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Mar
20
revised $T$ is a linear operator
Latex Corrections
Mar
11
revised Positive numbers inequality
added 87 characters in body
Mar
11
revised Positive numbers inequality
deleted 16 characters in body
Mar
11
revised Positive numbers inequality
edited body
Mar
11
revised Positive numbers inequality
edited body
Mar
11
revised if $p \mid (a^2 + b^2 )$, $p \nmid a$ and $p \nmid b$. Prove that there exists an integer $c$ such that $c^2 \equiv −1 \mod p$.
Latex Corrections
Mar
4
revised Find all solutions to $x^{10} = 1 \pmod {377}$
minor corrections
Mar
2
revised Prove that there is an increasing sequence $\{a_n\}$ of points in $A$ such that $\lim a_n = \sup A$.
minor correction
Jan
29
revised Find $\lim_{x\to \infty}{[({1\over e}(1+{1\over x})^x)]^x}$.
corrected the latex
Nov
19
revised show that $\mathsf E(Y|X)=\mu_2+\rho\dfrac{\sigma_2}{\sigma_1}(X-\mu_1)$
edited body
Nov
17
revised Can product of two singular matrices be invertible?
The implications go both ways
Nov
15
revised Jensen’s inequality
edited body
Oct
27
revised Prove $\int_0^{2\pi}\frac{3a\sin^2\theta}{(1-a\cos \theta)^4}$ or $\int_0^{2\pi}\frac{\cos\theta}{(1-a\cos\theta)^3}=\frac{3a\pi}{(1-a^2)^{5/2}}$
added 25 characters in body
Oct
27
revised Prove $\int_0^{2\pi}\frac{3a\sin^2\theta}{(1-a\cos \theta)^4}$ or $\int_0^{2\pi}\frac{\cos\theta}{(1-a\cos\theta)^3}=\frac{3a\pi}{(1-a^2)^{5/2}}$
added 1 character in body
Oct
27
revised Prove $\int_0^{2\pi}\frac{3a\sin^2\theta}{(1-a\cos \theta)^4}$ or $\int_0^{2\pi}\frac{\cos\theta}{(1-a\cos\theta)^3}=\frac{3a\pi}{(1-a^2)^{5/2}}$
added 1354 characters in body
Oct
27
revised Prove $\int_0^{2\pi}\frac{3a\sin^2\theta}{(1-a\cos \theta)^4}$ or $\int_0^{2\pi}\frac{\cos\theta}{(1-a\cos\theta)^3}=\frac{3a\pi}{(1-a^2)^{5/2}}$
added 367 characters in body
Oct
26
revised Prove $\int_0^{2\pi}\frac{3a\sin^2\theta}{(1-a\cos \theta)^4}$ or $\int_0^{2\pi}\frac{\cos\theta}{(1-a\cos\theta)^3}=\frac{3a\pi}{(1-a^2)^{5/2}}$
added 171 characters in body
Oct
26
revised Prove $\int_0^{2\pi}\frac{3a\sin^2\theta}{(1-a\cos \theta)^4}$ or $\int_0^{2\pi}\frac{\cos\theta}{(1-a\cos\theta)^3}=\frac{3a\pi}{(1-a^2)^{5/2}}$
added 192 characters in body
Sep
25
revised Prove that $E[Y_1 + Y_2\mid X=x] $…
Corrections and general facelift
Sep
24
revised Subordinate norm is equal to $\Vert A\Vert_M=\Vert MAM^{-1}\Vert$ for the norm $\Vert x\Vert_M=\Vert Mx\Vert$
deleted 124 characters in body