not be. Similarly the type checking functions return a code Boolean code recording whether the argument expression is of a particular type. In Transact SQL, the functions return zero or one ... more details
The four ego functions postulated by C.G. Jung in Psychological Types are Sensation, Thinking, Feeling, and Intuition. Jung suggested that people start life developing one of these four ego functions, and at various stages throughout their life may develop others, the undeveloped ones having less effect on their cognition. Typically, the second ego function might become developed during adolescence, and the development of a third accounts for mid life crises. External links http www.kheper.net topics Jung typology.html The four ego functions kheper.net Category Jungian psychology ... more details
Special functions are particular function mathematics mathematical function s which have more or less ... functions contains functions which are commonly accepted as special . In particular, elementary functions are also considered as special functions . under construction Tables of special functions Many special functions appear as solutions of differential equation s or integral s of elementary functions . Therefore, tables of integrals ref name GR cite book last Gradshteyn first I. S. coauthors ... pages url doi id isbn ref usually include descriptions of special functions, and tables of special functions ref name IRENE cite book last Abramowitz first Milton authorlink coauthors Irene A. Stegun title Handbook of Mathematical Functions publisher date 1964 location pages url doi id isbn ref include most important integrals at least, the integral representation of special functions. Because ... of special functions is closely related to the theory of Lie group s and Lie algebra s, as well as certain ... the majority of special functions. Not all such systems have efficient algorithms for the evaluation, especially in the complex plane. Notations used in special functions In most cases, the standard ... allows easy translation of the expressions to algorithmic languages avoiding ambiguities. Functions ... on the context. For example, the Trigonometric functions tangent tangent function may be denoted ... of functions ambiguity and may lead to confusion. Superscripts may indicate not only exponentiation ..., as it is inconsistent with the others. Evaluation of special functions Most special functions ... with other special functions a complicated special function can be expressed in terms of simpler functions ... in the case of complex argument s . History of special functions Classical theory While trigonometry ... , the search for a complete and unified theory of special functions has continued since the nineteenth ... functions has its intellectual appeal, but it is worth noting other motivations. For a long time ... more details
In mathematics , two function mathematics functions math f math and math g math are called orthogonal if their inner product math langle f,g rangle math is zero for f     g . Whether or not two particular functions are orthogonal depends on how their inner product has been defined. A typical definition of an inner product for functions is math langle f,g rangle int f x g x ,dx math with appropriate integral integration boundaries. Here, the star is the complex conjugate . For an intuitive perspective on this inner product, suppose approximating vectors math vec f math and math vec g math are created whose entries are the values of the functions f and g , sampled at equally spaced points. Then this inner product between f and g can be roughly understood as the dot product between approximating vectors math vec f math and math vec g math , in the limit as the number of sampling points goes to infinity. Thus, roughly, two functions are orthogonal if their approximating vectors are perpendicular under this common inner product . http maze5.net ?page id 369 See also Hilbert space for a more rigorous background. Solutions of linear differential equation s with boundary conditions can often be written as a weighted sum of orthogonal solution functions a.k.a. eigenfunction s . Examples of sets of orthogonal functions Hermite polynomials Legendre polynomials Spherical harmonics Walsh function s Zernike polynomials Chebyshev polynomials Generalization of vectors It can be shown that orthogonality of functions is a generalization of the concept of orthogonality of vectors. Suppose we define V to be the set of variables on which the functions f and g operate. In the example above, V x since x is the only parameter to f and g . Since there is one parameter, one integral sign is required to determine orthogonality. If V contained two variables, it would be necessary to integrate twice over a range of each variable to establish orthogonality. If V is an empty set, then f and g ... more details
