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Thursday, February 22, 2018

Advanced Knowledge Problem of the Week 2-22-18: Inner Automorphisms [Group Theory]

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Solution below.

Tuesday, February 20, 2018

Problem of the Week 2-20-18: Set Painting [Set Theory]

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Solution below.

Thursday, February 15, 2018

Wednesday, February 14, 2018

Valentine's Day Theorem

Here is a neat little theorem referred to as the "Happy ending problem" by Paul Erdős, due to it resulting in the marriage of two mathematicians. Happy Valentines Day!

Tuesday, February 13, 2018

Problem of the Week 2-13-18: Polynomial Root Averages [Polynomials]

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Solution below.

Friday, February 9, 2018

Generating Functions

Here are some neat generating functions for different notable sequences of numbers.

Thursday, February 8, 2018

Advanced Knowledge Problem of the Week 2-8-18: Nilpotent Elements [Abstract Algebra]

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Solution below.

Tuesday, February 6, 2018

Problem of the Week 2-6-18: Powers of Five [Number Theory]

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Solution below.