Summary of New Features in 10.2
A list of key new features since 10.1.
Core Language
open all close allFunctional Programming »
BlockMap — map a function over blocks in an array
SequenceFoldList — generalization of FoldList allowing more than one step of history
FoldPairList — generalization of FoldList separating state from output at each step
Lists
Nothing — an element to automatically remove from a list
ContainsAll — check if a list or association is fully contained in another
ContainsAny — check if any element of a list or association is contained in another
ContainsExactly ▪ ContainsNone ▪ ContainsOnly ▪ BinaryDistance
TakeDrop — split a list into non-overlapping parts
ArrayFilter — general neighborhood filtering for arrays of any depth
Testing Utilities
Language Information
WolframLanguageData — computable data about functions and their connections
Core Algorithms
ODE and PDE Eigensystems »
NDEigenvalues — eigenvalues for ODEs and PDEs over regions with boundary constraints
NDEigensystem — eigenvalues and eigenfunctions for ODEs and PDEs
Graphs & Networks »
NearestNeighborGraph — 
-nearest neighbor graph
RelationGraph — graph from finite relations
NestGraph — connectivity from nested function applications
FindHamiltonianPath, FindShortestTour — traveling salesman with start and end
Linear Algebra
Permanent ▪ SmithDecomposition
Machine Learning »
FindFormula — find simple functions that approximate data
ImageIdentify (modified) — faster processing and extensive additional training
Sequence Alignment and Comparison »
LongestOrderedSequence ▪ LongestCommonSequencePositions ▪ LongestCommonSubsequencePositions
Computational Systems & Functions
SubstitutionSystem — iterated substitutions yielding fractals etc.
ThueMorse ▪ RudinShapiro ▪ GoldenAngle
Number Digits »
NumberDecompose — decompose a number according to a basis (e.g. coinage)
Visualization
Volume Slice Visualization
SliceDensityPlot3D — densities over surfaces sliced through a volume
SliceContourPlot3D — contours over surfaces sliced through a volume
SliceVectorPlot3D — vector fields over surfaces sliced through a volume
ListSliceDensityPlot3D ▪ ListSliceContourPlot3D ▪ ListSliceVectorPlot3D
Volume Density Visualization
DensityPlot3D — densities across a volume
ListSliceDensityPlot3D ▪ OpacityFunction ▪ OpacityFunctionScaling
Discrete Data Visualization
ListStepPlot — stepwise plots of data
Statistical Visualization »
Histogram — now supporting "intensity" measures (events per unit length)
Histogram3D ▪ DensityHistogram ▪ SmoothHistogram ▪ SmoothHistogram3D ▪ ...
Geometric Computing
Basic Regions »
RegularPolygon — a regular 
-gon
Annulus — an annulus (area between two concentric circles)
SphericalShell ▪ Insphere ▪ DiskSegment ▪ StadiumShape ▪ CapsuleShape ▪ Hyperplane ▪ HalfSpace ▪ AffineSpace ▪ AffineHalfSpace
PolyhedronData — now can produce BoundaryMeshRegion data etc.
KnotData ▪ SolidData ▪ LaminaData
Mesh Regions »
DiscretizeRegion — dramatically improved region discretization
MeshCellShapeFunction — detailed control over automatic mesh visualization
PlotTheme — support for plot themes in mesh visualization
MeshCellHighlight ▪ BoundaryDiscretizeRegion ▪ MeshRegion ▪ ...
Region Operations »
RandomPoint — generate random points uniformly in any region
Geometric Transforms »
EulerMatrix — intrinsic angles to 3D rotation matrix
EulerAngles — 3D rotation matrix to intrinsic angles
RollPitchYawMatrix ▪ RollPitchYawAngles
Geometry File Formats »
"STL" — dramatically improved STL import/export support
Image & Signal Processing
Computational Photography »
ColorToneMapping — transform an HDR image so small luminance variations are visible
ImageExposureCombine — create an image from images with different exposure
ImageFocusCombine — create a high depth of focus image from multiple images
General Updates & Generalizations
ImagePad — pad using textures synthesis
HighlightImage — highlight any region
Inpaint ▪ ImageAlign ▪ Thumbnail ▪ FindGeometricTransform ▪ ColorDistance
Time Series & Statistics
Support for Arithmetic on Time Series
TimeSeries, EventSeries — arithmetic on time series objects now works automatically
Support for Irregular Time Series
BandpassFilter ▪ BandstopFilter ▪ DifferentiatorFilter ▪ HarmonicMeanFilter ▪ HighpassFilter ▪ HilbertFilter ▪ LowpassFilter ▪ MaxFilter ▪ MeanFilter ▪ MedianFilter ▪ MinFilter ▪ RangeFilter
General Updates & Generalizations
BaringhausHenzeTest — multivariate goodness-of-fit hypothesis test
DistributionFitTest ▪ ProbabilityDistribution
Date and Time »
DateHistogram — histogram date or time frequencies
Cloud Operations & Deployment
Automatic Mail Processing »
MailReceiverFunction — set up functions to be activated by mail messages
MailResponseFunction ▪ ReturnReceiptFunction
Cloud Execution Metadata »
CloudLoggingData — generate logs for cloud object accesses
Cloud Permissions Control »
CloudPublish — make a document or cloud object public
CloudShare — share cloud objects with particular users
SetPermissions ▪ ClearPermissions
Cloud Updating & Caching
UpdateInterval — specify how often a deployed web page should be updated
CachePersistence — specify how long a web page should be cached so it is fast to view
Private Clouds
CloudBase — option to specify different base URLs for clouds
ContinuousTask — task to be executed continuously (mainly for private clouds)
Background & Scheduled Tasks »
CloudSubmit — submit an expression for asynchronous cloud evaluation
Persistent Local Objects »
LocalObject — a new anonymous local object
LocalSymbol — a persistent symbol, stored locally
$DefaultLocalBase ▪ $LocalBase ▪ $LocalSymbolBase
WSTP API »
LinkActivate — activate a WSTP link
Text Search & Analysis
Text Search »
TextSearch — search an index or directory, returning a list of documents
TextSearchReport — generate a computable search results page
Snippet — textual snippet of a document
ContentObject — symbolic representation of documents
CreateSearchIndex ▪ UpdateSearchIndex ▪ DeleteSearchIndex
Text Analysis »
TextCases — cases of structural or semantic forms in text
TextPosition — positions of structural or semantic forms
Character Operations »
Alphabet — access to non-English alphabets added
CharacterName — names of all Unicode characters
International Annotation
TranslationOptions — control how function name translations are displayed
External Data & Services
Curated Data
RandomEntity — random entity of any type ("Country", "Chemical", etc.)
"AnatomicalStructure" — detailed geometry and properties of human anatomy
Importing and Exporting »
"RawJSON" — streamlined JSON with direct conversion of associations
Connected Services
"Twilio" ▪ "Pushbullet" ▪ "Flickr" ▪ "MailChimp" ▪ "Mixpanel" ▪ "SeatGeek"