New in Mathematica 13.1
Mathematica Version 13.1 includes 90 completely new functions - plus 203 functions with substantial updates, new user interface features and enhanced compiler functionality.
Stephen Wolframs Blog Entry announcing Version 13.1
- Thread arrays at deep levels of other arrays with
Threaded - New language convenience functions for list manipulation:
DeleteElements,DeleteAdjacentDuplicates,SymmetricDifferenceandUniqueElements - Added functional programming convenience functions:
ReplaceAt,MapApply,UntilandSameAs - Compute change of variables in integrals and differential equations with
IntegrateChangeVariablesandDSolveChangeVariables - Support for fractional derivatives and fractional differential equations with
FractionalD,CaputoDand an update toDSolve - Compute derivatives of implicitly defined functions using
ImplicitD - Added several new types of structured arrays:
PermutationMatrix,BlockDiagonalMatrix,LowerTriangularMatrix,UpperTriangularMatrix,BlockLowerTriangularMatrixandBlockUpperTriangularMatrix - Interval evaluation via
CenteredIntervalorIntervaladded to multiple special mathematical functions - Plot ratios of quantities with
TernaryListPlot - Enhanced support for the
ScalingFunctionsoption in visualization functions, and addedNominalScaleandOrdinalScale VoronoiMeshnow supports 3D Voronoi decompositions- Reconstruct 1D, 2D and 3D meshes from point clouds using
ReconstructionMesh EstimatedPointNormalscan estimate normals to points in a point cloud- Added functions for operations on graphs:
GraphProduct,GraphJoinandGraphSum - Emoji and more multilingual support
- Create 2D drop shadow effects with
DropShadowing - Several new shaders for graphics added:
FlatShading,GouraudShadingandPhongShading - Interactive video recording from webcams and other devices with
VideoCapture - Interactive screen video recording with
VideoScreenCapture - New machine learning functions to plot impact of features on a model result:
FeatureValueImpactPlot,FeatureImpactPlot,CumulativeFeatureImpactPlotandFeatureValueDependencyPlot - New tree-related functions
RootTree,UnlabeledTree,TreeLeafCountand numerous options to style and label trees - Represent a family of chemical reactions symbolically with
PatternReactionand apply such a reaction to a set of molecules withApplyReaction - Perform chemical conversions with
ChemicalConvert ModelPredictiveControllerperforms explicit constrained MPC controller design with 1-, 2- and ∞-normsDiscreteInputOutputModelimplements a general nonlinear input output model- New functions for type declaration and type specification syntax in compiled code and libraries:
TypeDeclaration,CompiledExpressionDeclaration,LibraryFunctionDeclarationandTypeSpecifier - Expanded support for type representation in compiled code with
ForAllType,LiteralType,TypeEvaluate,CreateTypeInstanceandTypeOf - Call the evaluator from compiled code with
InertEvaluate - Create and dereference pointers for interacting with external libraries with
ToRawPointerandFromRawPointer - Added an "
ExprStruct" data structure that represents an expression that can be modified without evaluation QuestionGeneratorandQuestionSelectoradd further support for question & answer interfaces- New default toolbar, annotation overlay and custom guide page creation
See the complete list of what's new in the Wolfram Language with Mathematica 13.1 on the Wolfram Research website