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 Yearling
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Aug
23
comment Systems of Linear Equations- number of solutions
What do you know of linear algebra?
Aug
22
comment Finding the slope of a curve with a given point
Do you know how to compute the derivative of a function? Do you know what it represents?
Aug
10
comment Write a linear equation that represents this scenario.
Is this homework?
Aug
9
comment Picard's theorem analogue for difference equations?
Ah, no. I look at this as a functional equation and that is why I write $x(t)$. I expect that if $f$ is analytic then there is an analytic solution for the equations (at least to some domain). You can think of it as the Gamma function which is an analytic function that satisfies $\Gamma(t+1)=t\,\Gamma(t)$. I understand that this is not unique but I am wondering whether I can get existence and some bound somehow.
Aug
8
comment What is this expression means? $\sin^{-2}x$
Could be both. It's bad notation. You have to guess by context.
Aug
8
asked Picard's theorem analogue for difference equations?
Mar
24
comment Generating function of 1 over binomial
Thanks! That helps a lot.
Mar
24
accepted Generating function of 1 over binomial
Mar
23
revised Generating function of 1 over binomial
edited body
Mar
23
comment Generating function of 1 over binomial
Very true! Thanks.
Mar
23
asked Generating function of 1 over binomial
Jan
21
awarded  Yearling
Jan
7
comment a.e. convergence of a piecewise constant function $f_h(t)=\left\lfloor \frac{t}{h} \right\rfloor \cdot h$
The convergence is uniform. Just find a bound for $|t-f_h(t)|$.
Dec
26
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
added 229 characters in body
Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
added 8 characters in body
Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
added 8 characters in body
Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
added 1 character in body
Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
added 206 characters in body
Dec
25
asked Changing the order of integration in the proof that Laplace maps convolution to multiplication
Nov
10
comment Convergence of $\sum_{n=0}^{\infty}(-1)^{a_n}$ for non-negative integer $a_n$.
Since the absolute value of the terms is 1, the series does not converge in the "traditional" sense. It may converge if you sum it up in a special way, but there are complications. I would suggest you to look at this wikipedia article en.wikipedia.org/wiki/Summation_of_Grandi%27s_series