Math

Methods

(static) Beta()

Calculates Beta-function Gamma(p)*Gamma(q)/Gamma(p+q).

Source:

• base/math.mjs, line 1610

(static) BetaDist()

Computes the probability density function of the Beta distribution

Source:

• base/math.mjs, line 1664

(static) BetaDistI()

Computes the distribution function of the Beta distribution.

Source:

• base/math.mjs, line 1673

(static) BreitWigner()

BreitWigner function

Source:

• base/math.mjs, line 1604

(static) Chebyshev0()

Chebyshev0 function

Source:

• base/math.mjs, line 1825

(static) Chebyshev1()

Chebyshev1 function

Source:

• base/math.mjs, line 1831

(static) Chebyshev10()

Chebyshev10 function

Source:

• base/math.mjs, line 1885

(static) Chebyshev2()

Chebyshev2 function

Source:

• base/math.mjs, line 1837

(static) Chebyshev3()

Chebyshev3 function

Source:

• base/math.mjs, line 1843

(static) Chebyshev4()

Chebyshev4 function

Source:

• base/math.mjs, line 1849

(static) Chebyshev5()

Chebyshev5 function

Source:

• base/math.mjs, line 1855

(static) Chebyshev6()

Chebyshev6 function

Source:

• base/math.mjs, line 1861

(static) Chebyshev7()

Chebyshev7 function

Source:

• base/math.mjs, line 1867

(static) Chebyshev8()

Chebyshev8 function

Source:

• base/math.mjs, line 1873

(static) Chebyshev9()

Chebyshev9 function

Source:

• base/math.mjs, line 1879

(static) ChebyshevN()

ChebyshevN function

Source:

• base/math.mjs, line 1810

(static) GammaDist()

GammaDist function

Source:

• base/math.mjs, line 1616

(static) Gaus()

Gaus function

Source:

• base/math.mjs, line 1594

(static) InvPi()

InvPi function

Source:

• base/math.mjs, line 2064

(static) Landau()

Landau function

Source:

• base/math.mjs, line 786

(static) LaplaceDist()

probability density function of Laplace distribution

Source:

• base/math.mjs, line 1623

(static) LaplaceDistI()

distribution function of Laplace distribution

Source:

• base/math.mjs, line 1629

(static) LogNormal()

LogNormal function

Source:

• base/math.mjs, line 1657

(static) Pi()

Pi function

Source:

• base/math.mjs, line 2038

(static) PiOver2()

PiOver2 function

Source:

• base/math.mjs, line 2050

(static) PiOver4()

PiOver4 function

Source:

• base/math.mjs, line 2057

(static) Polynomial1eval()

Polynomial1eval function

Description:

• calculates a value of a polynomial of the form: x^N+a[0]x^(N-1) + ... + a[N-1]

Source:

• base/math.mjs, line 42

(static) Polynomialeval()

Polynomialeval function

Description:

• calculates a value of a polynomial of the form: a[0]x^N+a[1]x^(N-1) + ... + a[N]

Source:

• base/math.mjs, line 29

(static) Prob()

Prob function

Source:

• base/math.mjs, line 1581

(static) Sq()

Square function

Source:

• base/math.mjs, line 2032

(static) Student()

density function for Student's t- distribution

Source:

• base/math.mjs, line 1635

(static) StudentI()

cumulative distribution function of Student's

Source:

• base/math.mjs, line 1647

(static) TwoPi()

TwoPi function

Source:

• base/math.mjs, line 2044

(static) beta()

beta

Source:

• base/math.mjs, line 831

(static) beta_cdf_c()

Complement of the cumulative distribution function of the beta distribution.

Source:

• base/math.mjs, line 1423

(static) beta_pdf()

Probability density function of the beta distribution.

Source:

• base/math.mjs, line 813

(static) beta_quantile()

ROOT::Math::beta_quantile

Source:

• base/math.mjs, line 1417

(static) breitwigner_cdf()

breitwigner_cdf function

Source:

• base/math.mjs, line 1453

(static) breitwigner_cdf_c()

breitwigner_cdf_c function

Source:

• base/math.mjs, line 1447

(static) cauchy_cdf()

cauchy_cdf function

Source:

• base/math.mjs, line 1465

(static) cauchy_cdf_c()

cauchy_cdf_c function

Source:

• base/math.mjs, line 1459

(static) cauchy_pdf()

cauchy_pdf function

Source:

• base/math.mjs, line 1471

(static) chisquared_cdf()

chisquared_cdf

Source:

• base/math.mjs, line 1429

(static) chisquared_cdf_c()

chisquared_cdf_c

Source:

• base/math.mjs, line 837

(static) chisquared_pdf()

chisquared_pdf

Source:

• base/math.mjs, line 1532

(static) crystalball_cdf()

crystalball_cdf function

Source:

• base/math.mjs, line 1780

(static) crystalball_cdf_c()

crystalball_cdf_c function

Source:

• base/math.mjs, line 1795

(static) crystalball_function()

Crystal ball function

Source:

• base/math.mjs, line 1717

(static) crystalball_integral()

compute the integral of the crystal ball function

Source:

• base/math.mjs, line 1745

(static) crystalball_pdf()

pdf definition of the crystal_ball which is defined only for n > 1 otherwise integral is diverging

Source:

• base/math.mjs, line 1733

(static) eff_AgrestiCoull()