of Nash functions are well understood. The ring of germ mathematics germs of Nash functions at a point ... henselization of the ring of germs of rational functions. In particular, it is a regular local ring ... of Nash functions on a Nash manifold even non compact is noetherian ring noetherian was proved ... is generated by Nash functions on math U i math . Then math mathcal I math is globally generated by Nash functions on M , and the natural map math H 0 M, mathcal N to H 0 M, mathcal N mathcal I math is surjective ... manifolds. Generalizations Nash functions and manifolds can be defined over any real closed field instead of the field of real numbers, and the above statements still hold. Abstract Nash functions ... on Nash functions. Revista Matem atica Complutense 17 2004 , 83 115. G. Efroymson A Nullstellensatz ... more details
Soil functions are general capabilities of soil s that are important for various agriculture agricultural , ecosystem environmental , Environmental preservation nature protection , landscape architecture and Urban area urban applications. Six key soil functions are ref cite book author Blum, WEH date 1993 title Soil Protection Concept of the Council of Europe and Integrated Soil Research work Soil and Environment Vol 1 editor HJP Eijsackers and T Hamers pages 37 47 publisher Kluwer Academic Publisher, Dordrecht ref , ref cite book author DETR date 2001 title title unknown ref Food and other biomass production Environmental Interaction storage, filtering, and transformation Biological Habitat ecology habitat and gene pool Source of raw materials Physical and cultural heritage Platform for man made structures buildings, highways Mapping soil functions Soil map s can depict soil properties and functions in the context of specific soil functions such as agricultural food production, environmental protection, and civil engineering considerations. Maps can depict functional interpretations of specific properties such as critical nutrient levels, heavy metal levels or can depict interpretation of multiple properties such as a map of erosion risk index. Mapping of function specific soil properties is an extension of soil survey , using maps of Soil Soil components soil components together with auxiliary information including pedotransfer function s and soil inference models to depict inferences about the specific performance of soil mapping units. See also Digital soil mapping Pedotransfer function References references Category Soil science Functions, soil ... more details
Infobox journal title Functions of Language cover File Functions of Language cover.gif editor J. Lachlan Mackenzie, Anne Marie Simon Vandenbergen, Geoff Thompson discipline Linguistics abbreviation Funct. Lang. publisher John Benjamins Publishing Company John Benjamins country Netherlands frequency 2 issues a year history 1994 present openaccess license impact 0.389 impact year 2009 website http www.benjamins.com cgi bin t seriesview.cgi?series fol link1 link1 name link2 link2 name JSTOR OCLC 50141045 LCCN CODEN ISSN 0929 998X eISSN 1569 9765 Functions of Language is a Peer review peer reviewed academic journal that covers the field of linguistics treated from a functional perspective. It has been published by John Benjamins Publishing Company John Benjamins since 1994 new issues appear twice a year. The current Editor in chief editors in chief are J. Lachlan Mackenzie Vrije Universiteit Free University Amsterdam , Anne Marie Simon Vandenbergen Ghent University , and Geoff Thompson University of Liverpool . External links Official 1 http www.benjamins.com cgi bin t seriesview.cgi?series fol Category Linguistics journals Category Publications established in 1994 Category English language journals Category John Benjamins academic journals Category Biannual journals ... more details
Multiple issues cleanup February 2009 refimprove February 2009 In mathematics, a collection of n functions sub 1 sub , sub 2 sub , ..., sub n sub is unisolvent on domain if the vectors math begin bmatrix f 1 x 1 f 1 x 2 vdots f 1 x n end bmatrix , begin bmatrix f 2 x 1 f 2 x 2 vdots f 2 x n end bmatrix , dots, begin bmatrix f n x 1 f n x 2 vdots f n x n end bmatrix math are linearly independent for any choice of n distinct points x sub 1 sub , x sub 2 sub ... x sub n sub in . Equivalently, the collection is unisolvent if the matrix F with entries sub i sub x sub j sub has nonzero determinant det F 0 for any choice of distinct x sub j sub s in . Unisolvent systems of functions are widely used in interpolation since they guarantee a unique solution to the interpolation problem . Polynomial s are unisolvent by the unisolvence theorem Examples 1, x , x sup 2 sup is unisolvent on any interval by the unisolvence theorem 1, x sup 2 sup is unisolvent on 0,  1 , but not unisolvent on &minus 1,  1 1, cos x , cos 2 x , ..., cos nx , sin x , sin 2 x , ..., sin nx is unisolvent on &minus ,  Systems of unisolvent functions are much more common in 1  dimension than in higher dimensions. In dimension d 2 and higher     R sup d sup , the functions sub 1 sub , sub 2 sub , ..., sub n sub cannot be unisolvent on if there exists a single open set on which they are all continuous. To see this, consider moving points x sub 1 sub and x sub 2 sub along continuous paths in the open set until they have switched positions, such that x sub 1 sub and x sub 2 sub never intersect each other or any of the other x sub i sub . The determinant of the resulting system with x sub 1 sub and x sub 2 sub swapped is the negative of the determinant of the initial system. Since the functions sub i sub are continuous, the intermediate value theorem implies that some intermediate configuration has determinant zero, hence the functions cannot be unisolvent. References ... more details
