Department of Mathematics

Aankalan

The Department Journal (2020)

Mathematics department of Hansraj college has always tried to expand it’s boundaries and bring forward new works to keep the legacy of the department go on forever. In accordance to this the Department of Mathematics released first edition of AANKALAN: The Annual Journal of Department of Mathematics, Hansraj College. The publication contains expository as well as research articles, mathematical puzzles and facts, and interviews with distinguished personalities in the field of mathematics. The articles themselves are very informative and also give a glimpse of the applications of mathematics in the fields and activities in which anyone could barely think that mathematics could play a crucial role. The journal provides you very handy information regarding future in mathematics.

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Articles

Set Theory versus Continuum Hypothesis

Since ancient times, the role of Mathematics for rational enquiry of the truth in the foundation of all scientific thoughts has always been acknowledged. Dawn of 19th century was marked by the beginning of...

Dr.   PREETI   DHARMARHA,   Associate Professor
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The Law of Excluded Middle

Since ancient times, the role of Mathematics for rational enquiry of the truth in the foundation of all scientific thoughts has always been acknowledged. Dawn of 19th century was marked by the beginning of...

SHIVAM   BAURAI
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Subgroups of Dihedral Groups

A dihedral group is a group of symmetries of a regular polygon, with respect to function composition on its symmetrical rotations and reflections, and identity is the trivial rotation where the symmetry is unchanged...

EKANSH   JAUHARI
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Probability of Finding Generators of a Cyclic Group

Suppose we pick an arbitrary element from a group. Then what are the chances that the element will generate the group? If the group is non-cyclic, then the chances are obviously...

HARSHIT   AGARWAL
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Fractals and Space-Filling Curves

Humans are fascinated by the beauty of nature, ranging from the Golden Ratio to the never ending nature of the Mandelbrot set, and the beauty it captures. An equally captivating idea is that of...

AMAN   CHAUDHARY
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Cardinality of R2

It is an established result that the |R| = |R2|. The following proof establishes the same result from the aspects of “Linear Algebra”...

DEEPAK   KUMAR
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Introduction to Cryptography

Cryptography is the technique of securing information and communications through the use of codes so that only those people for whom the information is intended can understand it and process...

SHUBHAM   KUMAR   YADAV
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RSA-129

RSA-129 is one of the first Public-key Cryptosystems and is widely used for securing data transmission over devices...

GAURAV   KUMAR
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Pigeonhole Principle

When an intrinsically trivial and intuitive statement has deep implications and consequences, it is naturally intriguing for people, mathematicians and non-mathematicians alike. One such statement is that of the...

ASHUTOSH   MAURYA
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Frobenius Numbers

This article draws its inspiration from an example laid out in one of the books prescribed for the students undertaking a Major in Mathematics in the Delhi University circuit...

SHUBHAM   KUMAR   YADAV
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Trisecting an Angle

Angle trisection, as the name signifies, refers to dividing a given angle into three equal parts. Though this seems quite simple, here is a very trivial point...

ISHITA   SRIVASTAVA
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The Bizarre 25-Card Trick

Magic, especially with cards, has been a source of interest for people of all ages since a long time. Mathematics, which seems monotonous from a superficial view, has given rise to countless fantastic tools...

AMAN   CHAUDHARY
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The Bedrock of Artificial Intelligence

Famous American Mathematics and Science writer Martin Gardner once said, “Mathematics is not only real, but it is the only reality.” It is indeed true. Mathematics in itself is an extremely vast subject and to...

SAHIL   SINGH
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Mathematics in Art

One of the biggest misconceptions prevailing in society is that Mathematics is just about numbers, equations and complex formulae. However, Mathematics encompasses much more than these...

UTCARSH   MATHUR
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Pi and the Great Pyramid of Giza

The oldest of the Seven Wonders of the Ancient World, The Great Pyramid of Giza, also known as the Pyramid of Khufu or the Pyramid of Cheops, situated in Cairo, Egypt, is really a thought provoking enigma...

ANVESHA   KUSHWAH
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Designed & Developed by:   Vedant Goyal  and  Ujjawal Agarwal