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<li class="toctree-l1"><a class="reference internal" href="000_Preface/01_preface.html">Preface</a></li>
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Getting started</span></p>
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<li class="toctree-l1 has-children"><a class="reference internal" href="B01_GeneralUsage/index.html">Setup and general usage</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C01_Setup.html">Setting up XlCalcNet</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C02_GuiFunctions.html">General and user interface functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C03_SpreadsheetFormulas.html">More on XlCalcNet with MS Excel</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C04_PythonFromCSharp.html">Calling Python from C#</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C05_ContextsMpmath.html">Mathematical functions based on Mpmath, Gmpy2 and Python-Flint (only Python)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C06_ContextsFixedPrec.html">Mathematical functions in fixed precision (C#, can be called from Python)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C07_ContextsXlCalcNet2.html">Mathematical functions based on XlCalcNet2 (C#, can be called from Python)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C08_Numpy.html">A quick look at Numpy</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C09_Matplotlib.html">A quick look at Matplotlib and related libraries</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C10_Pandas.html">A quick look at Pandas and Xlxswriter</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C11_Scipy.html">A quick look at Scipy</a></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="B02_BasicFloatingPointFunctions/index.html">Basic floating point functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C01_BasicFunctions.html">Operator overloading, general real functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C02_MachineConstants.html">Machine constants, general</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C03_PropertiesOfNumbers.html">Properties of numbers</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C04_IntegerAndRemainder.html">Integer related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C05_RealFpManipulation.html">Floating point functions for real numbers</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C06_FractionRemainder.html">Fraction and remainder related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C07_MachineConstants.html">Functions related to mantissa width and exponent range</a></li>
<li class="toctree-l2"><a class="reference internal" href="B02_BasicFloatingPointFunctions/C08_MathConstants.html">Mathematical Constants</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B03_ElementaryScalarFunctions/index.html">Elementary scalar functions (real and complex)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C01_ComplexComponents.html">Complex components</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C02_Roots.html">Roots and quadratic, cubic, and quartic equations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C03_Exponential.html">Exponential and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C04_Logarithms.html">Logarithms and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C05_PowerFunctions.html">Power functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C06_Trigonometric.html">Trigonometric functions, in radians</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C07_TrigonometricPi.html">Trigonometric functions, in multiples of <span class="math notranslate nohighlight">\(\pi\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C08_Hyperbolic.html">Hyperbolic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C09_InverseTrigonometric.html">Inverse trigonometric functions, in radians</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C10_InverseHyperbolic.html">Inverse hyperbolic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C11_FactorialsGamma.html">Factorials, Gamma and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C12_Miscellaneous.html">Miscellaneous functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B04_StatisticalDistributions/index.html">Statistical Distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B04_StatisticalDistributions/C01_Intro.html">Introduction to random variables and distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B04_StatisticalDistributions/C02_BaseClass.html">Base class for univariate distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B04_StatisticalDistributions/C03_BaseClassCont.html">Base class for continuous univariate distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B04_StatisticalDistributions/C04_BaseClassDiscrete.html">Base class for discrete univariate distributions</a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/index.html">Closed form distributions, based on elementary functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D01_Arcsine.html">Boost: Arcsine Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D02_Cauchy.html">Boost: Cauchy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D03_Exponential.html">Boost: Exponential distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D04_Gumbel.html">Boost: Gumbel (Generalized Extreme Value distribution Type-I) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D05_Hyperexponential.html">Boost: Hyperexponential Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D06_Kumaraswamy.html">!!!Boost: Kumaraswamy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D07_Laplace.html">Boost: Laplace distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D08_Logistic.html">Boost: Logistic distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D09_Pareto.html">Boost: Pareto distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D10_Rayleigh.html">Boost: Rayleigh distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D11_Triangular.html">Boost: Triangular Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D12_Uniform.html">Boost: Uniform distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D13_Weibull.html">Boost: Weibull (Minimum-Type-III) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D14_Dagum.html">Dagum (Burr Type III) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D15_Fisk.html">Fisk (log-logistic) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D16_Frechet.html">Fréchet (Maximum/Minimum-Type-II or Inverse Weibull) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D17_GEV.html">Generalized Extreme Value (Maximum) or GEV distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D18_GeneralizedPareto.html">Generalized Pareto distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D19_GompertzMakeham.html">Gompertz-Makeham distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D20_Lomax.html">Lomax distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D21_ShiftedGompertz.html">Shifted Gompertz distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D22_SinghMaddala.html">Singh-Maddala (Burr Type XII) distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/index.html">Closed