標(biāo)題: Titlebook: Computational Excursions in Analysis and Number Theory; Peter Borwein Book 2002 Springer Science+Business Media New York 2002 Diophantine [打印本頁(yè)] 作者: FLAK 時(shí)間: 2025-3-21 17:26
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作者: dysphagia 時(shí)間: 2025-3-22 00:18
1613-5237 nly none are completely solved; and alllend themselves to extensive computational explorations. The techniques for tackling these problems are various and inclu978-1-4419-3000-2978-0-387-21652-2Series ISSN 1613-5237 Series E-ISSN 2197-4152 作者: 惹人反感 時(shí)間: 2025-3-22 01:49
Computational Excursions in Analysis and Number Theory作者: endocardium 時(shí)間: 2025-3-22 08:35 作者: 殺蟲劑 時(shí)間: 2025-3-22 10:00
Die Stiftungsidee und ihre Umsetzung,y monic polynomial with integer coefficients. A real algebraic integer . is a . if all its conjugate roots have modulus strictly less than 1. A real algebraic integer . is a . if all its conjugate roots have modulus at most 1, and at least one (and hence (see E2) all but one) of the conjugate roots 作者: 反省 時(shí)間: 2025-3-22 14:01
https://doi.org/10.1007/978-3-8349-9310-6efficients— as is the case in F., L., and A.. However, none of the results of this section are about polynomials with integer coefficients speci作者: 反省 時(shí)間: 2025-3-22 19:17
Grundlagen des Stiftungsteuerrechts,rval. This is P1, and it is of a slightly different flavour than most of the other problems in this book, in that there is no restriction on the size of the coefficients. We now state P1 with greater precision.作者: 編輯才信任 時(shí)間: 2025-3-22 21:26
https://doi.org/10.1007/978-3-8349-9310-6ct lists (repeats are allowed) of integers [..,…,..] and [....] such that.We will call this the Prouhet-Tarry-Escott Problem. We call . the size of the solution and . the degree. We abbreviate the above system by writing.作者: 直覺(jué)好 時(shí)間: 2025-3-23 05:24 作者: SSRIS 時(shí)間: 2025-3-23 09:19 作者: PRO 時(shí)間: 2025-3-23 13:08 作者: 名字 時(shí)間: 2025-3-23 17:03
,Die F?rderstiftung als Organisation,s F and . is a Pisot number, the ..is, quite surprisingly, discrete. Indeed, from El of Chapter 3, we have that for . a Pisot number and . ∈ Z of height . with . not a root of p,.where the positiv作者: 某人 時(shí)間: 2025-3-23 18:26
https://doi.org/10.1007/978-0-387-21652-2Diophantine approximation; Maxima; algorithms; calculus; combinatorics; computational number theory; extre作者: 飲料 時(shí)間: 2025-3-24 00:06
978-1-4419-3000-2Springer Science+Business Media New York 2002作者: Contort 時(shí)間: 2025-3-24 05:52
Location of Zeros,efficients— as is the case in F., L., and A.. However, none of the results of this section are about polynomials with integer coefficients specifically.作者: Relinquish 時(shí)間: 2025-3-24 07:17 作者: 變異 時(shí)間: 2025-3-24 12:06 作者: 相一致 時(shí)間: 2025-3-24 17:46 作者: Halfhearted 時(shí)間: 2025-3-24 19:08
CMS Books in Mathematicshttp://image.papertrans.cn/c/image/232281.jpg作者: 向前變橢圓 時(shí)間: 2025-3-24 23:19
https://doi.org/10.1007/978-3-8349-9310-6This book focuses on a variety of old problems in number theory and analysis. The problems concern polynomials with integer coefficients and typically ask something about the size of the polynomial with an appropriate measure of size and often with some restriction on the height and the degree.作者: 思想上升 時(shí)間: 2025-3-25 05:31 作者: 含糊其辭 時(shí)間: 2025-3-25 07:58 作者: iodides 時(shí)間: 2025-3-25 14:55 作者: 暫時(shí)別動(dòng) 時(shí)間: 2025-3-25 17:07 作者: delusion 時(shí)間: 2025-3-25 22:13
Grundlagen des Stiftungsteuerrechts,Detail around 1 of zeros of all degree 15 polynomials with {+1, -1} coefficients.作者: ALOFT 時(shí)間: 2025-3-26 01:28
