Mathematica Weekly Newsletter - Monday, July 28, 2014

Top new questions this week: Symbolic solution(s) to generalized Heat equation Symbolic solution(s) to Heat equation? or more generally,(eventually) Green functions to known PDEs I am interested in variations of the heat equation: or more generally or even more generally … differential-equations symbolic   asked by chris 20 votes answered by Jens 13 votes Best practice of passing a large number of parameters to functions I have a number of functions which all take a large number of parameters. I am wondering which is the best practice of passing these parameters to those functions. I could of course simply specify the … function-construction replacement variable-definitions guidelines   asked by Uwe Thümmel 15 votes answered by Mr.Wizard 12 votes Is there a way to recreate the typical Red/Blue-Postereffect using Mathematica? I think nearly all of us have at least once seen an image like this: So I wondered whether it is possible to recreate this effect using Mathematica because it seems like it wouldn't need that many … image-processing   asked by Levix 14 votes answered by kale 13 votes HoldForm doesn't hold form In Mathematica version 10, HoldForm no longer produces the same results as in version 8 (edit: I only have versions 10 and 8 installed, so can't compare to version 9 directly). Here are some examples … plotting evaluation bugs formatting   asked by Jens 13 votes answered by Simon Woods 10 votes How can I mend this broken heart? Try to evaluate the following code: ContourPlot3D[(x^2 + 9/4 y^2 + z^2 - 1)^3 == x^2 z^3 + 9/80 y^2 z^3, {x, -6/5, 6/5}, {y, -6/5, 6/5}, {z, -6/5, 3/2}, Mesh -> None, Boxed -> False, … plotting numerics   asked by LCFactorization 12 votes answered by Rahul Narain 18 votes Changing Values in an Association using Map I am trying to change the value of one key in an association based on the value of another key in that association. So if my association starts as: x=<|"firstValue" -> True, "isFirstValueTrue" … map hold associations   asked by HorseWith 11 votes answered by Leonid Shifrin 13 votes Geographic background containing both outlines and contours: how? I would like to create a map which will show lakes and rivers together with elevation contours and contour labels. What is the simplest way to do this with GeoGraphics in version 10? The solution I … geography   asked by Szabolcs 11 votes answered by WReach 11 votes Greatest hits from previous weeks: Get a "step by step" evaluation in Mathematica Is it possible in Mathematica to get a step-by-step evaluation of some functions; that's to say, outputting not only the result but all the stages that have led to it? Example : Let's say I want to … evaluation interactive   asked by Skydreamer 53 votes answered by Ｊ. Ｍ. 44 votes Finding real roots of negative numbers (for example, $\sqrt[3]{-8}$) Say I want to quickly calculate $\sqrt[3]{-8}$, to which the most obvious solution is $-2$. When I input $\sqrt[3]{-8}$ or Power[-8, 3^-1], Mathematica gives the result "$2 (-1)^{1/3}$". Not what I … numerics polynomials algebraic-manipulation complex   asked by jtbandes 32 votes answered by Brett Champion 11 votes Can you answer these? Partial Differential Equation in Parallel is there any native way to implement multi-core parallel solving of PDE in Wolfram Mathematica? WM 10 now supports Finite Elements Method, but it is actually useless without parallelization. Usually … differential-equations parallel simulation mesh   asked by user18790 5 votes Bug in TreeForm: "Plot" formatted as True I believe I have come across a rather curious bug in TreeForm: {"foo", "bar", "Plot"} // TreeForm Note that the string "Plot" is formatted as True. Unless I have accidentally changed something … output-formatting bugs   asked by Mr.Wizard 4 votes Wrong font selection for some characters in Mathematica 10 for Linux I've just started using Mathematica 10 on Linux and have immediately run into problems with the fonts. Fonts on Linux are always a headache, but I had managed to find a reasonable one in "Century … version-10 fonts linux   asked by Xerxes 3 votes

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