Infobox album See Wikipedia WikiProject Albums Name Bodily Functions Type studio Artist Matthew Herbert Herbert Cover Alt Released June 5, 2001 Recorded 1997 2001 Genre Microhouse Length Label K7 Records K7 Producer Reviews Allmusic rating 4.5 5 ref cite web url Allmusic class album id r537310 pure url yes work Allmusic author Bush, John accessdate October 1, 2009 title Allmusic Bodily Function Overview ref Pitchfork Media 8.8 10 ref cite web url http pitchfork.com reviews albums 3834 bodily functions work Pitchfork Media author Cooper, Paul date June 5, 2001 accessdate October 1, 2009 title Pitchfork Album Reviews Matthew Herbert Bodily Functions ref PopMatters favorable ref cite web url http www.popmatters.com music reviews h herbert bodily.shtml work PopMatters author Strychalski, Kevin accessdate October 1, 2009 title Herbert Bodily Functions PopMatters Music Review ref Rolling Stone rating 3.5 5 ref cite web url http www.rollingstone.com reviews album 142154 review 5946835?utm source Rhapsody&utm medium CDreview work Rolling Stone author Caramancia, Jon accessdate October 1, 2009 title Bodily Functions Matthew Herbert Review Rolling Stone ref Last album Letsallmakemistakes br 2000 This album Bodily Function br 2001 Next album Goodbye Swingtime br 2003 Bodily Functions is a 2001 album released by electronic musician Matthew Herbert Herbert . It was released by K7 Records in 2001 to positive critical reception. Reception The music online magazine Pitchfork Media placed Bodily Functions at number 173 on their list of top 200 albums of the 2000s. ref cite web url http pitchfork.com features staff lists 7706 the top 200 albums of the 2000s 200 151 3 work Pitchfork Media author Pitchfork staff title The Top 200 Albums of the 2000s 200 151 date September 28, 2009 accessdate October 1, 2009 ref It was also named the 16th best album of the decade by Resident Advisor . ref cite news url http www.residentadvisor.net feature.aspx?1144 title Top 100 albums of the 00s date January ... more details
. ref name Sadd05 363 . Its components are known as Beltrami stress functions . math varepsilon math ... Nabla operator Maxwell stress functions The Maxwell stress functions are defined by assuming that the Beltrami ... functions which give a stress tensor which obeys the Beltrami Michell compatibility equations for stress ... of the elastostatic problem in terms of the stress functions ref Knops 1958 p327 ref expert ... function is a special case of the Maxwell stress functions, in which it is assumed that A B 0 and C ... y math Morera stress functions main Morera stress function The Morera stress functions are defined ... problem now consists of finding the three stress functions which give a stress tensor ... of the stress functions ref name Sadd05 365 Sadd, M. H. 2005 Elasticity Theory, Applications, and Numerics ... case of the Morera stress functions, in which it is assumed that A B 0 and C is a function of x ... more details
The Kelvin functions Ber sub sub x and Bei sub sub x are the real part real and imaginary part s, respectively, of math J nu x e 3 pi i 4 , , math Do not delete , it improves display of formula on certain browsers. where x is real, and math J nu z , math Do not delete , it improves display of formula on certain browsers. is the sup th sup order Bessel function of the first kind. Similarly, the functions Ker sub sub x and Kei sub sub x are the real and imaginary parts, respectively, of math K nu x e 3 pi i 4 , math , Do not delete , it improves display of formula on certain browsers. where math K nu z , math is the sup th sup order Bessel function Modified Bessel functions modified Bessel function of the second kind. While the Kelvin functions are defined as the real and imaginary parts of Bessel functions with x taken to be real, the functions can be analytically continued for complex arguments x&thinsp e sup i &thinsp sup , &thinsp &thinsp 0,  2 . With the exception of Ber sub n sub x and Bei sub n sub x for integral n , the Kelvin functions have a branch point at x     0. Ber x Image KelvinFunctionBer.png thumb right Ber x for math x math between 0 and 10. Image KelvinFunctionBerNorm.png thumb right math mathrm Ber x e x sqrt 2 math for math x math between 0 and 100. For integers n , Ber sub n sub x has the series expansion math mathrm Ber n x left frac x 2 right n sum k geq 0 frac cos left left frac 3n 4 frac k 2 right pi right k Gamma n k 1 left frac x 2 4 right k math where math Gamma z math is the Gamma function . The special case Ber math 0 ... Stegun ref 9 379 dlmf first F. W. J. last Olver first2 L. C. last2 Maximon id 10 title Bessel functions External links Weisstein, Eric W. Kelvin Functions. From MathWorld A Wolfram Web Resource. http mathworld.wolfram.com KelvinFunctions.html GPL licensed C C source code for calculating Kelvin functions ... functions Category Special hypergeometric functions ro Func ie Kelvin ... more details
