Traduction et analyse des mots par intelligence artificielle
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function of finite genus - traduction vers russe
![[[Planar graph]]: genus 0](https://commons.wikimedia.org/wiki/Special:FilePath/Sphere filled blue.svg?width=200 "[[Planar graph]]: genus 0")
![[[Toroidal graph]]: genus 1](https://commons.wikimedia.org/wiki/Special:FilePath/Torus illustration.png?width=200 "[[Toroidal graph]]: genus 1")
математика
топологический род
![Number of reptile genera with a given number of species. Most genera have only one or a few species but a few may have hundreds. Based on data from the [[Reptile Database]] (as of May 2015).](https://commons.wikimedia.org/wiki/Special:FilePath/Number of reptile genera with a given number of species.png?width=200 "Number of reptile genera with a given number of species. Most genera have only one or a few species but a few may have hundreds. Based on data from the [[Reptile Database]] (as of May 2015).")
['dʒenərə]
общая лексика
от genus
Définition
.
Wikipédia
In mathematics, and more specifically in analysis, a holonomic function is a smooth function of several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable dimension condition in terms of D-modules theory. More precisely, a holonomic function is an element of a holonomic module of smooth functions. Holonomic functions can also be described as differentiably finite functions, also known as D-finite functions. When a power series in the variables is the Taylor expansion of a holonomic function, the sequence of its coefficients, in one or several indices, is also called holonomic. Holonomic sequences are also called P-recursive sequences: they are defined recursively by multivariate recurrences satisfied by the whole sequence and by suitable specializations of it. The situation simplifies in the univariate case: any univariate sequence that satisfies a linear homogeneous recurrence relation with polynomial coefficients, or equivalently a linear homogeneous difference equation with polynomial coefficients, is holonomic.
