## 09 Nov Answers

-: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 ,...

-: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 ,...

Theoretical Physics, considered one of the most thrilling, exciting and pain staking branches in all of sciences, deals with explaining the mysteries of the universe in the beautiful complexities of mathematics as it has been the language of physicists from time immemorial. The brilliant minds...

This article is a crazy generalization of the Flower puzzle by Ankush Goswami published in Gonit Sora on 12th July 2012. We now suppose that instead of three there are $$m$$ temples $$A_{1}, A_{2},dots ,A_{m }$$ and instead of doubling, the flowers increase $$n$$ times...

The 53rd International Mathematical Olympiad (IMO) was held this year at Mar del Plata, Argentina. The question papers can be downloaded here. The 52nd IMO was held last year at the Netherlands. The IMO problem short-list with the solutions of that IMO can be downloaded here. The...

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...

Posted at 15:16h
in Articles, English, Ganit Bikash, History, Millennium Problems, Problems
2 Comments

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...

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...

The CSIR June NET-JRF question paper can be downloaded here. [ad#ad-2]...

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....

Posted at 11:45h
in Articles, Computer Science, English, Ganit Bikash, History, Millennium Problems, Problems, Sci-Tech
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[Editor's Note: This is the next part in our series on the Millennium Problems.] This is a problem in the area of computational complexity which deals with efficiency of algorithms. An alphabet A is a finite nonempty set of symbols and a computational problem over A...