# Chandrasekhar

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bio website google.co.in location Chennai, India age 24 member for 10 months seen 1 hour ago profile views 68

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Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game. - G.H. Hardy

A Mathematician's Apology (London 1941).

 18 How can I show that $\begin{pmatrix} 1 & 1 \\ 0 & 1\end{pmatrix}^n = \begin{pmatrix} 1 & n \\ 0 & 1\end{pmatrix}$? 7 Prove: $\sin (\tan x) \geq {x}$ 4 Inequality…(RMO $1994$…question $8$) 3 Transforming a Riemann Sum to an integral. 3 Find $\lim_{x \to \pi/2} \frac{1 - \sin{x}}{(2x - \pi)^2}$ without using L'Hospital?

# 558 Reputation

 +25 How do we approach this summation question? +2 Evaluate $\int {x \choose n} \ dx$ (Problem 798 Crux Mathematicorum) +10 Alternating Series Proof +10 How can I show that $\begin{pmatrix} 1 & 1 \\ 0 & 1\end{pmatrix}^n = \begin{pmatrix} 1 & n \\ 0 & 1\end{pmatrix}$?

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# 17 Tags

 18 matrices 3 limits 18 linear-algebra 3 integration 11 inequality × 2 3 riemann-sum 8 trigonometry × 3 2 homework × 2 7 calculus × 3 2 algebra-precalculus

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 MathOverflow 1,434 rep 11436 Mathematics 558 rep 8 Physics 483 rep 1114 Unix & Linux 446 rep 416 TeX - LaTeX 299 rep 113