Evaluating a function by approximating it in a rather large domain using the .

fredrikj.net/math/elefun.pdfCachedSimilarthese implementations generally do not provide rigorous error bounds (a . In this

math.wisc.edu/~park/Fall2011/sequences/seriesfunc.pdfCachedSimilarNov 19, 2008 . many terms). Polynomials are among the easiest functions to work with. They are

www.physics.miami.edu/nearing/. /mathematical_methods-one.pdfuntil you've sketched some graphs of functions you really don't know how they . .

www.rfcafe.com/references/mathematical/erf-erfc.htmCachedSimilarIn mathematics, the error function (also called the Gauss error function) is a

math.stackexchange.com/. /why-cant-erf-be-expressed-in-terms-of- elementary-functionsCachedSimilarNov 25, 2010 . I am not aware of any easy proof of this. Here is a proof that ∫ e x 2 cannot be

www-sop.inria.fr/members/Sylvain. /ChevillardRevolRNC8.pdfCachedSimilarThe error functions are widely used in statistics: the probability that a . Our

The elementary functions are rational algebraic function«, implicit algebraic . .

https://www.lri.fr/~melquion/doc/10-tc.pdfCachedSimilarfunctions in a mathematical library. Index Terms—Correctness proofs, error

https://www.scribd.com/. /Error-function-Wikipedia-the-free-encyclopediaCachedThe complementary error function, denoted erfc, is defined as . 2 Approximation

yacas.readthedocs.io/en/latest/reference_manual/calc.htmlCachedThese include functions implementing differentiation, integration, standard .

https://hal.archives-ouvertes.fr/ensl-00445343/documentCachedJul 14, 2010 . Keywords: Supremum norm, Approximation error, Taylor models, . Elementary

https://pdfs.semanticscholar.org/. /ef6f3eab3395def63df70bcfe4c0ff37c2cf. pdfCachedhave error bounds similar to those of Taylor polynomials, and share other

www.cnel.ufl.edu/courses/EEL6814/chapter5.pdfCachedSimilarfunction approximation for a special type of functions called indicator functions.

https://www.researchgate.net/. /256936262_Efficient_algorithmic_ implementation_of_the_Voigtcomplex_error_function_based_on_ . Similartial series approximation is based only on elementary functions, the algorithm . .

The elementary functions are rational algebraic functions implicit algebraic . .

129.81.170.14/~vhm/papers_html/final19.pdfCachedSimilaris one of the basic non-elementary special functions. The coefficient 2//π is a .

mathfaculty.fullerton.edu/mathews//n2003/. /TaylorPolyProof.pdfCachedAn important application is their use to represent the elementary functions: sin(x),

www.scielo.org.mx/pdf/rmf/v61n6/v61n6a10.pdfCachedSimilarexpression in terms of elementary functions. In 1996, Bassett proposed an

www.mdpi.com/2079-9292/5/2/17/pdfCachedApr 8, 2016 . for Elementary Function Hardware Implementations. Masoud Sadeghian 1 .

https://www.reddit.com/. /antiderivative_of_nonelementary_functions/CachedSimilarJan 20, 2015 . You would give the function a name, like the error function (it's actually . Is that

inis.jinr.ru/. /Winitzki. %20Uniform%20approximations%20of%20transcendental%20funct. CachedSimilarapproximants are built from elementary functions using known series . uniform

ieeexplore.ieee.org/document/4385491/A Certified Infinite Norm for the Implementation of Elementary Functions . sin, erf

docs.julialang.org/en/release-0.4/manual/mathematical-operations/CachedSimilarIf you define your own equality function, you should probably define a

www.acsel-lab.com/arithmetic/arith10/papers/ARITH10_Tang.pdfCachedSimilarTable-lockup algorithms for calculating elementary func- tions ofler superior .

https://www.mathworks.com/help/matlab/ref/erf.htmlCachedThis MATLAB function returns the Error Function evaluated for each element of x.

www.christoph-lauter.org/qsicpreprint.pdfCachedSimilarcondition number around points where the error function is defined only by .

nvlpubs.nist.gov/nistpubs/jres/73B/jresv73Bn1p1_A1b.pdfCachedSimilarThis is a compendium of indefinite and definite integrals of products of the Error

https://www.cs.purdue.edu/homes/wxg/selected_works/. /155.pdfCachedSimilarAsymptotics. The asymptotic behavior of the incomplete gamma functions is

www.m-hikari.com/ams/ams-2014/. /epureAMS85-88-2014.pdfCachedSimilarΦ, normal quantile, probit, error function, erf, erfc, Q function, cPhi, inverse erf .

functions, logarithms, and trigonometric functions. . an extension to add the

math.stackexchange.com/. /approximating-the-error-function-erf-by- analytical-functionsCachedSimilarMar 5, 2013 . Approximating the error function erf by analytical functions . shows up in many

www.sciencedirect.com/science/article/pii/00415553639039261040 Approximation with the aid of elementary functions 1041 where ^_ ^x_ "- " -

www.ams.org/mcom/1961-15-076/. /S0025-5718-1961-0134842-0.pdfSimilarputer programming of elementary transcendental functions. It is to be . function /(

Verdonk S. Becuwe M. Colman A. Cuyt H. Waadeland T. Docx Function

https://www.gnu.org/software/gsl/manual/gsl-ref.pdfDec 9, 2016 . 3.4 Using GSL error reporting in your own functions . . . . .. 13 . 4.8

ftp://www.cs.toronto.edu/na/reports/cmplx-elem-fcns.ps.gzCachedSimilarcal algorithms; Approximation|elementary function approximation; G.4 . . Error

www.pe.tamu.edu/. /data/. /PDF_Txt_Cmp_Elm_Fcn_(1965).pdfCachedAlgorithms used for Computing Elementary Functions on some. Soviet

https://docs.racket-lang.org/math/base.htmlCachedSimilarIn general, the functions provided by math/base are elementary functions, or

https://en.wikipedia.org/wiki/Error_functionCachedSimilarIn mathematics, the error function is a special function (non-elementary) of

www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2005/RR2005-43.pdfCachedSimilarThe implementation of a correctly rounded or interval elementary function needs

https://core.tcl.tk/tcllib/doc/trunk/embedded/www/. /special.htmlCachedGamma for the Gamma function, erf and erfc for the error function and the . the

https://www.safaribooksonline.com/library/. r. /ch010-sec009.htmlCachedPolynomial Approximations to Elementary Functions Elementary functions such

web.stanford.edu/class/ee486/doc/koren1990.pdfCachedSimilarrational approximations of the elementary functions, a method which is commonly

www.originlab.com/doc/. /Antiderivatives-of-Elementary-FunctionsCached2.1.16.6.2 Antiderivatives of Elementary Functions . erfcinv, Inverse complement

https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa. /19720010958.pdfCachedTO SOME ELEMENTARY FUNCTIONS SUITABLE FOR EVALUн . . error is

The elementary functions are rational algeterrns of braic functions, implicit

A DIGITAL-ANALOG FUNCTION FOR ANALYZING LOGICAL STATEMENTS TO

dl.acm.org/citation.cfm?id=2228926SimilarJul 1, 2012 . The functions erf and erfc computed with arbitrary precision and explicit . . target

functions.wolfram.com/GammaBetaErf/Erfi/. /ShowAll.htmlCachedSimilarThe probability integral (error function) has a long history beginning with the . .

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