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File:Hypergeometric distribution examples.svg
Rabu, 2024-12-04 11:36:21English Example of pdfs for the hypergeometric distribution. Greek Παραδείγματα συνάρτησης πιθανότητας της υπεργεωμετρικής κατανομής determination method...
Click to read more »File:NoncentralHypergeometricCompare1.png
Senin, 2026-03-09 02:32:40Comparison of Wallenius' and Fisher's noncentral hypergeometric distributions with same odds. I, the copyright holder of this work, hereby publish it under...
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Selasa, 2023-02-14 23:19:51Comparison of Wallenius' and Fisher's noncentral hypergeometric distributions with same mean. I, the copyright holder of this work, hereby publish it under...
Click to read more »File:Negative hypergeometric cdf.png
Sabtu, 2022-03-12 19:36:29Alike 4.0 truetrue English Several examples of the CDF of the negative hypergeometric probability distribution. author name string: T113355 URL: https://commons...
Click to read more »File:Negative hypergeometric pmf.png
Sabtu, 2022-03-12 19:36:34Alike 4.0 truetrue English Several examples of the PMF of the negative hypergeometric probability distribution. author name string: T113355 URL: https://commons...
Click to read more »File:WalleniusNoncentralHypergeometricRecursion1.png
Jumat, 2025-08-22 23:34:50recursion method for calculating probabilities from Wallenius' noncentral hypergeometric distribution. I, the copyright holder of this work, hereby publish it...
Click to read more »File:Real Hypergeometric.png
Minggu, 2026-01-11 01:10:08BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue English Hypergeometric Distribution Wikimedia username: Hareeshbk1840246 author name string:...
Click to read more »File:Fortran subroutines for the evaluation of the confluent hypergeometric functions (IA fortransubroutin14grag).pdf
Rabu, 2025-01-01 02:39:55confluent hypergeometric functions ( ) Author Gragg, William B.;Neta, Beny. Title Fortran subroutines for the evaluation of the confluent hypergeometric functions...
Click to read more »File:On some indefinite integrals of confluent hypergeometric functions (IA jresv74Bn2p85).pdf
Senin, 2024-11-11 11:19:56confluent hypergeometric functions ( ) Author Ng, Edward W. Geller, Murray Title On some indefinite integrals of confluent hypergeometric functions...
Click to read more »File:ComplementaryWalleniusNoncentralHypergeometric1.png
Senin, 2024-04-08 19:16:23probability mass function for the Complementary Wallenius' noncentral hypergeometric distribution, m1 = 80, m2 = 60, n = 40, odds = 0.05 ... 10 I, the copyright...
Click to read more »File:WalleniusNoncentralHypergeometric1.png
Minggu, 2024-01-07 23:45:21Plot of probability mass function for Wallenius' noncentral hypergeometric distribution, m1 = 80, m2 = 60, n = 100, odds = 0.1 .. 20 I, the copyright holder...
Click to read more »File:FishersNoncentralHypergeometric1.png
Senin, 2023-02-13 06:53:08Plot of probability mass function for Fisher's noncentral hypergeometric distribution, m1 = 80, m2 = 60, n = 100, odds = 0.01 .. 1000 I, the copyright...
Click to read more »File:Plot of the generalized hypergeometric function pFq(a b z) with a=(2,4,6,8) and b=(2,3,5,7,11) in the complex plane from -2-2i to 2+2i created with Mathematica 13.1 function ComplexPlot3D.svg
Selasa, 2022-08-30 17:57:32Attribution-Share Alike 4.0 truetrue English Plot of the generalized hypergeometric function pFq(a b z) with a=(2,4,6,8) and b=(2,3,5,7,11) in the complex...
Click to read more »File:Plot of the Kummer confluent hypergeometric function 1F1(a;b;z) with a=1 and b=2 and input z² with 1F1(1,2,z²) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1.svg
Minggu, 2026-01-18 02:10:38Attribution-Share Alike 4.0 truetrue English Plot of the Kummer confluent hypergeometric function 1F1(a;b;z) with a=1 and b=2 and input z² with 1F1(1,2,z²) in...
Click to read more »File:Plot of the hypergeometric function 2F1(a,b; c; z) with a=2 and b=3 and c=4 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg
Sabtu, 2026-01-24 23:45:16Creative Commons Attribution-Share Alike 4.0 truetrue English Plot of the hypergeometric function 2F1(a,b; c; z) with a=2 and b=3 and c=4 in the complex plane...
Click to read more »File:Plot of the confluent hypergeometric function 0F1(;a;z) with a=sqrt(2) and the input=z^2 as 0F1(;sqrt(2);z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1.svg
Kamis, 2025-12-11 00:09:28Attribution-Share Alike 4.0 truetrue English Plot of the confluent hypergeometric function 0F1(;a;z) with a=sqrt(2) and the input=z^2 as 0F1(;sqrt(2);z)...
Click to read more »File:The second virial coefficient for the realistic pair potential (IA jresv73An4p421).pdf
Minggu, 2024-08-25 06:26:52Description Journal of Research of the National Bureau of Standards Subjects: Hypergeometric series; London interaction; pair potential function; realistic potential;...
Click to read more »File:Mutual inductance of two parallel coaxial circles in terms of hypergeometrical series (IA mutu64895021910138138unse).pdf
Selasa, 2024-09-10 13:59:38circles in terms of hypergeometrical series ( ) Title Mutual inductance of two parallel coaxial circles in terms of hypergeometrical series Volume Bulletin...
Click to read more »File:Basic hypergeometric orthogonal polynomials (Chinese).jpg
Kamis, 2023-11-02 23:29:16DescriptionBasic hypergeometric orthogonal polynomials (Chinese).jpg English: Basic Hypergeometric orthogonal polynomials scheme (in Chinese) Date 5 February...
Click to read more »File:A HYBRID SAMPLING METHOD FOR THREE-WAY CONTINGENCY TABLES (IA ahybridsamplingm1094559595).pdf
Minggu, 2024-08-18 21:59:07interaction model. Unlike previous studies, we conduct SIS utilizing the hypergeometric distribution. Further, our hybrid method capitalizes on the positive...
Click to read more »File:Evaluations of approximations for shortage costs from major customers for a single period inventory model. (IA evaluationsofapp00noeg).pdf
Minggu, 2024-08-25 13:37:50along with the monovariable formula. evaluate the DERIVATION OF THE HYPERGEOMETRIC APPROXIMATION FORMULA B. Given two discrete mutually independent demand...
Click to read more »File:Sturm-Liouville eigenfunctions expressed in determinant form. (IA sturmliouvilleei00phil).pdf
Sabtu, 2026-01-24 05:59:31to solving the special case mentioned above. Special determinants of hypergeometric functions also possess Sturm-Liouville properties. As a special case...
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Rabu, 2024-08-21 13:14:46Methods 22 CHAPTER 3 28 M 23 24 26 QUANTIFYING RISK 28 Normal/Hypergeometric/Binomial/t Distributions Type A/Type BOC Curves 29 Nomographs 30...
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Minggu, 2024-08-18 13:50:35the hypergeometric function f(1 (17) See Amkvist and Berndt interesting [1, I , < given by formula (14) relating Gauss's hypergeometric function...
Click to read more »File:Wave propagation in stratified random media (IA jresv68Dn6p743).pdf
Minggu, 2024-08-18 14:00:07'It(p) satisfies the following hypergeometric differential equation (15) which ha s as its solution the hypergeometric function where !vI is an arbitrary...
Click to read more »File:Introduction to real orthogonal polynomials (IA introductiontore00thom).pdf
Sabtu, 2024-10-19 10:05:56and generalizations, some recently discovered. Using the theory of hypergeometric power series and their q -extensions, various structural properties...
Click to read more »File:Software needs in special functions (IA softwareneedsins5490lozi).pdf
Rabu, 2025-11-19 03:34:28and the incomplete elliptic integrals. Eight functions generalized hypergeometric and zeta functions, incomplete Bessel functions, integrals of Anger-...
Click to read more »File:Methods for the derivation and expansion of formulas for the mutual inductance of coaxial circles and for the inductance of single-layer solenoids (IA jresv1n4p487).pdf
Rabu, 2024-08-21 01:41:44integral formulas_ _ _ _ _ _ __ ___ __ _ _ __ __ ____ __ __ __ __ 2. Hypergeometric series expansions_ _ _ ____ ___ __ __ __________ 3. Series involving...
Click to read more »File:MARKOV CHAIN MONTE CARLO AND EXACT CONDITIONAL TESTS WITH THREE-WAY CONTINGENCY TABLES (IA markovchainmonte1094559705).pdf
Kamis, 2025-12-04 06:43:54values for 3 × 3 × K tables, in Chapter 4. 2.1.14 Hypergeometric Distribution The hypergeometric distribution serves as our conditional distribution...
