Mathematical Reflections – Archive

2021 Issues

Mathematical Reflections - Issue 5 2021
Article #1

On the Relationship Between Inversive Geometry and the Cardinalities of Infinite Sets
by Akshaya Chakravarthy

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Article #2


by

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Problem Column

The deadline for submissions is November 15, 2021

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Solutions

Coming soon

Additional Resources
Available in our bookstore in late September!
Mathematical Reflections – Issue 4 2021
Article #1

Midpoint of Symmedian Chord
by Srijon Sarkar

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Article #2


by

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Problem Column

The deadline for submissions is September 15, 2021

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Solutions

Solutions to Mathematical Reflections 3, 2021:

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Additional Resources
This is a great book for the MR readers
Mathematical Reflections – Issue 3 2021
Article #1

Cubic Polynomials Revisited
by Maitreyo Bhattacharjee

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Article #2


by

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Problem Column

The deadline for submissions is July 15, 2021

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Solutions

Solutions to Mathematical Reflections 2, 2021:

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Additional Resources
If you want to learn more about polynomials…
Mathematical Reflections – Issue 2 2021
Article #1

Additive Functions on Domains
by Navid Safaei

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Article #2


by

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Problem Column

The deadline for submissions is May 15, 2021

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Solutions

Solutions to Mathematical Reflections 1, 2021:

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Additional Resources
Learn more about Functional Equations from…
Mathematical Reflections – Issue 1 2021
Article #1

A Tetrahedron Whose Faces Have Equal Area Is “Equifacial”
by Titu Andreescu and Marian Tetiva

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Article #2


by

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Problem Column

The deadline for submissions is March 15, 2021

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Solutions

Solutions to Mathematical Reflections 6, 2020:

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Additional Resources
Discover natural mathematical vistas…
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
Learn more geometry from…
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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