## 10 JanApplications of Sylow Theorems

Sylow Theorem's is Group Theory are an important mathematical tool. Below we give a simple application of the theorems. Theorem: If \$\$H\$\$ and \$\$K\$\$ are subgroups of \$\$G\$\$ and \$\$Hleq N_G(K)\$\$, then \$\$HK\$\$ is a subgroup of \$\$G\$\$. In particular, if \$\$K\$\$ is normal is \$\$G\$\$...

## 08 JanNEST 2012: Exam Alert

National Entrance Screening Test (NEST) is a compulsory test for students seeking admission to National Institute of Science Education and Research (NISER), Bhubaneswar and University of Mumbai - Department of Atomic Energy Centre for Excellence in Basic Sciences (UM-DAE CBS), Mumbai. Both NISER and UM-DAE...

## 05 Janপ্ৰফেছৰ ভলভলীয়াৰ সংখ্যাৰ দোকান

অৱসৰ লোৱাৰ পাছত প্ৰফেছৰ ভলভলীয়াই এখন সংখ্যাৰ দোকান খুলিলে। বিভিন্ন ধৰ্মৰ, বিভিন্ন ৰূপৰ, বিচিত্ৰ চৰিত্ৰৰ অলেখ সংখ্যা তেখেতৰ দোকানত কিনিবলৈ পোৱা যায়। কেতিয়াবা ভাল মুডত থাকিলে গ্ৰাহকে বিনামূলীয়াকৈয়ো দুই এটা সংখ্যা তেখেতৰ পৰা পায়। এদিন ৰাতিপুৱা দোকান খুলি ইউক্লিড, আৰ্কিমিডিছ, অয়লাৰ, গাউছ, ৰামানুজন আদি গণিতজ্ঞসকলৰ...

## 05 JanSome interesting properties about some prime numbers

OBSERVATION I: You know the definition of prime numbers. Now I am going to tell you some interesting properties about some prime numbers. I observe that there are only three primes having two digits which are also consecutive, have a special property. When I added the...

## 28 DecMath Unlimited: Essays in Mathematics

Math Unlimited: Essays in Mathematics is a collection of essays written by experts in various fields of mathematics for students. It is a collection of essays that spans pure and applied mathematics as well as the spread of mathematical ideas and techniques in other areas,...

## 28 DecAn Interview with Prof. Sujatha Ramdorai

Prof. Sujatha Ramdorai is an Indian mathematician currently associated with the University of British Columbia, Canada. She is also a professor in the School of Mathematics at the Tata Institute of Fundamental Research, Mumbai. Prof. Sujatha is an internationally reputed algebraic number theorist whose work...

## 18 DecInvisibility tends to reality

Can invisibility be reality? A query which has been in the back of curious minds of the scientific giants and even the common masses throughout many generations, has finally found a positive answer and the credit for it unquestionably goes to science and particularly to...

## 18 DecThe Variables

Mathematics deals with situations in everyday life . The situations are, however, varied in nature. We come across instances of unknown or variable quantities in the course of the day. For example, when we travel in a bus, the speed of the bus keeps on changing;...

## 17 DecA Theoretical study on Negative Refractive Index Metamaterials (Review)

We are pleased to share a presentation that our Consulting Editor, Madhurrya Prakash Talukdar gave at the Technical Session of the Assam Science Society in 2011 held at Dibrugarh University. His paper was titled "A Theoretical study on Negative Refractive Index Metamaterials (Review)" and will...