Click to read more »File:Some wave functions and potential functions pertaining to spherically stratified media (IA jresv67Dn2p199).pdf
Rabu, 2024-10-02 23:13:35theory of the Luneberg lens is expressible in terms of the confluen t hypergeometric function. By substituting (7) into (2) and letting and P'::(cos 8)...
Click to read more »File:A course of modern analysis. An introduction to the general theory of infinite series and of analytic functions, with an account of the principal transcendental functions (IA courseofmodernan00whitrich).pdf
Senin, 2023-08-07 11:00:46the principal functions of analysis the Gamma, Legendre, Bes.sel, Hypergeometric, and Elliptic Functions. An account has also been given of those solutions...
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Sabtu, 2023-06-03 02:54:47binomial, and multinomial distributions . 1.6 Poisson, geometric, and hypergeometric distributions 1.7 Exercises . . . . . . . . . . . . . . . . . . . ....
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Sabtu, 2025-01-04 17:47:48fun ctions, volume IL __ ___ ___ ___ __ ____ ___ ____ __ _ MTI5. The hypergeometric and Legendre functions with applicat ions to integral equations of potential...
Click to read more »File:Gaussian wave functions for polyatomic molecules- integral formulas (IA jresv68Bn1p35).pdf
Kamis, 2026-06-04 20:10:02polynomial in generalized hypergeometric functions [15]. An alternative formula may be obtained by relating the confluent hypergeometric function to the Laguerre...
Click to read more »File:High speed numerical integration of Fermi Dirac integrals (IA highspeednumeric00thom).pdf
Senin, 2025-03-03 00:35:00In turn the Eqs. (18) and (19) by Eq. (17) require hypergeometric and confluent hypergeometric These subroutine were tested against known values in...
Click to read more »File:The dynamics of long waves in a barotropic westerly current with a three-dimensional velocity perturbation. (IA dynamicsoflongwa00stic).pdf
Jumat, 2025-09-26 11:27:17RESULTS OP TH3 PROBLEM THE MATHEMATICAL ^. 5. IV. 1 32 Confluent Hypergeometric Transformation (iii) 35 LIST OF ILLUSTRATiaiTS Page Tatle 1. ...
Click to read more »File:A table of integrals of exponential integral (IA jresv73Bn3p191).pdf
Minggu, 2024-08-18 01:37:30Confluent hypergeometric function J'I (a, b; c; x) f (a)//(b)" Hypergeometric function pFq Hp(x) /p(x) }p(x) Kp(x) Generalized hypergeometric function...
Click to read more »File:Dipole moment and structure of trioxane (IA jresv33n1p71).pdf
Kamis, 2026-04-30 21:08:54probability fu nctions, volume IL __________________________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Hypergeometrische Verteilung.PNG
Kamis, 2023-11-30 20:33:28Attribution 3.0 truetrue You may select the license of your choice. English Hypergeometric Distribution German Hypergeometrische Verteilung URL: https://commons...
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Jumat, 2025-09-05 21:05:10probability functions, volume IL __________________________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Plot of the Legendre function of the second kind Q n(x) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg
Selasa, 2022-08-30 17:57:32Creative Commons Attribution-Share Alike 4.0 truetrue English Plot of the hypergeometric function 2F1(a,b; c; z) with a=2 and b=3 and c=4 in the complex plane...
Click to read more »File:Evaporation of a liquid droplet (IA jresv81An2-3p257).pdf
Sabtu, 2025-03-01 14:08:30of Research of the National Bureau of Standards Subjects: Confluent hypergeometric functions; droplet; moving boundary problem; preheat; transient heat...
Click to read more »File:Memoirs of the American Academy of Arts and Sciences. (IA mobot31753002119300).pdf
Jumat, 2024-05-03 07:40:27Binary Families in a Triply connected Region, with Especial Reference to Hypergeometric Families. II. III. By D. R. Curtiss Brygos: his Characteristics...
Click to read more »File:Measurement of the refractive index and dispersion of optical glass for control of product (IA jresv32n1p39).pdf
Rabu, 2024-08-21 09:43:16probability functions, volume IL ____________________ ___ ___ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:The logical structure of experiments lays the foundation for a theory of reproducibility.pdf
Minggu, 2025-04-20 04:25:00ξexp and ξnor. These models represent the binomial, negative binomial, hypergeometric, Poisson, exponential and normal probability distributions for the data-generating...
Click to read more »File:Cdf hypergeometric distribution.svg
Kamis, 2025-11-20 17:30:47DescriptionCdf hypergeometric distribution.svg Ελληνικά: Παραδείγματα αθροιστικής συνάρτησης της υπεργεωμετρικής κατανομής Date 22 June 2023 Source Own...
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Kamis, 2026-04-16 16:43:44probability functions, volume lL ____________ ______________ _ MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Brain microRNAs among social and solitary bees.pdf
Selasa, 2025-10-07 22:59:23orthologous genes, and only genes with putative orthologues were included. Hypergeometric tests (using phyper in R) were used to test for over- or under-enrichment...
Click to read more »File:A treatise on ordinary and partial differential equations (IA treatiseonordina00johnrich).pdf
Sabtu, 2023-07-01 07:36:25the general solution of the binomial equation in the notation of the hypergeometric series, and Chapter IX to is and Legendre's equations. ends of the...
Click to read more »File:A treatise on ordinary and partial differential equations (IA cu31924001126204).pdf
Sabtu, 2025-03-01 08:04:47the general solution of the binomial equation in the notation of the hypergeometric Riccati's, Bessel's The examples series, and Chapter IX to and Legendre's...
Click to read more »File:Attenuation of species abundance distributions by sampling.pdf
Senin, 2025-04-21 08:13:17with (d)0 = 1 for 0 ≤ k ≤ d. The hypergeometric distribution in equation (5.2) stems from the multivariate hypergeometric distribution (equation (4.1)) as...
Click to read more »File:Handbook of mathematical functions with formulas, graphs, and mathematical tables (IA handbookofmathem1964abra).pdf
Minggu, 2024-08-18 16:17:36the special functions of applied mathematics (e.g., Bessel functions, hypergeometric functions, and orthogonal polynomials) for use in applications. The...
Click to read more »File:The buckling pressure of an elastic plate floating on water and stressed uniformly along the periphery of an internal hole - USACE-p266001coll1-5288.pdf
Selasa, 2025-04-01 17:45:42means of hypergeometric series F ( , ; ; ) as vk {r) = F [ ( 2 ± n ) l 4 , ( 4 ± n ) l 4 ; ( 2 ± n ) l 2 ; r 4 }. (4.8) The hypergeometric series are...
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Jumat, 2026-03-13 00:27:08probability functions, volume 1L __________________________ _ MT15. Th e hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:A table of integrals of the Error functions (IA jresv73Bn1p1).pdf
Minggu, 2024-08-18 16:11:38"'e- t z -dt t f'" -x e-t -dt t Confluent Hypergeometric Function Generalized Hypergeometric Function Yv(z) Hermite Polynomial Struve Function...
Click to read more »File:HYBRID SIS AND MARKOV CHAIN MONTE CARLO SAMPLING METHODOLOGY FOR GOODNESS-OF-FIT TESTS ON CONTINGENCY TABLES (IA hybridsisandmark1094560457).pdf
Rabu, 2026-02-04 16:38:06Distributions . . . . . . . . . . . . . . . . . . . . . . 40 4.4 Hypergeometric and Triangle Distributions . . . . . . . . . . . . . . 42 4.5 Goodness-of-Fit...
Click to read more »File:A treatise on linear differential equations (IA treatiseonlinear00crairich).pdf
Sabtu, 2023-07-01 07:32:39Goursat's Thesis on equations of the second order satisfied by the hypergeometric series. M. Goursat was kind enough to give me permission to make a translation...
Click to read more »File:Toward a revised NBS handbook of mathematical functions (IA towardrevisednbs6072lozi).pdf
Sabtu, 2020-07-25 20:19:29Functions and Related Functions 13 Confluent Hypergeometric Functions 14 Coulomb Wave Functions 15 Hypergeometric Functions 16 Jacobian Elliptic Functions...
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Rabu, 2024-08-21 13:20:58probability functio ns, volume 1L ______________ _________ ___ _ MT 15. The hypergeometric and L egendre function s with applications to integral equations of...
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Minggu, 2024-12-22 05:15:44is related to the higher hypergeometrical F (a, /3, y, 0, e, l) as the present series of curves to the simple hypergeometrical F (a, /3, y, l). The whole...