form distributions, based on the error function</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D01_Levy.html">!!!Boost: Lévy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D02_Lognormal.html">Boost: Lognormal (Johnson <span class="math notranslate nohighlight">\(S_L\)</span>) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D03_Moyal.html">!!!Boost: Moyal Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D04_Normal.html">Boost: Normal (Johnson <span class="math notranslate nohighlight">\(S_N\)</span>) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D05_SkewNormal.html">Boost: Skew normal Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D06_Wald.html">Boost: Wald (or Inverse Gaussian) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D07_BirnbaumSaunders.html">Birnbaum-Saunders Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D08_ExponentialModifiedGaussian.html">Exponentially Modified Gaussian (EMG) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D09_FoldedNormal.html">Folded normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D10_HalfNormal.html">Half-normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D11_JohnsonSB.html">Johnson <span class="math notranslate nohighlight">\(S_B\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D12_JohnsonSU.html">Johnson <span class="math notranslate nohighlight">\(S_U\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D13_NormalMaximum.html">Normal maximum distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = 0\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D14_NormalMaximumModulus.html">Normal maximum modulus distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = 0\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D15_SinhAsinhNormal.html">Sinh-arcsinh normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D16_TruncatedNormal.html">Truncated normal distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/index.html">Closed form distributions, based on the incomplete gamma function</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D01_Chi.html">!!!Boost: Chi Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D02_ChiSquared.html">Boost: Chi-Squared distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D03_Gamma.html">Boost: Gamma (Pearson Type III, Erlang) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D04_InverseChiSquared.html">Boost: Inverse chisquared distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D05_InverseGamma.html">Boost: Inverse Gamma (Pearson Type V) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D06_Maxwell.html">!!!Boost: Maxwell Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D07_Nakagami.html">!!!Boost: Nakagami distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D08_Amoroso.html">Amoroso distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D09_LogChiSquared.html">Distribution of the logarithm of a <span class="math notranslate nohighlight">\(\chi^2\)</span> random variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D10_Hypoexponential.html">Hypoexponential (Generalized Erlang) Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D11_Lindley.html">Lindley distribution (generalized)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D12_SkewExpPower.html">Skew exponential power distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D13_Stacy.html">Stacy (generalized gamma) distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/index.html">Closed form distributions, based on the incomplete beta function</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D01_Beta.html">Boost: Beta (Pearson Type I and II) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D02_CentralFisherF.html">Boost: Central Fisher F distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D03_StudentT.html">Boost: Student <span class="math notranslate nohighlight">\(t\)</span> (Pearson Type VII) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D04_LogBeta.html">Distribution of the negative logarithm of a beta variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D05_BetaPrime.html">Beta-prime (Pearson Type VI) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D06_GeneralizedBetaType1.html">Generalized Beta (Type 1) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D07_GeneralizedBetaType2.html">Generalized Beta (Type 2) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D08_GeneralizedLogistic.html">Generalized logistic distribution (JKB Types I - IV)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D09_GeneralizedBetaExponential.html">Generalized beta-exponential distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D10_FellerPareto.html">Feller-Pareto distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D11_FisherZ.html">Fisher <span class="math notranslate nohighlight">\(z\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D12_SkewT.html">Skew t-distribution (Jones)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D13_PearsonRhoH0.html">Pearson’s rho distribution (under <span class="math notranslate nohighlight">\(H_0\)</span>)</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/index.html">Noncentral distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D01_noncentral_chi_squared.html">Boost: Noncentral <span class="math notranslate nohighlight">\(\chi^2\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D02_noncentral_student_t.html">Boost: Noncentral Student <span class="math notranslate nohighlight">\(t\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D03_noncentral_fisher_f.html">Boost: Noncentral Fisher <span class="math notranslate nohighlight">\(F\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D04_noncentral_beta_type_I.html">Boost: Noncentral Beta Type I distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D05_noncentral_chi.html">Noncentral Chi distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D06_rice.html">Rice (Nakagami-n) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D07_noncentral_pearson_rho.html">Noncentral distribution of the sample correlation coefficient</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D08_noncentral_beta_type_II.html">Distribution of the logarithm of a noncentral Beta Type II variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D09_noncentral_R2_type_I.html">Noncentral distribution (Type I) of Fisher’s <span class="math notranslate nohighlight">\(R^2\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D10_noncentral_R2_type_II.html">Distribution of the logarithm of a noncentral Fisher <span class="math notranslate nohighlight">\(1-R^2\)</span> variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D11_doubly_noncentral_student_t.html">Doubly non-central Student <span class="math notranslate nohighlight">\(t\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D12_doubly_noncentral_fisher_f.html">Doubly non-central Fisher <span class="math notranslate nohighlight">\(F\)</span> distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/index.html">Distributions related to multiple comparisons of means</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D01_MCP_introduction.html">Overview and literature</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D02_nmax_rho.html">Normal