Grundlagen des Stiftungsteuerrechts,Both Barker polynomials (which probably exist only for a few small degrees) and Golay complementary pairs are combinatorial objects that, as discussed later, have certain optimal properties in signal processing and signal recovery. They also provide, when they exist, extremal examples for various problems we are considering in this book.作者: 共同確定為確 時(shí)間: 2025-3-26 05:07 作者: 松馳 時(shí)間: 2025-3-26 11:31
,Rudin—Shapiro Polynomials,Littlewood’s problem asks how small a polynomial with coefficients from the set {+1, -1} can be on the unit disk.作者: WATER 時(shí)間: 2025-3-26 13:55 作者: 抗原 時(shí)間: 2025-3-26 20:00
Products of Cyclotomic Polynomials,As in Chapter 3, the . Φ. is the minimal polynomial of a primitive .th root of unity. Recall that Φ. is given by..作者: 后天習(xí)得 時(shí)間: 2025-3-26 23:54
Maximal Vanishing,The location of the zeros of Littlewood polynomials and related classes of low-height polynomials is subtle and interesting. The zeros cluster heavily around the unit circle and appear to form a set with fractal boundary.作者: 變態(tài) 時(shí)間: 2025-3-27 03:06 作者: 可耕種 時(shí)間: 2025-3-27 07:27 作者: 無(wú)畏 時(shí)間: 2025-3-27 13:20
Computational Excursions in Analysis and Number Theory978-0-387-21652-2Series ISSN 1613-5237 Series E-ISSN 2197-4152 作者: 天賦 時(shí)間: 2025-3-27 15:01 作者: Cpr951 時(shí)間: 2025-3-27 18:02
Grundlagen des Stiftungsteuerrechts,rval. This is P1, and it is of a slightly different flavour than most of the other problems in this book, in that there is no restriction on the size of the coefficients. We now state P1 with greater precision.作者: anaerobic 時(shí)間: 2025-3-28 00:51
https://doi.org/10.1007/978-3-8349-9310-6ct lists (repeats are allowed) of integers [..,…,..] and [....] such that.We will call this the Prouhet-Tarry-Escott Problem. We call . the size of the solution and . the degree. We abbreviate the above system by writing.作者: 好色 時(shí)間: 2025-3-28 03:39
Stiftungen und soziale Innovationen,e, and when . 〈 2 it asks how large the .. norm can be. In both cases we are interested in how close these norms can be to the L. norm. Recall that the .. norm of a Littlewood polynomial of degree . is . That the behaviour changes at . 2 is expected from ., which gives, for 1 ≤ . 00 and .. + ... 1, that 作者: 多山 時(shí)間: 2025-3-28 06:43 作者: 無(wú)彈性 時(shí)間: 2025-3-28 13:50 作者: 尋找 時(shí)間: 2025-3-28 17:29 作者: 沒(méi)收 時(shí)間: 2025-3-28 19:54 作者: Tinea-Capitis 時(shí)間: 2025-3-28 23:54
,The Erd?s—Szekeres Problem,st the sum of the absolute values of the coefficients of the polynomial . when it is expanded, and an ideal solution of the Prouhet-Tarry-Escott problem arises when .. = 2. (as in Theorem 1(c) of Chapter 11).作者: 天氣 時(shí)間: 2025-3-29 05:25
LLL and PSLQ,y of our applications LLL can be treated as a “black box”—why it works doesn’t matter. One inputs a lattice and receives as output a candidate short vector that can be verified to have the requisite properties for the particular problem under consideration.作者: Nebulizer 時(shí)間: 2025-3-29 08:42 作者: amenity 時(shí)間: 2025-3-29 14:13
Book 2002face of analysis and number theory. Some of these problems are the following: The Integer Chebyshev Problem. Find a nonzero polynomial of degree n with integer eoeffieients that has smallest possible supremum norm on the unit interval. Littlewood‘s Problem. Find a polynomial of degree n with eoeffie作者: dyspareunia 時(shí)間: 2025-3-29 19:05
https://doi.org/10.1007/978-3-8349-9310-6y of our applications LLL can be treated as a “black box”—why it works doesn’t matter. One inputs a lattice and receives as output a candidate short vector that can be verified to have the requisite properties for the particular problem under consideration.作者: negligence 時(shí)間: 2025-3-29 22:11