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Minggu, 2026-05-31 14:26:49Bernoulli, binomial, and multinomial distributions 1.6 Poisson and hypergeometric distributions . . . . . 1.7 Exercises . . . . . . . . . . . . . . ....
Click to read more »File:Long wave propagation in a triangular channel. (IA longwavepropagat00bowm).pdf
Senin, 2026-03-23 21:53:13substitutions nCO= e""^' equation and (9) (11) <13) c*>«) are put into hypergeometric form (Slater [1960J ): (15) where W= 3l£ m , and w' = Si g'on...
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Rabu, 2025-07-02 07:56:28America vol. 2 (1931) pp. 468-475. 146. Relations between confluent hypergeometric functions, Proc. Nat. Acad. Sci. U.S.A. vol. 17 (1931) pp. 689-690....
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Minggu, 2024-08-18 12:48:06unknown parameters The result is a results from conditioning on hypergeometric distribution \n\2)l \n U ; Since the totals in the margins are given...
Click to read more »File:Miniature Geiger-Muller counter (IA jresv30n2p157).pdf
Minggu, 2024-08-18 04:33:36functions, volume II ____________________________ -------- MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Preparation of sodium strontium galacturonate from citrus products (IA jresv33n5p401).pdf
Minggu, 2024-08-18 22:34:29probability fun ctions, volume IL ______________________ .. ___ _ MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Trasnformations of the fundamental equations of thermodynamics (IA jresv33n3p213).pdf
Kamis, 2026-06-04 22:41:44probability functions, volume II ______ ___ ______________ .. ___ _ MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:An approach to improve re-entry communications by suitable orientations of antenna and static magnetic field (IA jresv69Dn6p851).pdf
Selasa, 2024-08-20 17:25:23problem, (17a) can be satisfied by two linearly independent confluent hypergeometric functions and the required solution for HIJ can be written in the following...
Click to read more »File:Ten-year tests on commercial masonry cements (IA jresv31n1p45).pdf
Minggu, 2024-08-18 04:21:17probability functions, volume lL __________________________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potent...
Click to read more »File:Secular perturbations arising from the action of Saturn upon Mars - an application of the method of Arndt (IA secularperturbat00bartrich).pdf
Sabtu, 2025-12-13 20:53:02are of the form of the differential equation whose solution is the hypergeometric series, i. e., = x(x- 1) where a of the + = $, = T62 ft fl + l)-7]...
Click to read more »File:Laminar flow at the interface of two liquids (IA jresv32n6p303).pdf
Minggu, 2024-08-18 21:46:39probability functions, volume IL ____________ __ __ __ _______ __ MT15. The hypergeometric and Legendre funct ions with applications to integral equations of potential...
Click to read more »File:Perforated cover plates for steel columns- compressive properties of plates having a net-to-gross cross-sectional-area ratio of 0.33 (IA jresv30n5p411).pdf
Minggu, 2024-07-14 18:28:10are listed below. There is included in this list a publication on the hypergeometric and Legendre functions (MT15), prepared by the Bureau. MTI . TABLE or...
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Minggu, 2024-08-18 01:54:06probability functions, volume 11. ___ __________ _____________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:A counting method for the determination of small amounts of radium and of radon (IA jresv31n1p181).pdf
Rabu, 2024-08-21 17:37:29probability functions, volume IL __________ ___ ___ ___ __ ____ __ MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Askey Scheme hypergeometric orthogonal polynomials.jpg
Rabu, 2023-09-27 08:56:05DescriptionAskey Scheme hypergeometric orthogonal polynomials.jpg English: Askey Scheme hypergeom orthogonal polynomials Date 13 February 2015 Source Own...
Click to read more »File:Noise spectrum of a diode with a retarding field (IA jresv42n1p75).pdf
Jumat, 2024-12-06 08:48:59(85) and F is Kummer 's function [12], also known as the conflu ent hypergeometric fUllction. Accordingly, the expression for ii may be written, ~t _...
Click to read more »File:Magnetic polarizability of a short right circular conducting cylinder (IA jresv64Bn4p199).pdf
Minggu, 2024-08-18 06:54:31The second term in (33 ) vanishes unless p = O, in which case the hypergeometric function is easily summed: (35) Let the symbol oop be equal to unity...
Click to read more »File:Probability of detection calculation using MATLAB- (IA probabilityofdet00weiy).pdf
Jumat, 2020-07-24 05:57:46(Z) =Z H + ! 2 -J e 2 F^-v* simplified using the confluent hypergeometric function, Swerling function, relationships {Z+2-N)F1 {l,N;Z)+N-l...
Click to read more »File:Statistical aspects of the F-A-18 AGE Exploration Program (IA statisticalaspec00lind).pdf
Rabu, 2024-08-21 18:09:20p,, where p _ =0. d *ta Examples of Probabilities Computed from the Hypergeometric Distribution when x=n and Population Size is N = 20 . . 10 . ....
Click to read more »File:Heats and free energies of formation of the paraffin hydrocarbons, in the gaseous state, to 1,500 degrees K (IA jresv34n4p403).pdf
Minggu, 2024-08-18 16:09:55probability functions, volume IL __________________________ _ MT15. The hypergeometric and Legendre functi ons with applications to integral equations of potential...
Click to read more »File:A Probability Model and Patrol Planning Device for Counter-Insurgency Operations on the Mekong River. (IA probabilitymodel00dawd).pdf
Minggu, 2024-08-18 06:31:13for 14 the number of black and white balls drawn are defined by the Hypergeometric probability law: <i> p[N-«] B - (S) K-n) ( ( 8 k) and 2, PLM-m]...
Click to read more »File:Vapor pressure, latent heat of vaporization, and triple-point temperature of N2O (IA jresv34n3p281).pdf
Kamis, 2024-12-05 01:09:23probability functions, volume IL _____ ~ ____________________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Analogy of hydrated calcium silicoaluminates and hexacalcium aluminate to hydrated calcium sulfoaluminates (IA jresv33n6p471).pdf
Minggu, 2024-08-18 00:29:47Bureau on request. There is included in this list a publication on the hypergeometric and Legendre functions (MT15), prepared by the Bureau. MTI. TABLE OF...
Click to read more »File:Additions to the formulas for the calculation of mutual and self-inductance (IA add145375701919320320unse).pdf
Rabu, 2024-08-21 14:29:19all the possible essentially developments of Maxwell's different hypergeometric elliptic inte- gral formula (1). His formula (A) is the same as (5)...
Click to read more »File:Sampling expansion for a Languerre-La? transform (IA jresv80Bn3p415).pdf
Kamis, 2024-11-28 05:51:46so-called Laguerre function, (5) where M(a, b; x) is the confluent hypergeometric function. We should point out here that the Laguerre function in (5)...
Click to read more »File:Analysis of inelastic alpha particle scattering using direct interaction theory. (IA analysisofinelas00swan).pdf
Selasa, 2025-07-08 12:22:33<*"]&)- G (2-52) Equation (2-52) is in the form of the confluent hypergeometric equation which is solved in appendix A, A comparison of equation (A-l)...
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Sabtu, 2025-04-19 05:16:56differentially expressed genes from particular phylostrata using a two-tailed hypergeometric test with the Bonferroni correction (a ¼ 0.0025, equivalent to a false...
Click to read more »File:The statistics of finite bandwidth, modulated acoustic signals propagated to long ranges in the ocean, including multiple source effects. (IA statisticsoffini00mikh).pdf
Selasa, 2024-08-27 17:58:38second kind e = 4.34... £ defined as 10 log 1Q F(a,b;c;z) Gauss's hypergeometric series C,t,z,u variables of integration -20- G(p amplitude crossing...
Click to read more »File:Index to Volume 6 (IA indextovolume606unse).pdf
Selasa, 2022-01-18 18:36:26resistance thermometry at, C. W. Waidner and G. K. Burgess, 149. Hypergeometrical series. Mutual inductance of two parallel coaxial circles in terms...
Click to read more »File:A treatise on differential equations (IA cu31924067741821).pdf
Sabtu, 2025-03-01 07:50:10researches of Hermite and Halphen, and the geometrical applications of the hypergeometric series by Klein; only a very slight sketch of Jacobi's method for...
Click to read more »File:Relaxation of stresses in annealing glass (IA jresv34n2p199).pdf
Minggu, 2024-08-18 04:51:26probability functions, volume IL __________________________ _ MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Refractive-index standards of fluorcrown glass (IA jresv34n6p599).pdf
Senin, 2025-09-15 17:25:54probability functions, volume IL __________________________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:Formulas and tables for the calculation of mutual and self-inductance (Revised) (IA formul812871912169169unse).pdf
Rabu, 2024-08-21 18:13:30e/ as function of qu for use with formulas 6 and 6a. Coefficients in hypergeometric series of formula 18 Location and magnitude of maxima and minima of...
