Math tutorials

Examples showing the Math classes.

Modules
	Fast Fourier Transforms tutorials
	Example showing the Fast Fourier Transforms interface in ROOT.
	Fit Tutorials
	These tutorials illustrate the main fitting features. Their names are related to the aspect which is treated in the code.
	FOAM tutorials
	Examples showing how to use FOAM.
	Matrix tutorials
	Examples showing how to use TMatrix.
	Probability distributions tutorials
	Examples showing the available probability distributions in ROOT.
	Quadratic programming package
	Example showing the usage of the quadratic programming package quadp.
	R tutorials
	Examples showing the R interface.
	Unuran tutorials
	Examples showing unuran capabilities.
	VecOps tutorials
	These examples show the functionalities of the VecOps utilities.

Files
file	ChebyshevPol.C
	Example of Chebyshev polynomials using new TFormula pre-defined definitions of chebyshev polynomials
file	chi2test.C
	Example to use chi2 test for comparing two histograms One unweighted histogram is compared with a weighted histogram.
file	exampleFunction.py
	Example of using Python functions and input to numerical algorithm using the ROOT Functor class
file	exampleFunctor.C
	Tutorial illustrating how creating a TF1 class using functor or class member functions
file	exampleMultiRoot.C
	Example of using multiroot finder based on GSL algorithm.
file	exampleTKDE.C
	Example of using the TKDE class (kernel density estimator)
file	GammaFun.C
	Example showing the usage of the major special math functions (gamma, beta, erf) in ROOT To execute the macro type in:
file	goftest.C
	GoFTest tutorial macro
file	hlquantiles.C
	Demo for quantiles (with highlight mode)
file	kdTreeBinning.C
	kdTreeBinning tutorial: bin the data in cells of equal content using a kd-tree
file	Legendre.C
	Example of first few Legendre Polynomials
file	Legendre.py
	Example of first few Legendre Polynomials.
file	LegendreAssoc.C
	Example describing the usage of different kinds of Associate Legendre Polynomials To execute the macro type in:
file	limit.C
	This program demonstrates the computation of 95 % confidence level (CL) limits.
file	mathcoreGenVector.C
	Example macro testing available methods and operation of the GenVector classes.
file	mathcoreSpecFunc.C
	Example macro describing how to use the special mathematical functions taking full advantage of the precision and speed of the C99 compliant environments.
file	mathcoreVectorCollection.C
	Example showing how to write and read a std vector of ROOT::Math LorentzVector in a ROOT tree.
file	mathcoreVectorFloatIO.C
	Macro illustrating I/O with Lorentz Vectors of floats The dictionary for LorentzVector of float is not in the libMathCore, therefore is generated when parsed the file with CLING.
file	mathcoreVectorIO.C
	Example of I/O of a mathcore Lorentz Vectors in a Tree and comparison with a TLorentzVector.
file	mathmoreIntegration.C
	Example on the usage of the adaptive 1D integration algorithm of MathMore it calculates the numerically cumulative integral of a distribution (like in this case the BreitWigner) to execute the macro type it (you need to compile with AClic)
file	mathmoreIntegrationMultidim.C
	Example on the usage of the multidimensional integration algorithm of MathMore Please refer to the web documentation for further details: https://root.cern/manual/math/#numerical-integration To execute the macro type the following:
file	multidimSampling.C
	Example of sampling a multi-dim distribution using the DistSampler class NOTE: This tutorial must be run with ACLIC
file	permute.C
	Tutorial illustrating the use of TMath::Permute can be run with:
file	principal.C
	Principal Components Analysis (PCA) example
file	principal.py
	Principal Components Analysis (PCA) example
file	quantiles.C
	Demo for quantiles
file	quasirandom.C
	Example of generating quasi-random numbers
file	testrandom.C
	Performance test of all the ROOT random generator (TRandom, TRandom1, TRandom2 and TRandom3) Tests the generator TRandom3 against some ref values and creates a timing table against TRandom, TRandom1 and TRandom2.