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Sep
1
awarded  Popular Question
Jan
8
comment Iterated Function System Definition
@Dan Christensen Understood. However, if the set were to fulfill the requirements of the Cantor set, would that be $f_3(x)$?
Jan
8
comment Iterated Function System Definition
I do realize that the functions could be completely arbitrary, but I was interested in distinguishing how IFSs are used with fractals.
Jan
8
accepted Iterated Function System Definition
Jan
8
comment Iterated Function System Definition
Oh, I see. If it were to be a fractal, however, would that be the case?
Jan
8
comment Iterated Function System Definition
You would have to provide a starting function though, correct? In other words, it would always be $f_1(x)$.
Jan
8
comment Iterated Function System Definition
The only implicit assumption is that $f(x)$ is somehow defined and that, as you said, each one maps $X$ to itself?
Jan
8
comment Iterated Function System Definition
Would the third function be: $f_3(x) = \frac{x}{3} + \left( \frac{2}{3} + \frac{\frac{x}{3} + \frac{2}{3}}{3}\right)$?
Jan
8
asked Iterated Function System Definition
Feb
27
comment Leibniz Rule Check: $h(x)=\int_{0}^{2x - 1} f(t) dt$
That makes sense - so at $x = 2.5$ there is a relative maximum.
Feb
27
accepted Leibniz Rule Check: $h(x)=\int_{0}^{2x - 1} f(t) dt$
Feb
27
revised Leibniz Rule Check: $h(x)=\int_{0}^{2x - 1} f(t) dt$
edited body
Feb
27
comment Leibniz Rule Check: $h(x)=\int_{0}^{2x - 1} f(t) dt$
Sorry for the crummy picture!
Feb
27
asked Leibniz Rule Check: $h(x)=\int_{0}^{2x - 1} f(t) dt$
Feb
5
revised What does the long '|' mean?
deleted 13 characters in body; edited title
Feb
5
comment What does the long '|' mean?
Makes sense, thanks.
Feb
5
accepted What does the long '|' mean?
Feb
5
comment What does the long '|' mean?
How is that integration?
Feb
5
asked What does the long '|' mean?
Feb
1
awarded  Commentator