Tag: implementation-details

114 What is the most convenient way to read definitions of in-memory symbols when we don't have the source files? (Spelunking tools) 2012-02-14T14:55:29.663

58 How to find out which method Mathematica selected? 2012-01-18T11:23:52.877

54 What's inside InterpolatingFunction[{{1., 4.}}, <>]? 2013-07-10T03:29:12.080

53 How is pattern specificity decided? 2012-07-23T07:46:01.457

42 How does Interpolation really work? 2012-04-13T03:04:31.113

36 What is behind experimental function: FindFormula? 2015-07-17T16:59:08.067

33 How does Plot work? 2011-08-26T12:04:21.780

32 How are MemberQ and FreeQ so fast? 2012-02-06T21:36:58.170

32 What calendar is Mathematica using for dates in the distant past? 2012-11-24T20:50:35.590

31 Symbolic derivatives are being calculated numerically 2011-06-13T02:17:26.920

30 Is there a "precedence table" for the canonical Sort ordering? 2013-08-28T05:57:40.013

28 Why Except is so slow as compared to equivalent RegularExpression? 2017-03-22T19:14:34.487

27 Efficiently appending points to a NearestFunction 2013-03-09T04:43:59.473

26 Why is FreeQ so much faster for some specific variable names? 2019-04-25T18:33:39.647

25 How to implement FittedModel like objects 2012-12-07T21:36:09.630

25 Why does list assignment with a packed array result in unpacked values? 2013-07-22T14:16:48.150

25 How to determine BLAS/LAPACK implementation used internally for numerical matrix operations? 2014-02-08T17:42:55.333

24 What can be inlined by "InlineExternalDefinitions" -> True? 2017-05-14T06:51:47.483

23 How to retrieve the parameters calculated and used by ImageAdjust? 2012-11-20T17:14:23.530

23 Underlying Algorithms for List Manipulation Functions 2013-08-13T00:37:55.880

23 Where can I get detailed information on how the Plot command works? 2014-07-22T05:15:48.947

23 What algorithm do the Compress and Uncompress functions use? 2016-01-22T23:48:17.030

22 Blend code for built-in ColorData schemes 2013-08-15T14:19:34.417

21 How to know the internal algorithms of functions like Predict or Classify? 2014-12-10T01:54:00.367

21 NDSolve uses different difference order for different spatial derivative when solving PDE 2016-10-20T06:52:22.657

21 What is the definition of Curl in Mathematica? 2019-02-12T08:59:46.720

20 What does "suitable for symbolic manipulation" in the documentation mean? 2012-07-07T19:35:56.900

20 What's the default colormap (or color scheme) used in mathematica? 2018-01-01T21:52:08.363

19 How does Mathematica integrate? 2012-06-14T14:59:07.050

19 What are the algorithm details of FindRoot? 2013-11-26T08:15:26.223

19 How was Mathematica built? 2016-02-09T19:13:41.550

18 What are the default TransformationFunctions used in Simplify and FullSimplify? 2012-12-07T15:44:16.233

17 The difference between "SymbolicProcessing" -> 0 and restricting the function definition to numeric values only 2012-08-28T18:26:25.137

