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क्षेत्रीय गणित ओलिंपियाड – 2013

क्षेत्रीय गणित ओलिंपियाड – 2013

समय: तीन घंटा दिसम्बर 01, 2013 निर्देश: · किसी भी तरह कैलकुलेतर तथा चांदा (protractor) के उपयीग की अनुमति नहीं है। · पैमाना (ruler) तथा परकार (compass) उपयीग किये जा सकते हैं। · सभी

Regional Mathematical Olympiad – 2013

Time: 3 hours December 01, 2013 Instructions: · Calculators (in any form) and protractors are not allowed. · Rulers and compasses are allowed. · Answer all the questions. · All questions carry equal marks. Maximum marks: 102. · Answer to each question should start on a new page. Clearly indicate the question number. 1. Let

লিঅ'নাৰ্ড অইলাৰ

লিঅ'নাৰ্ড অইলাৰ

লিঅ’নাৰ্ড অইলাৰ (Leonhard Euler) — গণিত-বিজ্ঞানৰ বৰ্ণিল ইতিহাসৰ এক স্বৰ্ণময় অধ্যায়, সৰ্বকালৰ এগৰাকী বিখ্যাত গণিতজ্ঞ আৰু মহান দাৰ্শনিক। গণিতৰ আকাশৰ

Shaw Prize in Mathematical Sciences 2013 — David L Donoho

The Shaw Prize was established by the well-known 106-year-old Hong Kong media mogul and philanthropist Sir Run Run Shaw in 2002. Often considered as the Asian Nobel Prize, it was first awarded in 2004 and honours individuals who have made “significant breakthroughs in academic and scientific research or application and

Iranian Mathematician Maryam Mirzakhani Receives 2013 AMS Satter Prize

AMS Satter Prize

Iranian Mathematician Maryam Mirzakhani Receives 2013 AMS Satter Prize

Iranian math scientist Maryam Mirzakhani has received the 2013 biennial Satter Prize in mathematics presented by American Mathematical Society. The Satter Prize is dedicated to a woman to recognize and appreciate the winner’s mathematical accomplishments. This prize was established in 1990 using funds donated by Joan S Birman in

SET (N. E. Region) 2012 Exam Question Papers

2012 exam question paper

SET (N. E. Region) 2012 Exam Question Papers

The 2012 exam question papers of Mathematical Sciences, Assamese, English, Economics, Education, History, Philosophy, Political Science, Geography, Manipuri, Bodo, Bengali, Hindi, Anthropology, Sanskrit, Sociology, Commerce, Chemical Science, Life Science and Physical Science for SET conducted by SLET Commission, Assam can be found here and the answer keys of papers can

Relating the Universal Relatives

Albert Einstein

Relating the Universal Relatives

This article bears a completely non mathematical approach to relativity , and rather a philosophical viewpoint and is intended for high school students and for those who are very new to the theory. Science, the other name for craze has led numerous people in history to come up with breathtaking breakthroughs

Gross-Zagier formula

Two Evenings with B H Gross

Professor Benedict H Gross is the George Vasmer Leverett Professor of Mathematics at Harvard University. He is a number theorist who has made fundamental contributions to many aspects of the subject. His most famous result is the Gross-Zagier formula, whose generalisations and higher dimensional analogues continue to fascinate mathematicians. Professor

A theorem on right angled triangles

A theorem on right angled triangles

Theorem: In a Right-Angled Triangle with sides in A.P. Series, the distance between the point of intersection of median & altitude at the base is 1/10th the sum of other two sides. This Theorem applies in Two Conditions: 1. The Triangle must be Right-Angled. 2. Its Sides are in

Six Degrees of Separation: Math Quest

Six Degrees of Separation: Math Quest

The following was published in the October 2013 issue of the magazine, Young NE. We thank its editor for permission to reproduce it here. We have so far seen many different mathematical things from prime numbers to simple calculation tricks. In this issue I would like to say about something

Mathematical Theory of Love

Mathematical Theory of Love

Mathematical Theory of Love

Abstract: The Mathematical Theory of Love is based on the following axioms: a) everyone is able to love; b) an individual “i” love value can be expressed as a term Li; c) Li love value can vary over time: Li(t). As per the First Theorem of Love, individual love

A new method of squaring and cubing

Calculation Tricks

A new method of squaring and cubing

Below we demonstrate a simple method to find nth power of a number. Here we’ll take examples to find Square & Cube of a number through Points marked on 2 faces & 3 faces of a Triangular Pyramid respectively. Firstly, we are finding cube of a number. 1. We take 3

Higgs Boson: The Nobel Winning Particle

Higgs Boson: The Nobel Winning Particle

Nobel Prize, the most prestigious honor awarded to physicists in his life time for outstanding contribution to physics. In 2013, Nobel Prize in Physics has been awarded to physicist Peter Higgs along with F. Englert for their contribution of Higgs Boson, the particle which is supposed to give mass to