Calculates the boundaries for the frequentist Agresti-Coull interval

Source:

• base/math.mjs, line 1935

(static) eff_Bayesian()

for a central confidence interval for a Beta distribution

Source:

• base/math.mjs, line 1983

(static) eff_ClopperPearson()

Calculate ClopperPearson

Source:

• base/math.mjs, line 1893

(static) eff_MidPInterval()

Calculates the boundaries using the mid-P binomial

Source:

• base/math.mjs, line 1949

(static) eff_Normal()

Calculate normal

Source:

• base/math.mjs, line 1903

(static) eff_Wilson()

Calculates the boundaries for the frequentist Wilson interval

Source:

• base/math.mjs, line 1919

(static) erf()

error function

Source:

• base/math.mjs, line 250

(static) erfc()

complementary error function

Source:

• base/math.mjs, line 177

(static) expo()

expo function for TFormula

Source:

• base/math.mjs, line 1699

(static) exponential_cdf()

exponential_cdf function

Source:

• base/math.mjs, line 1526

(static) exponential_cdf_c()

exponential_cdf_c function

Source:

• base/math.mjs, line 1520

(static) fdistribution_cdf()

fdistribution_cdf function

Source:

• base/math.mjs, line 1568

(static) fdistribution_cdf_c()

fdistribution_cdf_c function

Source:

• base/math.mjs, line 1555

(static) fdistribution_pdf()

Probability density function of the F-distribution.

Source:

• base/math.mjs, line 1543

(static) gamma()

gamma calculation

Source:

• base/math.mjs, line 324

(static) gamma_pdf()

gamma_pdf function

Source:

• base/math.mjs, line 1484

(static) gamma_quantile()

gamma_quantile function

Source:

• base/math.mjs, line 1441

(static) gamma_quantile_c()

gamma_quantile_c function

Source:

• base/math.mjs, line 1435

(static) gaus()

gaus function for TFormula

Source:

• base/math.mjs, line 1680

(static) gausn()

gausn function for TFormula

Source:

• base/math.mjs, line 1686

(static) gaussian_pdf()

gaussian_pdf function

Source:

• base/math.mjs, line 1477

(static) gausxy()

gausxy function for TFormula

Source:

• base/math.mjs, line 1692

(static) getTEfficiencyBoundaryFunc()

Return function to calculate boundary of TEfficiency

Source:

• base/math.mjs, line 2001

(static) igam()

igam function

Source:

• base/math.mjs, line 586

(static) igamc()

igamc function

Source:

• base/math.mjs, line 526

(static) igami()

igami function

Source:

• base/math.mjs, line 618

(static) inc_beta()

Calculates the normalized (regularized) incomplete beta function.

Source:

• base/math.mjs, line 1409

(static) inc_gamma()

inc_gamma

Source:

• base/math.mjs, line 801

(static) inc_gamma_c()

inc_gamma_c

Source:

• base/math.mjs, line 795

(static) incbcf()

Continued fraction expansion #1 for incomplete beta integral

Source:

• base/math.mjs, line 843

(static) incbd()

Continued fraction expansion #2 for incomplete beta integral

Source:

• base/math.mjs, line 926

(static) incbet()

ROOT::Math::Cephes::incbet

Source:

• base/math.mjs, line 1049

(static) incbi()

copy of ROOT::Math::Cephes::incbi

Source:

• base/math.mjs, line 1138

(static) landau()

landau function for TFormula

Source:

• base/math.mjs, line 1705

(static) landau_pdf()

landau_pdf function

Description:

• LANDAU pdf : algorithm from CERNLIB G110 denlan same algorithm is used in GSL

Source:

• base/math.mjs, line 729

(static) landaun()

landaun function for TFormula

Source:

• base/math.mjs, line 1711

(static) lgam()

lgam function, logarithm from gamma

Source:

• base/math.mjs, line 53

(static) lgamma()

lgamma

Source:

• base/math.mjs, line 807

(static) lognormal_cdf()

lognormal_cdf_c function

Source:

• base/math.mjs, line 284

(static) lognormal_cdf_c()

lognormal_cdf_c function

Source:

• base/math.mjs, line 275

(static) lognormal_pdf()

log normal pdf

Source:

• base/math.mjs, line 308

(static) ndtri()

ndtri function

Source:

• base/math.mjs, line 425

(static) normal_cdf()

normal_cdf function

Source:

• base/math.mjs, line 300

(static) normal_cdf_c()

normal_cdf_c function

Source:

• base/math.mjs, line 292

(static) normal_pdf()

normal pdf

Source:

• base/math.mjs, line 317

(static) normal_quantile()

normal_quantile function

Source:

• base/math.mjs, line 514

(static) normal_quantile_c()

normal_quantile_c function

Source:

• base/math.mjs, line 520

(static) pseries()

ROOT::Math::Cephes::pseries

Source:

• base/math.mjs, line 1009

(static) stirf()

Stirling formula for the gamma function

Source:

• base/math.mjs, line 145

(static) tdistribution_cdf()

tdistribution_cdf function

Source:

• base/math.mjs, line 1505

(static) tdistribution_cdf_c()

tdistribution_cdf_c function

Source:

• base/math.mjs, line 1497

(static) tdistribution_pdf()

tdistribution_pdf function

Source:

• base/math.mjs, line 1513