================================== Top new questions this week: ================================== [Any ideas on how to use the Region` context?]\url{http://mathematica.stackexchange.com/questions/39184/any-idea s-on-how-to-use-the-region-context} If you type ?Region`* you'll get: which seems a bunch of interesting and not documented symbols. Any idea (or experience) on how to use them? Edit By using our "collective spelunking" I ... - asked by belisarius (23 votes), answered by m_goldberg (12 votes) ---------------------------- [How to create effect like Van Gogh's stroke brush?]\url{http://mathematica.stackexchange.com/questions/39003/how-to-cre ate-effect-like-van-goghs-stroke-brush} I need to apply Van Gogh's stroke brush effect to a random image Take the following image as an example: Thank you so much if you could help! - asked by user10495 (15 votes), answered by Simon Woods (15 votes) ---------------------------- [Elegant high precision `log1p`?]\url{http://mathematica.stackexchange.com/questions/39126/elegant- high-precision-log1p} Sometimes it is hard to understand how numerical expressions are evaluated. I remember reading claims by Wolfram on how smart the Kernel is to evaluate expressions trees numerically by recognizing ... - asked by alfC (12 votes), answered by Mark Adler (7 votes) ---------------------------- [Elegantly split a matrix into positive and negative parts?]\url{http://mathematica.stackexchange.com/questions/39113/elegantly- split-a-matrix-into-positive-and-negative-parts} I have a matrix $M$ of real components, and I want to split it into two matrices $M^+$ and $M^-$ of the same dimensions as $M$, where $M^+$ contains the positive components of $M$ (the remaining ... - asked by becko (12 votes), answered by Yves Klett (20 votes) ---------------------------- [Is there a difference between Divide[a,b] and a/b?]\url{http://mathematica.stackexchange.com/questions/39200/is-there-a-d ifference-between-dividea-b-and-a-b} In this comment it was asserted that Divide[a,b] and a/b are different, though the documentation indicates that they are the same. In particular, it was asserted that a/b is evaluated as a * 1/b, ... - asked by Mark Adler (10 votes), answered by Szabolcs (10 votes) ---------------------------- [How many Christmas gifts?]\url{http://mathematica.stackexchange.com/questions/39338/how-many-c hristmas-gifts} This question is based on the old song, The Twelve Days of Christmas In a comment made on a recent question, Yves Klett remarked, "no seasonal questions this year?" This reminded me of one I solved ... - asked by m_goldberg (8 votes), answered by rm -rf (13 votes) ---------------------------- [Which ColorFunction should I use to get such a gradient of blue-cyan-green-yellow-orange-red?]\url{http://mathematica.stackexchange.co m/questions/39300/which-colorfunction-should-i-use-to-get-such-a-gradien t-of-blue-cyan-green-yello} I want to get the effect in the above Figure. Here is my code: Plot3D[Log[ 4*((1 + x)^2)*(0.0065^2)*Log[y]/(3*((1 - 2 x))^2*(0.0267^2)) + 1]/ Log[y], {x, 0.315, 0.45}, {y, 0, 1}, Mesh -> ... - asked by Scott Wang (8 votes), answered by rm -rf (12 votes) ================================== Greatest hits from previous weeks: ================================== [List of compilable functions]\url{http://mathematica.stackexchange.com/questions/1096/list-of- compilable-functions} Is there somewhere a list on the functions that Compile can compile, or the cases in which a particular function can be compiled that I haven't found? I'd be glad even with a list of some of them ... - asked by Rojo (58 votes), answered by Oleksandr R. (66 votes) ---------------------------- [Can one identify the design patterns of Mathematica?]\url{http://mathematica.stackexchange.com/questions/24988/can- one-identify-the-design-patterns-of-mathematica} ... or are they unnecessary in such a high-level language? I've been thinking about programming style, coding standards and the like quite a bit lately, the result of my current work on a mixed ... - asked by Verbeia (65 votes), answered by Leonid Shifrin (50 votes) ================================== Can you answer these? ================================== [Efficient submatrix swaps for large sparse matrix]\url{http://mathematica.stackexchange.com/questions/39209/efficient- submatrix-swaps-for-large-sparse-matrix} I am implementing the 'swap' algorithm for a binary matrix to generate matrix permutations that maintain row and column totals. My problem is that my matrices are large and sparse (e.g., 19774 x 942, ... - asked by Gareth (1 vote) ---------------------------- [How to simplify expressions]\url{http://mathematica.stackexchange.com/questions/39341/how-t o-simplify-expressions} I read several similar posts but I have not found a solution yet. However, I think that my problem should be quite easy. So here we are. Relations Mt = M1 + M2; x1 = -(M2/Mt)*R; x2 = R*(1 - M2/Mt); ... - asked by Vaggelis_Z (1 vote) ---------------------------- [CountryData -> $Failed]\url{http://mathematica.stackexchange.com/questions/39110/countryda ta-failed} Today I started researching the "Four colours theorem" and to do so I need data, regions for example. I tried using the following line: CountryData["Ukraine", "Regions"] But the result: ... - asked by Vitaliy Sergeyevich Barash (1 vote)