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 Dec 11 comment Cleaning up InverseLaplaceTransforms in Mathematica @SjoerdC.deVries Probably Simplify and FullSimplif give combinations of hyperbolic sine and cosine functions, and OP would prefere to have the result in the form of exponentials. Dec 10 comment FindFit not giving a good fit despite good initial parameters It would be helpful if you submitted at least the data that you're fitting. Also, what version of Mathematica are you using? Nov 29 comment An easier and more efficient way to combine lists? @kale could you say how fast is Array in your setup? Nov 29 comment MathKernel and MathLM interaction @Searke it contradicts my observations. It happened to me few times (two times I guess) that I lost part of my work some time after the crash of the server running MathLM. But in all these cases I was working in the frontend, not in pure MathKernel. Nov 29 comment Is there an equivalent of MATLAB's Workspace window in Mathematica? You might be interested in this Stack Overflow question: Profiling memory usage in Mathematica and especially the answer by Alexey Popkov. Nov 29 comment Simplify Binomial Function It is interesting, that Simplify[Binomial[n, k]/Binomial[n, 1 + k], ComplexityFunction -> f] with your definition for f gives Binomial[n, k]/Binomial[n, 1 + k]. It looks like Simplify does not try enough transformations of Binomial. Nov 21 comment generating pdf using UseFrontEnd welll it seems you don't need the UsingFrontEnd command to plot = Plot[x^2,{x,-2,2}] and Export["/home/username/output.jpg",plot]. The reference says that UsingFrontEnd is neccesary for NotebookWrite[] and similar functions (I have used it to NotebookPrint[] some time ago). Nov 21 comment generating pdf using UseFrontEnd this might help: superuser.com/questions/381807/… Nov 16 comment Eigensystem, Eigenvalue doesn't output nonreal eigenvalues @jak N @ Eigenvalues @ F is the same as N[ Eigenvalues[ F ] ] and the same as F // Eigenvalues // N. So these are the three ways of using functions on some arguments. Nov 10 comment Problem overloading D[] using UpValues OK, I can do D[#, r] & /@ (r + ftest[r, r^2]), but this is not the solution I hope for, I want to make creation of Derivative[_,_][ftest][_,_] not possible for D[] Nov 10 comment Problem overloading D[] using UpValues @Mr.Wizard I expect the result to be 1 + ftest[1, 2r], just as J.M. wrote Nov 6 comment Faster simplification of linear combinations of some specific functions @DanielLichtblau This sounds very promising. However, my goal is rather to make simplification faster (possibly not lowering the compression level). Unfortunately I don't know how to include Experimental`OptimizeExpression[] to my code. This would probably require substantial changes.