Mathematical Reflections – Archive

2024 Issues

Mathematical Reflections - Issue 1 2024
Article #1

An Asymptotic Analysis on the Distribution of Primes via a Continuous Extension of the Factorial Function
by Srijan Sundar

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Article #2


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Problem Column

The deadline for submissions is March 15, 2024

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Solutions

Solutions to Mathematical Reflections 6, 2023:

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Additional Resources

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2023 Issues

Mathematical Reflections – Issue 6 2023
Article #1

Distance Formula for a Point Inside a Triangle
by Hayk Sedrakyan and Diya Gandhi

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Article #2

The Best Constant for an Inequality from Mathematical Reflections
by Titu Andreescu and Marius Stanean

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Problem Column

The deadline for submissions is January 15, 2024

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Solutions

Solutions to Mathematical Reflections 5, 2023:

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Additional Resources

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Mathematical Reflections – Issue 5 2023
Article #1

Chasing a Red Herring
by Titu Andreescu and Marian Tetiva

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Article #2

A New Method to Solve and Refine Algebraic Inequalities
by Mihaly Bencze and Marius Dragan

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Problem Column

The deadline for submissions is November 15, 2023

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Solutions

Solutions to Mathematical Reflections 4, 2023:

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Additional Resources

Coming Soon!
Mathematical Reflections – Issue 4 2023
Article #1

On a Class of Functional Equations
by Titu Andreescu and Marian Tetiva

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Article #2

Projective plane, Extended Complex Plane
by Nguyễn Minh Hà

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Problem Column

The deadline for submissions is September 15, 2023

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Solutions

Solutions to Mathematical Reflections 3, 2023:

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Additional Resources

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Mathematical Reflections – Issue 3 2023
Article #1

A Triangle Ratio Theorem and its Generalization to Higher Dimensions
by Hari Rajesh

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Article #2

Newton’s Quadrilateral Theorem
by Waldemar Pompe

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Problem Column

The deadline for submissions is July 15, 2023

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Solutions

Solutions to Mathematical Reflections 2, 2023:

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Additional Resources

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Mathematical Reflections – Issue 2 2023
Article #1

On a Combinatorial Identity
by Virgil Domocos

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Article #2


by

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Problem Column

The deadline for submissions is May 15, 2023

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Solutions

Solutions to Mathematical Reflections 1, 2023:

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Additional Resources

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Mathematical Reflections – Issue 1 2023
Article #1

A Few Generalizations of the Euler’s Totient Function
by Suzy Manuela Prajea

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Article #2

Solutions for the Frobenius Number in Three Variables
by Srijan Sundar

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Problem Column

The deadline for submissions is March 15, 2023

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Solutions

Solutions to Mathematical Reflections 6, 2022:

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Additional Resources

2022 Issues

Mathematical Reflections – Issue 6 2022
Article #1

An Interesting Generator of Parabolic Systems of Coaxial Circles Using Apollonius’ Problem
by Tran Quang Hung and Truong Tuan Nghia

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Article #2

by

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Problem Column

The deadline for submissions is January 15, 2023

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Solutions

Solutions to Mathematical Reflections 5, 2022:

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Additional Resources

This is a must have book for the MR readers
Mathematical Reflections – Issue 5 2022
Article #1

Sperner’s Lemma and Brouwer’s Fixed Point
by Farzad Rashidi

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Article #2


by

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Problem Column

The deadline for submissions is November 15, 2022

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Solutions

Solutions to Mathematical Reflections 4, 2022:

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Additional Resources

This is a great book for the MR readers
Mathematical Reflections – Issue 4 2022
Article #1

Local Monotony and Continuity
by Suzy Manuela Prajea

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Article #2

Formulas for Diagonals of any Quadrilateral
by Hayk Sedrakyan, Aidan Mozayeni

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Problem Column

The deadline for submissions is September 15, 2022

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Solutions

Solutions to Mathematical Reflections 3, 2022:

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Additional Resources

Any student interested in mathematics would cherish and enjoy this unique collection of meaningful problems and solutions.
Mathematical Reflections – Issue 3 2022
Article #1

The Missing Dominant Terms in a Fourier Series
by C. S. Jog

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Article #2

Solving Functional Equations in R+ Using Inequalities and Sequences
by Mohammad Hossein Rezaei

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Problem Column

The deadline for submissions is July 15, 2022

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Solutions

Solutions to Mathematical Reflections 2, 2022:

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Additional Resources

Any student interested in mathematics would cherish and enjoy this unique collection of meaningful problems and solutions.
Mathematical Reflections – Issue 2 2022
Article #1

Three Reflections
by Waldemar Pompe

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Article #2

A New Approach to the Interior Goat and Bird Problems
by C. S. Jog

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Problem Column

The deadline for submissions is May 15, 2022

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Solutions

Solutions to Mathematical Reflections 1, 2022:

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Additional Resources

Two new books are great resources for students who need to practice for the summer program admission test or for math enthusiasts to work on their problem solving skills.
Mathematical Reflections – Issue 1 2022
Article #1

Concurrency, Coliniarity, and Cyclicity using Homotheties
by Dr. Suzy Manuela Prajea

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Article #2

More on an Extension of Fagnano’s Problem
by Nguyen Minh Ha

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Problem Column

The deadline for submissions is March 15, 2022

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Solutions

Solutions to Mathematical Reflections 6, 2021:

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Additional Resources

Two new books are great resources for students who need to practice for the summer program admission test or for math enthusiasts to work on their problem solving skills.
2021 Issues

Mathematical Reflections – Issue 6 2021
Article #1

Tangential Quadrilaterals and Cyclicity
by Dr. Suzy Manuela Prajea

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Article #2


by

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Problem Column

The deadline for submissions is January 15, 2022

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Solutions

Solutions to Mathematical Reflections 5, 2021:

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Additional Resources

Two new books coming up soon! Great resources for students who need to practice for the summer program admission test or for math enthusiasts to work on their problem solving skills.
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


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Problem Column

The deadline for submissions is November 15, 2021

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Solutions

Solutions to Mathematical Reflections 4, 2021:

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Additional Resources

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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


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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…