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seen Aug 23 at 7:31

I am an engineer who is in love with math and lifelong math student. I love to learn new things in mathematics for self-satisfaction. My idols are Gauss , Euler , Ramanujan because they were in love with math as I feel.


Aug
14
answered Simple geometry problem
Aug
14
revised How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
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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
revised How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
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Aug
14
revised How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
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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
14
revised How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
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Aug
14
revised How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
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Aug
12
answered How to show that a given line has a certain equation?
Aug
12
revised How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
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Aug
12
asked How to express $e^{yS^2}(f(x))$ in closed form where $\frac{d}{dx}=S$
Aug
6
revised Find $\sum _{ n=-\infty }^{ \infty }{ \frac { 1 }{ { \left( j\omega +j\frac { 2\pi n }{ T } \right) }^{ 2 } } }$
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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.
Aug
6
revised Solve simple xor equation
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Aug
6
revised Remove unlogical points (noise) in a curve
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Aug
6
answered Remove unlogical points (noise) in a curve
Aug
6
revised Find $\sum _{ n=-\infty }^{ \infty }{ \frac { 1 }{ { \left( j\omega +j\frac { 2\pi n }{ T } \right) }^{ 2 } } }$
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Aug
6
revised Find $\sum _{ n=-\infty }^{ \infty }{ \frac { 1 }{ { \left( j\omega +j\frac { 2\pi n }{ T } \right) }^{ 2 } } }$
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