maximum distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \rho\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D03_nmm_rho.html">Normal maximum modulus distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \rho\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D04_nmax_rhoij.html">Normal maximum distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \lambda_i \lambda_j\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D05_nmm_rhoij.html">Normal maximum modulus distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \lambda_i \lambda_j\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D06_normal_range.html">Normal range distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D07_studentized_maximum.html">Studentized maximum distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D08_studentized_maxmod.html">Studentized maximum modulus distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D09_dunnett1_t.html">Distribution of Dunnett’s <span class="math notranslate nohighlight">\(t\)</span>, one-sided</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D10_dunnett2_t.html">Distribution of Dunnett’s <span class="math notranslate nohighlight">\(t\)</span>, two-sided</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D11_nair_t.html">Nair’s <span class="math notranslate nohighlight">\(t\)</span>-distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D12_halperin_t.html">Halperin’s <span class="math notranslate nohighlight">\(t\)</span>-distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D13_nelson_h.html">Nelson’s <span class="math notranslate nohighlight">\(h\)</span>-distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D14_studentized_range.html">Studentized range distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/index.html">Distributions related to multivariate statistical analysis</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D01_logrv_betaprod.html">Distribution of the sum of the negative logarithms of independent beta variables</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D02_betaprod.html">Distribution of the product of independent beta variables</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D03_central_wilks_lambda.html">Distribution of Wilks’ <span class="math notranslate nohighlight">\(\Lambda\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D04_wilks_lc.html">Distribution of Wilks’ <span class="math notranslate nohighlight">\(L_{vc}\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D05_wilks_lcm.html">Distribution of Wilks’ <span class="math notranslate nohighlight">\(L_{vcm}\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D06_wilks_ip.html">Distribution of Wilks’ test of independence of <span class="math notranslate nohighlight">\(p\)</span> variates</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D07_wilks_iblocks.html">Distribution of Wilks’ test of independence of <span class="math notranslate nohighlight">\(k\)</span> groups of variates</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D08_mauchly.html">Distribution of Mauchly’s test of sphericity vs general structure</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D09_box_samesize_cov.html">Distribution of Box’s test of equality of covariance matrices, equal sample sizes</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D10_box_cov.html">Distribution of Box’s test of equality of k covariance matrices, unequal sample sizes</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D11_box_mvn.html">Distribution of Box’s test for same multivariate normal distributions, unequal sample sizes</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D12_lrt_s0.html">Distribution of the modified likelihood ratio test (LRT) for a given covariance matrix</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D13_lrt_x0_s0.html">Distribution of the modified likelihood ratio test (LRT) for a given covariance matrix and mean vector</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D14_central_roy_largest_root.html">Central distribution of Roy’s largest root</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D15_central_pillai_v.html">Central distribution of Pillai’s <span class="math notranslate nohighlight">\(V\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D16_central_hotelling_t2.html">Central distribution of Hotelling’s <span class="math notranslate nohighlight">\(T^2\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D17_noncentral_wilks_lambda_manova.html">Noncentral Distribution of Wilks’ <span class="math notranslate nohighlight">\(\Lambda\)</span>: MANOVA</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D18_noncentral_wilks_lambda_canoncorr.html">Noncentral Distribution of Wilks’ <span class="math notranslate nohighlight">\(\Lambda\)</span>: Canonical Correlation</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/index.html">Miscellaneous continuous distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D01_KolmogorovSmirnov.html">Boost: Kolmogorov-Smirnov distribution (limiting form)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D02_landau.html">Boost: Landau Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D03_Holtsmark.html">Boost: Holtsmark distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D04_MapAiry.html">Boost: Map-Airy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D05_Saspoint5.html">Boost: Saspoint5 distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D06_levy_alpha_stable.html">Lévy alpha-stable distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D07_pearson_type_IV.html">Pearson Type IV distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D08_meixner.html">Meixner distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D09_voigt_profile.html">Voigt Profile Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D10_wrapped_cauchy.html">Wrapped Cauchy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D11_wrapped_normal.html">Wrapped normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D12_von_mises.html">Von Mises distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D13_generalized_inverse_gaussian.html">Generalized inverse Gaussian distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D14_harmonic.html">Harmonic distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D15_Halphen_A.html">Halphen A distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D16_Halphen_B.html">Halphen B distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D17_Inverse_Halphen_B.html">Halphen IB distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D18_generalized_hyperbolic.html">Generalized hyperbolic distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D19_hyperbolic.html">Hyperbolic distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D20_variance_gamma.html">Variance-gamma distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/index.html">Elementary discrete (lattice) distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D01_Bernoulli.html">Boost: Bernoulli distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D02_geometric.html">Boost: Geometric distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D03_poisson.html">Boost: Poisson distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D04_binomial.html">Boost: Binomial distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D05_negative_binomial.html">Boost: Negative binomial distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D06_hypergeometric.html">Boost: Classical hypergeometric distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D07_log_series.html">Log-series distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D08_zeta.html">Zeta distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D09_skellam.html">Skellam distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D10_delaporte.html">Delaporte distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D11_beta_poisson.html">Beta-Poisson distribution (Quinkert)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D12_beta_binomial.html">Beta-binomial distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D13_beta_negbinomial.html">Beta-negative binomial distribution (Waring)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D14_neghypergeo.html">Negative hypergeometric distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D15_polya.html">Pólya-Eggenberger distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D16_genhypergeo.html">General hypergeometric distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D17_hypergeo_nc_fisher.html">Noncentral hypergeometric distribution, Fisher alternatives</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/index.html">Discrete (lattice) distributions related to (stratified) rank tests</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D01_wilcoxon_signed_rank_t.html">Wilcoxon signed rank T distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D02_wilcoxon_bennett.html">Noncentral Wilcoxon signed rank T distribution, Bennett alternatives</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D03_mann_whitney_u.html">Mann-Whitney U distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D04_mann_whitney_u_lehmann.html">Noncentral Mann-Whitney U distribution, Lehmann alternatives</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D05_mann_whitney_u_milton.html">Noncentral Mann-Whitney U distribution, Milton alternatives</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D06_kendalls_tau.html">Kendall’s tau distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D07_jonckheere_terpsta_s.html">Jonckheere-Terpsta <span class="math notranslate nohighlight">\(T\)</span> distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D08_page_l.html">Generalized Page <span class="math notranslate nohighlight">\(L\)</span> distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D09_page_l_milton.html">Noncentral generalized Page <span class="math notranslate nohighlight">\(L\)</span> distribution, Milton alternatives</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C15_NonLatticeRank/index.html">Discrete (non-lattice) distributions related to rank tests</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C15_NonLatticeRank/D01_friedman.html">Cochran-Friedman-Quade distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C15_NonLatticeRank/D02_kruskal_wallis.html">Kruskal-Wallis distribution</a></li>
</ul>
</details></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B05_NumericalCalculus/index.html">Numerical calculus</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C01_Introduction.html">Introduction</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C02_DAmathRootfinding.html">DAMath: Numerical Rootfinding and Minimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C03_BoostRootfinding.html">Boost/Math: Root Finding and Minimization Algorithms</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C04_MpMathRootfindingOptimisation.html">Mpmath: Rootfinding and optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C05_DAmathQuadrature.html">DAMath: Numerical Quadrature</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C06_BoostQuadrature.html">Boost/Math: Numerical integration</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C07_MpMathIntegration.html">Mpmath: Numerical integration</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C08_MpMathInverseLaplaceTransform.html">Mpmath: Numerical inverse Laplace transform</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C09_BoostOdeint.html">Boost/Odeint: Ordinary differential equations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C10_MpMathDifferentiation.html">Mpmath: Numerical differentiation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C11_MpMathAsymptoticExpansions.html">Mpmath: Asymptotic expansions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C12_MpMathFunctionsApproximation.html">Mpmath: Function approximation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C13_MpMathSumsLimits.html">Mpmath: Sums, products, limits and extrapolation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C14_MpMathNumberIdentification.html">Mpmath: Number identification</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C15_MpMathPolynomials.html">Mpmath: Polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C16_EigenPolynomials.html">Eigen: Polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C17_EigenMinPack.html">Eigen/MinPack: non linear optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C18_EigenCppOptLib.html">Eigen/CppOptLib: multidimensional optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C19_FlintPolynomials.html">Flint/Functions for polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C20_FlintPowerSeries.html">Flint/Power series and Taylor arithmetic</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C21_FlintDifferentiation.html">Flint/Verified numerical differentiation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C22_FlintIntegration.html">Flint/Verified numerical integration</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B06_EigenDenseAndSparse/index.html">Eigen: Dense and Sparse Matrices</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C01_CreatingMatrices.html">Creating scalars and matrices</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C02_ReadOnlyProperties.html">Read-only properties: information about a matrix</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C03_GettingAndSetting.html">Accessing and setting parts of a matrix</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C04_ChangeShapeOrder.html">Changing the shape of a matrix and/or the order of coefficients</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C05_BasicArithmeticOperations.html">Basic arithmetic operations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C06_DescriptiveStatistics.html">Descriptive Statistics</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C07_StandardDecompositions.html">Standard decompositions and linear solving</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C08_SvdAndEigenSA.html">Singular Value and Eigen (selfadjoint) decompositions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C09_GeneralEigensystems.html">Eigen decompositions of general square matrices</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C11_EigenFunctionsOfMatrixArgument.html">Eigen: Functions of matrix