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Feb
4
awarded  Popular Question
Dec
17
comment surface has two geodesic with fixed angle must be a developing surface
Yes, it is a regular surface contained in $R^3$!
Dec
16
comment surface has two geodesic with fixed angle must be a developing surface
I mean, as $u$-curve and $v-curve$ are two families of curves, there exists two families of curves, each of which are consist of geodesics, what's more every two pair of curves comes from the two families respectively forms a constant angle $\theta$.
Dec
12
asked surface has two geodesic with fixed angle must be a developing surface
Dec
8
revised Does the dual space of $W^{1,2}(B)$ contain $L^1(B)$
edited title
Dec
8
asked Does the dual space of $W^{1,2}(B)$ contain $L^1(B)$
Nov
30
asked Are Morrey spaces reflexive?
Jul
20
accepted Construct an exactly smooth function as a cutoff of half ball with vanishing normal dirivative
Jul
19
asked Construct an exactly smooth function as a cutoff of half ball with vanishing normal dirivative
May
21
awarded  Inquisitive
May
20
asked Calculate a Limit and find the Sup
Jan
22
awarded  Popular Question
Jan
13
comment Compute complex Gaussian integral
I can only show the nonvanishing near $z=0$, when $z$ is large, certainly there are zeros of $\det(A(z))$.
Jan
12
comment Compute complex Gaussian integral
It seem in order to show that $f(z)=\sqrt{\det A(z)}$, where $A(z)=A+z(e_{ij} +e_{ji} )$, is holomorphic, I need to show that $C∖\{\det(A(z))|Re(A(z))>0\}$ can be cutted by a path from $0$ to $\infty$ , but what I can show is only that $f(z)$ is nonvanishing near $z=0$.
Jan
11
comment Compute complex Gaussian integral
It seems not easy to show that both sides are holomorphic, in fact use the complex one variable theory, it is not clear what is the domain space of $z_{ij}=a_{ij}+b_{ij}i$.
Jan
11
accepted Compute complex Gaussian integral
Jan
10
comment Compute complex Gaussian integral
@paulgarrett can you formulate an answer?
Jan
10
revised Compute complex Gaussian integral
added 45 characters in body
Jan
10
comment Compute complex Gaussian integral
@NickThompson Sorry I forgot a condition, that $A$ is symmetric. Thanks Paul garrett, I check the excercise again, and find the missing condition.
Jan
10
comment Compute complex Gaussian integral
@NickThompson Yes.