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Minggu, 2025-01-05 17:36:54(1973) has solved (6) using the more general form of the confluent hypergeometric functions without the restriction of (7). In such a case, the lateral...
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Selasa, 2024-12-31 16:59:18}J., bl ) -if; (r, -}J., CI)] (17) where (18) where F denotes the hypergeometric function, which has a meaning only if ~bl and ~ are less than unity...
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Jumat, 2023-06-30 13:40:31of 0.001. (1942) XXI+344 pages; bound in buckram, $2.00. MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
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Minggu, 2024-08-18 02:13:22Institute of Standards and Technology Subjects: computational algorithm; hypergeometric R-function; elementary symmetric function; elliptic integral; hyperelliptic...
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Minggu, 2025-04-20 04:27:14function (SMF) v(x) now known [6] to be a special solution of the Gauss hypergeometric differential equation. The Gauss variable x is the independent variable...
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Minggu, 2024-08-18 13:30:06functions such as the Bessel functions, the gamma and beta functions, hypergeometric functions and others useful for obtaining closed form solutions or qualitative...
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Rabu, 2026-05-27 18:54:22(eng)-Vealhurl-hypergeometric.wav Audio pronunciation file from the Lingua Libre project. Language InfoField English Transcription InfoField hypergeometric Date...
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Minggu, 2025-04-20 02:09:13features for the single data type FusionGP analysis, as determined by a hypergeometric test (p < 1−4 ). The size of the red circles indicates the number of...
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Selasa, 2026-01-13 07:20:50DescriptionHypergeometricPDF.png English: Hypergeometric PDF plot Date 11 September 2017 Source Own work Author Fuzzyrandom...
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Minggu, 2024-11-24 12:28:27task. A considerable amount of time was put into investigating the hypergeometric functions, particularly the Legendre functions. as a functional for...
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Jumat, 2025-11-14 16:16:02DescriptionHypergeometricCDF.png English: Hypergeometric CDF plot Date 11 September 2017 Source Own work Author Fuzzyrandom...
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Rabu, 2025-10-08 13:55:50- oc^ ir ^ d is obtained which can be inte- grated in terms of hypergeometric functions for a useful profile. On the other hand, it turns out that...
Click to read more »File:Centrifugal and Thermal Stresses in Conical Turbine Disks (IA centrifugaltherm43vavr).pdf
Rabu, 2024-08-21 09:37:41differential equation for the cen- trifugal stresses in conical disks by hypergeometric series. were used by Keller L 2J , L 3J , His results and Salzmann...
Click to read more »File:The London, Edinburgh and Dublin philosophical magazine and journal of science (IA londonedinburg6361918lond).pdf
Minggu, 2022-12-18 18:01:37(Plate VI.) the Dr. J. E. Airey on the Practical Im- Confluent Hypergeometric Function. 129 — — - CONTENTS OF VOL. XXXYI. IV Notices respecting...
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Jumat, 2021-03-05 21:53:17[8], [9]. The fonner two give expansions whi cll proceed in terms of hypergeometric functions besides a " leading term", while the la tter consists of an...
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Selasa, 2024-08-20 03:42:08variables (9) where (10) 136 We obtain the inhomogeneous confluent hypergeometric equation [Ia] ~ I /I YJH II + (l + 2n- YJ)H II - aIlH Il = - 1 ...
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Selasa, 2022-01-04 15:54:23.... .... Further Tests of Convergence The Binomial Series The Hypergeometric Series . l^ingsheim's Theory Arithmetic Operations on Series 114-115...
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Minggu, 2025-12-07 17:42:02an overlapping set of genes, in both gut and fat body. P values from hypergeometric tests. (B-C) In both gut and fat body, in the unions of sets of differentially...
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Minggu, 2026-05-24 13:47:14variables, (11) Dt a for /U,>1, where F(a,b;c;z) denotes the Gauss hypergeometric series [11]. Figure 2 illustrates (dc/dy) at y=0 as functions of x and...
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Sabtu, 2025-03-01 07:50:09.. 168 171 . 174 176 Miscellaneous Examples CHAPTER VI. THE HYPERGEOMETRIC SERIES. 183 special cases 113. Definition of the series 114, 115...
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Senin, 2024-08-19 01:22:59that the solution of (1. 6) may be expressed in terms of the confluent hypergeometric function. However, to obtain the required results it would still be...
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Minggu, 2025-04-20 02:02:06state. (For reference, the hypergeometric distribution X � HGðN, K, nÞ has p.m.f. N�K N N�r�X N =Cn and the negative hypergeometric distribution X � NHGðN...
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Selasa, 2026-06-02 18:55:10(t/i)p(n,m,i,t), • (6b) ^ where P(n,™,i.t) = (\] (-j)/0 is the hypergeometric probability function tabulated in [5] A small example, for n = 6,...
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Rabu, 2026-04-29 17:02:22solutions of tions by means of power series The hypergeometric equation 74. A limiting case-of the hypergeometric 75. Bessel's equation 76. 77. 78. 79...
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Minggu, 2024-08-18 07:09:15c=o The pdf for may be expressed in terms of the Humbert |v| hypergeometric series (see Ref. 2): f| = V i(p) H a 1 ' r / ^ 2 |i;i ,i a...
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Jumat, 2025-08-29 16:23:31Pearson* has pointed out occurring at random, takes the form of the hypergeometrical series . pN{pN-l)...(pN-n + l) N{N- 1)...{N- w + 1) ( w(w-l) ,...
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Sabtu, 2024-08-17 03:13:11thence the last relation being a consequence of Gauss' formula for the hypergeometric function F (15, 1; 16-!; 1); see [4] , eq (15.1.20). Since 30Ul 5= 0...
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Minggu, 2024-08-18 13:44:47and A:=(«-l). The pmf is 2.3 (N\ n- Poisson Distribution /w= Hypergeometric Distribution n /(i-z^r 2.6 for x = 0, 1, ... and E{X) = k{\-p)lp...
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Rabu, 2024-08-21 07:53:06as the See Erfc. Function The confluent hypergeometric function Confluent defined as is Hypergeometric Function Critical r(fl)r(c»-fl) Value ...
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Senin, 2025-05-05 08:49:59probability func tions, volume IL __________________________ _ MTI5. The hypergeometric and Legendre functions with applications to integral equations of potential...
Click to read more »File:A geometric approach to Burgers' Riccati equation. (IA geometricapproac00gall).pdf
Minggu, 2024-08-18 03:12:48ABDELKADER'S METHOD 30 E. HERMITE POLYNOMIAL SOLUTIONS 32 F. HYPERGEOMETRIC FUNCTION SOLUTIONS 33 CONCLUSIONS 35 V. A. BOUNDEDNESS PROPERTIES...
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Minggu, 2024-08-18 17:56:48we then obtain (0) The integral appearing here is one form of the hypergeometric function: [9] f(c) JI.h- I(l t)c- b- l(l t) - ad f(b)f(c- b) 0 Lz t...
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Senin, 2025-11-10 12:37:47with argument k1'. P ,( - cos 0) is the hypergeometric series which is a special case of the hypergeometric function F (a, (3, ",/, z) namely P ,(-cosO)...
Click to read more »File:Mutual inductance of any two circles (IA jresv1n4p531).pdf
Senin, 2024-08-19 13:58:21a: = -471"2a2 2 I ()2n 1 al D2n _ 2 x r n=l where F denotes the hypergeometric function. But n! r (n +~) r1 = (2n)! r2n+l p 2n (cos (J) = r;;. r...
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Kamis, 2026-05-28 20:56:43— for seed lots less than or equal to 3 000 seeds: application of a hypergeometric sampling scheme able to identify with 95 % reliability a level of presence...
Click to read more »File:Circular of the Bureau of Standards no. 544- formulas for computing capacitance and inductance (IA circularofbureau544snow).pdf
Minggu, 2024-08-25 16:59:532n r( 71+^2 ) (2.10) n! n=G .P( 7l+V2 , ^ +, 2; where a %/a %) (hypergeometric series). If the circles are coplanar, (^=77/2 ,/i=0 ) P (0) 2n (-1)...
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Sabtu, 2024-08-17 06:03:54expressed in terms of binomial coeffi cients, and identified as a hypergeometric series. For nearly equal cylinder radii, convergence can be accelerated...
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Rabu, 2024-08-21 16:33:05measurement of ity, 1:153. , mercurial 7:301. parallel coaxial hypergeometrical Resistance coils for alternating-current work, , high-temperattne...
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Rabu, 2024-08-21 15:25:55(McGraw· Hill Book Co., New York, N.Y., 1953). Slater, Lucy J., Confluent Hypergeometric Functions (University Press, Cambridge, 1960). Carsten, H. R. F., and...
