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SetAttributes[f,Flat]: Why the order dependence? Probability and Uncertainty Probability measures the amount of uncertainty of an event: a fact whose occurrence is uncertain. Drawing Clifford Attractors in Mathematica, Minimal effort method for integrating C++ functions into Mathematica, Converting other C++ classes to MTensor in LibraryLink. Automating SFTP upload within Mathematica? doing Transpose[{x,y}] or {x,y}ESC tr ESC in the front end will produce {{1,3},{2,4}} (format compatible with ListPlot). Remember, you can always search the online Documentation Center of Mathematica, that is identical to the built-in help of the latest software version. How to find the name of the current function? How to avoid an expensive subset of a Manipulate computation when dependent variables have not changed? @Leonid I've collected some of your answers where you use a parsing approach, if there are other such posts could you please add them to the list ? Is there a function which instantly tells you whether an element is part of a list? reply from potential PhD advisor? Using With to scope over pure functions Once more on object orientation in Mathematica: does it have to be so hard? Hi, @faysou, I'd like to see "Data structures and efficient algorithms, from Daniel Lichtblau", but this resources is not available anymore. The answer of Leonid is a reference on the topic: Finally, as a new user, I also draw on the, This resource is very useful for common languages like Java, C++ or VBA, Tutorials on a lot of current technologies (but Mathematica is missing there ...). How to improve the performance of solutions to Project Euler (#39)? Thanks, maintaining this list is a good way also to keep track of interesting posts on this site that summarize well some aspects of Mathematica. Using list elements in TrackedSymbols for Dynamic. Module variable scoping in Scheduled Tasks? In Mathematica 8, use the natural input capability of Wolfram Alpha, for example type "= graph 2 x + 1 between 0 and 3" without the quotes and see the command associated with the result. do I look for examples of good (best?) Documentation of the frequently-used functions in the context of Internal` and Compile`. "do ... while" loop equivalent in Mathematica. Do you have any particular examples to share? Automated testing for compatibility with older Mathematica versions, Integrating notebooks to Mathematica's documentation center. Determining all possible traversals of a tree, Concatenate strings from different levels of list. How can I set up a versioning system within a notebook? I'm further dividing this post. Here's how I represent myself Mathematica's evaluation: consider a function/tree f[a,b]. Some of the commands I've read about have given me interesting ideas for programs. How to get grid lines at all (log) tick marks in Version 10? Without any particular attribute for f the leafs/arguments will be evaluated before the parent f. With f having a HoldAll attribute you don't evaluate the leafs but go directly in the evaluation of f. a and b will be evaluated as soon as they are used in a function that doesn't hold again their evaluation. How can I hold UpValues but evaluate other expressions? It has lots of small, easy to digest snippets. How to work with Application Project files in Wolfram Workbench? How to work with Experimental`NumericalFunction? How to implement dual numbers in Mathematica? How to check the validity of an option value, How to make a function with its own options as well as passing options to other functions, Cases[data,Colon[key,_]] vs. Cases[data,key:_] toward XPath, XQuery, Emulating R data frame getters with UpValues, Creating a R DataFrame like construct in Mathematica. How to define a complicated function inside the body of Compile? Mathematica Graphics Tutorial 5 The Division of Statistics + Scientific Computation, The University of Texas at Austin Section 3: More Advanced Features 3.1 Using Show to Alter a Plot Mathematica graphics, once generated, can be redrawn or altered with the Show command. Is it possible to reference "self" from a pure function? How do you convert a string containing a number in C scientific notation to a Mathematica number? (For accessing hierarchical / structured data). Replacements/Substitutions in Mathematica, Position function not always returning an answer even with no apparent problems. Upvalues, TagSet and UpSet, what's the difference, when should a use each? Quick way to use conditioned patterns when defining multi-argument function? Is it possible to export the equations from Mathematica to MATLAB? Generating visually pleasing circle packs, Detecting patterns of black and white stones on a 2D board. They are problem based (similar to the Euler Problems) and the author takes you through the solutions in a step wise fashion. ), For Sale! Capabilities to Mathematica. How to express trigonometric equation in terms of of given trigonometric function? How to pass a symbol name to a function with any of the Hold attributes? Where in the documentation can I find a list of function argument types? How to generalize and speed up this program? How to simplify writing LibraryLink code? Packages for preparing publication-quality scientific figures, Stephen Wolfram: Does parallel programming use up large quantities of memory in Mathematica? Reap and Sow can also be used for debugging, see for example how it's used in. GroupBy several keys while keeping the Dataset as a Table (List of Associations), Learning Resources for Data Science in the Wolfram Language, SQL-like computation on Dataset: Aggregate function. How to determine the center and radius of a circle given some points in 3D?