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Wednesday, February 28, 2018

Advanced Knowledge Problem of the Week 3-1-18: An Improper Integral [Complex Analysis]

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Solution below.

Tuesday, February 27, 2018

Problem of the Week 2-27-18: Minimizing a Number [Inequalities]

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Solution below.

Thursday, February 22, 2018

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

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Solution below.

Wednesday, February 21, 2018

Combinatoric Identities

Here are a couple neat combinatorial identities.

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

Advanced Knowledge Problem of the Week 2-15-18: Modular Arithmetic and Factorials [Number Theory]

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Solution below.

Wednesday, February 14, 2018

Valentine's Day Theorem

Here is a neat little theorem referred to as the "Happy ending problem" by Paul ErdÅ‘s, 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.