作者: BLANK 時(shí)間: 2025-3-21 21:03
Computer Algebra Systems,the main characteristics of TRIGMAN, CAMAL and REDUCE, systems we tend to consider as grown out special purpose facilities. Finally we mention some modern algebra systems (CAYLEY and CAMAC-79) in relation to recent proposals for a language for computational algebra. We conclude by stipulating the im作者: 低位的人或事 時(shí)間: 2025-3-22 00:31 作者: 思想上升 時(shí)間: 2025-3-22 07:59 作者: 真繁榮 時(shí)間: 2025-3-22 11:00 作者: Occupation 時(shí)間: 2025-3-22 15:09
Computing Supplementahttp://image.papertrans.cn/c/image/233389.jpg作者: Occupation 時(shí)間: 2025-3-22 20:30
Systems Biology of Marine Ecosystemsformally stated and some elementary facts are derived that explain the fundamental role of simplification in Computer algebra. In the subsequent sections two major groups of simplification techniques are presented: special techniques for simplifying terms over numerical domains and completion algori作者: Reservation 時(shí)間: 2025-3-23 00:15 作者: ARK 時(shí)間: 2025-3-23 02:20
https://doi.org/10.1007/978-3-319-62094-7are treated. The main concern of this paper is a description of Gosper’s algorithm, which is applicable for a wide class of summands. Karr’s theory of extension difference fields and some heuristic techniques are touched on briefly.作者: FLAX 時(shí)間: 2025-3-23 09:06 作者: Mawkish 時(shí)間: 2025-3-23 11:34
The Control Analysis of Signal Transductionds, the integers, or algebraic extensions of the rationals, and to multivariate polynomials with integral coefficients. In particular, various squarefree decomposition algorithms and Hensel lifting techniques are analyzed. An attempt is made to establish a complete historic trace for today’s methods作者: 攀登 時(shí)間: 2025-3-23 15:37
https://doi.org/10.1007/978-3-642-38505-6Habicht, we show how certain powers of leading coefficients enter systematically all following remainders. The key tool is the subresultant chain of two polynomials. We study the primitive, the reduced and the improved subresultant p.r.s. algorithm of Brown and Collins as basis for Computing polynom作者: inhibit 時(shí)間: 2025-3-23 18:03
Miguel A. Aon,Valdur Saks,Uwe Schlattnerated extensively. Chinese remaindering is first presented in an abstract setting. Then the specialization to Euclidean domains, in particular Z, K[.] and Z[..,…,..] is treated. The lifting construction is first also presented in an abstract form from which Henss Lemma derives by specialization. Afte作者: 浪費(fèi)時(shí)間 時(shí)間: 2025-3-23 23:59
The Control Analysis of Signal Transductionctions over the field. The computational difficulty associated with such extensions is in verifying that proposed extensions are transcendental. When the extensions being considered are functions, and where a differentiation operator can be defined for them, strueture theorems can be used to determi作者: Abutment 時(shí)間: 2025-3-24 03:06
Miguel A. Aon,Valdur Saks,Uwe Schlattnerlk about arithmetic in Q(.) and GF(..) in Section 1 and some polynomial algorithms with coefficients from these domains in Section 2. Then, we will consider the field . of all algebraic numbers over . and show constructively that K indeed is a field, that multiple extensions can be replaced by singl作者: ANIM 時(shí)間: 2025-3-24 08:26
Miguel A. Aon,Valdur Saks,Uwe Schlattneron the basic algebraic domains. The algorithms for these basic domains are those most frequently used in any Computer algebra system. Therefore the best known algorithms, from a computational point of view, are presented. The basic domains considered here are the rational integers, the rational numb作者: 不合 時(shí)間: 2025-3-24 14:09 作者: Immortal 時(shí)間: 2025-3-24 17:59 作者: ELUDE 時(shí)間: 2025-3-24 19:35 作者: lactic 時(shí)間: 2025-3-25 03:12
Deepa R. Varkey,Martina A. Doblin and elementary transcendental integrands are reviewed. Heuristic techniques for indefinite integration, and techniques for definite integration and ordinary differential equations are touched on only briefly.作者: Palliation 時(shí)間: 2025-3-25 04:52
https://doi.org/10.1007/978-3-319-62094-7are treated. The main concern of this paper is a description of Gosper’s algorithm, which is applicable for a wide class of summands. Karr’s theory of extension difference fields and some heuristic techniques are touched on briefly.作者: Infusion 時(shí)間: 2025-3-25 09:36
Real-Time , Sensing of Neurochemicals,y survey articles are previously published, we did not attempt to be exhaustive. We discuss mainly recent work in biology, chemistry, physics, mathematics and Computer science, thus again confirming that applications have both engineering and scientific aspects, i.e. apart from delivering results they assist in gaining insight as well.作者: Forsake 時(shí)間: 2025-3-25 15:31 作者: dilute 時(shí)間: 2025-3-25 17:22 作者: 警告 時(shí)間: 2025-3-25 23:03 作者: Kernel 時(shí)間: 2025-3-26 01:36 作者: arthroscopy 時(shí)間: 2025-3-26 05:01 作者: Hormones 時(shí)間: 2025-3-26 12:10 作者: artifice 時(shí)間: 2025-3-26 15:48 作者: entice 時(shí)間: 2025-3-26 19:45 作者: Truculent 時(shí)間: 2025-3-27 00:23 作者: Hearten 時(shí)間: 2025-3-27 02:36 作者: 終端 時(shí)間: 2025-3-27 05:50
Integration in Finite Terms, and elementary transcendental integrands are reviewed. Heuristic techniques for indefinite integration, and techniques for definite integration and ordinary differential equations are touched on only briefly.作者: 熄滅 時(shí)間: 2025-3-27 10:52 作者: 神圣將軍 時(shí)間: 2025-3-27 16:54
Computer Algebra Applications,y survey articles are previously published, we did not attempt to be exhaustive. We discuss mainly recent work in biology, chemistry, physics, mathematics and Computer science, thus again confirming that applications have both engineering and scientific aspects, i.e. apart from delivering results they assist in gaining insight as well.作者: septicemia 時(shí)間: 2025-3-27 20:08
Book 1983Latest edition with systematic references to literature. In addition, some new results are presented. Thus the volume should be a valuable source for obtaining a first impression of computer algebra, as well as for preparing a computer algebra course or for complementary reading. The preparation of some papers co作者: Dappled 時(shí)間: 2025-3-28 01:57
Computing by Homomorphic Images,r introducing Zassenhaus’ quadratic lifting construction, again, the case of Z and .[..,…,..]is considered. For both techniques, Chinese remaindering as well as the lifting algorithms, a complete computational example is presented and the most frequent applications are discussed.作者: 散布 時(shí)間: 2025-3-28 03:34
Arithmetic in Basic Algebraic Domains,ers, integers modulo ., Gaussian integers, polynomials, rational functions, power series, finite fields and .adic numbers. Bounds on the maximum, minimum and average Computing time (.., .., .*) for the various algorithms are given.作者: 爵士樂(lè) 時(shí)間: 2025-3-28 08:27
Miguel A. Aon,Valdur Saks,Uwe Schlattneriliary arithmetic on rational intervals (Section 3). Finally, we present some auxiliary algebraic number algorithms used in other chapters of this volume (Section 7). This chapter does not include any special algorithms of algebraic number theory. For an introduction and survey with an extensive bibliography the reader is referred to Zimmer [15].作者: Certainty 時(shí)間: 2025-3-28 14:13
Computing in Algebraic Extensions,iliary arithmetic on rational intervals (Section 3). Finally, we present some auxiliary algebraic number algorithms used in other chapters of this volume (Section 7). This chapter does not include any special algorithms of algebraic number theory. For an introduction and survey with an extensive bibliography the reader is referred to Zimmer [15].作者: MEET 時(shí)間: 2025-3-28 17:06 作者: 急急忙忙 時(shí)間: 2025-3-28 22:25 作者: Digest 時(shí)間: 2025-3-28 23:00 作者: 坦白 時(shí)間: 2025-3-29 05:41
https://doi.org/10.1007/978-3-642-38505-6wo polynomials. We study the primitive, the reduced and the improved subresultant p.r.s. algorithm of Brown and Collins as basis for Computing polynomial greatest common divisors, resultants or Sturm sequences. Habicht’s subresultant theorem allows new and simple proofs of many results and algorithms found in different ways in Computer algebra.作者: 連鎖 時(shí)間: 2025-3-29 07:46
The Control Analysis of Signal Transductionthe extensions being considered are functions, and where a differentiation operator can be defined for them, strueture theorems can be used to determine the character of the extension and to exhibit a relationship between the adjoined element and existing quantities in case the adjoined element is not transcendental.作者: dialect 時(shí)間: 2025-3-29 12:26 作者: irradicable 時(shí)間: 2025-3-29 16:58 作者: 才能 時(shí)間: 2025-3-29 20:09 作者: AUGUR 時(shí)間: 2025-3-30 03:31
Computing in Transcendental Extensions,the extensions being considered are functions, and where a differentiation operator can be defined for them, strueture theorems can be used to determine the character of the extension and to exhibit a relationship between the adjoined element and existing quantities in case the adjoined element is not transcendental.作者: 泰然自若 時(shí)間: 2025-3-30 05:32
Systems Biology of Marine Ecosystemssions, radical expressions and transcendental expressions are treated (Sections 3–7). As examples for completion algorithms the Knuth-Bendix algorithm for rewrite rules and an algorithm for completing bases of polynomial ideals are described (Sections 8–11).作者: 易于 時(shí)間: 2025-3-30 11:15
Algebraic Simplification,sions, radical expressions and transcendental expressions are treated (Sections 3–7). As examples for completion algorithms the Knuth-Bendix algorithm for rewrite rules and an algorithm for completing bases of polynomial ideals are described (Sections 8–11).作者: Meander 時(shí)間: 2025-3-30 14:28
Miguel A. Aon,Valdur Saks,Uwe Schlattnerr introducing Zassenhaus’ quadratic lifting construction, again, the case of Z and .[..,…,..]is considered. For both techniques, Chinese remaindering as well as the lifting algorithms, a complete computational example is presented and the most frequent applications are discussed.作者: 兵團(tuán) 時(shí)間: 2025-3-30 17:04 作者: heartburn 時(shí)間: 2025-3-30 23:19
Algebraic Simplification,formally stated and some elementary facts are derived that explain the fundamental role of simplification in Computer algebra. In the subsequent sections two major groups of simplification techniques are presented: special techniques for simplifying terms over numerical domains and completion algori作者: 放牧 時(shí)間: 2025-3-31 01:28 作者: ureter 時(shí)間: 2025-3-31 05:31 作者: 群島 時(shí)間: 2025-3-31 12:33
Real Zeros of Polynomials,oints, each containing exactly one real zero of . and together containing all real zeros of .. We describe an algorithm due to Kronecker based on the minimum root Separation, Sturm’s algorithm, an algorithm based on Rolle’s theorem due to Collins and Loos and the modified Uspensky algorithm due to C作者: 危機(jī) 時(shí)間: 2025-3-31 15:14
Factorization of Polynomials,ds, the integers, or algebraic extensions of the rationals, and to multivariate polynomials with integral coefficients. In particular, various squarefree decomposition algorithms and Hensel lifting techniques are analyzed. An attempt is made to establish a complete historic trace for today’s methods作者: 奇怪 時(shí)間: 2025-3-31 20:48 作者: 上坡 時(shí)間: 2025-4-1 01:31