Square through Sqaures

Square through Sqaures

A new formula is derived by Piyush Kumar Goyal known as “Square Through Squares”. Formula is mention below: N2 = [(N-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(N-3)th Sq. on Y-Axis] * [(N-3)th Sq. on X-Axis] Let’s take some examples: 1. Square of 5 52 = [(5-2)th

John F. Nash : A Beautiful Mind

A Beautiful Mind

John F. Nash : A Beautiful Mind

John Forbes Nash, Jr. is an American mathematician who is known for his very revolutionary “Nash Equilibrium” and work in Game Theory. His works in Game Theory, Differential Geometry, and Partial Differential Equations have provided insight into the forces that govern chance and events inside complex systems in daily life.

Eknath Ghate wins the Shanti Swarup Bhatnagar Award 2013

Eknath Ghate wins the Shanti Swarup Bhatnagar Award 2013

Dr. Eknath Prabhakar Ghate Dr. Eknath Prabhakar Ghate, of the School of Mathematical Sciences, Tata Institute of Fundamental Research (TIFR) Mumbai has been selected for the prestigious Shanti Swarup Bhatnagar Prize for Science and Technology for the year 2013 in Mathematical Science category along with seven other scientists in various

Figurate Numbers

Figurate Numbers

Figurate Numbers

Elena Deza and Michel Marie Deza World Scientific, 2011, xviii+456 pp. This book is about special types of numbers (integers) that have geometric associations and that have intriguing spatial properties. The ancient Greeks were perhaps the first to study what are called “figurate numbers” — numbers that can be represented

The Mathematical Sciences in 2025

The Mathematical Sciences in 2025

By Committee on the Mathematical Sciences in 2025; Board on Mathematical Sciences and Their Applications; Division on Engineering and Physical Sciences; National Research Council 191 pages, Published 2013, National Academies Press, Washington, USA. ISBN: 0309268796 The Mathematical Sciences in 2025, a new report from the National Research Council, finds that

The Best Writing on Mathematics 2011 and 2012

The Best Writing on Mathematics 2011 and 2012

The Best Writing on Mathematics 2011 Paperback, 383 pages, Published November 7, 2011 Princeton University Press, ISBN: 0691153159. The Best Writing on Mathematics 2012 Paperback, 288 pages, Published October 22, 2012 Princeton University Press, ISBN: 0691156557. These two volumes of anthology bring together from around the world the finest mathematics

Math Goes to the Movies

A Beautiful Mind

Math Goes to the Movies

Burkard Polster and Marty Ross Johns Hopkins University Press, 2012, ISBN: 978-1-4214-0483-7 (hardback) Also available in paperback (ISBN: 978-1-4214-0484-4) and for Kindle This is an entertaining grab bag of mathematical and movie titbits that will delight mathematically minded movie buffs. The authors also have a website that includes links to

Mathematical Quest 4: More about Primes

Mathematical Quest 4: More about Primes

The following was published in Young NE, Vol. 1, Issue 5 (September 2013). We thank the editor of Young NE for permission to post this here. In the last issue of this column I discussed about prime numbers and why they were so useful for us. In this issue I

Amazing Number Nine

Amazing Numbers

Amazing Number Nine

IT IS VERY INTERESTING TAKE ANY NUMBER OF DIGITS. HERE I AM TAKING 25 AND 32 * YOU CAN WRITE THEM IN FOUR WAYS LIKE THAT(25*32/25*23/52*23/52*32) 25*32=800 25*23=575 52*23=1196 52*32=1664 * SUBTRACT BIGGER ONE TO ANY

Topological Fixed Point Theory

Bass conjecture

Topological Fixed Point Theory

1. Introduction Fixed point theory is very simple, but is based on fundamentals in Mathematics. For any continuous function $$f:Xrightarrow X$$ a fixed point of $$f$$ is a point $$xin X$$ satisfying the identity $$f(x)=x.$$ Two fundamental theorems concerning fixed points are Banach Theorem and Brouwer Theorem.

Approximating Integrals in High Dimensions— An Informal Report

Quasi-Monte Carlo Rules

Approximating Integrals in High Dimensions— An Informal Report

1. Introduction For half a century or more many researchers have grappled with the problem of numerical integration in many dimensions— on the one hand to understand what is possible, on the other to construct and analyse effective algorithms. This is an informal and rather personal account of one part

An Interview with Ian Sloan

An Interview with Ian Sloan

September 3, 2012, in Sydney (Ian Sloan) and Singapore (Peter Hall) Introduction. Ian Hugh Sloan was born in Melbourne on June 17, 1938, and educated at Scotch College, Melbourne, and Ballarat College, before going on to undergraduate degrees in physics and mathematics at the University of Melbourne. Shortly after completing