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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
Jun
29
comment Roots of Legendre Polynomial
Roots are simple
Jun
23
comment $z_0$ non-removable singularity of $f\Rightarrow z_0$ essential singularity of $\exp(f)$
Regarding your explanation that if $z_0$ is a pole of then it's an essential singularity of $e^f$, you claim that the image of some open disk contains the complement of a disk. The definition of being a pole implies that the image of some disk is contained in the complement of a disk, I fail to see the inclusion in the other direction. How do you find a disk, such that any $z$ outside has a preimage?
Jun
2
comment Winding number of a point outside the curve is 0
Cauchy's Theorem for an open disk is enough here.
Jun
2
revised Winding number of a point outside the curve is 0
Fixing title. TeXing
May
18
revised Does the set of differences of a Lebesgue measurable set contains elements of at most a certain length?
added 3 characters in body
May
14
answered Why is a Möbius transform uniquely determined based on known mappings of three points?