標題: Titlebook: Differential and Difference Dimension Polynomials; M. V. Kondratieva,A. B. Levin,E. V. Pankratiev Book 1999 Springer Science+Business Medi [打印本頁] 作者: Coagulant 時間: 2025-3-21 18:47
書目名稱Differential and Difference Dimension Polynomials影響因子(影響力)
書目名稱Differential and Difference Dimension Polynomials影響因子(影響力)學(xué)科排名
書目名稱Differential and Difference Dimension Polynomials網(wǎng)絡(luò)公開度
書目名稱Differential and Difference Dimension Polynomials網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Differential and Difference Dimension Polynomials被引頻次
書目名稱Differential and Difference Dimension Polynomials被引頻次學(xué)科排名
書目名稱Differential and Difference Dimension Polynomials年度引用
書目名稱Differential and Difference Dimension Polynomials年度引用學(xué)科排名
書目名稱Differential and Difference Dimension Polynomials讀者反饋
書目名稱Differential and Difference Dimension Polynomials讀者反饋學(xué)科排名
作者: 誤傳 時間: 2025-3-21 20:27
Numerical Polynomials,s (such polynomials are called numerical). It is shown that for any given subset . of ?. one may associate with . some finite family of numerical polynomials (these polynomials are called dimension polynomials of .; to a certain degree, they characterize the set . itself). The main attention is attr作者: Pituitary-Gland 時間: 2025-3-22 02:16
Differential Dimension Polynomials,re, by T we denote the set of monomials of . (see Example 4.1.6 and Definition 4.1.4), and .(.) denotes the set of monomials whose order does not exceed .. Consider on D an ascending filtration (..)., where .. = {. ∈ . | ord . ≤ .} = . ? .(.) for . ≥ 0, and .. = 0 for . < 0 (see Exercise 4.3.1). Bel作者: 男生如果明白 時間: 2025-3-22 07:04
Dimension Polynomials in Difference and Difference-Differential Algebra,Section 3.3, by the order of an element .we shall mean the number ord .and set ..= {. ∈ . | ord . = .}, .(.) = {. ∈ . | ord . ≤ .} for any . ∈ ?. Furthermore, let . be a ring of difference (.-) operators over the ring .. As in Chapter 3, if . (..τ ∈ . for any . ∈ . and a. = 0 for almost all . ∈ .), 作者: 大量 時間: 2025-3-22 09:23
Some Application of Dimension Polynomials in Difference-Differential Algebra,hat . ? .′,and let . be the set obtained by the adjoining of a new symbol ∞ to the set of integers ?. We shall consider . as a linearly ordered set whose order < is the extension of the natural order of ? such that . < ∞ for all . < ?.作者: ARC 時間: 2025-3-22 13:45
Dimension Polynomials of Filtered ,-Modules and Finitely Generated ,-Fields Extensions,the theorems on difference dimension polynomials and their invariants are derived. The main results of the chapter are Theorem 8.2.1 (which establishes the existence of dimension polynomial of an excellently filtered .-.-module over an artinian .-ring), Theorem 8.2.5 (this theorem describes the inva作者: ARC 時間: 2025-3-22 20:14 作者: hardheaded 時間: 2025-3-23 01:15
em of linear ordinary differential equations. Later on, Jacobi‘s results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi‘s bound) remains open. There are some generalization of the problem of Jacobi‘s bound to the par978-90-481-5141-7978-94-017-1257-6作者: HOWL 時間: 2025-3-23 02:12 作者: 四指套 時間: 2025-3-23 08:59
Stillness in Nature: Eeo Stubblefield’s s (such polynomials are called numerical). It is shown that for any given subset . of ?. one may associate with . some finite family of numerical polynomials (these polynomials are called dimension polynomials of .; to a certain degree, they characterize the set . itself). The main attention is attr作者: corpuscle 時間: 2025-3-23 10:22
https://doi.org/10.1007/978-1-349-20700-8re, by T we denote the set of monomials of . (see Example 4.1.6 and Definition 4.1.4), and .(.) denotes the set of monomials whose order does not exceed .. Consider on D an ascending filtration (..)., where .. = {. ∈ . | ord . ≤ .} = . ? .(.) for . ≥ 0, and .. = 0 for . < 0 (see Exercise 4.3.1). Bel作者: AMBI 時間: 2025-3-23 15:36
https://doi.org/10.1007/978-1-349-00224-5Section 3.3, by the order of an element .we shall mean the number ord .and set ..= {. ∈ . | ord . = .}, .(.) = {. ∈ . | ord . ≤ .} for any . ∈ ?. Furthermore, let . be a ring of difference (.-) operators over the ring .. As in Chapter 3, if . (..τ ∈ . for any . ∈ . and a. = 0 for almost all . ∈ .), 作者: FOVEA 時間: 2025-3-23 20:39
https://doi.org/10.1007/978-1-349-00224-5hat . ? .′,and let . be the set obtained by the adjoining of a new symbol ∞ to the set of integers ?. We shall consider . as a linearly ordered set whose order < is the extension of the natural order of ? such that . < ∞ for all . < ?.作者: machination 時間: 2025-3-24 00:39
