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0 votes
0 answers
123 views

How to decompose the given function into several peaked functions like Gaussian or Lorentzian?

During applied mathematics, I am wondering how to decompose the data $[x,y]$ into several elliptic-shaped functions, namely $$f[x,y]= H \cdot \left( 1 + \bigl( \frac{x-x_1}{a_1} \bigr)^2 + \bigl( \...
Ui-Jin Kwon's user avatar
0 votes
1 answer
26 views

Volume of Revolution $f(x) = x^2$

Suppose you are given $y = f(x)$ I want to use double integrals, instead of the traditional washers. Suppose even better, $f(x) = x^2$ Find the volume of $f(x) = x^2$, $x = 0$, $x = 4$, $y = 0$ &...
Ama's user avatar
  • 491
27 votes
9 answers
148k views

What is a simple example of a limit in the real world?

This morning, I read Wikipedia's informal definition of a limit: Informally, a function f assigns an output $f(x)$ to every input $x$. The function has a limit $L$ at an input $p$ if $f(x)$ is "...
Hal's user avatar
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