17 What is the real default CellEvaluationFunction? 2013-07-27T06:54:07.007

17 How does Mathematica determine that an evaluation should be terminated? 2011-03-17T09:15:28.050

17 Why does setting SyntaxInformation add a definition to DefaultValues 2019-11-01T10:11:34.750

16 What method does NDSolve use for solving PDEs? 2012-03-18T19:50:22.677

16 What is the default ColorFunction for Image3D? 2013-12-05T18:17:20.227

16 What boundary is added when boundary condition is not sufficient? 2015-02-13T07:18:17.887

16 Why doesn't SeedRandom work here? 2015-08-13T09:27:12.003

16 How does Plus work on machine precision Real arguments? 2016-01-10T21:10:30.250

16 How was Nothing implemented? 2018-02-21T11:43:39.523

15 RandomReal closed on left & open on right? 2012-10-19T14:34:43.530

15 Why does iterating Prime in reverse order require much more time? 2012-12-05T22:03:49.637

15 Why do big-O terms disappear in definite integrals since Mathematica 9? 2014-10-28T14:49:14.747

15 What's behind Method -> {"EquationSimplification" -> "Residual"} 2017-01-24T17:23:28.147

15 What stopwords list is the Wolfram language using? 2018-09-25T06:13:46.837

14 How does Mma compute Confidence Intervals? 2013-11-11T19:35:10.440

14 How does FunctionDomain work? 2017-02-05T13:59:11.183

14 How is the Hessian computed using ``Experimental`NumericalFunction``? 2018-05-19T15:43:12.560

14 Evaluated vs. unevaluated Association 2019-08-25T02:48:59.147

13 How to interpret the FullForm of a SparseArray? 2013-01-19T21:29:40.517

13 Methods for NonlinearModelFit 2013-03-22T10:14:37.500

13 What type of solver does Mathematica use in LinearSolve 2014-03-12T08:13:55.800

13 What governs images resizing in the FrontEnd environment 2016-02-12T08:21:03.667

13 Accuracy of PrimeQ function 2016-04-27T18:46:03.997

12 Algorithm used by IsomorphicGraphQ 2012-10-31T18:20:56.060

12 Possible Method for MatrixExp 2015-05-18T09:11:33.550

12 What function generates random numbers in a compiled function? 2015-07-02T11:50:40.437

12 How do I determine which ChartElementDataFunction is Automatic? 2015-11-06T22:41:35.273

12 What is the equivalent of $ModuleNumber for DynamicModule 2016-03-02T11:29:11.133

12 Why NIntegrate is badly-behaved on $J_{\frac{9}{2}}(x)$ by default? 2016-06-08T07:59:48.607

12 What algorithm is Mathematica using to find the smallest eigenvalue so quickly? 2017-06-20T19:15:38.780

12 Listable built-in functions - Why are they so fast on numerical vectors? 2018-12-03T10:11:03.263

12 Why does Arg'[1. + I] return -0.5? 2019-04-25T07:48:16.563

12 Conflict with hidden names 2019-09-20T17:49:02.463

11 What is the simplest way to determine which call to a superfunction has generated a Message? 2012-08-28T19:34:33.380

11 How does LocationTest choose its "AutomaticTest"? 2014-01-04T07:12:42.123

11 What are the hidden specifications for FindRoot 2014-03-20T09:10:12.953

11 Default algorithm in NonlinearModelFit 2015-02-08T23:14:26.567

11 What is the underlying algorithm to simplify sums of reciprocals of polynomials? 2015-12-16T00:48:10.873

11 How does Mathematica calculate $\sin(\pi/5)$? 2016-01-16T16:37:24.990

11 What does the GraphLayout -> "SpectralEmbedding" option do (mean) when displaying a graph? 2016-07-06T19:10:37.403

11 How does Mathematica solve a certain differential equation? 2017-01-10T05:28:08.657

11 Meaning of InterpolationOrder -> All for multidimensional interpolation 2019-04-16T08:43:43.850

10 What algorithm does Plot use to determine abscissas? 2013-01-22T18:37:22.267

10 The default bandwidth of the SmoothKernelDistribution function 2013-05-18T06:20:09.037

10 Does LinearSolve know that I gave it a Sparse lower triangular matrix? 2015-10-16T21:48:30.003

10 What kind of Arnoldi method is used in Mathematica? 2016-01-07T12:43:39.380

10 What does the alignment error returned from FindGeometricTransform measure? 2017-06-28T19:49:54.380

10 What's the principle behind the new MoleculeRecognize function? 2020-03-21T19:42:37.410

9 How to check for Mathematica’s definition of XY? 2012-01-18T13:16:46.313

9 GroebnerBasis without specifying variables 2012-03-13T14:29:14.223

9 Does Mathematica use the Elliptic Curve Method (ECM) in FactorInteger[]? 2012-09-29T18:02:29.687

9 Apart may use Padé method: what's that? 2013-04-21T15:18:07.193

9 Finding hidden treasure (aka finding undocumented functions) 2013-09-23T02:05:54.653

9 Why does $Failed have attribute HoldAll? 2014-02-19T01:52:06.483

9 Algorithms behind implemented Mathematica functions 2015-06-11T08:57:24.517

9 Show how Mathematica defines a function 2016-04-12T17:47:28.443

9 Reconstructing ContourPlot with ListContourPlot 2017-07-20T21:45:54.233

9 Which FFT algorithm does `Fourier[...]` use? 2019-02-25T18:36:45.613

9 Automatic Method for FindMinimum with constraints 2021-01-29T09:30:41.253

8 How could I implement the equivalent of NextPrime 2013-01-18T03:08:32.270

8 What algorithm is Mathematica 9 using for "SpectralEmbedding" of graphs? 2013-02-08T16:42:54.893

8 How does Mathematica's LowpassFilter work? 2013-06-07T17:56:44.173

8 What algorithms does NSolve use? 2014-05-01T09:51:28.240

8 What values of $\delta$ and $\eta$ are being used in LatticeReduce? 2015-11-04T06:58:14.090

8 Is the Method -> Automatic option for Classify not deterministic? 2016-03-02T20:35:18.120

8 What exactly do DerivativeFilter and RidgeFilter do with the scale parameter? 2017-04-03T15:37:04.540