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Tuesday, September 1, 2026

Musings on Die rolling problem

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I recently came across the problem of Conditional Die Rolls  which I thoroughly enjoyed and prompted me make this post. In the interest of k...
Thursday, August 27, 2026

Solving an integral without calculus

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I've always been a fan of solving integrals using goemetry or probability even if they are pretty trivial and / or straightforward with ...
Monday, July 27, 2026

Sphere on a freely spinning turntable (again)..

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After my initial post on this topic , I still felt that there is some more to the problem than what we've explored. I kept returning to ...
Saturday, March 14, 2026

A Trigonometric Interpretation of an Infinite Product for the Lemniscate Constant

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It is well known that Viete's infinite product formula for $\pi$ has a lemniscatic analog as showed by Levin in A Geometric Interpretat...
Saturday, January 31, 2026

Blending the Birthday Problem and the Coupon Collector Problem

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The Birthday Problem and Coupon Collector problem are well known problems in probability that are like duals of each other. While the former...
Monday, December 22, 2025

A classic Pursuit problem

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One the most famous and classic pursuit problem goes like this: A pursuer, initially at point $(0, b)$, is trying to catch a pursuee, initia...
Saturday, November 8, 2025

Arclength of the Cycloid(s) from velocity vectors

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Cycloid, the curve traced by a point on the rim of a circle rolling on a straight line, probably needs no introduction. Amongst its other di...
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Yours Aye, Me
Aesthete, Atheist
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