## 29 MayAHSEC 2014 Question Papers - Part I

We are very pleased to announce that we have been able to find the Assam State Higher Secondary Education Council (AHSEC) 2014 question papers for a few subjects, thanks to our team member, Bishal Deb. Here are some of those available for download: Physics (Theory) Computer Science and...

## 13 May50 Multiple Choice Questions

Find the correct option:   1) The units digit of the number $$17^{1983}+11^{1983}-7^{1983}$$ is A) 3 B) 1 C) 9 D) 2   2) If $$G$$ is a cyclic group of order 24 and $$a^{2002}=a^n$$ where $$a\in G$$ and $$0<n<24.$$ Then the value of $$n$$ is A) 4 B) 6 C) 8 D) 10   3) The ring $$Z[x]$$...

## 13 MayHomi Jehangir Bhabha, the Renaissance Man

Bhabha is a great lover of music, a gifted artist, a bril-liant engineer and an outstanding scientist. He is the modern equivalent of Leonardo da Vinci. — Sir C V Raman at the Annual Meeting of the Indian Academy of Science, Nagpur, 1941 Homi Jehangir Bhabha was...

## 13 MayInterview with Tony Chan (陳繁昌)

Professor Tony Fan-Cheong Chan is currently President of the Hong Kong University of Science and Technology. He was previously Assistant Director of the US National Science Founda-tion (NSF) in charge of the Mathematical and Physical Sciences Directorate, which is the largest directorate of the NSF...

## 12 MayStatistics Quiz (I)

1) For a forward difference table the points $$(x_0,y_0),(x_1,y_1),(x_2,y_2),dots$$ with $$h=x_1-x_0=x_2-x_1=dots$$ so on, and for the function $$y=x^n,$$ say, which of the following statements is true? A) $$frac{Delta^2y_0}{h^2}=12$$ B) $$frac{dy}{dx}=3x^2$$ C) $$frac{d^2y}{dx^2}=6x|_2=12$$ D) $$frac{Delta^2y_0}{h^2}=frac{d^2y}{dx^2}|_{x=x_1}$$   2) “If $$f(x)$$ is continuous in $$(a,b),$$ then for any $$x$$ in that interval, we shall...

## 12 MayJugendtraum of a Mathematician

1. Kronecker’s Jugendtraum There is a phrase “Kronecker’s Jugendtraum (dream of youth)” in mathematics. Leopold Kronecker was a German mathematician who worked in the latter half of the 19th century. He obtained his degree at the University of Berlin in 1845 when he was 22 years...

## 24 AprThe Genesis of Topology

[In Historical Perspective]      [Creators of Modern Topology] There are indications that there is growing interest among mathematicians in the history of the development of Mathematics. We believe that the there is reason to be glad with such a tendency. After many hundred years of explosive development,...

## 24 AprNumberland

[caption id="attachment_5730" align="aligncenter" width="627"] Art : Bedanga Kakaty, Class X.[/caption] [caption id="attachment_5731" align="aligncenter" width="630"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5732" align="aligncenter" width="629"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5735" align="aligncenter" width="631"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5736" align="aligncenter"...

## 21 AprCertainty Problems and The Pigeonhole Principle

The pigeonhole principle is one of those simple yet beautiful, widely used theorems with lots of applications. Any high school going kid may understand what the theorem wants to say, yet its beauty baffles and brings excitement in even the most experienced mathematician. Someone has...

## 01 AprAbel Laureate 2014

Probably, the first thing that comes to the mind of a mathematics student when he hears Abel is abelian group. This terminology of the special commutative groups is actually a respect to the legendary mathematician Niels Henrik Abel. The adjective “abelian”, derived from his name,...