, executive functions , supervisory attentional system , or cognitive control . The concept is used ... response or resisting temptation. The executive functions are often invoked when it is necessary ... chocolate cake while on a diet , the executive functions might be engaged to inhibit that response .... ref Cherkes Julkowski, M. 2005 . The Dysfunctionality of Executive Functions. Apache Junction, AZ Surviving Education Guides. ref The neural mechanisms by which the executive functions are implemented ... been a strong focus on the frontal lobes, but more recent brain research indicates that executive functions ... functions and their neural basis has increased markedly over recent years, the theoretical ... , to which executive functions are closely allied. In 1975, the US psychologist Michael Posner psychologist ... into executive functions. For example, Posner proposed that there is a separate executive branch ... based tests were used to assess more fundamental cognitive functions such as memory , learning , language ... involved in executive functions comes from laboratory tasks such as the stroop effect Stroop task ... for example, the word RED in green ink . Executive functions are needed to perform this task, as the relatively ... of PFC neurons Other evidence for the involvement of the PFC in executive functions comes from single ... functions is invariably context dependent. To quote an example offered by Miller and Cohen, a United ... the PFC and sensory regions when executive functions are used Despite the growing currency of the biasing model of executive functions, direct evidence for functional connectivity between the PFC and sensory regions when executive functions are used, is to date rather sparse. ref cite journal author ... whether this effect is specific to situations where executive functions are required. Other methods ... of processes thought to engage executive functions, such as working memory, ref cite journal ... information flows between the PFC and the rest of the brain when executive functions are used. Top ... more details
In mathematics , the Weierstrass functions are special function s of a complex variable that are auxiliary to the Weierstrass elliptic function . They are named for Karl Weierstrass . Weierstrass sigma function The Weierstrass sigma function associated to a two dimensional fundamental pair of periods lattice math Lambda subset Complex math is defined to be the product math sigma z Lambda z prod w in Lambda left 1 frac z w right e z w frac 1 2 z w 2 math where math Lambda math denotes math Lambda 0 math . Weierstrass zeta function The Weierstrass zeta function is defined by the sum math zeta z Lambda frac sigma z Lambda sigma z Lambda frac 1 z sum w in Lambda left frac 1 z w frac 1 w frac z w 2 right . math Note that the Weierstrass zeta function is basically the logarithmic derivative of the sigma function. The zeta function can be rewritten as math zeta z Lambda frac 1 z sum k 1 infty mathcal G 2k 2 Lambda z 2k 1 math where math mathcal G 2k 2 math is the Eisenstein series of weight math 2k 2 math . Also note that the derivative of the zeta function is math wp z math , where math wp z math is the Weierstrass elliptic function The Weierstrass zeta function should not be confused with the Riemann zeta function in number theory. Weierstrass eta function The Weierstrass eta function is defined to be math eta w Lambda zeta z w Lambda zeta z Lambda , mbox for any z in Complex math It can be proved that this is well defined, i.e. math zeta z w Lambda zeta z Lambda math only depends on w . The Weierstrass eta function should not be confused with the Dedekind eta function Dedekind eta function . Weierstrass p function The Weierstrass p function is defined to be math wp z Lambda zeta z Lambda , mbox for any z in Complex math The Weierstrass p function is an even elliptic function of order N 2 with a double pole at each lattice and no others. See also Weierstrass function planetmath id 4650 title Weierstrass sigma function Category Elliptic functions es Funciones de Weierstrass ... more details
how the resulting functions will vary. There is an idea of a versal unfolding. Every versal unfolding ... n math denote the ring mathematics ring of smooth functions. We define the Jacobian ideal ring theory ..., Curves & singularities, second edition, Cambridge University press, 1992 . Category Functions and mappings ... more details
