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Apr
16
accepted Integral equal to Riemann Zeta Function
Apr
16
comment Integral equal to Riemann Zeta Function
I had an idea of needing to split the integral up, and the Integration by Parts was my first thought...forgot about hypotheses
Apr
15
asked Integral equal to Riemann Zeta Function
Apr
13
comment Showing $(f^{-1}∘g^{-1})=(g∘f)^{-1}$
@James Taylor Going off of what Brian said, inverses always reverse order when you take away the parentheses in the composition. You'll see this in analysis as well as algebra.
Apr
13
revised How much does Proof writing improve over the years?
added 161 characters in body
Apr
13
asked How much does Proof writing improve over the years?
Apr
11
comment Request For An Example Of A Continuous Map Relative To The Box Topology On $\mathbb{R}^J$, When $J$ Is Infinite
@Saaqub Mahmuud Consider functions in Hilbert Spaces, I believe there's a close relation here between the two.
Apr
7
comment $f$ defined $|f(x) - f(y)| \leq |x - y|^{1+ \alpha}$ Prove that $f$ is a constant.
You've wedged the limit between 0 and 0, so you can conclude it's zero. The derivative doesn't require the absolute value. You have $0 \leq f'(x) \leq 0$.
Apr
7
asked If $f \geq 0$ is continuous and $\int_{a}^{b} f(x) \, dx = 0$, then $f =0$
Apr
7
revised Show that $T(\partial \mathbb{H^n} \cap U)=\partial \mathbb{H^n} \cap V$ where T is a $C^1$ diffeomorphism
changed phi to emptyset
Apr
7
suggested approved edit on Show that $T(\partial \mathbb{H^n} \cap U)=\partial \mathbb{H^n} \cap V$ where T is a $C^1$ diffeomorphism
Apr
7
comment Show that $T(\partial \mathbb{H^n} \cap U)=\partial \mathbb{H^n} \cap V$ where T is a $C^1$ diffeomorphism
What is $\mathbb{H}^n$?
Apr
6
accepted Continuous function with finitely many discontinuities is Riemann Integral
Apr
2
comment Continuous function with finitely many discontinuities is Riemann Integral
Ahhh, this is rather helpful. So we're 'cheating' by not knowing what values $f$ takes on in the little $2\delta$ interval around $x_0$, but clearly it must remain bounded. This makes sense. What is still odd to me, is the chopping of the interval between the discontinuities into $n$ parts and then looking at each of the $n$ parts, and why this is necessary.
Apr
2
asked Continuous function with finitely many discontinuities is Riemann Integral
Apr
2
comment Show that $f(a,b)$ is one-to-one
@jon Suppose on the contrary, and arrive at a contradiction. Suppose $f(a) = f(b)$. for $a \neq b$ OR prove it directly.
Mar
31
awarded  Nice Question
Mar
31
comment Valid proof of Young's Inequality?
@Martin Sleziak changed accordingly.
Mar
31
revised Valid proof of Young's Inequality?
edited tags
Mar
31
revised Valid proof of Young's Inequality?
added 99 characters in body