A bit of maths

Philip Kinlen's mathematics

Monday, March 4, 2024

Seeing Far Away Mountains

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When you're on a hill on one island and you look out to sea, sometimes you can see mountains on other islands. On days when humidity...
Thursday, December 14, 2023

Transport in The Line City, Saudi Arabia

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Suppose you were to build a city, but instead of it being clustered round a central district, it was to be built in along a 170 km line, ...
Tuesday, September 19, 2023

Connecting Dots

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Suppose we're given a 5 by 5 grid squared grid of nodes. We're told the bottom left point is the starting point. The second from the...
Sunday, August 20, 2023

Using a Neural Network to solve a Rubiks Cube

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In a standard 3x3x3 Rubik's cube, each of the 6 faces contain 9 squares. As a puzzle, it is deemed to be solved when each face just co...
Tuesday, June 20, 2023

Companies buying each other

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What happens when two companies buy eachother's stock? Is it like when two snakes start eating eachother tail first? In this blog po...
Wednesday, March 8, 2023

Latitude Longitude Distances

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Suppose we have the latitude and longitude of two points on the earth's surface, then how can we work out the distances between them?...
Sunday, October 30, 2022

A Bit of Algebra

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In this blog post we're going to look at finding the real positive x such that: \[x^{x^3} = \frac{1}{2^{1/6}} \hspace{10 mm} (Equati...
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Philip Kinlen
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