Abramowitz and Stegun , the informal name for Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables NIST Handbook of Mathematical Functions mathdab ... more details
In mathematics , several function mathematics function s or groups of functions are important enough to deserve their own names. This is a listing of pointers to those articles which explain these functions in more detail. There is a large theory of special functions which developed out of statistics ... are infinite dimensional and within which most functions are anonymous , with special functions picked ... s. See also List of types of functions Elementary functions Elementary functions are functions built from basic operations e.g. addition, exponentials, logarithms... Algebraic functions Algebraic function s are functions that can be expressed as the solution of a polynomial equation with integer ... one math x frac 1 3 math . Elementary transcendental functions Transcendental function s are functions ... function s formally similar to the trigonometric functions. Logarithm s the inverses of exponential functions useful to solve equations involving exponentials. Natural logarithm Common logarithm Binary logarithm Indefinite logarithm Exponentiation Power functions raise a variable number to a fixed ... Square wave Triangle wave Special functions Basic special functions Indicator function maps x to either ..., as 1 or &minus 1. Absolute value distance to the origin zero point Number theoretic functions divisor ... of positive integers. Antiderivatives of elementary functions Logarithmic integral function Integral ... used in optics . Dawson function occurs in probability . Gamma and related functions Gamma function ... in multivariate statistics . Student s t distribution Elliptic and related functions Elliptic integral s Arising from the path length of ellipse s important in many applications. Related functions are the quarter ... phenomena. Particular types are Weierstrass s elliptic functions and Jacobi s elliptic functions ... Bessel and related functions Airy function Bessel function s Defined by a differential equation ... polynomials Riemann zeta and related functions Riemann zeta function A special case of Dirichlet ... more details
The Digital Library of Mathematical Functions DLMF is an online project at the National Institute of Standards and Technology to develop a major resource of mathematical reference data for special functions and their applications. It is intended as an update of Abramowitz and Stegun Abramowitz s and Stegun s Handbook of Mathematical Functions A&S . It was published online on May 7 2010, though some chapters appeared earlier. In contrast to A&S, whose initial print run was done by the U.S. Government Printing Office and was in the public domain , NIST asserts that it holds copyright to the DLMF under Title 17 USC 105 of the U.S. Code. ref cite web url http dlmf.nist.gov about notices title DLMF Notices publisher NIST accessdate 2010 12 28 ref References B. Cipra, http www.siam.org news news.php?id 819 A New Testament for Special Functions? , SIAM news, March 8 1998. D.W. Lozier, http math.nist.gov acmd Staff DLozier publications nistir6072.ps Toward a Revised NBS Handbook of Mathematical Functions, National Institute of Standards and Technology NIST span title Interagency Report IR span 6072, September 1997, 8 pages. citation publisher Cambridge University Press year 2010 title NIST Handbook of Mathematical Functions Companion to the Digital Library of Mathematical Functions editor first Frank editor last Olver editor2 first D. editor2 last Lozier editor3 first R.F. editor3 last Boisvert editor4 first C. editor4 last Clark isbn 978 0521192255 url http www.cambridge.org us catalogue catalogue.asp?isbn 0521192250 reflist External links http dlmf.nist.gov DLMF home page . http www.sciencedaily.com releases 2008 06 080627163210.htm NIST Releases Preview Of Much anticipated Online Mathematics Reference cite web title Birth of a Classic...Take Two url http www.youtube.com watch ... analysis Category Special functions es Biblioteca Digital de Funciones Matem ticas it Digital Library of Mathematical Functions ur ... more details
Summary Information Description View of the Function trees in the functions panel Source self made Date May 2008 Author David A. Pilo Mansion other versions Licensing PD self date May 2008 ... more details
Summary Non free use rationale Article Functions of Language Description cover of the journal Functions of Language Source http www.benjamins.com cgi bin t seriesview.cgi?series fol Portion all Low resolution yes Purpose to illustrate the article on the journal Replaceability no other information publisher John Benjamins Licensing Non free magazine cover Category Academic journal covers ... more details
