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Jul
26
comment $|g(x)| \leq K \int_a^x|g| \ \ \forall x \in I$
See this answer.
Jul
25
comment Prove that a subset of a separable set is itself separable
That's not the case, $d(x_i,e_{(i,j)})\lt r_j$. And that's because each $e_{(i,j)}$ is choose to be a point of $B(x_i,r_j)$.
Jul
25
revised Prove that a subset of a separable set is itself separable
Being consistent with earlier notation.
Jul
25
comment Prove that a subset of a separable set is itself separable
@Wanderer Done.
Jul
25
revised Prove that a subset of a separable set is itself separable
added 327 characters in body
Jul
23
comment Some way to integrate $\sin(x^2)$?
Oh well it's concavity.
Jul
23
comment Some way to integrate $\sin(x^2)$?
How does one get the estimate $\cos\left(\frac\pi2 t\right)\geq 1-t$? Drawing the things it's obvious.
Jul
23
comment Integrating Fresnel Integrals with Cauchy Theorem?
possible duplicate of Some way to integrate $\sin(x^2)$?
Jul
22
revised Why if a function is holomorphic and injective in neighbourhood of $x_0$ then $f'(x)\ne 0$ in neighbourhood of $x_0$?
deleted 2 characters in body; edited title
Jul
21
revised Does there exist a polynomial $f(x)$ with real coefficients such that $f(x)^2$ has fewer nonzero coefficients than $f(x)$?
edited tags
Jul
20
comment Problem about $\lim \limits_{x \to c} f'(x) = l $ implies $f'(c) = l$
Hello, given that you solved completely your problem I encourage you to add your own answer, to keep what you've learned somewhere, make it useful for others and keep this out from the unanswered queue :-)
Jul
19
revised Find $\frac{d^2y}{dx^2}$ as a function of $x$ if $\sin y+\cos y=x$
added 12 characters in body; edited title
Jul
17
awarded  Great Question
Jul
14
revised Prove $A = (A \setminus B) \cup (A \cap B)$
edited tags
Jul
13
answered if $\epsilon >0$, then there exists $\delta > 0$ such that if $Q$ is partition with $||Q||< \delta$, then $L(Q;f) \geq L(f) - \epsilon$
Jul
13
revised Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?
Typo.
Jul
3
awarded  Revival
Jul
3
answered Why is every conformal bijection between disks a linear fractional transformation?
Jul
1
comment Prove that if $a,b \in \mathbb{R}$ and $|a-b|\lt 5$, then $|b|\lt|a|+5.$
This answer does contain enough detail.
Jul
1
revised Integration of powers of the $\sin x$
English