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Functional Parts
Here is a list of all topics with brief descriptions:
[detail level 12345]
 Core ROOT classesThe Core classes of ROOT
 std Extension classesExtension classes within libCore to backport or complement missing std:: features
 Parallelized classesClasses implement parallelism within ROOT
 The Geometry Package
 GraphicsThe graphics related classes
 Event display with ROOT7
 GUIGraphical User Interface
 Web WidgetsA Graphical User Interface based on WEB technology
 Web DisplayA Graphical User Interface based on WEB technology
 Histogram LibraryA general description of the Histogram library is documented in the class TH1
 Input/Output Library
 MathThe ROOT Mathematical Libraries
 N-D parametric functions
 VecOpsA "std::vector"-like collection of values implementing handy operation to analyse them
 Monte CarloThe Monte Carlo related packages
 HTTP serverTHttpServer-related classes to provide HTTP protocol to ROOT application
 PROOF
 TMVAThe Multi Variate Analysis package
 RooFitRooFit is a package for building likelihood models and fitting these to data
 DataframeROOT's RDataFrame allows to analyse data stored in TTrees with a high level interface
 ROOT7 classesInterfaces and classes designed for future ROOT version 7 (experimental!)
 NTuple-related classesTuple classes designed for future ROOT version 7 (experimental!)
 Tree Library
 TreePlayer Library
 TutorialsA collection of C++ macros, Python scripts and notebooks helping to learn ROOT by example
 R Interface for Statistical Computing