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9h
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
Nov
13
comment Analysis of the function $\prod_{n=-\infty}^{ \infty }(1-e^{-a{(x+n)^2} })$
@sonystarmap Wonderful result. Exactly As I expected in theory. I wonder if the function can be expressed as f(x)=A(a)sin2πx or not. I mean if G(x,a) does not to depend on x . I try to prove or disprove it now. Maybe you can help me via Matlab codes draw G(x,a).Is it possible depends on only a ? Thanks a lot
Nov
13
comment Analysis of the function $\prod_{n=-\infty}^{ \infty }(1-e^{-a{(x+n)^2} })$
@sonystarmap Thanks a lot.
Nov
4
comment To find the general formula of $\overbrace{g(g(g(…g(x))}^\text{n}=g_n(x)=\frac{A_{n}.x+B_{n}}{C_{n}.x+D_{n}}$
I understood that how to get matrix result. I had applied in my question. I will try to get result via eigenvalues . Thanks
Nov
4
comment To find the general formula of $\overbrace{g(g(g(…g(x))}^\text{n}=g_n(x)=\frac{A_{n}.x+B_{n}}{C_{n}.x+D_{n}}$
how can that relation be proved? Please advice a method.
Nov
4
comment To find the general formula of $\overbrace{g(g(g(…g(x))}^\text{n}=g_n(x)=\frac{A_{n}.x+B_{n}}{C_{n}.x+D_{n}}$
It is very nice. I wonder something if it is possible to express $A_n,B_n,C_n,D_n $ as exponential functions as we can do for $F_n$ or not?
Oct
13
comment How to find sum of coefficients of $\frac{d^n}{dx^n} \left( Z(x)^m \right)$
Really nice approach: I liked the way you used $Z(x)=e^x$ in $U$ Function . It made very easy proof and also thanks for generalized formula.
Oct
10
comment How to find sum of coefficients of $\frac{d^n}{dx^n} \left( Z(x)^m \right)$
@marco trevi: It is the function that depends on x
Aug
14
comment How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
@Winther Thanks a lot for comments. The final expression is very beautiful. I will focus on some examples to confirm .It can be used as a nice tool.
Aug
14
comment How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
@ChristianBlatter $$ f(x)+\frac{y.f''(x)}{2!}+\frac{y^2 f^{(4)}(x)}{4!}+\cdots=\frac{1}{2} (e^{\sqrt{y}S}(f(x))+e^{-\sqrt{y}S}(f(x)))=\frac{1}{2}(f(x+\sqrt{y})+f(x-\sqrt{y‌​}))$$ but I am looking for a closed form of $ f(x)+\frac{y.f''(x)}{1!}+\frac{y^2 f^{(4)}(x)}{2!}+\cdots$ if we can express it as $\sum a_n(y)f(x+b_n(y))$ or not
Aug
14
comment How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
@Winther I updated as you commented. Is it correct what I got? It seems The form is an integral transform of that operator but no any relation for a linear f formula. Maybe I need to do some more transforms in last integral to get my aim. Thanks for advice
Aug
14
comment How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
@Winther Could you please check my last edit? I believe it can help to prove or disprove that a linear in f-formula exists or not. Thanks for help.
Aug
6
comment Remove unlogical points (noise) in a curve
@tknew the second link shows in examples how it works . If It looks ok to use for your purpose , you may try the library. I think first one finds only one strange value but you need to define more. Maybe you can run three times the function to find your three strange value via using first link library. Really this depends on you. Mostly filters have been used for signals that flows in real time. This kind of real time signals can have any time noise and we cannot estimate how many input affected.