published on April 13, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? - An image showing the following equation on top: 10^x + 11^x + 12 ^x = 13^x + 14^x. Below this equation, the following question is raised: "x = ??"
On the surface, this does not look like a tricky algebra problem. However, it is an elusive problem. If you can analyse functions, it makes the job much easier!
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3 Reasons Why Deep Space Travel Is Really Challenging

Published on April 11, 2022 by Hemanth

3 Reasons Why Deep Space Travel Is Really Challenging - An image of a lonely astronaut taking a selfie in space with a star behind him. On his visor, one can see reflections of what appears to be a space station. On the empty space beside the astronaut, the following seems to be hand-written: "ALONE!"
Deep space travel is inevitable if we are to become an interplanetary civilization. But we need address a few challenges first if we were to achieve this goal!
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How To Casually Guess Numbers After Dice Throws?

Published on April 10, 2022 by Hemanth

How To Casually Guess Numbers After Dice Throws? - Three dice with 1, 6, and x on top. The following equation is written on top: 1+6+x = ?? What could 'x' potentially be?
Would it not be pleasing if you could casually guess numbers after dice throws? But hang on a minute! Aren’t dice throws supposed to be random?
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How To Really Deal With The Friendship Paradox?

Published on April 6, 2022 by Hemanth

How To Really Deal With The Friendship Paradox? - An image showing 4 stick figures. Top left: you, bottom left: Jim, top right: Kate, bottom right: Amy. You are only connected to Jim. Jim is connected to you, Kate, and Amy. Kate is connected to Jim and Amy. Amy is connected to Jim and Kate. All connections are represented by bidirectional arrows. There is a bubble above you asking "Am I popular?"
The friendship paradox is a mathematical phenomenon that challenges our intuitive understanding of comparison in relationships. How do you compare?
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Bourbaki – The Story Of The Rockstar Mathematician Who Never Lived

Published on April 4, 2022 by Hemanth

The Story Of The Rockstar Mathematician Who Never Lived - Portrait of D. Kosambi on the left and what appears to be his silhouette on the right. There is a label titled "Bourbaki??" on top of this silhouette. Furthermore, there is an arrow pointing from left to right between the two images, questioning if Kosambi is secretly Bourbaki.
Have you heard of a Russian mathematician named Nicolas Bourbaki? He happens to be a rather influential mathematician. He also never existed! But how?!
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The Shipwreck Puzzle – A Fun Linear Math Challenge

Published on March 30, 2022 by Hemanth

The Shipwreck Puzzle - An image showing a sketch of two ships that are sinking. Ship-1 needs 10 hours to sink to the bottom of the sea whereas Ship-2 needs just 5 hours to sink to the bottom of the sea
The shipwreck puzzle is a fun challenge that tests your fundamental understanding of rates and linear algebra. Can you track down the two sinking ships?
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