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Jan
15
comment What is lower limit condition of a surface of a tetrahedron?
Can we have only one lower condition ? or impossible. If it exists, it should be cyclic .for example, the lower condition could be $|S_2-S_3|+|S_3-S_4|+|S_2-S_4|<S_1$ but I do not know if it exists such cyclic condition or how to prove that it is impossible to eliminate 3 necessary condition into one condition.
Jan
5
comment $e^x(\ln x-c) =\sum \limits_{k=0}^\infty \frac{ x^{k} \Gamma'(k+1)}{ (k!)^2}$ Is it correct result?
I have asked a question in math.overflow that is related to your computation a long time ago. mathoverflow.net/questions/227642/… . I saw your comment about your result. Thanks a lot for your comment. It is very supporting comment but the question is voted as off-topic. . I am sure that it is very interesting and helpful topic question. Could you please edit my question in overflow for more formal mathematical perspective? Thanks
Nov
4
comment Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem.
Please check Leibniz integral rule. The proof has similiar idea. en.wikipedia.org/wiki/Leibniz_integral_rule#Proofs Then have a look the title 'General form with variable limits' in the page
Nov
4
comment Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem.
The integral depends on $t$ but we take limit on $h$.
Sep
21
comment (Beginner) Intuition to solve a functional equation and steps for this particular-
@Chappers Thanks for those points
Sep
21
comment What is $\sum\limits_{i=1}^n \sqrt i\ $?
@Seirios $f(n)-f(n-1)=\sqrt{n}$ it is a function relation and I solved it for $n∈R$ via derivatives and integration. .Please think $n∈R$ for $f(n)-f(n-1)=\sqrt{n}$. The solution that I found after derivatives and integration is also true for $n∈N$ because $N∈R$.
Aug
25
comment Endpoints of a 3D line
You define a circle on plane. You cannot find $A$ and $B$.. You would need to give a direction to get one value of $A$ and $B$ pair.
Aug
7
comment How did Euler give a sum to the divergent series $…x^{-3}+x^{-2}+x^{-1}+1+x^1+x^2+x^3.. = 0$?
I asked a question about that subject..: . I got also the same result as euler gotvia using series solution in first method. Please see my question . math.stackexchange.com/questions/1359401/…
Jul
14
comment Fourier transforms of $f(t)=\frac{\sin{at}}{t}$
+1 very nice answer. You wrote all steps in clear way.
Jul
13
comment Is $ \sum_{n=-\infty}^\infty x^n=0 $?
I updated my question . Can there be any connection with Ramanujan’s mysterious expression about infinity sum of numbers with my infinity sum result? . It was strange in the begining before checking the result for extention zeta function
Jun
3
comment How to find minimum distance path between 2 points on a surface
@mathreadler Thanks a lot for your comment. I try to find out theoretical solution for exact shortest path equation via calculus. I know we can do many things via computer algorithms but I am not interested in that way.
Jun
2
comment How to find minimum distance path between 2 points on a surface
We cannot use it here. Because $t_1$ and $t_2$ fixed points. Please check the link I gave.
May
29
comment Tangent points on circle that placed on Earth surface
@user86418 That's right. but please think that it is not a unit sphere .It has radius $R$
Apr
20
comment Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$
Yes İt could be .Thanks for comment. I just wanted to give a hint how to approach for such problems.
Apr
20
comment Binomial Theorem of Differentiation?
You are welcome.
Apr
20
comment Binomial Theorem of Differentiation?
Yes . It will work you can use that method to prove the multinational but it will has longer terms. You may try to find the coefficients of $e^{xh}e^{yh}e^{zh}=e^{(x+y+z)h}$. Good luck
Apr
3
comment Is there a formula for $\sum_{n=0}^{+\infty} q^{n^3}$?
Have you seen my question on the subject? I will be appreciated if you check.math.stackexchange.com/questions/358407/… Thanks
Apr
3
comment To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
@Noam D. Elkis I think that you mistyped $x^3 = 1/t$, $dx = -t^{-2/3} dt/3$ . I have updated it as $dx = -t^{-4/3} dt/3$ . Thanks a lot for your great answer.
Feb
12
comment General solution to ODE $ y''-Ay^5=0 $
You can use the same way as I showed for other similiar question.math.stackexchange.com/questions/166981/…
Nov
14
comment Analysis of the function $\prod_{n=-\infty}^{ \infty }(1-e^{-a{(x+n)^2} })$
@AleksVlasev Could you please give more detail? Thanks