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 Dec8 awarded Caucus Sep15 comment Construct function with known asymptotes @Arthur, yeah, I think that would work for me. If I can play a bit with the maximum distance between the point where the lines cross and $f$. This is basically the answer by Martigan after his update. Sep15 comment Construct function with known asymptotes And after back transformation that works for me. Thanks. Sep15 accepted Construct function with known asymptotes Sep15 comment Construct function with known asymptotes Than I get, as per your answer, $a=2$ and $b=r_2-r_1$. Sep15 comment Construct function with known asymptotes Is was thinking about (for $x_0=0$ and $y_0=0$) and then subtracting $(r_1+r_2)x/2$ from both functions? Sep15 comment Construct function with known asymptotes Your hints are helping. Any thought on which transformation would work? Apart from the obvious translation to the origin. Sep15 revised Construct function with known asymptotes added 5 characters in body Sep15 comment Construct function with known asymptotes @Semiclassical I see your point, I will update the question accordingly. Sep15 revised Construct function with known asymptotes Added two constraints Sep15 comment Construct function with known asymptotes @Eleven-Eleven That would mean that either $r_1=0$ or $r_2=0$, which does not make sense for my case. Suppose $r_2>r_1>0$, would this test ever be an issue? Sep15 asked Construct function with known asymptotes Sep5 comment What is the difference between $\propto$ and $\sim$ @Marc Formally that is what I am doing, although the limit is implicitly taken (i.e. based on physical grounds). Sep5 comment What is the difference between $\propto$ and $\sim$ @Jean-ClaudeArbaut Thanks, I have the wiki-page open already :). For the first one I am quite certain, my doubt is mainly in the second one. Sep5 comment What is the difference between $\propto$ and $\sim$ @Marc I have a balance equation (momentum). Basically, I keep the largest terms on both sides. They are not equal anymore, and I think $\approx$ does not feel right, but I want to indicate that they more or less scale in the same way. I am wondering if $\sim$ would be appropriate. Someone told me $\propto$ and $\sim$ mean the same thing. But I am not convinced. Sep5 asked What is the difference between $\propto$ and $\sim$ Aug29 comment Solving the 2D Poisson equation with variable boundary location @rajb245 I think you have to decide that you want to eliminate $C$ from the pde :) Jul24 comment Determining the maximum value for the solution of this delay differential equation? I need some time to understand everything I learned so far, gave me a lot new insights today. I will need some time to reevaluate everything now, but might be back with more questions later. Thanks anyhow up till now! Jul24 comment Determining the maximum value for the solution of this delay differential equation? I think I did that implicity, by not using the $f''(\tau)$, but by working with $f''(t_{max})$. I think I now understand why you do it like that. Thanks for your update to your answer. Jul24 comment Determining the maximum value for the solution of this delay differential equation? For $f''$ I found that $f''=-\alpha f'(t-\delta)$, so this last derivative can be bound from above, with the upper bound you already gave in this answer. (Again from $f''_{max}=(1-3f_{max}^2)f'(t_{max})-\alpha f'(t-\delta)$.