Coagulant 发表于 2025-3-21 18:47:28

书目名称Differential and Difference Dimension Polynomials影响因子(影响力)<br>        http://figure.impactfactor.cn/if/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials影响因子(影响力)学科排名<br>        http://figure.impactfactor.cn/ifr/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials网络公开度<br>        http://figure.impactfactor.cn/at/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials网络公开度学科排名<br>        http://figure.impactfactor.cn/atr/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials被引频次<br>        http://figure.impactfactor.cn/tc/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials被引频次学科排名<br>        http://figure.impactfactor.cn/tcr/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials年度引用<br>        http://figure.impactfactor.cn/ii/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials年度引用学科排名<br>        http://figure.impactfactor.cn/iir/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials读者反馈<br>        http://figure.impactfactor.cn/5y/?ISSN=BK0278811<br><br>        <br><br>书目名称Differential and Difference Dimension Polynomials读者反馈学科排名<br>        http://figure.impactfactor.cn/5yr/?ISSN=BK0278811<br><br>        <br><br>

误传 发表于 2025-3-21 20:27:13

Numerical Polynomials,s (such polynomials are called numerical). It is shown that for any given subset . of ℤ. 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

Pituitary-Gland 发表于 2025-3-22 02:16:45

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

男生如果明白 发表于 2025-3-22 07:04:23

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 . ∈ .),

大量 发表于 2025-3-22 09:23:00

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 ℤ. We shall consider . as a linearly ordered set whose order < is the extension of the natural order of ℤ such that . < ∞ for all . < ℤ.

ARC 发表于 2025-3-22 13:45:13

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

ARC 发表于 2025-3-22 20:14:07

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hardheaded 发表于 2025-3-23 01:15:35

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

HOWL 发表于 2025-3-23 02:12:08

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四指套 发表于 2025-3-23 08:59:01

Stillness in Nature: Eeo Stubblefield’s s (such polynomials are called numerical). It is shown that for any given subset . of ℤ. 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
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查看完整版本: Titlebook: Differential and Difference Dimension Polynomials; M. V. Kondratieva,A. B. Levin,E. V. Pankratiev Book 1999 Springer Science+Business Medi