## 31 JulSome Favourite Mathematical Constants

Mathematical constant are really exciting and wonderful in the world of numbers. All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination. Just as physical constants provide “boundary conditions”...

## 25 JulNavier-Stokes equation

This is an equation which describes the motion of an incompressible fluid and is given by ∂∂t ui + j=13uj∂ui∂xj = ν Δ ui - ∂p∂xi + fi (x,t) x  R3, t ≥ 0, 1 ≤ i ≤ 3 div u = j=13∂uj∂xj = 0...

## 23 JulBirch Swinnerton-Dyer conjecture

This is a conjecture regarding the number of rational points in elliptic curves i.e. curves in two-dimensional plane with the equation y2 = x3 + a x + b  for some whole numbers a,b. In the early 1960’s, the British mathematicians Brian Birch and Peter Swinnerton-Dyer started...

## 20 JulInterview with Srinivasa Varadhan

Srinivasa Varadhan, known also as Raghu to friends, was born in Chennai (previously Madras) in 1940. He completed his PhD in 1963 in the Indian Statistical Institute (ISI), Calcutta, and has been in Courant Institute of Mathematical Sciences since 1963. An internationally renowned probabilist, he...

## 12 JulThe Flower Puzzle

Consider the following puzzle: There are three temples say A, B and C. A priest takes with him some flowers and visits A. The flowers instantly double itself, and the priest keeps some of those flowers in A and proceeds towards B. At B also the...

## 09 JulGod Particle: “If Universe is the answer what is the question…??”

The whole conversation starts with Higgs Boson. If you are from non-physics background then just think it is a hypothetical sub-atomic particle with extremely negligible life span. It exists for a mere fraction of second. The specialty of Higgs boson particle is that it is...

## 05 JulDiligimus Cognition (We Love Knowledge) (5)

1. According to an article published in the magazine “Hornbill” of  the Bombay Natural History Society, the “____________” is a new fad and a fast growing hobby of environmentalists to reduce carbon emission to save the planet from the vagaries of climate change.  The article...

## 23 JunPushing Back the Incomputable – Alan Turing’s Ten Big Ideas

There is nothing remarkable about mathematicians’ achievements going unrecognised in a wider world changed by their discoveries. The hidden history of Alan Turing is just a particularly bizarre example — one we can expect to become much better known during the 2012 centenary of his...

## 22 Jun50 questions on linear algebra for NET and GATE aspirants

Find the correct options:   1)  $$M=\left(\begin{array}{ccc}1 & 2 & 2 \\0 & 2 & 2 \\0 & 1 & 1 \end{array}\right)$$ and $$V={ Mx^{T} : x\in R^{3}}.$$ Then $$dim V$$ is (a)   0   (b)   1   (c)   2   (d)   3   2)  $$A^{2}-A=0,$$ where $$A$$ is a $$9\times 9$$ matrix....