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Jul
2
awarded  Curious
Nov
27
asked Proof of definite integral is finite
Nov
18
answered function with zero first to n'th derivative at end points
Nov
18
comment Algorithm for obtaining the surface of a mirror
a question with good research effort..!!
Nov
17
revised function with zero first to n'th derivative at end points
edited title
Nov
17
revised function with zero first to n'th derivative at end points
added 152 characters in body
Nov
17
asked function with zero first to n'th derivative at end points
Nov
15
asked finding a function with given boundary conditions
Aug
12
awarded  Commentator
Aug
12
comment derivative of a function using cosine transform
since this was the only answer, I award bounty to the answer.
Aug
2
comment Self-Contained Proof that $\sum\limits_{n=1}^{\infty} \frac1{n^p}$ Converges for $p > 1$
@Srivatsan, can you please look at the question math.stackexchange.com/questions/457418/…
Aug
2
comment Self-Contained Proof that $\sum\limits_{n=1}^{\infty} \frac1{n^p}$ Converges for $p > 1$
@chatur, answer is really similar to answer by N.S
May
13
comment $\int_0^1\frac{(f(x)-1)^2 -4x^2}{x^{3.5}}\,dx$ exists. Calculate $f(0)$ and $f'(0)$
Integral $\int g$ to exist it is necessary that $g$ is finite everywhere. Only possible if$ f(x) = 1 + 4x^2 + kx^n$ which means f(0) = 1 and f'(0) = 0
Mar
6
comment derivative of a function using cosine transform
@peterm, But cant we express any continuous function with Fourier series?
Mar
6
revised derivative of a function using cosine transform
added 5 characters in body
Mar
6
asked derivative of a function using cosine transform
Mar
6
accepted What does the symbol $\Delta$ stands for?
Mar
6
accepted Number of ways of selecting 4 numbers from 20 numbers under certain condition
Mar
6
comment finding derivative at intermediate point of known data set
Thanks a lot for the answer Paul. Number of points for which function is defined is very large (n~3000). So I was wondering if instead of using polynomial function as approximation can I use something like Cosine transform to find derivatives.
Mar
6
comment finding derivative at intermediate point of known data set
@Paul, there is unique $\zeta$ such $f(x_{\zeta}) = 0.5$, and function is monotonic. function represents interface between to phases and with 0 representing one phase and 1 representing other phase. values of f(x) between 0 to 1 depict linear combination of phases.