Click to read more »File:A tabulation of Airy functions (IA tabulationofairy228doug).pdf
Minggu, 2024-08-18 12:55:09Smirnov, A. D. (I960), Tables of Airy functions and special confluent hypergeometric functions (Pergamon Press, Macmillan Co., New Wait, J. York). R...
Click to read more »File:E-transforms (IA jresv71Bn1p23).pdf
Kamis, 2026-05-21 09:42:02c tion and re duces to simple expression s in the ordinary or Gauss hypergeometric function whe n p = 2, q = l. For p = q = 1 it is also evide nt that...
Click to read more »File:Definite integrals of the complete elliptic integral K (IA jresv80Bn2p313).pdf
Selasa, 2025-12-30 14:18:09known integral. Seve ral results were obtained by writing K(u ) as a hypergeometric function and applying the general formulas of section 7.5 of refe re...
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Rabu, 2024-08-21 07:50:37the symbol * for multiplication. / for the division Section 3.3: Hypergeometric and Binomial Distributions Section 3.4: Other Discrete Distributions...
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Kamis, 2023-06-29 09:22:52Differentialgleichungen, Vol. 2, two imaginary solutions He of the hypergeometric series. in = ^r+(W-X)y now be new Several forms for (52) as limiting...
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Selasa, 2026-05-19 05:32:22represent Rummer functions U(ft are shorthand £) (confuent [15-17] hypergeometric functions) of the first and second kind, respectively, that is M(ft...
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Rabu, 2026-04-08 12:10:05r(2n + l)F n+"2,n+"2,2n+ljk 2 , (43) where (44) and where F is the hypergeometric function. It is evident that the function CPn(X-xl,r,rl) /-Jrrl is a...
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Minggu, 2024-08-18 03:59:51260 Bureau of Standards Journal of Research [vol s F denotes the hypergeometric function. It follows from this when (and only when) v = Jc = &n integer...
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Minggu, 2024-08-18 06:05:09inspection areas required by this order. Sampling shall be based on a hypergeometric distribution as described in Bishop, Flienberg, and Holland, Discrete...
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Rabu, 2020-12-30 04:41:24factor.* We have ' cm = (- m l m m -r( m \ ,- 1,1)1 , .- in the hypergeometric notation. At the suggestion of one of the referees the proof of (14)...
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Minggu, 2024-08-18 00:46:02The Mutual Induction of Two Parallel Coaxial Circles in Terms of Hypergeometrical Series.Frederick W. Grover 139. A New Method for the Absolute Measurement...
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Minggu, 2024-08-18 18:52:02items found is hypergeometrically distributed. It is assumed that N is much larger than n so the binomial approximation to the hypergeometric can be used...
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Kamis, 2025-01-02 16:18:38deviations from the underlying assumptions. There already exists a hypergeometric interpretation of relationships among animals (niche theory) that is...
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Jumat, 2026-03-06 10:08:09= 1. X 2 z>/2 (l6c) = 0 (l-I1) where M(a,b; z) is a confluent hypergeometric function. Thus Q- = -Q (JAW t:4l (l3) Thus, we have M(3 / 2 + v/2;...
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Minggu, 2024-08-18 22:27:47point is accounted for in the fundam ental theory by the fact that the hypergeometric series PvC -cos 8) used in the representation of the field has a discontinuityat...
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Rabu, 2026-02-11 13:22:16intensive indices such as Measure of Textual Lexical Diversity (MTLD) or Hypergeometric Distribution (HD-D). Random sampling or fixed-sample TTR can introduce...
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Kamis, 2026-05-28 20:52:35lots of seeds and leafy vegetables of less than or equal to 500 units: hypergeometric sampling scheme able to identify with 95 % reliability a level of presence...
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Minggu, 2023-02-19 00:32:43interpretation has tended The to be lost from more recent interpretations. hypergeometric concept of the niche and the n-dimensional sample space are analogous...
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Kamis, 2026-05-21 09:42:05is e vident that th e £ · fun c tion redu ces to th e co nflu e nt hypergeometric fun c tion or Kumm e r's fun c tion . Th e c ase p = 1, q = O yie ld...
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Minggu, 2024-08-18 16:52:48given observation to those occurring earlier in the sequence, using hypergeometric distributions that apply if the null hypothesis of no distributional...
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Sabtu, 2021-10-30 04:51:47probability fu nctions, volume IL ___ _______________ ________ _ MT15. The hypergeometric and Legendre functions with applications to integral equations of potential...
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Selasa, 2025-11-11 16:16:28...............................................................208 Hypergeometric Distribution .........................................................
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Jumat, 2026-05-01 22:08:57r(y) y- lxYe-XM(I, I + y, x) where 1\1(1 , I + y , x) is a confluent hypergeometric function [13]. Since x, which is equal to aa t , is invariably small...
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Selasa, 2024-03-19 14:52:22hyperelliptic) . tions. 351 Miscellaneous special functions. (Gamma, hypergeometric, automorphic, See also QA 406^109, etc.) Spherical harmonics, Bessel's...
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Minggu, 2024-08-18 12:33:11)2F{ a,b,l, - 47)~2) 1 a=2 (v+}'+I ) (37) The quantity 2FI is the Hypergeometric function [14]. Carrying out the differentiation, eq (36) becomes: II...
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Kamis, 2026-05-21 01:37:58at Liquid-Gas Surfaces 367 Mr. L. Isserlis The Application of Solid Hypergeometrical Series to Frequency Distributions in Space. (Plate VII.) 379 Mr. Allan...
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Minggu, 2025-05-04 10:03:53alternative hypothesis of biased sampling from Fisher’s non-central hypergeometric distribution [41] and find that the statistic relative to every year...
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Kamis, 2025-04-03 09:31:281). deterministic confidence interval for this percentage, using a hypergeometric distribution, is (F, F) = (34.1%, 44.0%) at the 90% confidence level...
Click to read more »File:Investigation of coherent and incoherent change detection algorithms (IA investigationofc1094556831).pdf
Selasa, 2024-08-20 23:01:16the number of local neighborhood pixels, and 2 G1 (⋅) is the Gauss hypergeometric function. The pdf is numerically integrated to give the theoretical...
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Kamis, 2024-09-19 10:18:54Mathematical Sciences, New York University. Slate r, L. J. (1960), Confluent hypergeometric functions (Cambridge University Press, London). Additional Related...
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Senin, 2025-04-21 05:38:31ηKx + η ϑ u� (y)2 , T 2 , (2.16) (2.17) (2.18) with the Gaussian hypergeometric function 2 F1 . The velocity profile (2.17) is visualized in figure...
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Minggu, 2026-01-25 03:44:55the differential made of such dependence ; for equation of the hypergeometric series. two independent x. It was not at first known how to express...
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Minggu, 2024-03-31 04:32:58distributions or conditional binomial distributions. The Poisson, geometric, hypergeometric, Recently, exponential, and other distributions have also been used...
Click to read more »File:Bulletin of the Philosophical Society of Washington (IA bulletinofp1419001904phil).pdf
Sabtu, 2025-10-18 04:35:20Bessel’s, Legendre’s, and Gauss’s well-known equation defining the hypergeometric series. The theory of each of these equations has been worked out in...
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Jumat, 2025-01-03 05:05:18Transformation of the equation v 2 = 0to polar coordinates. Zonal harmonics. Hypergeometric series. Legendre s ; functions. . ; of Velocity-potential Functions...
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Sabtu, 2025-04-12 11:37:27t) (6.85) where (see Slater, 1970, p.504) Mfo., 8, z) = Kummer s hypergeometric function 1 (6.86) The beta probability density provides a reasonable...
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Selasa, 2025-10-28 00:53:13R. Horne, B.Sc. (Lond.), Professor of Engineering, The Confluent Hypergeometric Functions Humbert. March Thermal Conductivity Robert Gordon’s Technical...
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Jumat, 2022-05-27 15:48:57Chapman, Trinity College. (Two Text-figure.s) Dougcdl's theorem on hypergeometric functions. By C. T. Preece, Trinity College. (Connnunicatcd by Dr G...
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Sabtu, 2025-05-31 16:18:29Kulerian constant. Harmonic constant Beta and Oainma timelions tjFSN Hypergeometric functions LfFSO Lfsp pi tunctiou Lfsr Spherical functions (Spherical...
Click to read more »File:Identification and characterization of circular RNAs in Qinchuan cattle testis.pdf
Sabtu, 2025-04-19 06:10:04Significantly enriched GO terms in source genes were defined by the hypergeometric test in comparison with the genome background. The calculated p-values...
