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Psychology

Russell’s Paradox – A Lesson On How To Crash Mathematics

Published on March 12, 2022 by Hemanth

Russell's Paradox - A Lesson On How To Crash Mathematics - Image showing Bertrand Russell (Left) and Gottlob Frege (Right) - Images from Wikimedia Commons
Russell’s paradox is one of the most famous paradoxes in all of mathematics. Yet, the fascinating and gripping story behind this paradox is not as well-known.
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How To Really Understand The Mathematics of Language?

Published on March 8, 2022 by Hemanth

How To Really Understand The Mathematics Of Language: An image showing "L$NG$$G$", where $ seems to refer to missing letters
What does “Mathematics of Language” mean? The answer involves Claude Shannon, entropy, and smartphones. Intrigued? This essay shows how you can benefit!
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Why Do We Really Use Euler’s Number For Growth?

Published on February 27, 2022 by Hemanth

Why Do We Really Use Euler's Number For Growth? An image that asks "Why e^(rt) and not 2^(rt)?
Euler’s number (e) is synonymous with natural growth and decay. But why use ‘e’ (2.718…) instead of ‘2’ or any other constant? This essay has the answers!
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How To Really Make Sense of Hotelling’s Law?

Published on February 22, 2022 by Hemanth

How To Really Make Sense of Hotelling's Law - A street with supermarket A placed at 1/4 of the length of the street, and supermarket B placed at 3/4 of the length of the street. Both supermarkets share one half of the total customers on the street.
Have you ever seen restaurants or fast-food chains spaced very close to each other? As it turns out, Hotelling’s law tries to explain this very phenomenon.
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How To Benefit From Braess’s Paradox?

Published on February 17, 2022 by Hemanth

How To Benefit From Braess's Paradox? A road network that connects START to END. There are two paths available: one through junction A, and another through junction B. Time taken for traversing START-A = 110 minutes. Time taken to traverse A-END = T/10, where T is the number of cars on the route. Time taken for START-B = T/10, where T is the number of cars on the route. Time taken for B-END = 110 minutes.
Braess’s paradox originates from the observation that overall traffic efficiency in a road network decreases after one or more roads are added to the network.
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How To Do Reinforcement Learning in Real Life

Published on February 9, 2022 by Hemanth

How To Do Reinforcement Learning in Real Life: Example datasets from the reinforcement learning experiment. Top Left: Benign samples; Top Right: Malignant samples; Bottom Left: No calcifications; Bottom Right: Calcifications.
Reinforcement learning is a key branch of machine learning that finds applications in many fields. But can it be applied to real-life intelligent agents?
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