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 Apr20 awarded Popular Question Apr11 asked if $f$ is in Banach space, then $\nabla f$ is in the dual space? Mar30 revised Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? added 14 characters in body Mar30 comment Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? Sry I forgot to mention: $A$ is psd. updated. Mar30 comment Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? I attached the source of the claim. Mar30 comment Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? Good point. I also attached the source to the question. Mar30 comment Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? Yes, I think you are right. Mar30 revised Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? added 164 characters in body Mar30 asked Is $\frac{ x^T A A x }{ 1+ x^TAx}$ is upperbounded by the biggest eigenvalue of $A$? Mar30 accepted Does $a \leq b + c$ imply $a^2 \leq (b+c)^2 + (b-c)^2$? Mar30 asked Does $a \leq b + c$ imply $a^2 \leq (b+c)^2 + (b-c)^2$? Mar8 accepted Inverse of a special matrix Mar7 asked Inverse of a special matrix Jan23 asked The expected number of mutations in a sequence of elements, each with random delays Jan12 accepted Prove $\mathbb{P}( k < l/2 ) \geq \frac{l}{2} \times \mathbb{P}( k = l/4 )$ for binomial variable $k$ Jan12 asked Prove $\mathbb{P}( k < l/2 ) \geq \frac{l}{2} \times \mathbb{P}( k = l/4 )$ for binomial variable $k$ Dec19 awarded Caucus Dec14 accepted For what sequences $a_n$ does the sequence $(1+\alpha a_n)^n$ converge? Dec14 comment For what sequences $a_n$ does the sequence $(1+\alpha a_n)^n$ converge? oh I see. thanks! Dec14 comment For what sequences $a_n$ does the sequence $(1+\alpha a_n)^n$ converge? Why is it that for $\beta < 1$ the limit would be undefined?