## 07 DecA score and a dozen : A collection of math problems

We present a problem collection with solutions for mathematical Olympiads, specially the Regional Mathematical Olympiad (RMO) and the Indian National Matjhematical Olympiad (INMO). The problems have been compiled by Bishal Deb from Salt Brook Academy, Dibrugarh. The set can be downloaded in pdf format here. [ad#ad-2]...

## 28 NovThe number of functions

1) A={a, b, c, d, e} and B={x, y, z}. Then the number of surjections that can be defined from the set A to the set B is (সংহতি A = {a, b, c, d, e} ৰ পৰা সংহতি B = {x, y, z} লৈ পাব...

## 28 NovWhat number should come next

“ANY number can be the next term in the usually given set of terms. [...

## 27 NovThe Kavli Prize

The Kavli Prize is one of the highly respected prizes in science in the 21st century. It recognises scientists for their seminal advances in three research areas: Astrophysics, nanoscience and neuroscience. Consisting of a scroll, a gold medal and a cash award of 1 million...

## 09 NovThe Vocabulary of Mathematical Analysis

1. Introduction The English word “vocabulary” refers to the “list of words” used in communicating one’s thought (or knowledge) to the others, and the English word “analysis” refers to the “resolution into simple elements”. Hence, according to the English dictionary, the “vocabulary of analysis” should refer...

## 09 Nov15 questions on Real Analysis for NET and GATE aspirants

Find the correct option: 1. Let $$f:[2,4]\rightarrow R$$ be a continuous function such that $$f(2)=3$$ and $$f(4)=6.$$ The most we can say about the set $$f([2,4])$$ is that   A. It is a set which contains [3,6]. B. It is a closed interval. C. It is a set which contains 3 and 6. D....

-:15 questions on Real Analysis for NET and GATE aspirants:- The answers: 1. D , 2. A , 3. C , 4. B , 5. B , 6. C , 7. C , 8. D , 9. B , 10. C , 11. , 12. A ,...

## 23 OctIndian Science Academies Summer Research Fellowships 2013

The three national Science Academies offer several two-month Summer Fellowships to enable students/teachers (studying/teaching in India) to work with scientists associated with the three Academies during 2013. A list of names of scientists/faculty who have consented to guide students/teachers to work on short-term projects is...

## 19 OctOn Chaos in Dynamical Systems

It is well-known that in Newtonian dynamics, motion is controlled by certain differential equations along with certain initial conditions. The problem is formulated in such a manner that it becomes deterministic i.e. given the initial condition the subsequent motion is predictable i.e. there is one-one...