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How To Really Understand Pascal’s Wager

Published on July 8, 2022 by Hemanth

How To Really Understand Pascal's Wager - An image showing a portrait of Blaise Pascal on the left and the second edition of Pascal's Pensées on the right. At the centre is an arrow pointing from left to right.
Pascal’s wager is a theological argument made by the iconic science figure, Blaise Pascal. The plot twist is that it involves bets and scientific thinking!
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How To Really Solve This Tricky Algebra Problem? (VI)

Published on July 6, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (VI) - x + y = 41; x*y = 16; x √(x) + y √(y) = ??
Welcome to the sixth entry in the tricky algebra problem series. In this essay, you are challenged to solve a secondary-school level math olympiad problem!
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How To Really Understand Fractals?

Published on July 5, 2022 by Hemanth

How To Really Understand Fractals? - An image showing a Romanesco Broccoli on the left, and a unique triangular pattern on the right. There is an arrow point left-to-right at the centre. The triangular pattern involves a big triangle and three differently sized smaller triangles inside. Some of these triangles are shaded pink, while others are shaded white.
Fractals are generally seen as geometric shapes that self-similarly contain themselves at arbitrary scales. Learn about fractals intuitively in this essay!
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How To Intuitively Understand Buffon’s Needle Problem

Published on July 2, 2022 by Hemanth

Buffon's Needle Problem - An illustration showing four vertical lanes (with five lane boundaries) that are parallel to each other and equidistant from one another. They are spaced at a width of 'L' units. Buffon's needle appears to be at an angle in the first lane without crossing any lane boundary. The length of Buffon's needle is also 'L' units.
Buffon’s needle problem is a game that juxtaposes geometry and probability. It is a profound concept that laid the foundations of geometric probability.
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