Math tutorials

Examples showing the Math classes.

Files
file	Bessel.C
	Show the different kinds of Bessel functions available in ROOT To execute the macro type in:
file	Bessel.py
	Show the different kinds of Bessel functions available in ROOT To execute the macro type in:
file	binomial.C
	tutorial illustrating the use of TMath::Binomial can be run with:
file	BreitWigner.C
	Tutorial illustrating how to create a plot comparing a Breit Wigner to a Relativistic Breit Wigner
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	CrystalBall.C
	Example of CrystalBall Function and its distribution (pdf and cdf)
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	FeldmanCousins.C
	Example macro of using the TFeldmanCousins class in root.
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 % C.L.
file	mathBeta.C
	Test the TMath::BetaDist and TMath::BetaDistI functions
file	mathcoreCDF.C
	Example describing how to use the different cumulative distribution functions in ROOT.
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	mathcoreStatFunc.C
	Example macro showing some major probability density functions in ROOT.
file	mathcoreStatFunc.py
	Example macro showing some major probability density functions in ROOT.
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	mathGammaNormal.C
	Tutorial illustrating the use of TMath::GammaDist and TMath::LogNormal
file	mathLaplace.C
	Test the TMath::LaplaceDist and TMath::LaplaceDistI functions
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.ch/root/htmldoc/guides/users-guide/MathLibraries.html#numerical-integration To execute the macro type the following:
file	mathStudent.C
	Tutorial illustrating the use of the Student and F distributions
file	multidimSampling.C
	Example of sampling a multi-dim distribution using the DistSampler class NOTE: This tutorial must be run with ACLIC
file	multivarGaus.C
	Tutorial illustrating the multivariate gaussian random number generation
file	normalDist.C
	Tutorial illustrating the new statistical distributions functions (pdf, cdf and quantile)
file	normalDist.py
	Tutorial illustrating the new statistical distributions functions (pdf, cdf and quantile)
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	Rolke.C
	Example of the usage of the TRolke class The TRolke class computes the profile likelihood confidence limits for 7 different model assumptions on systematic/statistical uncertainties
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.
file	tStudent.C
	Example macro describing the student t distribution
file	tStudent.py
	Example macro describing the student t distribution
file	TSVDUnfoldExample.C
	Data unfolding using Singular Value Decomposition
file	vavilov.C
	Test of the TMath::Vavilov distribution