## 10 MarDiligimus Cognition (We Love Knowledge) (4)

1. The “X” usually refers to a thin and relatively flexible tube which can be inserted into the body cavity or a vessel. In certain cases the tube may be solid, hard and inflexible. Predominantly used in the drainage of fluids from various parts of...

## 07 MarPoincare Conjecture

[Editor's Note: Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and a philosopher of science. He is often described as a polymath, and in mathematics as The Last Universalist, since he excelled in all fields of the discipline as it existed during his lifetime. This is the...

## 04 Mar‘জৈৱ তথ্য প্ৰযুক্তি’ – বিজ্ঞানৰ এক নতুন দিগন্ত

আপুনি বাৰু পৃথিৱীৰ কিমান বিধ প্ৰাণী অথবা উদ্ভিদৰ নাম ক’ব পাৰিব? বোধকৰোঁ জানি আচৰিত হ’ব যে পৃথিৱীত এতিয়ালৈকে এক নিযুততকৈও অধিক ভিন্ন প্ৰজাতিৰ প্ৰাণী তথা উদ্ভিদ আৱিষ্কৃত হৈছে | আধুনিক বিজ্ঞানৰ ন ন পদ্ধতিৰ প্ৰয়োগেৰে বিজ্ঞানী সকলে এই বিচিত্ৰ জীৱ জগতৰ বিষয়ে নিতৌ নতুন তথ্যৰ...

## 27 FebNumber magic

Recently I found all the 22 existing ways to put 0 to 9 in the equation of a product such that each number occurs exactly once. And here they are: 5694×3=17082 6819×3=20457 6918×3=20754 8169×3=24507 9168×3=27504 3907×4=15628 7039×4=28156 9127×4=36508 5817×6=34902 3094×7=21658 4093×7=28651 9304×7=65128 9403×7=65821 594×27=16038 495×36=17820 402×39=15678 396×45=17820 715×46=32890 367×52=19084 297×54=16038 927×63=58401 345×78=26910   Also, as an extension, did the same after excluding zero: 1738×4= 6952 1963×4= 7852 483×12= 5796 297×18= 5346 198×27= 5346 157×28= 4396 186×39=...

## 26 Febগণিত- এটা বিৰক্তিকৰ বিষয়!

গণিত- সঁচাকৈয়ে এটা বিৰক্তিৰ বিষয়। কিয়নো...

## 26 FebA closer look into a well-known quotient ring

The ring \$\$Z[i]={a+ib: a,b in Z, i^{2}=-1}\$\$  is quite a well- known ring in Algebra. Further, being a principal ideal domain, every ideal of \$\$Z[i]\$\$  is generated by a single element say \$\$a+ib in Z[i]\$\$ and so can be taken in the form \$\$<a+ib>={(x+iy)(a+ib): x,y...

## 25 FebRiemann’s Hypothesis

[Editor: This is the second post in a series about the Millenium Problems. This post is about the Riemann Hypothesis, probably the single most fascinating unsolved problem in all of mathematics. This hypothesis was first proposed by the mathematician Bernhard Riemann. Georg Friedrich Bernhard Riemann...

## 13 FebGonit Sora completes 100 posts

This is the 100th post in this website. And I thought it best that this be a non mathematical post. I would like to take this opportunity to say something about us and what we would like to do in the future. We started out...

## 11 FebThe Millennium Problems

Recently Prof. Malay Dutta (Department of Computer Science and Engineering, Tezpur University) gave a talk on the Millennium Problems in mathematics. We present to you a series of 8 articles written by Prof. Dutta where he speaks about the problems in detail. This is the...

## 11 FebIndian National Mathematical Olympiad 2012

The Indian National Mathematical Olympiad 2012 was held on 5th February, 2012 at various centres all over the country. The North East had three centres at Guwahati, Shillong and Agartala. The questions  are given below: 1. Let \$\$ABCD\$\$ be a quadrilateral inscribed in a circle. Suppose...