argument</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C12_EigenFFT.html">Eigen: Fast Fourier Transform</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B07_NumpyMultiprecision/index.html">Numpy: use with multiprecision data types</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C01_ArraysFromShapeOrValue.html">Numpy array creation from shape or value</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C02_ArraysFromExistingData.html">Numpy array creation from existing data</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C03_ArraysForNumericalWork.html">Building special arrays for numerical work</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C04_NumpyIndexing.html">Numpy indexing</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C05_BasicArrayManipulation.html">Numpy basic array manipulation routines</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C06_TransposeLikeOperations.html">Numpy array manipulation: Transpose-like operations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C07_ChangingNumberOfDimensions.html">Numpy array manipulation: Changing number of dimensions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C08_JoiningArrays.html">Numpy array manipulation: Joining arrays</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C09_SplittingAndTilingArrays.html">Numpy array manipulation: Splitting and tiling arrays</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C10_AddingAndRemovingElements.html">Numpy array manipulation: Adding and removing elements</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C11_RearrangingElements.html">Numpy array manipulation: Rearranging elements</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C12_Sorting.html">Numpy array manipulation: Sorting</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C13_Searching.html">Numpy array manipulation: Searching</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C14_SumsProductsDifferences.html">Numpy mathematical functions: Sums, products, differences</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C15_ExtremaFinding.html">Numpy mathematical functions: Extrema Finding</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C16_ArithmeticElementwise.html">Numpy mathematical functions: Arithmetic operations, elementwise</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C17_AveragesAndVariances.html">Numpy mathematical functions: Averages and variances</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C18_MatrixAndVectorProducts.html">Numpy mathematical functions: Matrix and vector products</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C19_TruthValueTesting.html">Numpy logical functions: Truth value testing</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C20_IntegerAndFractional.html">Numpy mathematical functions: Integer and fractional</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C21_Miscellaneous.html">Numpy mathematical functions: Miscellaneous</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C22_NumpyUtilityFunctions.html">Summary and examples: Numpy utility functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C23_ArithmeticScalarsAndIterables.html">Arithmetic operations with scalars and iterables</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C24_DescritiveStatistics.html">Numerical transformations and descriptive statistics</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C25_LinearSolving.html">Standard decompositions and linear solving</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C26_EigenAndSVD.html">Singular Value and Eigen decompositions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C27_MatrixFunctions.html">Analytic functions of a matrix</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C28_DFT.html">Discrete Fourier transform (DFT)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C29_Flint_Matrices.html">Flint/Functions for matrices</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Special Functions</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B08_EllipticFunctions/index.html">Elliptic functions and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C01_CarlsonIntegrals.html">Carlson symmetric elliptic integrals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C02_MathematicaIntegrals.html">Legendre elliptic integrals (elliptic parameter <span class="math notranslate nohighlight">\(m\)</span>)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C03_LegendreIntegrals.html">Legendre elliptic integrals (elliptic modulus <span class="math notranslate nohighlight">\(k\)</span>), and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C04_JacobiEllipticFunctions.html">Jacobi elliptic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C05_JacobiThetafunctions.html">Jacobi theta functions and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C06_WeierstrassConversions.html">Conversions of parameters of Weierstrass <span class="math notranslate nohighlight">\(\wp\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C07_WeierstrassTau.html">Weierstrass elliptic functions, in terms of elliptic period ratio <span class="math notranslate nohighlight">\(\tau\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C08_ModularFormsTau.html">Modular forms, in terms of half-period <span class="math notranslate nohighlight">\(\omega_1\)</span> and elliptic period ratio <span class="math notranslate nohighlight">\(\tau\)</span></a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B09_LerchPhi/index.html">Lerch’s phi and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C01_LerchPhi.html">Lerch’s transcendent and Lerch’s zeta</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C02_Polygamma.html">Polygamma and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C03_Polylogarithm.html">Polylogarithm and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C04_HurwitzZeta.html">Hurwitz zeta and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C05_RiemannZeta.html">Riemann zeta function, and related functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B10_Hypergeometric0F1/index.html">Hypergeometric function <span class="math notranslate nohighlight">\(\,_0F_1\)</span> and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C01_Hyper0F1.html">Hypergeometric Limit Function <span class="math notranslate nohighlight">\(\,_0F_1\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C02_BesselGeneral.html">Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C03_ModifiedBessel.html">Modified Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C04_SphericalBessel.html">Spherical Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C05_ModifiedSphericalBessel.html">Modified spherical Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C06_HankelFunctions.html">Hankel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C07_AiryFunctions.html">Airy functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C08_KelvinFunctions.html">Kelvin functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B11_Hypergeometric1F1/index.html">Hypergeometric function <span class="math notranslate nohighlight">\(\,_1F_1\)</span> and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C01_Hyper1F1.html">Hypergeometric