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標(biāo)題: Titlebook: Ideals, Varieties, and Algorithms; An Introduction to C David Cox,John Little,Donal O’Shea Textbook 20073rd edition Springer-Verlag New Yor [打印本頁]

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作者: LINES    時間: 2025-3-21 22:29
Undergraduate Texts in Mathematicshttp://image.papertrans.cn/i/image/460768.jpg
作者: 音樂學(xué)者    時間: 2025-3-22 01:53

作者: 取之不竭    時間: 2025-3-22 05:53
Elimination Theory,This chapter will study systematic methods for eliminating variables from systems of polynomial equations. The basic strategy of elimination theory will be given in two main theorems: the Elimination Theorem and the Extension Theorem. We will prove these results using Groebner bases and the classic theory of resultants.
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Invariant Theory of Finite Groups,Invariant theory has had a profound effect on the development of algebraic geometry. For example, the Hilbert Basis Theorem and Hilbert Nullstellensatz, which play a central role in the earlier chapters in this book, were proved by Hilbert in the course of his investigations of invariant theory.
作者: monochromatic    時間: 2025-3-22 15:26

作者: 火光在搖曳    時間: 2025-3-22 20:51
Geometry, Algebra, and Algorithms,her dimensional objects) defined by polynomial equations. To understand affine varieties, we will need some algebra, and in particular, we will need to study . in the polynomial ring .[.1.]. Finally, we will discuss polynomials in one variable to illustrate the role played by .
作者: famine    時間: 2025-3-22 21:48
Polynomial and Rational Functions on a Variety,se objects, and especially the mappings which preserve some property of interest. For instance, in linear algebra after studying vector spaces, you also studied the properties of . between vector spaces (mappings that preserve the vector space operations of sum and scalar product).
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Springer-Verlag New York 2007
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Ideals, Varieties, and Algorithms978-0-387-35651-8Series ISSN 0172-6056 Series E-ISSN 2197-5604
作者: 葡萄糖    時間: 2025-3-23 15:15
https://doi.org/10.1007/978-0-387-35651-8Maple; Mathematica; addition; algebra; commutative property; computer algebra system; proof
作者: 蛛絲    時間: 2025-3-23 20:49

作者: 土產(chǎn)    時間: 2025-3-23 22:15
,The Algebra–Geometry Dictionary,m which identifies exactly which ideals correspond to varieties. This will allow us to construct a “dictionary” between geometry and algebra, whereby any statement about varieties can be translated into a statement about ideals (and conversely). We will pursue this theme in §§3 and 4, where we will
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作者: 不再流行    時間: 2025-3-25 02:44
David Cox,John Little,Donal O’Sheas, namely chains of coupled oscillators and coupled map lattices (CML). After introducing the main definitions and theorems and presenting the most widely used computational algorithm (due to Benettin et al.) in Section 1, I give an account, in Section 2, of the existence of a Lyapunov spectral dens
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作者: 影響    時間: 2025-3-25 10:33

作者: 尊嚴(yán)    時間: 2025-3-25 14:51
V, should be small enough to allow us to say we are observing the flow at a point, but large enough to make a statistical average of the microscopic events meaningful. When we write statements pertaining to the conservation of mass, momentum and energy for this element, the result will be partial di
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作者: 飾帶    時間: 2025-3-25 22:37
David Cox,John Little,Donal O’Shealysis, due to Lepri et al.. The random matrix approximation allows to obtain reasonable estimates of the LCE when chaos is well developed and correlations are weak: some examples of analytical calculation of scaling laws in the perturbation parameter for random Verlet matrices are discussed in Secti
作者: 兒童    時間: 2025-3-26 00:41
David Cox,John Little,Donal O’Sheaof particles in an interval of length |(.)(1 - 2.)|.. The second result is a representation of the position X. of a tagged particle of the system that allows us to write .. = .. + .., where .. is a Poisson process of parameter (1 - .)(. - .) and .. is a random variable whose absolute value is stocha
作者: 要素    時間: 2025-3-26 06:14

作者: 古代    時間: 2025-3-26 10:03
,The Algebra–Geometry Dictionary,any statement about varieties can be translated into a statement about ideals (and conversely). We will pursue this theme in §§3 and 4, where we will define a number of natural algebraic operations on ideals and study their geometric analogues.
作者: Erythropoietin    時間: 2025-3-26 16:23
The Dimension of a Variety,riety and show how to compute it. We will also show that this notion accords well with what we would expect intuitively. In keeping with our general philosophy, we consider the computational side of dimension theory right from the outset.
作者: Progesterone    時間: 2025-3-26 17:42
Textbook 20073rd editionmany solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? ..The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relat
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作者: senile-dementia    時間: 2025-3-27 06:57
A Decision-Support System for Systems Engineering and Management: The , Experiment at ,ems? An interest in this question led the first author to join co-authors R.W. Nelson and W. Truszkowski of the Mission Operations and Data Systems (MODS) Directorate of NASA, in the development of SEMS, a computer-based information and decision-support tool for NASA managers.
作者: Amorous    時間: 2025-3-27 13:26
ms Design from a wide range of perspectives.This book is opeThis open access book will give insights into global issues of work and work systems design from a wide range of perspectives. Topics like the impact of AI in the workplace as well as design for digital sovereignty at the workplace or fores
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作者: FEIGN    時間: 2025-3-27 20:39
Methods for Inducing Mutations,al aspects of muta-genesis in vegetatively propagated species have been discussed in a symposium of the International Atomic Energy Agency (1973a), furthermore by Nakajima (1977), and by Broertjes and van Harten (1978). I shall give only a brief survey, adding some recently published findings.
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作者: 平淡而無味    時間: 2025-3-28 04:49
Hafsah Ikram,Inbasat Fiza,Humaira Ashraf,Sayan Kumar Ray,Farzeen Ashfaq+}-RAM (resp. {.}-RAM) R‘ with strongly poynomially compact memory..Note that Theorem 2 holds for both weak nondeterministic RAMs and strong nondeterministic RAMs, i.e. in case the RAMs have only nondeterministic goto instructions or in case they have an instruction to guess an integer..If moreover
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