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How To Really Solve This Tricky Algebra Problem? (V)

Published on June 16, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (V) - (x²/y²) + (y²/x²) = 287; [(x/y) + (y/x)]³ = ??; x not equal to zero; y not equal to zero
Welcome to the fifth entry in the tricky algebra problem series. This one is aimed at beginners. Can you solve this challenge in under one minute?
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How To Benefit From Computer Science In Real Life? (III)

Published on June 15, 2022 by Hemanth

How To Benefit From Computer Science In Real Life? (III) - An illustration showing a catlogue search window that allows the user to search based on "title", "author", "topic", and "publication". The mouse pointer seems to be hovering hover the "search" button. To the right of the "search" button is the "cancel" button.
Learn how to benefit from computer science to solve sort and search problems in real life. Also included is an introduction to the modern random stow method!
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How To Really Understand Expected Value?

Published on June 14, 2022 by Hemanth

How To Really Understand Expected Value? - A cartoon that shows a stick figure with a fancy hat and a tie sitting inside a counter. A sign on top of the counter reads "$2 Window". Beside the counter a flap-sign reads "10 Horse Races Daily!" There are two other stick figures with money in their hands queued up at the counter. The first stick figure says "I want Horse-777 to win!"
Expected value is another one of those scientific terms that people misunderstand quite often. Read this essay to learn how to spot common traps and avoid them!
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How To Benefit From Computer Science In Real Life (II)

Published on June 14, 2022 by Hemanth

How To Benefit From Computer Science In Real Life (II) - An illustration that shows a cheap supermarket named 'ELCHEAPO' on the left and an expensive supermarket named 'ELITO' on the right. Somewhere in between the supermarkets is a stick figure that is struggling to decide. 'ELCHEAPO' is 5 kilometres away from the stick figure, whereas 'ELITO' is just 200 metres away.
Learn how to benefit from computer science via the time-space-money trade-off (AKA resource trade-off) to unclutter complicated decision processes in real life!
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How To Benefit From Computer Science In Real Life? (I)

Published on June 13, 2022 by Hemanth

How To Benefit From Computer Science In Real Life? (I) - An illustration featuring one person heating glass in a flaming furnace, whereas another person is blowing and shaping a curvy-looking piece of glass artwork. Along with the illustration, the following text is presented: "Glass Blowing Using Computer Science?"
For those who are curious enough, there are plenty of ways to benefit from computer science in real life. This essay illustrates this using practical examples.
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How To Actually Solve The Königsberg Bridge Problem?

Published on June 9, 2022 by Hemanth

The Königsberg Bridge Problem - An illustration showing seven brdiges connecting four landmasses. Island 1 (centre) is connected to the upper bank (north) and the lower bank (south) via two bridges each. Island 1 and Island 2 (east) are connected by a bridge. Island 2 is connected to the upper bank and the lower bank via one bridge each.
The Königsberg bridge problem started as a logic puzzle to the city's residents. It laid the foundations for new math fields such as graph theory and topology!
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How To Really Solve The Kissing Circles Puzzle

Published on June 8, 2022 by Hemanth

How To Really Solve The Kissing Circles Puzzle - An illustration where on the left, three bigger circles (circles 1, 2, and 3) enclose a smaller circle (circle x), and on the right, one bigger circle (circle x) encloses three smaller circles (circles 1, 2, and 3).
I first came across the kissing circles puzzle when I was studying the topic of hyperspheres. The puzzle as such is quite simple, but it has profound insights!
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How To Really Solve This Tricky Algebra Problem? (IV)

Published on June 6, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (IV) - An image showing the following equations on the left: x² + y² = 7 and x³ + y³ = 10. On the right, the following equation is written: x + y = ??. Below this equation, the following information is provided in a box: x,y ∈ ℝ.
Welcome to the fourth entry in the tricky algebra problem series. In this entry, you get to solve a fun and challenging math olympiad level algebra problem!
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Big Tech Using Big Data For Perfect Prediction/Spying A Lie

Published on June 4, 2022 by Hemanth

Big Tech Using Big Data For Perfect Prediction/Spying A Lie - An illustration showing a stick figure on the left with a smartphone. The stick figure seems to be smiling as it is texting. Labelled above the stick figure is the text "You". On the right, a much bigger stick figure seems to be using a telescope to spy on what the smaller stick figure is typing. Labelled above this stick figure is the text "Big Tech".
The notion of big tech using big data to predict human behavior remains an ethical concern. This essay covers the mathematics behind such prediction technology.
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How To Really Understand Order Of Operations

Published on June 2, 2022 by Hemanth

How To Really Understand Order Of Operations - An image with the following question: 12 ÷ 4 (1 + 2) = ?? Below this equation, the following text is written: "PEMDAS/BEDMAS/BODMAS"
Order of operations is a fundamental math concept that kids learn at school as BODMAS/PEMDAS. But if you blindly follow PEMDAS/BODMAS, you are taking a risk!
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