Logic of Computable Functions LCF is a deductive system for computable functions proposed by Dana Scott in 1969 in an memorandum unpublished until 1993. ref Dana S. Scott. http www.cs.cmu.edu kw scans scott93tcs.pdf A type theoretical alternative to ISWIM, CUCH, OWHY . Theoretical Computer Science , 121 411 440, 1993. Annotated version of the 1969 manuscript. ref It inspired Logic for Computable Functions LCF , theorem proving logic by Robin Milner . ref Robin Milner 1973 . ftp reports.stanford.edu pub cstr reports cs tr 73 332 CS TR 73 332.pdf Models of LCF ref Programming Computable Functions PCF , small theoretical programming language by Gordon Plotkin . ref cite journal first Gordon D. last Plotkin authorlink Gordon Plotkin title LCF considered as a programming language journal Theoretical Computer Science year 1977 pages 223 255 volume 5 doi 10.1016 0304 3975 77 90044 5 url http homepages.inf.ed.ac.uk gdp publications LCF.pdf ref harv ref References references disambiguation Category Programming language theory ... more details
In mathematics , even functions and odd functions are function mathematics function s which satisfy particular ... if n is an odd integer. Even functions Image Function x 2.svg right thumb nowrap &fnof x x sup ... about the y axis. Examples of even functions are absolute value x , x sup 2 sup , x sup 4 sup , trigonometric function cos x , and hyperbolic function cosh x . Odd functions Image Function x3.svg ... degree s about the origin. Examples of odd functions are x , x sup 3 sup , trigonometric function ..., unless one of the functions is identically zero. The sum of two even functions is even, and any constant multiple of an even function is even. The sum of two odd functions is odd, and any constant multiple of an odd function is odd. The multiplication product of two even functions is an even function. The product of two odd functions is an even function. The product of an even function and an odd function is an odd function. The Division mathematics quotient of two even functions is an even function. The quotient of two odd functions is an even function. The quotient of an even function and an odd ... function is even. The function composition composition of two even functions is even, and the composition of two odd functions is odd. The composition of an even function and an odd function is even ... of even functions is even, and the even functions form a vector space over the real number real s. Similarly, any linear combination of odd functions is odd, and the odd functions also form a vector space over the reals. In fact, the vector space of all real valued functions is the direct sum of vector spaces direct sum of the linear subspace subspace s of even and odd functions. In other words ... sub is  sinh. The even functions form a algebra over a field commutative algebra over the reals. However, the odd functions do not form an algebra over the reals. Harmonics In signal processing , harmonic ... method Notes references Category Calculus Category Parity Category Types of functions ar ... more details
In mathematics, the prolate spheroidal wave functions are a set of functions derived by timelimiting .... The timelimited functions math psi n n math are the Prolate Spheroidal Wave Functions PSWFs . These functions are also encountered in a different context. When solving the Helmholtz equation ... spheroidal wavefunctions can be expanded as a series of Legendre functions. Let us note that if one ... in his 1935 article. There are different normalization schemes for spheroidal functions. A table ... wave functions were introduced by C. Niven in 1880 when studying the conduction of heat in an ellipsoid ... wave functions whose domain is a portion of the surface of the unit sphere are more generally called Slepian functions ref F. J. Simons, M. A. Wieczorek and F. A. Dahlen. Spatiospectral concentration ... ref F. J. Simons and Dahlen, F. A. Spherical Slepian functions and the polar gap in Geodesy ... spheroidal Wave functions Computing in Science & Engineering p. 84, May June 1999. I. Daubechies ... HWCIT Spheroidal functions Proceedings of the National Academy of Sciences USA 21 , 51 1935 C. Flammer Spheroidal Wave Functions. Stanford, CA Stanford University Press, 1957. Josef Meixner J. Meixner ... J. Corbat F. J. Corbat , Spheroidal Wave Functions. New York Wiley, 1956. M. Abramowitz and I. Stegun Handbook of Mathematical Functions http www.math.sfu.ca cbm aands page 751.htm pp. 751 ... hdl.handle.net 2027.42 5662 Tables of prolate spheroidal functions for m 0 Volume I. 1965 H. E. Hunter http hdl.handle.net 2027.42 5663 Tables of prolate spheroidal functions for m 0 Volume II. 1965 ... Functions Their Use and Evaluation The Journal of the Acoustical Society of America, 48 , pp. 102 ... Computer Program for Calculating the Prolate Spheroidal Radial Functions of the First and Second ...?dsn 354151 A FORTRAN Computer Program for Calculating the Prolate Spheroidal Angular Functions ... Thesis on numerical computation of spheroidal functions University of Western Australia External ... more details