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# 240 Posts

 Apr4 answered Vector spaces and intersections Mar9 answered A beautiful inequality for convex functions Nov1 answered prove $f(x)$ has at least $2n$ roots Oct23 answered Limit of $x_n/n$ as $n\to\infty$ Oct22 answered A Problem on Improper Integrals Oct22 answered For a closed plane curve, showing some inequalities. Oct21 answered Computing a limit almost surely using the strong law of large numbers Oct21 answered convergence of total variation measure Oct20 answered Order of Double Coset Oct18 answered If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational Oct17 answered Show that $\int_{1}^\infty \dotsb\int_{1}^\infty \frac{dx_1 \dotsb dx_n}{x_1^{\alpha_1}+\dotsb + x_n^{\alpha_n}}<\infty$ Oct16 answered Inequality involving partial sums of $\frac{|\sin{kx}|}{k}$ Oct11 answered Functions satisfying $(b-a)f'(\tfrac{a+b}{2}) = f(b)- f(a)$ Oct7 answered How prove this $f(a)\le f(b)$ Oct2 answered How find this$\frac{1}{{{p}_{1}}}+\frac{1}{{{p}_{2}}}+…+\frac{1}{{{p}_{n}}}<10$ Sep30 answered How prove this mathematical analysis by zorich from page 233 Sep30 answered How to prove that there exists $g(x)$ such $\int_{0}^{1}g(x)dx\ge\frac{1}{2}\int_{0}^{1}f(x)dx$ Aug3 answered Kernel of this action is trivial? Aug2 answered Pieces of divergent series divertimento. Aug2 answered Given that the roots of the quadratic equation $x^2+2ax+3a=0$ lie between $-1$ and $1$, what are the possible values of $a$?