Functions <span class="math notranslate nohighlight">\(\,_1F_1\)</span> (Kummer) and <span class="math notranslate nohighlight">\(U\)</span> (Tricomi)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C02_IncompleteGamma.html">Incomplete gamma functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C03_CoulombPcf.html">Coulomb, Whittaker and parabolic cylinder function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C04_ErrorFunction.html">Error function and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C05_ExponentialIntegrals.html">Exponential integrals, and related functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B12_HypergeometricpFq/index.html">Hypergeometric functions <span class="math notranslate nohighlight">\(\,_2F_1\)</span> and <span class="math notranslate nohighlight">\(\,_1F_2\)</span> (and related functions)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C01_Hyper2F1.html">Gauss Hypergeometric Function <span class="math notranslate nohighlight">\(\,_2F_1\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C02_ChebyshevPoly.html">Chebyshev, Gegenbauer and Jacobi polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C03_LegendrePoly.html">Legendre polynomials and related</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C04_Incomplete_Beta.html">Incomplete beta functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C05_Hyper1F2.html">Hypergeometric function <span class="math notranslate nohighlight">\({}_1F_2\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C06_ScorerFunctions.html">Scorer functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C07_StruveFunctions.html">Struve functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C08_Anger_Weber_Lommel_Functions.html">Anger, Weber and Lommel functions</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Supporting Functions</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B13_AlgebraWithRandomVariables/index.html">Algebra with random variables</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C01_ProbabilityDensityFunction.html">Probability density function (pdf)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C02_ProbabilityMassFunction.html">Probability mass function (pmf)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C03_CumulativeDistributionFunction.html">Cumulative distribution function (cdf)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C04_QuantileFunction.html">Quantile function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C05_CharacteristicFunction.html">Characteristic function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C06_MomentGeneratingFunction.html">Moment generating function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C07_CumulantGeneratingFunction.html">Cumulant generating function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C08_ProbabilityGeneratingFunction.html">Probability generating function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C09_FactorialMoments.html">Factorial Moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C10_RawMoments.html">Raw Moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C11_CentralMoments.html">Central Moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C12_Cumulants.html">Cumulants</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B14_SeriesAndIntegrals/index.html">Series and integrals</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C01_FiniteSeries.html">Finite series algorithms for selected distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C02_InfiniteSeries.html">Infinite series algorithms for selected functions and distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C03_LatticeSeries.html">Finite series for lattice distributions, based on factorial moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C04_IntegrationBellShaped.html">Efficient integration of bell-shaped functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C05_VerifiedNumericalIntegration.html">Verified numerical integration</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B15_PmfVectors/index.html">Pmf vectors</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B15_PmfVectors/C01_BasicDiscrete.html">Basic discrete (lattice) distribution functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B15_PmfVectors/C02_Lattice.html">Discrete (lattice) distribution functions related to (stratified) rank tests</a></li>
<li class="toctree-l2"><a class="reference internal" href="B15_PmfVectors/C03_NonLattice.html">Discrete (non-lattice) distribution functions related to rank tests</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B16_FastApproximations/index.html">Fast approximations</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C01_NormalDistribution.html">Approximations based on the normal distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C02_ChiSquared.html">Approximations based on the chi-squared distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C03_CentralTFBeta.html">Approximations based on the central <span class="math notranslate nohighlight">\(t\)</span>, <span class="math notranslate nohighlight">\(F\)</span> or beta distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C04_NoncentralChiSquared.html">Approximations based on the noncentral chi-squared distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C05_NoncentralFBeta.html">Approximations based on the noncentral F or beta distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C06_Butler.html">Approximations based on hypergeometric functions of scalar argument</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Gallery of Plots</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B17_VisualisationOfDatasets/index.html">Visualisation of datasets</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C01_BarCharts.html">Bar Charts</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C02_LineCharts.html">Line and lollipop charts</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C03_AreaPlots.html">Area Plots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C04_BoxViolinRaincloudPlots.html">Boxplot, Violinplot and Raincloud plot</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C05_CorrelationAndRegression.html">Correlation and regression</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C06_Finance.html">Financial plots (requires mplfinance)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C07_Cartopy.html">Geographic data (requires cartopy)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C08_Geopandas.html">Geographic data (requires geopandas)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C09_PartsOfAWhole.html">Parts of a whole</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C10_Dendrograms.html">Dendrograms, heatmaps and clustermaps</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C11_PlotTable.html">PlotTable</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C12_Flow.html">Flow and connections</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C13_CircularPlotsAndFlows.html">Circular plots and flows</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C14_Networkx.html">Network data (requires