Problem Solving

Poker

by Declan Stacy | August 2021

This article will summarize the work of different people in trying to solve different types of Texas Hold'em Poker, specifically cash limit games and no-limit tournaments.

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Problem Solving

Poles and Polars

by Maxwell Zen | April 2021

An introduction to poles and polars. Along the way, many important theorems, such as La Hire's Theorem, Pascal's Theorem, and the Fundamental Theorem of Poles and Polars, will be introduced in order to further explore this interesting topic.

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Problem Solving

Conic Sections

by Josiah Moltz | April 2021

Introduction to conic sections. A cone is a figure in which a circular base tapers to a single point. A Hyperbola comes when a plane splits a cone into 4 different sections.

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Problem Solving

Harmonic Geometry

by John Gupta-She | April 2021

Harmonic, or projective, geometry is a special way of looking at ratios in a geometric figure. Many difficult problems can be solved with only the two most important constructions.

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Problem Solving

Complex Numbers

by Hunter Pesin | March 2021

Some properties of complex numbers entail how arithmetic in its polar form is conducted, its geometric connection, and how complex numbers behave like binomials.

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Problem Solving

A Combinatorial Identity

by Declan Stacy | March 2021

Let S be the set of n-tuples A=(a_1, a_2, ..., a_n) such that a_i >=0. A summation question and solution.

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Problem Solving

Marbles

by Declan Stacy | Feb 2021

Johnny has a bag of marbles with n red marbles and n blue marbles. What is the probability that he goes through the entire bag before stopping?

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Problem Solving

Calculating a Fixed Distance

An alternate derivation of a well known sum from Calculus.

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Problem Solving

Conditional Probability

by Declan Stacy | June 2020

An introduction to conditional probability and the most important theorems relating to it. At the end, there are interesting problems to try and solutions.

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Problem Solving

Conditional Probability Problem Set

by Declan Stacy | June 2020

Solutions to the Conditional Probability Problem Set

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Problem Solving

Generating Functions

Using Generating Functions to Compute Infinite Series.

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