https://doi.org/10.1007/978-1-349-00224-5the theorems on difference dimension polynomials and their invariants are derived. The main results of the chapter are Theorem 8.2.1 (which establishes the existence of dimension polynomial of an excellently filtered .-.-module over an artinian .-ring), Theorem 8.2.5 (this theorem describes the inva作者: 思考而得 時間: 2025-3-24 03:25 作者: 歸功于 時間: 2025-3-24 08:42
https://doi.org/10.1057/9781137011695Let . = {..,..., ..} be a finite system of elements. By . = .(.) we denote the free commutative semigroup with unity (written multiplicatively), generated by the elements of .. Elements of . will be called .. Let . ∈ ., .. By the . of . we shall call the sum e. +...+e. that will be denoted by ord ..作者: 角斗士 時間: 2025-3-24 11:27
https://doi.org/10.1007/978-1-349-00224-5The first partial implementation by the authors of the described algorithms was made in 1980 [MP80]. The programs were written in the algorithmic language REFAL, run on the computer BESM-6 and were destinated to compute characteristic sets of differential ideals in the ring of differential polynomials.作者: amyloid 時間: 2025-3-24 16:46
Basic Notions of Differential and Difference Algebra,Let . be a ring and let ? be a set of operators acting on .. In this case . is said to be a ?-. and ? is called its .. In the following sections the operators in ? will be either derivation operators or endomorphisms but now we do not impose any restrictions on ?.作者: Popcorn 時間: 2025-3-24 19:24
,Gr?bner Bases,Let . = {..,..., ..} be a finite system of elements. By . = .(.) we denote the free commutative semigroup with unity (written multiplicatively), generated by the elements of .. Elements of . will be called .. Let . ∈ ., .. By the . of . we shall call the sum e. +...+e. that will be denoted by ord ..作者: Costume 時間: 2025-3-25 02:24 作者: Blasphemy 時間: 2025-3-25 06:47
Mathematics and Its Applicationshttp://image.papertrans.cn/d/image/278811.jpg作者: Metamorphosis 時間: 2025-3-25 09:47
Ethics, Evolution, Ecology, and Performancem some parts of algebra for understanding the subsequent chapters. The reader may read the chapter as a whole, or use its appropriate parts for references while reading the latter text (as for those readers who have mastered the whole material covered by the book [Lang71]).作者: 制定 時間: 2025-3-25 14:24
https://doi.org/10.1007/978-1-349-00224-5hat . ? .′,and let . be the set obtained by the adjoining of a new symbol ∞ to the set of integers ?. We shall consider . as a linearly ordered set whose order < is the extension of the natural order of ? such that . < ∞ for all . < ?.作者: Rustproof 時間: 2025-3-25 17:18 作者: Parameter 時間: 2025-3-25 21:16
978-90-481-5141-7Springer Science+Business Media Dordrecht 1999作者: 重力 時間: 2025-3-26 03:40 作者: maudtin 時間: 2025-3-26 06:17 作者: ELUDE 時間: 2025-3-26 08:42
Numerical Polynomials,acted to the univariate dimension polynomials associated with subsets of ?., because the problem of determination of such polynomials is a part of the problem of computing Kolchin’s differential dimension polynomial of finitely generated differential field extensions.作者: insincerity 時間: 2025-3-26 13:30
Differential Dimension Polynomials,ow, if the contrary is not said explicitly, by a filtration on . we shall mean this filtration. By a . we shall mean a .-module . with exhaustive and separable filtration (..).. It means that . = ?... and there exists .. ∈ ? such that .. = 0 for all . < .., .. ? .. and .... ? .. for all ., . ∈ ?.作者: 洞穴 時間: 2025-3-26 19:28 作者: Chauvinistic 時間: 2025-3-27 00:30 作者: 雄辯 時間: 2025-3-27 02:48 作者: NIL 時間: 2025-3-27 08:51 作者: Collision 時間: 2025-3-27 10:19
Stillness in Nature: Eeo Stubblefield’s acted to the univariate dimension polynomials associated with subsets of ?., because the problem of determination of such polynomials is a part of the problem of computing Kolchin’s differential dimension polynomial of finitely generated differential field extensions.作者: 誤傳 時間: 2025-3-27 14:43
https://doi.org/10.1007/978-1-349-20700-8ow, if the contrary is not said explicitly, by a filtration on . we shall mean this filtration. By a . we shall mean a .-module . with exhaustive and separable filtration (..).. It means that . = ?... and there exists .. ∈ ? such that .. = 0 for all . < .., .. ? .. and .... ? .. for all ., . ∈ ?.作者: 認為 時間: 2025-3-27 17:49 作者: 不幸的人 時間: 2025-3-27 22:10
https://doi.org/10.1007/978-1-349-00224-5hermore, let . be a ring of difference (.-) operators over the ring .. As in Chapter 3, if . (..τ ∈ . for any . ∈ . and a. = 0 for almost all . ∈ .), then the number ord . = max{ord . | a. ≠ 0} will be called the order of the element ..作者: CRATE 時間: 2025-3-28 03:16 作者: Introduction 時間: 2025-3-28 10:06 作者: intercede 時間: 2025-3-28 12:56
Springer Collected Works in Mathematicshttp://image.papertrans.cn/s/image/864189.jpg作者: 河流 時間: 2025-3-28 17:43