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Selasa, 2025-07-22 16:15:48using PSIPRED [42,43]. 2.4. doublesex-binding motif discovery We used Hypergeometric Optimization of Motif EnRichment (HOMER) v4.11 [44] to scan the P. polytes...
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Minggu, 2025-04-20 01:38:55often concerned with only two random variables and in general involve hypergeometric functions [30–32]. Sacrificing absolute accuracy, the probability density...
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Sabtu, 2026-04-04 09:34:48P (x) are One such test is the Fisher Exact Test based on the hypergeometric distribution. The P value is determined by computing 33 TABLE VII...
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Rabu, 2025-10-22 10:23:18equation v 2 = 0to polar coordinates. 120 85, 86. Zonal harmonics. Hypergeometric series. Legendre s functions. Velocity-potential of a double-source...
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Minggu, 2024-08-18 12:18:33mathematical functions in applications. Among these are the Bessel functions, hypergeometric functions, elliptic integrals, probability distributions, and orthogonal...
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Minggu, 2024-08-18 19:12:01OF REGRESSION A NOTE ON RESIDUAL BAYESIAN ESTIMATION IN MULTIVARIATE HYPERGEOMETRIC FUNCTIONS IN SEQUENTIAL UNIFIED LEAST SQUARES THE ANALYSIS OF DISTURBANCES...
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Senin, 2025-04-21 08:25:26Bioconductor package GOseq [38]. GOseq performs a statistical test based on a hypergeometric distribution to determine if in a given list of DE tags (e.g. genes...
Click to read more »File:Size distribution of function-based human gene sets and the split–merge model.pdf
Minggu, 2025-04-20 02:45:05PK, Li W. 2006 Overlapping probabilities of top ranking gene lists, hypergeometric distribution, and stringency of gene selection criterion. In Conf. Proc...
Click to read more »File:Journal of the Bombay Natural History Society (IA journalofbombay961999bomb).pdf
Sabtu, 2025-08-16 05:59:31Ecol. 63(2): 215-244. Chapman, D.G. (1951): Some properties of the hypergeometric distribution with applications to zoological censuses. Univ. Calif...
Click to read more »File:Lamb - Hydrodynamics, 6th edition, 1945.djvu
Rabu, 2026-03-11 11:29:28Laplace's equation in polar co-ordinates 112 84,85. Zonal harmonics. Hypergeometric series . 113 86. Tesseral and sectorial harmonics 116 87,88. Conjugate...
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Kamis, 2025-10-23 11:23:28theory; poles. Transformation to polar coordinates. Zonal harmonics. Hypergeometric series. Legendre's functions. Functions ' of the second kind.' Tesseral...
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Minggu, 2024-08-18 07:14:28Distribution — Real — GROUP 63 Property MONTEREY 66 . 68 — Hypergeometric 69 2. Sample Selection and Testing 70 3. Statistical Inference...
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Rabu, 2023-08-09 14:11:18Introduction of elliptic functions 191 series Integrals expressed by hypergeometric The potential in terms of invariants 192 Transformation of coordinates...
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Kamis, 2026-03-05 21:38:27400 or less) and would have to be read from a table The based on the hypergeometric distribution. proposed single number is less confusing and will give...
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Kamis, 2026-04-02 13:31:43— for seed lots less than or equal to 3 000 seeds: application of a hypergeometric sampling scheme able to identify with 95 % reliability a level of presence...
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Rabu, 2025-10-29 21:01:51Issued separately April 27, 1922, Quantum Mechanism F.R.S. .75 Hypergeometric Function, and a M. MacRobert, M.A. Issued separately Ferromagnetic...
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Selasa, 2024-08-20 22:15:43K non-empty balls within N total balls can be represented with the hypergeometric distribution. P(X = x) = h(x; n, K, N) = K � N−K � n−x x N� n (2...
Click to read more »File:A Treatise On Differential Equations (IA ATreatiseOnDifferentialEquations).pdf
Sabtu, 2024-10-26 17:12:54108. 109. 110. 111. 112. (, A) + \ f (. ^)}y=0.155 CHAPTER VI. THE HYPERGEOMETRIC SERIES. 113. 114,115. 116. Definition of the series; special cases...
Click to read more »File:PhysRevC.96.064908.pdf
Kamis, 2020-10-01 03:19:27388 fm is the Bohr radius [67] of a two-pion state, is a generalized hypergeometric function, and G(qinv ) is the Gamow factor [68,69] 2 F2 G(qinv ) =...
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Jumat, 2025-10-24 16:04:47discrete uniform distributions, Beta-Binomial distributions and Negative Hypergeometric distributions have also yielded positive results (not shown here) and...
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Minggu, 2025-04-20 04:57:19papers, the interactions are found in terms of series expansions and hypergeometric functions; expressions that are often considerably more complicated...
Click to read more »File:An introductory treatise on dynamical astronomy (IA introductorytrea00plumrich).pdf
Rabu, 2023-08-09 14:11:19elliptic functions 190 Integrals expressed 191 The 1 92 ..... by hypergeometric potential in terms of invariants Transformation of coordinates CHAPTER...
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Kamis, 2022-06-23 10:12:37Transformation of the equation v 2 $ = 0to polar coordinates. Zonal harmonics. Hypergeometric series. Legendre's . ; functions. of Velocity- potential a 117...
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Senin, 2020-09-14 01:57:11reported Module-I gene set with human-specific expression delay (p<0.0001; hypergeometric test; Fig.S14D and Table S19). For example, MEF2A is a Type-2 gene and...
Click to read more »File:Ostmeyer2021 Article BeerMatsMakeBadFrisbees.pdf
Minggu, 2022-04-24 06:45:37the remaining differential equations can be solved analytically using hypergeometric functions. However, for the sake of gaining intuitive understanding...
Click to read more »File:A test of the hypothesis that the second parameters of paired binomial distributions are pairwise equal. (IA testofhypothesis00venz).pdf
Minggu, 2024-08-18 18:32:43j 3 ^ ) ! Rearranging appropriately yields 1 1 which is the hypergeometric distribution with first parameter (population size) 2m, second parameter...
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Minggu, 2024-08-18 12:18:43Poisson. k. Geometric. . . 21 5 Gamma 6. Binomial. 7. Hypergeometric. 8. Log-Normal. 9. Negative Binomial. 10. Exponential. The index...
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Senin, 2025-04-21 05:38:442 2 F1 1, 2 2 m (n + 2)π x2 x 0 m=0 where 2 F1 (a, b; c; z) is the hypergeometric function, as defined by 2 F1 (a, b; c; z) = �1 ∞ � (a)n (b)n zn Γ (c)...
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Jumat, 2024-05-03 05:52:52Equation. . . 169 . '73 Higher Order than the First 177 . Hypergeometric Series CHAPTER 192 Xll Partial Differential Equations 76. Primitives...
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Minggu, 2024-08-18 04:23:02product of powers of rational functions, exponentials, and confluent hypergeometric functions with arguments depending on both summation indices. As a result...
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Senin, 2024-04-08 20:02:55referred to general expressions of these types of integrals in terms of hypergeometric functions or Lege ndre functions. The sec tion numbers and the general...
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Rabu, 2024-08-21 14:46:24Pr(OETIZ=k) ., 1 ~ (1 - ~;,:/ (1) The probabi lity distribution of Z is hypergeometric: (2) Therefore: 3 Explanation and proof of the model's formu las are...
Click to read more »File:Mid and hindgut transcriptome profiling analysis of Atlantic salmon (Salmon salar) under unpredictable chronic stress.pdf
Selasa, 2025-11-18 09:21:24enriched pathways by performing an over-representation test, based on a hypergeometric model. KEGG pathways and GO terms were determined to be significantly...
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Selasa, 2026-03-10 01:50:29ð1:10Þ ð1:11Þ where equation (1.11) is Kummer’s classical confluent hypergeometric function of first kind, which we have estimated computationally using...
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Kamis, 2022-03-31 03:59:53articles refer to and Poisson's equa- and the equation of the hypergeometric tions, are forms that properly lie series, which beyond the scope...
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Jumat, 2025-11-07 17:17:08y) in (11) gives y + l;l;rf(l - p) (1 - <?)), the Gaussian hypergeometric series given by - (a)Ab). ZJ (13) and the term («), f is v defined...
Click to read more »File:PhysRevC.97.064912.pdf
Jumat, 2024-11-29 16:16:44range studied in this analysis. The absolute square of the confluent hypergeometric function of the first kind, F , present in , can be approximated as...
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Jumat, 2020-12-04 21:18:48P. 36 Approximating the Binomial and (Issued September 24, 1947) Hypergeometric Sawkins. 38 — Studies in Semiquinones. Part I. p-Phenylene Diamine...