networkx)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/index.html">Visualisation of functions and curves (2D)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C01_Intro_Parametric2D.html">Introduction to 2D functions plots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C02_BasicCurves.html">Basic curves</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C03_Spirals.html">Spirals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C04_DecorativeCurves.html">Decorative curves</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C05_GeneralCurveFamilies.html">General curve families</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C06_Fieldlines.html">Field lines</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C07_Contours.html">Contours</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C08_Complex.html">Complex functions rendered as contours</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C09_StreamsBarbsQuivers.html">Streams, barbs and quivers (some require cartopy)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B19_Bitmaps/index.html">Bitmaps</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C01_IntroFractals.html">Fractals: introduction</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C02_MandelbrotSet.html">Fractals related to the Mandelbrot set</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C03_JuliaSet.html">Fractals related to the Julia set</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C04_NewtonFractals.html">Newton Fractals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C05_DomainColoring.html">Domain coloring</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B20_Matplotlib3D/index.html">Matplotlib 3D Graphics</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C01_Introduction.html">Introduction</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C02_BasicExamples.html">Matplotlib: 3D Graphics (from Matplotlib tutorials)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C03_BasicGeometricFigures.html">S3dlib: Basic geometric figures</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C04_RealFunctions.html">S3dlib: Real functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C05_ParametricSurfaces.html">S3dlib: Parametric Surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C06_ImageMappingAndClipping.html">S3dlib: Image mapping and clipping</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C07_EdgeToEdgeSurfaceColoring.html">S3dlib: Edge-to-edge surface coloring</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C08_DecorativeSurfaces.html">S3dlib: Decorative parametric surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C09_GeometricDataGridMapping.html">S3dlib: Geometric and color datagrid mapping (requires scipy)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C10_ImplicitSurfaces.html">S3dlib: Implicit surfaces (requires scikit-image)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B21_Plotly/index.html">Plotly</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B21_Plotly/C01_GeneralSurface.html">General surface plots in 3D</a></li>
<li class="toctree-l2"><a class="reference internal" href="B21_Plotly/C02_GeographicalPlots.html">Geographical plots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B21_Plotly/C03_SankeyPlots.html">Sankey plots</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Interactive 3D Wpf Plots</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/index.html">Wpf: Altitude surfaces in 3D, real and complex functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/C01_Intro.html">Special techniques for height surfaces, real and complex functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/C02_Scatterplots_3D.html">Scatterplots and building 3D scenes</a></li>
<li class="toctree-l2"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/C03_RealFunctions.html">Height plots of general bivariate real functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B23_WpfParametricSurfaces/index.html">Wpf: Parametric surfaces</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C01_TranslationSurfaces.html">Surfaces of translation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C02_SurfacesOfRevolution.html">Surfaces of revolution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C03_GeneralisationsOfSurfaces.html">Generalisations of common surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C04_MinimalSurfaces.html">Minimal surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C05_NonorientableSurfaces.html">Nonorientable (one-sided) Surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C06_DecorativeParametricSurfaces.html">Decorative parametric surfaces</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B24_WpfPathSurfaces/index.html">Wpf: Path surfaces in 3D</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C01_Introduction.html">Introduction to path surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C02_FunctionsR2C.html">Functions with real input and complex results</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C03_CharacteristicFunctions.html">Characteristic functions of statistical distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C04_HelicesAndRelated.html">Helices and related curves traced on cylinders, cones and spheres</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C05_CoilSprings.html">(Coil) springs</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C06_GeneralKnots.html">General knots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C07_TorusKnots.html">Torus knots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C08_LissajousKnots.html">Lissajous knots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C09_PolynomialKnots.html">Polynomial knots</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B25_WpfBuiltInSurfaces/index.html">Wpf: Built-in 3D objects</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B25_WpfBuiltInSurfaces/C01_SolidsWithTextures.html">Builtin solids with support for textures</a></li>
<li class="toctree-l2"><a class="reference internal" href="B25_WpfBuiltInSurfaces/C02_SolidsWithoutTextures.html">Builtin solids without support for textures</a></li>
<li class="toctree-l2"><a class="reference internal" href="B25_WpfBuiltInSurfaces/C03_PlatonicSolids.html">Platonic solids, and related solids</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">User library: numerical</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="C01_UserGeneral/index.html">Additional Classes</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C01_UserGeneral/D01_UserlibPython.html">User defined functions based on multiple precision arithmetic (Python)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C01_UserGeneral/D02_UserlibFixedPrec.html">User defined functions based on fixed precision arithmetic (C#)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C01_UserGeneral/D03_UserlibArbPrec.html">User defined functions based on arbitrary precision arithmetic (C#)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C01_UserGeneral/D04_ComplexFunctions.html">Scalar functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="C02_UserDistributions/index.html">Distribution functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C02_UserDistributions/D01_MCP_distribution.html">Distributions related to multiple comparisons of means</a></li>
