# Mahdi Khosravi

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Imam Ali (AS) : o Allah! I refuge to you from the knowledge in which there is not profit. (Nahjul Fasaha - 517th Hadith)

Ph.D. Candidate of Sharif University of Technology

Electrical Engineering Department

# 77 Questions

 26 Find the value of $\space\large i^{i^i}$? 12 Does $z^i=i^z$ have any solutions, beside $z=i$? 11 integer solutions of $a^3 + b^2 = 100000$ 10 The value of $\sqrt{1-\sqrt{1+\sqrt{1-\sqrt{1+\cdots\sqrt{1-\sqrt{1+1}}}}}}$? 9 How to justify the solution of this problem?

# 2,428 Reputation

 -2 How to prove that if $f(x)$ is primitive over $GF(2^m)$ then its reciprocal is primitive too? +10 The indefinite integral $\int{\frac{\mathrm dx}{\sqrt{1+x^2}}}$ +5 How to show that : If $\int x^n f(x) dx = 0$ for all $n$ then $f(x) = 0$ for all $x$ +5 number of strictly increasing sequences of length $K$ with elements from $\{1, 2,\cdots,N\}$?

 14 Evaluating the derivative of $\large \;e^{e^x}$? 8 The indefinite integral $\int{\frac{\mathrm dx}{\sqrt{1+x^2}}}$ 5 The no. of values of k for which $(16x^2+12x+39) + k(9x^2 -2x +11)$ is perfect square is: 5 If $\alpha +\beta = \dfrac{\pi}{4}$ prove that $(1 + \tan\alpha)(1 + \tan\beta) = 2$ 5 What does $a\equiv b\pmod n$ mean?

# 83 Tags

 20 calculus × 22 9 inequality × 3 17 derivatives × 3 8 matlab × 4 16 probability × 16 8 trigonometry × 4 13 integration × 5 8 indefinite-integrals 9 algebra-precalculus × 11 6 optimization × 12

# 12 Accounts

 Mathematics 2,428 rep 631 Signal Processing 233 rep 19 Cryptography 152 rep 8 TeX - LaTeX 125 rep 4 Theoretical Computer Science 124 rep 6