Click to read more »File:The nonsingular embedding of transition processes within a more general framework of coupled variables (IA jresv65Dn6p595).pdf
Jumat, 2026-05-29 06:59:41may be expressed in terms of generalized hyp ergeometric fun cLions, hypergeometric functions, conflu ent hypergeomeLric functions, Bessel functions a nd...
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Senin, 2025-09-08 20:21:55Direct inversion of (14) leads to an infinite series of confluent hypergeometric functions, but this proved difficult to program and slow to execute...
Click to read more »File:CADAL11100274 統計學名詞.djvu
Sabtu, 2025-10-25 12:05:11鑫) C月ar屯 Hybrid sys tern.混合法 Hyperbola壁曲腺 Hypergeometric aeries超比数刘 Hypernormal distribu一超常悲分配 tion(Supernormal d: stribution)...
Click to read more »File:A normal mode model for estimating low-frequency acoustic transmission loss in the deep ocean. (IA normalmodemodelf00evan).pdf
Senin, 2025-01-06 02:23:49sech c (z/h) + tanh (z/h) B + D, (1-10) solutions which are hypergeometric functions [25]. He found a greater degree of focusing than Williams...
Click to read more »File:Power line noise models and energy detection in the high frequency radio band (IA powerlinenoisemo00odwy).pdf
Rabu, 2025-01-01 00:53:45r„ ) 1 2 e (2-38) 35 where A. t are F, is a confluent hypergeometric function, -two parameters that ar& determined by the source dis- ...
Click to read more »File:Memoranda mathematica; a synopsis of facts, formulae, and methods in elementary mathematics (IA memorandamathema00workrich).pdf
Senin, 2025-12-15 16:45:19l (gi--Pi)^ (n-9i)g 1- 1- form J' (a, ,..* for S^. Gauss's Hypergeometric Series, /3 + 1, 7 + 1, x)/F{QL, /3, 7, x). A valuable result is...
Click to read more »File:An elementary treatise on differential equations (IA elemtreatdif00coherich).pdf
Jumat, 2024-05-03 05:52:52Series, of Equations of Higher Order than the First Gauss s Equation. Hypergeometric Series CHAPTER . . 177 192 XII PARTIAL DIFFERENTIAL EQUATIONS...
Click to read more »File:Mutual inductance and force between two coaxial helical wires (IA jresv22n2p239).pdf
Minggu, 2024-08-18 22:09:0471" Jo~1-k2sin2(j (2 cos 2nO They may be expressed in terms of the hypergeometric series k2n+1 ¢,,(k)=2;"" r(n+~)r( n+~) ( 1 1 ) r(2n+l) F n+2",n+2"...
Click to read more »File:Index to Volume 9 (IA indextovolume909unse).pdf
Jumat, 2024-12-13 23:24:36Capacity The Mutual Induction of Two Parallel Coaxial Circles in Terms of Hypergeometrical Series Frederick W. Grover A New Method for the Absolute Measurement...
Click to read more »File:Age by redshift.png
Senin, 2026-01-12 01:30:29universe from redshift in Python: from scipy.special import hyp2f1 # hypergeometric function 2F1 is in integral solution import matplotlib.pyplot as plt...
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Rabu, 2026-06-03 10:15:27....91 89 . Interval of Convergence Tests of Convergence. The Hypergeometric . .86 ... ......... . . Theorem on the .77 90 . . . . ...
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Selasa, 2024-07-30 02:00:51tables of integrals involving Whittaker Functions and other Confluent Hypergeometric functions (Saksena (1953)). transform as a convolution transform expressed...
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Selasa, 2024-08-20 22:12:34second kind. Since O<k<l, it is defined for n=O, 1, 2, 3 * * * by the hypergeometric function k 2nH r 2 (n+X) CPn(k)= 2'1Tr(2n+1) F(n+t, n+t, 2n+1; k 2)...
Click to read more »File:Gamma processes (IA gammaprocesses00lewi).pdf
Minggu, 2024-08-18 23:01:48(1+u)(1+v) where F is is given by 1 +U+V ^(epsea.e,^), (4.5) the Hypergeometric function, defined by , F 2 » la D c zj ' - ' y l 1 n=0 r(a+n)r(b+n)r(c)...
Click to read more »File:Numerical examples in the investigation of a particular matrix in eigenvector theory. (IA numericalexample00yost).pdf
Senin, 2025-07-07 12:39:35which are being sought out in this investigation are known to have hypergeometric interpretations for n greater than three T4]. For n less than three...
Click to read more »File:Functions for thermal stress calculation near a transient heat source on a flat surface (IA jresv70Bn4p265).pdf
Senin, 2026-06-01 18:08:02from the definitions of (33) and the properties [6c ] of the confluent hypergeometric fun ctions t/J(a, b; z): e ~)~ r--n -1 G,.(g, 2 " 1 ) '"6 1' =...
Click to read more »File:Continental shelf waves over a continental slope. (IA continentalshelf00stur).pdf
Kamis, 2025-01-02 17:46:36of Marine Research 16 (2) , 367-368. 11. SLATER, L.J., Confluent Hypergeometric Functions , pp. 1-8, Cambridge University Press, 1960. 12. URSELL...
Click to read more »File:Quantum corrections to the second virial coefficient for the Lennard-Jones (m-6) potential (IA jresv75An1p57).pdf
Minggu, 2024-08-18 09:54:39the first two qua ntum corrections , obtain ed in terms of confluent hypergeometric fun ctions. In all cases our res ults were in com ple te agreement to...
Click to read more »File:Calculation of electron scattering cross sections for Carbon-Twelve and Lituium-Six using phase shift analysis. (IA calculationofele00denn).pdf
Minggu, 2024-08-18 08:51:25G and F of Eq. N R I RjI (10a) with those given in terms of the hypergeometric functions [5], = s ttv/2 S nY/2 T (k/ k )2 k - k |r<s R The ratio...
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Minggu, 2024-08-18 15:16:54(b 2) for n = 4 is hyp crgeometric: [c]25:411. D (bl) 1'01' n = 4 is hypergeometric: [c]25:207, [e]33:68. D (midrange): [d]21 :100. D (range): [c] 17:364...
Click to read more »File:Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders (IA jresv63Bn2p131).pdf
Sabtu, 2026-01-24 14:52:28n(z) for parabolic cylinder functions and W k.m(z) for the confluent hypergeometric function , we have (2 .3) 1 Figures in brackets indicate the literature...
Click to read more »File:Circular of the Bureau of Standards no. 24 4th edition- publications of the Bureau of Standards (IA circularofbureau244unse).pdf
Selasa, 2024-08-20 04:02:47The Mutual Induction of Two Parallel Coaxial Circles in Terms of Hypergeometrical Series (pp. 489-502). .Frederick W. Grover 139. A New Method for the...
Click to read more »File:Abstracts of papers not included in bulletins, finances, met(e)orology, index (IA abstractsofpaper268main).pdf
Minggu, 2024-08-18 21:46:08calculating the median and quartile classes. on material where the hypergeometrical gives good results. is known, this Tested method is an abstract...
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Minggu, 2024-08-18 05:52:09the case of (a) skew frequency curves curves, (c) parabolas of hypergeometrical of the moments (b) sine orders, (d) the point binomial. (e> all...
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Sabtu, 2024-05-11 07:31:19gusto, safe hidden from the flash of emerald eyes and the witchery of hypergeometrical noses. But temptation is not to be kept out by the diet of Adam and...
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Minggu, 2024-08-18 13:52:59by changing a few computer program state¬ ments. For example, the hypergeometric or double binominal could easily be substituted for the logistic function...
Click to read more »File:The London, Edinburgh and Dublin philosophical magazine and journal of science (IA londonedinburg6331917lond).pdf
Minggu, 2022-12-18 17:52:12Surface Deep Water 381 Dr. S. D. Wicksell on the Application of Solid Hypergeometrical Series to Frequency Distributions in Space Dr. L. Vegard on Results...
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Sabtu, 2025-11-08 02:12:53l)''4-&c. ... ... ... POLYOONAL Nu.MI!ERS ... ... ... FuiURATE Numbers Hypergeometrical Series Proof that Interest c" is ... incommensurable ... ... ••...
Click to read more »File:The London, Edinburgh and Dublin philosophical magazine and journal of science (IA londonedinburgh5471899lon).pdf
Rabu, 2020-12-16 03:00:01dissipated in Condensers Prof. Karl Pearson on certain Properties of the Hypergeometrical Series, and on the fitting of such Series to Observation Polygons in...
