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First edition

Welcome, everyone! This is the first edition of MATES, the George School publication dedicated to allowing all students at all levels to write about the MATES subjects of Mathematics, Arts, Technology, Engineering, and Science. The first edition was created within the GS Math and Beyond Club and CrypNTo community but expanded beyond the club members. Please congratulate all the writers and editors: Forest Ho-Chen '22, Linglong Dai '23, Rudy Jatnieks '24, Melanie Shao '24, Cloris Wang '24, Yuki Wang '23, and Camellia Zheng '23. If you find this publication interesting, feel free to submit an article!

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- Forest Ho-Chen '22, Co-executive Editor

By Camellia Zheng '23

Slime molds, although formerly classified as fungi, are in fact the sticky cousin of eukaryotic organisms. They are single-celled organisms with neither neurons nor brains. However, for the past ten years, scientists have been arguing whether slime mold has the ability to learn about the surrounding environment and adjust its behavior accordingly. 

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By Cloris Wang '24

Anamorphosis is a distorted projection that becomes recognizable only when viewed in a special manner. The application of anamorphosis dates back to the Renaissance. Before, artists drew every figure on the same plane.

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By Rudy Jatnieks '24

The isosceles triangle theorem states “If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.” For a triangle to be isosceles, it must contain two sides of equal length. There are many ways to prove this theorem.

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By Melanie Shao '24

The Hardest Logic Puzzle Ever, also called the Three Gods riddle, is created by an American philosopher and logician George Boolos. It states: Three gods A, B, and C are called, in no particular order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter.

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By Yuki Wang '23

The four-color theorem was first discovered in 1852 by a man named Francis Guthrie, who at the time was trying to color a map of the UK. He found out that a maximum of four colors was all he needed such that no countries sharing a common boundary curve segment were of the same color.

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By Linglong Dai '23

Hilbert curve, named after its inventor David Hilbert, is one of the most popular fractals in Mathematics. It is known for its ability to arise from the first dimension to higher dimensions through executing a set of recurring actions.

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By Forest Ho-Chen '22

Integration by Parts is an extremely important integration technique. In this article, we prove the formula for integration by parts, introduce some new notation that can make it easier to understand integration by parts, prove why the DI (differentiate and integrate) table is a valid approach to using integration by parts, and explain how to use a DI table to do integration by parts.

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Curious George

Curious George is available, free of charge, to all members of the greater George School community. Curious George, the official George School Newspaper, is another George School publication and member of the Publisher's Alliance.

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