312 reputation
215
bio website tudelft.nl
location Delft, Netherlands
age 27
visits member for 1 year, 7 months
seen 9 hours ago

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)
Oct
30
revised Why does the moment of approximation matter for the end result?
choose more appropriate tags
Oct
30
asked Why does the moment of approximation matter for the end result?
Oct
15
comment Approximations other than taylor series and pade approximation
Yes, I would like to have an approximate solution to get a feel for the way the result scales with $K_i$ and $Q_i$. Without having to scan a whole range of these parameters.
Oct
15
asked Approximations other than taylor series and pade approximation
Sep
16
answered Are there any surfaces that contain both positive and negative Gaussian curvature?
Jun
4
awarded  Enlightened
Jun
3
awarded  Nice Answer
May
26
comment A Math function that draws water droplet shape?
@Henry, indeed, a falling liquid droplet will be close to spherical with a slightly flattened bottom part. The shape with the tail is something you will only see for a droplet running down a surface. In that case the tail forms due to a balance of capillary and viscous forces.
May
21
revised Determine if the Series Converges and Explain approach
removed mathematically slopiness
May
18
comment Existence and uniqueness of Stokes flow
@Qmechanic Ok! I have corrected the referencing.
May
18
comment Existence and uniqueness of Stokes flow
Don't pin me down on it, but I believe the situation is only unsolvable if the far-field is unbounded
May
18
answered Existence and uniqueness of Stokes flow
May
13
awarded  Caucus
May
4
awarded  Citizen Patrol