Mathematical Reflections – Archive

2020 Issues

Mathematical Reflections - Issue 6 2020
Article #1

Anti-Steiner Point Revisited
by Nguyen Duc Toan

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Article #2

Triangle BIC
by Shuborno Das, Aditya Khurmi, Aatman Supkar, Arindam Bhattacharyya

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Problem Column

The deadline for submissions is January 15, 2021

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Solutions

Solutions to Mathematical Reflections 5, 2020:

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Additional Resources
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Mathematical Reflections – Issue 5 2020
Article #1

Counting with the Aid of Cyclotomic Polynomials
by İlker Can Çiçek

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Article #2

by

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Problem Column

The deadline for submissions is November 15, 2020

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Solutions

Solutions to Mathematical Reflections 4, 2020:

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Additional Resources
Learn more about polynomials…
Mathematical Reflections – Issue 4 2020
Article #1

Solving Problems by Looking at a Discriminant
by Jose Hernandez Santiago

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Article #2

The Continuous Solutions of Cauchy’s Functional Equation Using a Simple Geometric Argument
by Martin Celli

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Problem Column

The deadline for submissions is September 15, 2020

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Solutions

Solutions to Mathematical Reflections 3, 2020:

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Mathematical Reflections – Issue 3 2020
Article #1

Polar Duality in Olympiad Geometry
by Radek Olšák

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Article #2

Short Introduction to Deep Learning and its Math – Part II
by Branislav Kisacanin

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Problem Column

The deadline for submissions is July 15, 2020

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Solutions

Solutions to Mathematical Reflections 2, 2020:

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Mathematical Reflections – Issue 2 2020
Article #1

On Mixtilinear Incircles
by Jafet Baca

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Article #2

Short Introduction to Deep Learning and its Math
by Branislav Kisacanin

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Problem Column

The deadline for submissions is May 15, 2020

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Solutions

Solutions to Mathematical Reflections 1, 2020:

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Mathematical Reflections – Issue 1 2020
Article #1

A Geometric Interpretation of Some Polynomial Equations
by Navid Safaei

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Article #2

by

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Problem Column

The deadline for submissions is March 15, 2020

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Solutions

Solutions to Mathematical Reflections 6, 2019:

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2019 Issues

Mathematical Reflections – Issue 6 2019
Article #1

Ptolemy’s Sine Lemma
by Fedir Yudin and Nikita Skybytskyi

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Article #2

by

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Problem Column

The deadline for submissions is January 15, 2020

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Solutions

Solutions to Mathematical Reflections 5, 2019:

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Mathematical Reflections – Issue 5 2019
Article #1

On a Property of the Primitive Roots of Unity Leading to the Evaluation of Ramanujan’s Sums
by Titu Andreescu and Marian Tetiva

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Article #2


by

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Problem Column

The deadline for submissions is November 15, 2019

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Solutions

Solutions to Mathematical Reflections 4, 2019:

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Mathematical Reflections – Issue 4 2019
Article #1

Best Polynomial Estimates in a Triangle
by Titu Andreescu and Oleg Mushkarov

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Article #2


by

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Problem Column

The deadline for submissions is September 15, 2019

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Solutions

Solutions to Mathematical Reflections 3, 2019:

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Mathematical Reflections – Issue 3 2019
Article #1

Joining the Incenter and Orthocenter Configurations: Properties Associated with a Tangential Quadrilateral
by Andrew Wu

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Article #2


by

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Problem Column

The deadline for submissions is July 15, 2019

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Solutions

Solutions to Mathematical Reflections 2, 2019:

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Mathematical Reflections – Issue 2 2019
Article #1

Linear Approximation Implies Unique Solution
by Titu Andreescu and Marian Tetiva

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Article #2

Discrete Approach to a Result Concerning a Contour Integral
by Navid Safaei

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Problem Column

The deadline for submissions is May 15, 2019

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Solutions

Solutions to Mathematical Reflections 1, 2019:

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Mathematical Reflections – Issue 1 2019
Article #1

On a Special Center of Spiral Similarity
by Jafet Baca

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Article #2


by

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Problem Column

The deadline for submissions is March 15, 2019

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Solutions

Solutions to Mathematical Reflections 6, 2018:

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2018 Issues

Mathematical Reflections – Issue 6 2018
Article #1

Kronecker-Weyl Density Theorem
by Titu Andreescu and Marian Tetiva

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Article #2


by

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Problem Column

The deadline for submissions is January 15, 2019

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Solutions

Solutions to Mathematical Reflections 5, 2018:

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Mathematical Reflections – Issue 5 2018
Article #1

About an Old Romanian TST Problem
by Titu Andreescu and Marian Tetiva

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Article #2

Unexpected Applications of Mean Value Theorem(s) in Number Theory
by Navid Safaei

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Problem Column

The deadline for submissions is November 15, 2018

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Solutions

Solutions to Mathematical Reflections 4, 2018:

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Mathematical Reflections – Issue 4 2018
Article #1

Convergence of Root Location Algorithms with Random Initial Points
by Joshua Siktar

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Article #2

by

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Problem Column

The deadline for submissions is September 15, 2018

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Solutions

Solutions to Mathematical Reflections 3, 2018:

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Mathematical Reflections – Issue 3 2018
Article #1

Power-sum Problem, Bernoulli Numbers & Bernoulli Polynomials
by Arkady M. Alt

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Article #2

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Problem Column

The deadline for submissions is July 15, 2018

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Solutions

Solutions to Mathematical Reflections 2, 2018:

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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


by

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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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Mathematical Reflections – Issue 1 2018
Article #1

Searching for Homogeneity Across Multi-Variable Polynomials
by Navid Safaei

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Article #2


by

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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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