<li class="toctree-l2"><a class="reference internal" href="C02_UserDistributions/D02_Rank_test_lattice%20distributions.html">Discrete (lattice) distribution functions related to (stratified) rank tests</a></li>
<li class="toctree-l2"><a class="reference internal" href="C02_UserDistributions/D03_Rank_test_nonlattice%20distributions.html">Discrete (non-lattice) distribution functions related to rank tests</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="C03_UserInferentialStatistics/index.html">Inferential statistics</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C03_UserInferentialStatistics/D01_BasicTests1Sample.html">Basic classical statistical tests (stratified)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C03_UserInferentialStatistics/D02_BasicTests2IndepSamples.html">Basic classical statistical tests for 2 independent samples (stratified)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C03_UserInferentialStatistics/D03_BasicTests2CorrSamples.html">Basic classical statistical tests for 2 correlated samples (stratified)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="C04_UserSpecialCplx/index.html">Addditional special functions (complex arguments, double precision)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C04_UserSpecialCplx/D01_WeierstrassConversions.html">Conversions of parameters of Weierstrass <span class="math notranslate nohighlight">\(\wp\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="C04_UserSpecialCplx/D02_WeierstrassG2G3.html">Weierstrass elliptic functions, in terms of (real) lattice invariants <span class="math notranslate nohighlight">\(g_2, g_3\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="C04_UserSpecialCplx/D03_WeierstrassE1E2.html">Weierstrass elliptic functions, in terms of (real) lattice roots <span class="math notranslate nohighlight">\(e_1, e_2\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="C04_UserSpecialCplx/D04_WeierstrassOmega.html">Weierstrass elliptic functions, in terms of lattice half-periods <span class="math notranslate nohighlight">\(\omega_1\)</span> and <span class="math notranslate nohighlight">\(\omega_2\)</span></a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">User library: graphics</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="C05_UserDistributionPlots/index.html">Distribution functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C05_UserDistributionPlots/C01_Intro_Parametric2D.html">Introduction to 2D functions plots</a></li>
</ul>
</details></li>
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<h1>Overview</h1>
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<section id="overview">
<h1>Overview<a class="headerlink" href="#overview" title="Link to this heading">#</a></h1>
<p>Welcome to the documentation of <strong>XlCalcNet</strong> (Microsoft E<strong>X</strong>ce<strong>l</strong> addin for <strong>Calc</strong>ulations in multiprecision, based on Python<strong>Net</strong>), a python library that focusses on numerical calculations in multiple precision and data visualisation, which can also be used within MS Excel spreadsheet formulas. This edition of the documentation describes release 0.1.0. The documentation can also be downloaded in PDF format from <a class="reference external" href="https://github.com/duhadler/DocsXlCalcNet/blob/master/pdf/xlcalcnet.pdf">here</a>.</p>
<p>XlCalcNet is free software released under the Mozilla Public License <span class="math notranslate nohighlight">\(2.0\)</span> (see <a class="reference internal" href="99BackMatter/10_License.html#rst-mpl-2-0-license"><span class="std std-ref">License</span></a>). The git repository is <a class="github reference external" href="https://github.com/duhadler/XlCalcNet">duhadler/XlCalcNet</a>.</p>
<p>XlCalcNet can be installed as a python package from <a class="reference external" href="https://pypi.org/project/xlcalcnet/">PyPI</a>. More detailed information regarding the installation and general usage of XlCalcNet can be found <a class="reference internal" href="B01_GeneralUsage/C01_Setup.html#rst-setting-up-xlcalcnet"><span class="std std-ref">here</span></a>.</p>
<p>Since one of the main goals of XlCalcNet is to enable the use of functions written in Python or C# within spreadsheet formulas, it is assumed that Microsoft Excel (2010 or later, 64 bit) is installed on the users system, running under Windows (7.1 or later, 64 bit), with .NET Framework 4.8/4.8.1 installed.</p>
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<h1>Use with Microsoft Excel<a class="headerlink" href="#use-with-microsoft-excel" title="Link to this heading">#</a></h1>
<p>Once MS Excel has been prepared for using XlCalcNet (see <a class="reference internal" href="B01_GeneralUsage/C01_Setup.html#rst-setting-up-mpfunlab"><span class="std std-ref">here</span></a> for details), one can call small Python scripts in spreadsheet formulas and pass parameters from other spreadsheet cells. If the example workbook “Simple.xlsx” has been loaded, the following dialog box will appear when the user clicks on the “Insert Function” button in Excel’s formula bar:</p>
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<p>XlCalcNet can also be used for procedures. To access the relevant dialog, right-click anywhere on the spreadsheet. The following context menu will appear:</p>
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<p>Click on Navigator for XlCalcNet. The following dialog box will appear:</p>
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<p>This can be used to call external procedures, which are not used in spreadsheet formulas. The procedures can be used to generate plots, for example. The generated plots can be saved as bitmap files or as interactive 3D plots in a separate window.</p>
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<h1>Navigating the manual<a class="headerlink" href="#navigating-the-manual" title="Link to this heading">#</a></h1>
<p>This manual uses the <a class="reference external" href="https://sphinx-book-theme.readthedocs.io/en/stable/">sphinx book theme</a>, which has a number of features that make it easy to navigate.</p>
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<h2>Searching<a class="headerlink" href="#searching" title="Link to this heading">#</a></h2>
<p>Try the “Search “ box in the upper left corner. If you can’t see such a box, move the mouse cursor over the menu tree, and use the mouse wheel to move up the menu tree. As an example, type “gamma” in the search box. This will return not only the entry for the gamma function, but also a list of all occurrences of the word “gamma” in this documentation.</p>
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<p>The <a class="reference external" href="https://sphinx-book-theme.readthedocs.io/en/stable/">sphinx book theme</a> is used, which has a primary (left) and secondary (right) sidebar. The secondary sidebar is invisible when the browser window is not wide enough. So if something seems to be missing, try to make the browser window wider.</p>
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