498 reputation
213
bio website tudelft.nl
location Delft, Netherlands
age 26
visits member for 1 year, 4 months
seen Apr 4 at 5:16

Mar
13
comment Scaling a function with two 'asymptotes' of which one is non-constant
The slope would be fixed if that's what you mean. Essentially it will be the same as the graph in my question but with all curves having (all the same) slope $dy/dx\neq0$ at $x=0$ instead of the current case with $dy/dx=0$ at $x=0$
Mar
13
comment Scaling a function with two 'asymptotes' of which one is non-constant
Just a quick follow-up, if the lefthand asymptote is also a linear function instead of a constant, could I still apply a similar transformation?!
Mar
13
revised Scaling a function with two 'asymptotes' of which one is non-constant
changed small error in calculation of t
Mar
13
suggested suggested edit on Scaling a function with two 'asymptotes' of which one is non-constant
Mar
12
comment Scaling a function with two 'asymptotes' of which one is non-constant
I was indeed looking for a linear transformation. Sorry, forgot to mention that. Thanks for the answer! - Just for future reference: the choice of $t$ to map everything on the red curve in my case would be $t=(1-y_{as})/(y_0-y_{as})$ where $y_{as}$ is the value of the horizontal asymptote of the given function
Mar
12
asked Scaling a function with two 'asymptotes' of which one is non-constant
Mar
12
asked Relation of common divisors leading to integer results
Feb
6
revised Find the asymptote of an experimental dataset
added 77 characters in body
Feb
6
comment Find the asymptote of an experimental dataset
Ok, good to know! Thanks!
Feb
4
comment Find the asymptote of an experimental dataset
@leftaroundabout , I am 100% sure the curve I am showing has an asymptote, because this is a stand-in for my experimental data and I created it with an asymptote: $y(x)=3/(x+1)+2+0.2rand()$. --- I would like to know whether there is any technique that doesn't involve fitting a function that would allow me to estimate this asymptote
Feb
4
asked Find the asymptote of an experimental dataset
Jan
29
accepted Approximating $\tanh(B\sqrt{A} )$ for small $A$ and arbitrary $B$ by correcting for asymptotic behaviour of $\tanh$
Dec
21
awarded  Yearling
Dec
4
comment Approximating $\tanh(B\sqrt{A} )$ for small $A$ and arbitrary $B$ by correcting for asymptotic behaviour of $\tanh$
I just found this question, I think that could be helpful for this particular case: math.stackexchange.com/questions/107292/…
Dec
4
comment Approximating $\tanh(B\sqrt{A} )$ for small $A$ and arbitrary $B$ by correcting for asymptotic behaviour of $\tanh$
How did you come up with $\tanh x \approx 1 - e^{-1.48x}$? If there is some strategy to that which I can also apply to the complete function which contains the $\tanh$ that would be perfect. Using the $\tanh$ itself is not an option because I need to solve an equation of the type $A + \tanh(B \sqrt{A})=1$ explicitly for $A$.
Dec
4
comment Approximating $\tanh(B\sqrt{A} )$ for small $A$ and arbitrary $B$ by correcting for asymptotic behaviour of $\tanh$
Strictly it can be anywhere between 0 and $\infty$, but the range I am interested in is roughly 0 to 50.
Dec
4
revised Approximating $\tanh(B\sqrt{A} )$ for small $A$ and arbitrary $B$ by correcting for asymptotic behaviour of $\tanh$
edited title
Dec
4
asked Approximating $\tanh(B\sqrt{A} )$ for small $A$ and arbitrary $B$ by correcting for asymptotic behaviour of $\tanh$
Nov
1
comment Why does the moment of approximation matter for the end result?
@AntonioVargas - I have tried the Newton's method approach for the full equation I am working on (the one here is just a minimal example to reproduce the behaviour) and it does indeed give a somewhat better approximation, although at the expense of having a significantly bigger equation. Thanks!
Oct
30
comment Why does the moment of approximation matter for the end result?
So would it be appropriate then to take again a Taylor series of (4) because this function is no longer linear in $a$? Because doing that would indeed result in the same answer as (3)