Click to read more »File:Circular of the Bureau of Standards no. 24 2nd edition- publications of the Bureau of Standards (IA circularofbureau242unse).pdf
Minggu, 2024-08-18 01:01:24The Mutual Induction of Two Parallel Coaxial Circles in Terms of Hypergeometrical Series (pp. 489-502). .Frederick W. Grover 139. A New Method for the...
Click to read more »File:Tables of the inverse Laplace transform of the function e -S-Beta (IA jresv95n4p433).pdf
Minggu, 2024-08-18 17:34:5127/' where Ai(A:) is an Airy function and U(x,y, z) is a confluent hypergeometric function [29]. Typical results for the relative error are given in table...
Click to read more »File:Circular of the Bureau of Standards no. 24 3rd edition- publications of the Bureau of Standards (IA circularofbureau243unse).pdf
Minggu, 2024-08-18 04:57:15The Mutual Induction of Two Parallel Coaxial Circles in Terms of Hypergeometrical Series (pp. 489-502). .Frederick W. Grover 139. A New Method for the...
Click to read more »File:Publications of the National Bureau of Standards, 1901 to June 30, 1947 (IA publicationsofna460unse).pdf
Sabtu, 2024-08-17 23:52:53The mutual inductances of two parallel coaxial circles in terms of hypergeometrical series. Frederick W. Grover. 5139. A new method for the absolute measurement...
Click to read more »File:F.d.p. hipergeométrica.svg
Senin, 2020-12-28 02:28:39legendados na imagem English: Graph of probability distribution function of hypergeometric distribution. The parameters are labeld on the image Date 20 July 2017...
Click to read more »File:F.d.a. hipergeométrica.svg
Senin, 2020-12-28 02:28:39legendados na imagem English: Graph of cumulative distribution function of hypergeometric distribution. The parameters are labeld on the image Date 20 July 2017...
Click to read more »File:Election Samples.png
Selasa, 2020-10-27 10:28:26pass unnoticed to sway a close election. The graph uses 1 minus the hypergeometric distribution for the odds of missing the erroneous precincts. If more...
Click to read more »File:Prob5.10-fig1.jpg
Sabtu, 2026-03-14 03:44:16DescriptionProb5.10-fig1.jpg English: Plot of a hypergeometric function Date 27 October 2012, 23:41:41 Source Own work Author Egm6321.f12.team5.kim...
Click to read more »File:Prob5.10-fig2.jpg
Minggu, 2022-10-30 18:40:13DescriptionProb5.10-fig2.jpg English: Plot of a hypergeometric function and a polynomial representation Date 27 October 2012, 23:41:46 Source Own work...
Click to read more »File:Prob5.10-fig3.jpg
Minggu, 2024-12-15 01:41:19DescriptionProb5.10-fig3.jpg English: Plot of a hypergeometric function and its polynomial representation for x = [-10, 10]. Date 27 October 2012, 23:49:34...
Click to read more »File:UniverseTimeline.png
Kamis, 2025-12-04 02:04:31the Hyperspherical Universe of all type 1A Supernovae (SN1a) and the Hypergeometrical Universe Theory Predictions Date 1 June 2004 Source Own work Author...
Click to read more »File:Loi hypergéométrique.gif
Selasa, 2020-10-27 21:27:12I, the copyright holder of this work, hereby publish it under the following license: This file is licensed under the Creative Commons Attribution-Share...
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Sabtu, 2020-08-29 13:46:57I, the copyright holder of this work, hereby publish it under the following license: This file is licensed under the Creative Commons Attribution-Share...
Click to read more »File:Elementary Statistics Video Lecture Discrete Distributions.ogv
Senin, 2020-10-05 23:07:20probability distribution, the geometric probability distribution, and the hypergeometric probability distribution; and classify discrete word problems by their...
Click to read more »File:Overlap with late-replicating domains.webp
Minggu, 2023-10-15 21:26:33late-replicating domains.webp English: "The heatmap color-codes the hypergeometric overlap analysis between age-related CpGs (columns) and CpGs related...
Click to read more »File:CoulombScatter.gif
Senin, 2024-04-22 05:54:43Schrödinger equation, for this animation using the unscaled Kummer confluent-hypergeometric expression from Messiah. In particular note the phase lag experienced...
Click to read more »File:Chromatin state analysis of age-related CpGs.webp
Selasa, 2024-03-05 19:48:39analysis of age-related CpGs.webp English: "The heatmap color-codes the hypergeometric overlap analysis between age-related CpGs (columns) and two groupings...
Click to read more »File:Pbio.0060038.g002 (13951039267).png
Senin, 2024-11-04 21:59:37in species A that can be mapped to species B. (B) The significance (hypergeometric p-value) of each pairwise overlap. (C) The inference of gain and loss...
Click to read more »File:DOfZ.png
Minggu, 2024-05-05 15:19:56DescriptionDOfZ.png English: Hypergeometrical Universe Cosmological Ruler d(z) Date 1 January 2015 Source Own work Author Ny2292000...
Click to read more »File:Enrichment with Transcription factor binding regions.webp
Sabtu, 2024-08-24 14:30:19The heatmap color codes -log10 (unadjusted hypergeometric P value). Unadjusted, one-sided hypergeometric P values (odds ratio) are listed on the heatmap...
Click to read more »File:Biological pathways and functional gene sets enriched in age-related CpG sites.webp
Kamis, 2023-11-23 19:57:54enrichment analysis (bottom). All enrichment analyses were based on hypergeometric tests with background based on the mammalian array. The bar plots in...
Click to read more »File:Schwarz triangle function.svg
Senin, 2023-11-13 02:08:47triangle map at z=infinity. a, b, c, ap, bp, cp: Parameters to the hypergeometric functions. """ a = (1 - alpha - beta - gam)/2 b = (1 - alpha + beta...
Click to read more »File:Pbio.1000414.g004 (14157822653).png
Minggu, 2026-01-25 12:13:48STE12 motif instances are enriched upstream of this gene set (P<10−3, Hypergeometric test). Bottom panel: Nucleosome data and STE12 sites location shown...
Click to read more »File:Plot of the Bateman function k n(z) with n=7 in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg
Rabu, 2025-03-05 22:48:30ComplexPlot3D Mathematica input: ComplexPlot3D[E^-z/Gamma[1 + 1/2 7] HypergeometricU[-1/2 7, 0, 2 z], {z, -(1/2) - I, 1/2 + I}, PlotLegends -> Automatic...
Click to read more »File:EWAS-TWAS and EWAS-GWAS enrichment.webp
Kamis, 2024-10-10 10:39:45Both panels utilize unadjusted, one-sided hypergeometric P values, with a background for hypergeometric tests derived from genes (panel a) or genomic...
Click to read more »File:Meta-analysis of methylation change in function of chronological age across species and tissues.webp
Senin, 2023-10-16 09:41:09are presented in each cell. The color gradient is based on −log10 (hypergeometric P value) times sign of OR > 1. The complete results are listed in Extended...
Click to read more »
_with_a=(2,4,6,8)_and_b=(2,3,5,7,11)_in_the_complex_plane_from_-2-2i_to_2+2i_created_with_Mathematica_13.1_function_ComplexPlot3D.svg){kind=link}
_with_a=1_and_b=2_and_input_z²_with_1F1(1,2,z²)_in_the_complex_plane_from_-2-2i_to_2+2i_with_colors_created_with_Mathematica_13.1.svg){kind=link}
_with_a=2_and_b=3_and_c=4_in_the_complex_plane_from_-2-2i_to_2+2i_with_colors_created_with_Mathematica_13.1_function_ComplexPlot3D.svg){kind=link}
_with_a=sqrt(2)_and_the_input=z^2_as_0F1(;sqrt(2);z)_in_the_complex_plane_from_-2-2i_to_2+2i_with_colors_created_with_Mathematica_13.1.svg){kind=link}
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![File:Prob5.10-fig3.jpg Minggu, 2024-12-15 01:41:19 DescriptionProb5.10-fig3.jpg English: Plot of a hypergeometric function and its polynomial representation for x = [-10, 10]. Date 27 October 2012, 23:49:34... Click to read more »](https://infokontak.com/st/File:Prob5.10-fig3.jpg){kind=link}
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![File:Plot of the Bateman function k n(z) with n=7 in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg Rabu, 2025-03-05 22:48:30 ComplexPlot3D Mathematica input: ComplexPlot3D[E^-z/Gamma[1 + 1/2 7] HypergeometricU[-1/2 7, 0, 2 z], {z, -(1/2) - I, 1/2 + I}, PlotLegends -> Automatic... Click to read more »](https://infokontak.com/st/File:Plot_of_the_Bateman_function_k_n(z)_with_n=7_in_the_complex_plane_from_-2-2i_to_2+2i_with_colors_created_with_Mathematica_function_ComplexPlot3D.svg){kind=link}
