CO OZNACZA SŁOWO HYPERGEOMETRIC
Funkcja hipertometryczna
W matematyce Gaussa lub zwykła funkcja hipertermiczna 2F1 jest specjalną funkcją reprezentowaną przez serię hipertometryczną, która zawiera wiele innych specjalnych funkcji jako przypadków szczególnych lub ograniczających. jest rozwiązaniem liniowego równania różniczkowego drugiego rzędu. Każda druga kolejność liniowa ODE z trzema regularnymi pojedynczymi punktami może zostać przekształcona w to równanie. W systematycznych listach z kilku tysięcy opublikowanych tożsamości z funkcją hipertometryczną zapoznaj się z pracami referencyjnymi Arthur Erdélyi, Wilhelm Magnus i Fritz Oberhettinger i in. , Abramowitz \u0026 Stegun i Daalhuis. Nie ma znanego systemu organizacji wszystkich tożsamości; w istocie nie ma znanego algorytmu, który może generować wszystkie tożsamości; znane są różne algorytmy generujące różne serie tożsamości. Teoria algorytmicznego odkrywania tożsamości pozostaje aktywnym tematem badawczym.
Definicja słowa hypergeometric w słowniku
Definicja hipergeometryczna w słowniku jest lub odnosi się do operacji lub serii, które wykraczają poza zwykłe operacje geometryczne lub serie.
KSIĄŻKI POWIĄZANE ZE SŁOWEM «HYPERGEOMETRIC»
Poznaj użycie słowa
hypergeometric w następujących pozycjach bibliograficznych Książki powiązane ze słowem
hypergeometric oraz krótkie ich fragmenty w celu przedstawienia kontekstu użycia w literaturze.
1
Basic
Hypergeometric Series
Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series.
George Gasper, Mizan Rahman,
2004
2
Hypergeometric Functions and Their Applications
In this book each special function is seen to arise in one or more physical contexts as a solution of a differential equation that can be transformed into a hypergeometric equation.
3
Hypergeometric summation: an algorithmic approach to ...
In this book modern algorithmic techniques for summation, most of which have been introduced within the last decade, are developed and carefully implemented in the computer algebra system Maple.
4
Theory of
Hypergeometric Functions
This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. It shows that hypergeometric integrals generally satisfy holonomic system of linear differential equations.
Kazuhiko Aomoto, Michitake Kita, Toshitake Kohno,
2011
5
Generalized
hypergeometric functions
Consequently, this book represents a significant further development of the theory and demonstrates how the Boyarksy principle may be given a cohomological interpretation.
6
Hypergeometric Functions on Domains of Positivity, Jack ...
This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity.
Donald St. P. Richards,
1992
7
Hypergeometric Functions, My Love: Modular Interpretations ...
The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.
8
Hypergeometric Orthogonal Polynomials and Their q-Analogues
The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties.
Roelof Koekoek, Tom H. Koornwinder, Peter A. Lesky,
2010
9
q-
hypergeometric functions and applications
Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Almost all of the elementary functions of mathematics are either hypergeometric
or ratios of hypergeometric functions. A series Ec„ is hypergeometric if the ratio c„
+i /c„ is a rational function of n . Many of the nonelementary functions that arise in
...
George E. Andrews, Richard Askey, Ranjan Roy,
2000
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «HYPERGEOMETRIC»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
hypergeometric w wiadomościach.
Finding directionality and gene-disease predictions in disease …
... on the level of inclusion and hypergeometric enrichment between genes and metabolic pathways shared by the different human disorders. «7thSpace Interactive, Lip 15»
Multivariate genetic determinants of EEG oscillations in …
Statistical significance associated with enrichment was computed based on hypergeometric distribution: P-values were false discovery rate ... «Nature.com, Cze 15»
1-Calc : Financial and Scientific Calculator with Numerical Solver …
... probability distribution functions such as Normal, Weibull, Geometric, Binomial, Negative Binomial and Hypergeometric distributions. «ZDNet, Maj 15»
Identification of genomic features in the classification of loss- and …
With this information, we performed a hypergeometric test to find the protein domains which had significantly different distributions. «BMC Blogs Network, Maj 15»
A molecular model for neurodevelopmental disorders
We calculated the hypergeometric probability for both reduced dosage models with cell state and we found that overlapping CpG clusters were ... «Nature.com, Maj 15»
Genetic and epigenetic profiling of CLL disease progression reveals …
... on significant probes with ChIP-seq peaks using bedtools intersectBed. Enrichment P-values were calculated using a hypergeometric test. «Nature.com, Kwi 15»
Pass The Dongle, Will You?
Then get yourself a cup of chai, open your laptop, google multiverse — or kabbala, or hypergeometric distribution or whatever other ... «Outlook, Kwi 15»
Comparative transcriptome analysis reveals carbohydrate and lipid …
... and invalid values in gray, whereas the P-value was calculated according to a hypothesis test using cumulative hypergeometric distribution. «BMC Blogs Network, Mar 15»
A Pi Day story 26 years in the making
He was giving a presentation on hypergeometric functions. "I had showed some formulas that I thought might be of general interest," he ... «Philly.com, Mar 15»
A comparative study of disease genes and drug targets in the …
To further evaluate the significance of enrichment for disease gene set in target gene set, we performed the hypergeometric test (PubMed ID: ... «BMC Blogs Network, Lut 15»