Mathematical Reflections – Archive


2015 Mathematical Reflections

Issue 1 - 2015 - Current Issue

Mathematical Reflections - Issue 1, 2015


Polynomial Legendre's Diophantine Equations,
by Dimitar Grantcharov, Alex Krutko, and Max Krutko

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Triangle Identities via Elimination Theory,
by by Dam Van Nhi and Luu Ba Thang

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Problem Column
The deadline for submissions is March 15, 2015

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Solutions to Mathematical Reflections 6, 2014:

2014 Mathematical Reflections

Issue 6, 2014

Mathematical Reflections – Issue 6, 2014


All About Excircles!,
by Prasanna Ramakrishnan

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Expected Uses of Probability,
by Evan Chen

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Problem Column
The deadline for submissions is January 15, 2015

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Solutions to Mathematical Reflections 5, 2014:

Issue 5 - 2014

Issue 5, 2014


Three Combinatorial Gems via the Simplest Algebra,
by Stefan Stanisor Dan

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Similar Quadrillaterals,
by Guanqi Cui, Akshaj Kadaveru, Joshua Lee, Sagar Maheshwari

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Problem Column
The deadline for submissions is November 15, 2014

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Solutions to Mathematical Reflections 4, 2014:

Issue 4 - 2014

Issue 4, 2014


A Remarkable Inequality,
by Daniel Campos and Roberto Bosch

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An Analytic Proof of an Interesting Combinatorial Identity,
by Aaron Doman

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Problem Column
The deadline for submissions is September 15, 2014

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Solutions to Mathematical Reflections 3, 2014:

Issue 3 - 2014

Issue 3, 2014


A Class of Inequalities,
by Marius Stanean

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Problem Column
The deadline for submissions is July 15, 2014

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Solutions to Mathematical Reflections 2, 2014:

Issue 2 - 2014

Issue 1, 2014


On The Maximum Area Of A Triangle With The Fixed Distances From It’s Vertices To A Given Point,
by Ivan Borsenco, Roberto Bosch Cabrera, Daniel Lasaosa

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Problem Column
The deadline for submissions is May 15, 2014

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Solutions to Mathematical Reflections 1, 2014:

Issue 1 - 2014

Issue 1, 2014


Solving Systems of Symmetric Equations,
by Aaron Doman

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Newton and Midpoints of Diagonals of Circumscriptible Quadrilaterals,
by Titu Andreescu, Luis Gonzalez and Cosmin Pohoata

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Problem Column
The deadline for submissions is March 15, 2014

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Solutions to Mathematical Reflections 6, 2013:

2013 Mathematical Reflections

Issue 6 - 2013

Issue 6, 2013


A Combinatorial Proof of an Algebraic Identity,
by Bogdan Enescu

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Hartcourt’s Theorem via Salmon’s Lemma,
by Luis Gonzales and Cosmin Pohoata

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Problem Column
The deadline for submissions is January 15, 2013

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Solutions to Mathematical Reflections 5, 2013:

Issue 5 - 2013

Issue 5, 2013


On a Problem About Odd-denominator Egyptian Fractions,
by Tomas Novotny

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Problem Column
The deadline for submissions is November 15, 2013

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Solutions to Mathematical Reflections 4, 2013:

Issue 4 - 2013

Issue 4, 2013


How To Make A Soccer Ball – Euler’’s relation for polyhedra and planar graphs,
by Bogdan Enescu

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Let’s Talk About Symmedians!,
by Sammy Luo and Cosmin Pohoata

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Problem Column
The deadline for submissions is September 15, 2013

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Solutions to Mathematical Reflections 3, 2013:

Issue 3 - 2013

Issue 3, 2013


The Finite Field Kakeya Conjecture,
by Cosmin Pohoata

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Problem Column
The deadline for submissions is July 15, 2013

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Solutions to Mathematical Reflections 2, 2013:

Issue 2 - 2013

Issue 2, 2013


How To Look At Minkowski’s Theorem,
by Cosmin Pohoata

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Problem Column
The deadline for submissions is May 15, 2013

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Solutions to Mathematical Reflections 1, 2013:

Issue 1 - 2013

Issue 1, 2013


An Unexpected Application of the Cauchy-Schwarz Inequality,
by Titu Andreescu and Gabriel Dospinescu

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Problem Column
The deadline for submissions is March 15, 2013

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Solutions to Mathematical Reflections 6, 2012: