MathBeginner

97 Questions

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If $T\in M_{n\times n}(\mathbb R)$ invertible, why is $T^tT$ positive definite?

Aug 21 at 23:25 blub 3,459
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Continuous function $f:\mathbb R\to \mathbb R$ such that $f(B)$ is not measurable for a Borel set $B$.

Aug 22 at 0:45 Batominovski 33.3k

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Mellin transform : why $\lim_{\delta\to 0^+}\int_r^R f(te^{i\delta})(te^{i\delta})^{a-1}dt=\int_r^R f(t)t^{a-1}dt$?

Jun 30 '18 at 13:51 MathBeginner 757

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Why $\|f\|^{q}_{L^q(\mathbb R^d)}\leq \left<f^{q-1},G*f^{q-1}\right>$?

Jan 7 '18 at 17:10 MathBeginner 757

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Why $\left|\int f f^{q-1}\right|=\|f\|_q^q$?

Jan 6 '18 at 17:42 tristan 2,199

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Why $\log(\frac{2R}{|x|})\geq C(n-k+1)$ for $2^{k}\leq|x|<2^{k+1}$?

Dec 21 '17 at 9:50 MathBeginner 757

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