Mathematical Reflections – Archive

2018 Issues

Issue 2 - 2018 - Current Issue

Mathematical Reflections - Issue 2 2018
Article #1

Triangles Homothetic with the Intouch Triangle
by Sava Grozdev, Hiroshi Okumura, and Deko Dekov

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Article #2


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Problem Column


The deadline for submissions is May 15, 2018

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Solutions


Solutions to Mathematical Reflections 1, 2018:

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Issue 1 - 2018

Mathematical Reflections – Issue 1 2018
Article #1

Searching for Homogeneity Across Multi-Variable Polynomials
by Navid Safaei

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Problem Column


The deadline for submissions is March 15, 2018

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Solutions


Solutions to Mathematical Reflections 6, 2017:

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2017 Issues

Issue 6 - 2017

Mathematical Reflections – Issue 6 2017
Article #1

A Weighted Power Lessels-Pelling Inequality
by Mihaly Bencze and Marius Dragan

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Article #2

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Problem Column


The deadline for submissions is January 15, 2018

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Solutions


Solutions to Mathematical Reflections 5, 2017:

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Issue 5 - 2017

Mathematical Reflections – Issue 5 2017
Article #1

A Generalization of the Rearrangement Inequality
by Jan Holstermann

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Problem Column


The deadline for submissions is November 15, 2017

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Solutions


Solutions to Mathematical Reflections 4, 2017:

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Issue 4 - 2017

Mathematical Reflections – Issue 4 2017
Article #1

Piecewise Telescoping and Applications to Fourier Series
by Joshua M. Siktar

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Problem Column


The deadline for submissions is September 15, 2017

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Solutions


Solutions to Mathematical Reflections 3, 2017:

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Issue 3 - 2017

Mathematical Reflections – Issue 3 2017
Article #1

A Generalization of the Napoleon’s Theorem
by Khakimboy Egamberganov

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Problem Column


The deadline for submissions is July 15, 2017

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Solutions


Solutions to Mathematical Reflections 2, 2017:

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Issue 2 - 2017

Mathematical Reflections – Issue 2 2017
Article #1

A Special Point on the Median
by Anant Mudgal, Gunmay Handa

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Problem Column


The deadline for submissions is May 15, 2017

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Solutions


Solutions to Mathematical Reflections 1, 2017:

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Issue 1 - 2017

Mathematical Reflections – Issue 1 2017
Article #1

Properties of Repeated Reflections
by Matthew J. Cox

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Article #2

Rational Bounds for the Logarithm Function with Applications
by Robert Bosch

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Problem Column


The deadline for submissions is March 15, 2017

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Solutions *


Solutions to Mathematical Reflections 6, 2016:

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* This file has been updated based on comments received from you. If you have further suggestions and/or think that you can provide better solutions to some of the problems, please send them to us.

2016 Issues

Issue 6 - 2016

Mathematical Reflections – Issue 6 2016
Article #1

Introduction to Hook Length Formula
by Mehtaab Sawhney

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Article #2

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Problem Column


The deadline for submissions is January 15, 2017

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Solutions


Solutions to Mathematical Reflections 5, 2016:

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Issue 5 - 2016

Mathematical Reflections – Issue 5 2016
Article #1

About a Fibonacci Problem
by Mircea Becheanu

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Article #2

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Problem Column


The deadline for submissions is November 15, 2016

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Solutions


Solutions to Mathematical Reflections 4, 2016:

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Issue 4 - 2016

Mathematical Reflections – Issue 4 2016
Article #1

A Nice Theorem on Mixtilinear Incircles
by Khakimboy Egamberganov

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Article #2

A Fine Use of Transformations,
by Rithvik Pasumarty

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Problem Column


The deadline for submissions is September 15, 2016

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Solutions


Solutions to Mathematical Reflections 3, 2016:

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Issue 3 - 2016

Mathematical Reflections – Issue 3 2016
Article #1

Polynomial Roots and Arithmetic-Geometric Mean Inequality
by ̇Ilker Can Cicek

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Article #2

A Characterization of the Parallelogram,
by Paris Pamfilos

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Problem Column


The deadline for submissions is July 15, 2016

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Solutions


Solutions to Mathematical Reflections 2, 2016:

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Issue 2 - 2016

Mathematical Reflections – Issue 2, 2016
Article #1

Szemerédi Trotter Polynomials and Incidences
by Maxwell Fishelson

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Article #2

Coefficients and Roots of Polynomials,
by Bekhzod Kurbonboev

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Problem Column


The deadline for submissions is May 15, 2016

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Solutions


Solutions to Mathematical Reflections 1, 2016:

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Issue 1 - 2016

Mathematical Reflections – Issue 1, 2016
Article #1

Concyclicities in Tucker-like Configurations
by Stefan Dominte and Tudor-Dimitrie Popescu

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Article #2

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Problem Column


The deadline for submissions is March 15, 2016

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Solutions


Solutions to Mathematical Reflections 6, 2015:

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2015 Issues

Issue 6 - 2015

Mathematical Reflections – Issue 6, 2015
Article #1

Solving Some Problems Using the Mean Value Theorem
by Phu Cuong Le Van-Senior

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Article #2

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Problem Column


The deadline for submissions is January 15, 2016

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Solutions


Solutions to Mathematical Reflections 5, 2015:

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Issue 5 - 2015

Mathematical Reflections – Issue 5, 2015
Article #1

A Forgotten Coaxality Lemma
by Stanisor Stefan Dan

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Article #2

Inequalities on Ratios of Radii of Tangent Circles,
by Y.N. Aliyev

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Problem Column


The deadline for submissions is November 15, 2015

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Solutions


Solutions to Mathematical Reflections 4, 2015:

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Issue 4 - 2015

Mathematical Reflections – Issue 4, 2015
Article #1

Algorithms
by Cody Johnson

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Article #2

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Problem Column


The deadline for submissions is September 15, 2015

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Solutions


Solutions to Mathematical Reflections 3, 2015:

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Issue 3 - 2015

Mathematical Reflections – Issue 3, 2015


Two Proofs of Cayley’s Theorem,
by Titu Andreescu and Cosmin Pohoata

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Problem Column
The deadline for submissions is July 15, 2015

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Solutions to Mathematical Reflections 2, 2015:

Issue 2 - 2015

Mathematical Reflections – Issue 2, 2015


On Fontene’s Theorems,
by Marius Bocanu

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Droz-Farny, an Inverse View,
by Paris Pamfilos

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Problem Column
The deadline for submissions is May 15, 2015

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Solutions to Mathematical Reflections 1, 2015:

Issue 1 - 2015

Polynominal Legendre’s Diophantine Equations,
by Dimitar Grantcharov, Alex Krutko, and Max Krutko

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Triangle Identities via Elimination Theory,
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: