標(biāo)題: Titlebook: Effective Polynomial Computation; Richard Zippel Book 1993 Springer Science+Business Media New York 1993 Approximation.Diophantine approxi [打印本頁] 作者: Polk 時(shí)間: 2025-3-21 18:29
書目名稱Effective Polynomial Computation影響因子(影響力)
作者: 招待 時(shí)間: 2025-3-21 22:25 作者: 五行打油詩 時(shí)間: 2025-3-22 03:36
Continued Fractions,f this sequence are called the continued fraction convergents of .. When the . are equal to 1, the elements of the above sequence are quite good approximations to . and, in a certain sense, all of the “best” approximations to . are elements of the sequence.作者: Hemiplegia 時(shí)間: 2025-3-22 06:29
Polynomial Arithmetic,on on which to build more complex structures like rational functions, algebraic functions, power series and rings of transcendental functions. And third, the algorithms for polynomial arithmetic are well understood, efficient and relatively easy to implement.作者: cortex 時(shí)間: 2025-3-22 08:57 作者: 態(tài)學(xué) 時(shí)間: 2025-3-22 14:13 作者: 態(tài)學(xué) 時(shí)間: 2025-3-22 20:38 作者: critique 時(shí)間: 2025-3-23 00:12 作者: 先行 時(shí)間: 2025-3-23 01:30 作者: 免費(fèi) 時(shí)間: 2025-3-23 07:08 作者: Detoxification 時(shí)間: 2025-3-23 10:06 作者: 山間窄路 時(shí)間: 2025-3-23 16:08
0893-3405 g polynomials including factoring polynomials. Thesealgorithms are discussed from both a theoretical and practicalperspective. Those cases where theoretically optimal algorithms areinappropriate are discussed and the practical alternatives areexplained...Effective Polynomial Computation. provides mu作者: 同步信息 時(shí)間: 2025-3-23 21:29 作者: 現(xiàn)存 時(shí)間: 2025-3-24 01:56
https://doi.org/10.1007/978-3-663-13642-2on on which to build more complex structures like rational functions, algebraic functions, power series and rings of transcendental functions. And third, the algorithms for polynomial arithmetic are well understood, efficient and relatively easy to implement.作者: Munificent 時(shí)間: 2025-3-24 02:49 作者: amphibian 時(shí)間: 2025-3-24 09:57 作者: Meager 時(shí)間: 2025-3-24 10:46
Diophantine Equations,arithmetic, quantum mechanics and the discretization introduced by synchronous computers, they arise in a number of practical situations. This chapter discusses several different classes of diophantine equations that frequently arise and techniques for their solution.作者: 物質(zhì) 時(shí)間: 2025-3-24 17:37
Zero Equivalence Testing,when done properly, only requires time polynomial in the size of the answer. This is often called . model of computation since the polynomials are treated as opaque boxes—how the values of the polynomial are computed is available to us.作者: 憂傷 時(shí)間: 2025-3-24 23:00 作者: 環(huán)形 時(shí)間: 2025-3-24 23:23 作者: 防御 時(shí)間: 2025-3-25 04:46
,Euclid’s Algorithm,ations. These computations may be performed on a variety of different mathematical quantities: polynomials, rational integers, power series, differential operators, etc. The most familiar of these algebraic structures are the .: ?={1,2,3,...}. If we include zero and the negative integers we have ?, the ., which are commonly called the ..作者: Console 時(shí)間: 2025-3-25 08:07 作者: myriad 時(shí)間: 2025-3-25 12:45
,Polynomial GCD’s Classical Algorithms,ons with rational functions (quotients of polynomials) require a GCD to reduce the fraction to lowest terms. However, computing polynomial GCD’s is significantly more difficult than the arithmetic calculations discussed in Chapter 7.作者: 裝飾 時(shí)間: 2025-3-25 16:06 作者: freight 時(shí)間: 2025-3-25 20:58 作者: 敲竹杠 時(shí)間: 2025-3-26 03:22 作者: floodgate 時(shí)間: 2025-3-26 05:09 作者: 殘酷的地方 時(shí)間: 2025-3-26 10:18
The Springer International Series in Engineering and Computer Sciencehttp://image.papertrans.cn/e/image/302799.jpg作者: NUDGE 時(shí)間: 2025-3-26 15:14
Effective Polynomial Computation978-1-4615-3188-3Series ISSN 0893-3405 作者: 圣人 時(shí)間: 2025-3-26 17:31
https://doi.org/10.1007/978-3-642-99649-8ations. These computations may be performed on a variety of different mathematical quantities: polynomials, rational integers, power series, differential operators, etc. The most familiar of these algebraic structures are the .: ?={1,2,3,...}. If we include zero and the negative integers we have ?, the ., which are commonly called the ..作者: Trigger-Point 時(shí)間: 2025-3-26 21:00
Zusammenfassende Darstellung der Arbeit,n be expressed as determining integers . and . that minimize .. Continued fraction techniques can be used to efficiently determine integers p and . satisfying . This is a rewritten form of Proposition 5.作者: THE 時(shí)間: 2025-3-27 02:18
https://doi.org/10.1007/978-3-322-84101-8ons with rational functions (quotients of polynomials) require a GCD to reduce the fraction to lowest terms. However, computing polynomial GCD’s is significantly more difficult than the arithmetic calculations discussed in Chapter 7.作者: 放肆的你 時(shí)間: 2025-3-27 07:07 作者: 生意行為 時(shí)間: 2025-3-27 11:19
TVP S.A. Governance (1989–2015)f possible terms in a multivariate polynomial can be exponential in the number of variables, techniques similar to those of Chapter 12 must be used to avoid spending inordinate time computing coefficients that are equal to zero.作者: Graduated 時(shí)間: 2025-3-27 16:36
https://doi.org/10.1007/978-3-642-92194-0es were then used to compute the multivariate coefficients of the Gen of two polynomials. The modular interpolation approach requires no additional information about the coefficients other than degree or term bounds and thus can be used for a wide variety of other problems.作者: Stable-Angina 時(shí)間: 2025-3-27 19:25 作者: 歡樂中國 時(shí)間: 2025-3-28 01:27 作者: 滋養(yǎng) 時(shí)間: 2025-3-28 05:03
https://doi.org/10.1007/978-3-322-92936-5This chapter discusses a variety of algorithms for manipulating . Formal power series are infinite power series where we are not concerned with issues of convergence. Thus, both . and . . are formal power series, even though . does not converge for any non-zero value of ..作者: 蒼白 時(shí)間: 2025-3-28 06:50 作者: penance 時(shí)間: 2025-3-28 13:12
Das Parteiensystem Sachsen-AnhaltsLet . be a polynomial over an integral domain., .. As with rational integers, we say that . is . if there exist polynomials.,.,neither of which is in., such that ..Otherwise,. is said to be . or ..作者: CLASH 時(shí)間: 2025-3-28 17:59 作者: 否決 時(shí)間: 2025-3-28 21:22 作者: 輕而薄 時(shí)間: 2025-3-29 02:10
,Polynomial GCD’s Interpolation Algorithms,We now use the interpolation algorithms of Chapters 13 and 14 to compute the GCD of two polynomials. This is the first of the modern algorithms that we discuss. Although the principles behind the sparse polynomial GCD algorithm are quite simple, the final algorithm is more complex than any discussed thus far.作者: Bernstein-test 時(shí)間: 2025-3-29 06:03 作者: Allergic 時(shí)間: 2025-3-29 10:26
https://doi.org/10.1007/978-1-4615-3188-3Approximation; Diophantine approximation; Interpolation; Mathematica; algebra; algorithms; computer; comput作者: 組裝 時(shí)間: 2025-3-29 14:21 作者: 光亮 時(shí)間: 2025-3-29 16:50
https://doi.org/10.1007/978-3-642-99649-8ations. These computations may be performed on a variety of different mathematical quantities: polynomials, rational integers, power series, differential operators, etc. The most familiar of these algebraic structures are the .: ?={1,2,3,...}. If we include zero and the negative integers we have ?, 作者: Fibrin 時(shí)間: 2025-3-29 22:40 作者: ULCER 時(shí)間: 2025-3-30 01:19 作者: 鞭子 時(shí)間: 2025-3-30 06:52
Zusammenfassende Darstellung der Arbeit,n be expressed as determining integers . and . that minimize .. Continued fraction techniques can be used to efficiently determine integers p and . satisfying . This is a rewritten form of Proposition 5.作者: 概觀 時(shí)間: 2025-3-30 11:53
https://doi.org/10.1007/978-3-476-03552-3iscussed in Section6.1. These objects are rings and not necessarily fields. One of the most important tools in symbolic computation, the Chinese remainder theorem, is discussed in Section6.2. The set of elements of ?/.? that have an inverse form a multiplicative group. The structure of this group is作者: 使厭惡 時(shí)間: 2025-3-30 13:54
https://doi.org/10.1007/978-3-663-13642-2 of problems in pure and applied mathematics can be expressed as problems solely involving polynomials. Second, polynomials provide a natural foundation on which to build more complex structures like rational functions, algebraic functions, power series and rings of transcendental functions. And thi作者: 亞麻制品 時(shí)間: 2025-3-30 17:33
https://doi.org/10.1007/978-3-322-84101-8ons with rational functions (quotients of polynomials) require a GCD to reduce the fraction to lowest terms. However, computing polynomial GCD’s is significantly more difficult than the arithmetic calculations discussed in Chapter 7.作者: notion 時(shí)間: 2025-3-30 23:03 作者: Archipelago 時(shí)間: 2025-3-31 02:11 作者: magnanimity 時(shí)間: 2025-3-31 06:30 作者: 綁架 時(shí)間: 2025-3-31 12:14 作者: Panther 時(shí)間: 2025-3-31 16:05
TVP S.A. Governance (1989–2015)f possible terms in a multivariate polynomial can be exponential in the number of variables, techniques similar to those of Chapter 12 must be used to avoid spending inordinate time computing coefficients that are equal to zero.作者: ambivalence 時(shí)間: 2025-3-31 20:13
https://doi.org/10.1007/978-3-642-92194-0es were then used to compute the multivariate coefficients of the Gen of two polynomials. The modular interpolation approach requires no additional information about the coefficients other than degree or term bounds and thus can be used for a wide variety of other problems.作者: REIGN 時(shí)間: 2025-3-31 23:05
Das Paradigma der Humanistischen Psychologieodification of the Hensel technique that allows us to take advantage of sparsity in the problem. The key idea used is the same as that of sparse interpolation. Based on some preliminary computation, the skeleton of the answer polynomial is developed. From then on, it is only necessary to reconstruct作者: recession 時(shí)間: 2025-4-1 03:11 作者: Jacket 時(shí)間: 2025-4-1 06:08 作者: atopic-rhinitis 時(shí)間: 2025-4-1 10:32
Continued Fractions,on is interpreted as the limiting value of the sequence . if the limit exists. Assuming this sequence converges, denote its limit by a. The elements of this sequence are called the continued fraction convergents of .. When the . are equal to 1, the elements of the above sequence are quite good appro作者: Adherent 時(shí)間: 2025-4-1 15:08
Diophantine Equations,us of Alexandria, an early Greek mathematician who wrote a famous book that posed many such problems. Since one thinks of the real world as being continuous, one might think that diophantine equations are just mathematical curiosities. However, due to the quantization introduced by finite precision 作者: glucagon 時(shí)間: 2025-4-1 18:36
Lattice Techniques,n be expressed as determining integers . and . that minimize .. Continued fraction techniques can be used to efficiently determine integers p and . satisfying . This is a rewritten form of Proposition 5.作者: Bph773 時(shí)間: 2025-4-2 00:56