,Die F?rderstiftung als Organisation,e constant . depends only on . and . This suggests the question of establishing the exact value for . Specifically, we search for the minimum positive value in the spectrum of height . polynomials evaluated at a number ., where . is between 1 and 2.作者: expdient 時(shí)間: 2025-3-30 00:44
Die Stiftungslandschaft in Deutschland,roblem is .. So to date, the “easier” Waring problem is not easier than the Waring problem. However, the best bounds for small . are derived in an elementary manner from solutions to the Prouhet-Tarry-Escott problem. This is discussed later in this chapter.作者: Interferons 時(shí)間: 2025-3-30 04:23
The Easier Waring Problem,roblem is .. So to date, the “easier” Waring problem is not easier than the Waring problem. However, the best bounds for small . are derived in an elementary manner from solutions to the Prouhet-Tarry-Escott problem. This is discussed later in this chapter.作者: 憤世嫉俗者 時(shí)間: 2025-3-30 11:11
LLL and PSLQ,t finds a relatively short vector in an integer lattice. In this chapter we give some examples of how LLL can be used to approach some of the central problems of the book. Appendix B deals, in detail, with the LLL algorithm and the closely related PSLQ algorithm for finding integer relations. In man作者: 不成比例 時(shí)間: 2025-3-30 13:06 作者: LEVY 時(shí)間: 2025-3-30 19:31 作者: 類似思想 時(shí)間: 2025-3-30 21:11
The Integer Chebyshev Problem,rval. This is P1, and it is of a slightly different flavour than most of the other problems in this book, in that there is no restriction on the size of the coefficients. We now state P1 with greater precision.作者: Gudgeon 時(shí)間: 2025-3-31 04:13
,The Prouhet—Tarry—Escott Problem,ct lists (repeats are allowed) of integers [..,…,..] and [....] such that.We will call this the Prouhet-Tarry-Escott Problem. We call . the size of the solution and . the degree. We abbreviate the above system by writing.作者: Accomplish 時(shí)間: 2025-3-31 08:33 作者: otic-capsule 時(shí)間: 2025-3-31 13:12 作者: intrude 時(shí)間: 2025-3-31 16:13
The Littlewood Problem,e, and when . 〈 2 it asks how large the .. norm can be. In both cases we are interested in how close these norms can be to the L. norm. Recall that the .. norm of a Littlewood polynomial of degree . is . That the behaviour changes at . 2 is expected from ., which gives, for 1 ≤ . 00 and .. + ... 1, 作者: 擺動(dòng) 時(shí)間: 2025-3-31 18:14 作者: SCORE 時(shí)間: 2025-3-31 22:01
Book 2018ion with cardiovascular disease but also many other diseases, from diabetesto hypertension, from cancer and thrombosis to neurodegenerative diseases, including dementia.?. .Examining those benefits in detail, this book offers a valuable educational tool for young professionals and caregivers, as wel作者: 大笑 時(shí)間: 2025-4-1 02:27
Textbook 1990d function of its typical representatives. There lies, no longer dependent on its vitalistic antecedents, the rich realm of molecular possibility called organic chemistry. In this century we have learned how to determine the three-dimensional structure of molecules. Now chemistry as whole, and organ作者: FLAGR 時(shí)間: 2025-4-1 07:47
Design of Systems on a Chip: Introduction,re’s law triggers a technology shockwave. To curb the entrepreneural risks the professional industry associations decided to anticipate the technology evolution by setting up roadmaps. The ITRS semiconductor roadmap was complemented by other roadmaps that preview the technology shockwave originating
