作者: headlong 時(shí)間: 2025-3-21 22:55
0937-5511 rities of distribution. Here are some typical questions: What is the "most uniform" way of dis- tributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? For a precise formulation of these questions, we must quantify the irregularity of a give作者: 外觀 時(shí)間: 2025-3-22 02:29 作者: 音樂戲劇 時(shí)間: 2025-3-22 05:58 作者: labile 時(shí)間: 2025-3-22 12:05
Introduction,erse connections and applications of discrepancy theory. Most of the space in that section is devoted to applications in numerical integration and similar problems, which by now constitute an extensive branch of applied mathematics, with conventions and methods quite different from “pure” discrepancy theory.作者: ticlopidine 時(shí)間: 2025-3-22 15:41 作者: ticlopidine 時(shí)間: 2025-3-22 20:18
https://doi.org/10.1007/978-3-476-05623-8ic and more akin to classical harmonic analysis. For many results obtained by this method, such as the tight lower bound for the discrepancy for discs of a single fixed radius, no other proofs are known.作者: 統(tǒng)治人類 時(shí)間: 2025-3-22 23:17 作者: CAB 時(shí)間: 2025-3-23 02:25
https://doi.org/10.1007/978-3-658-18971-6 discrepancy can be achieved, of the order log n. This chapter is devoted to various constructions of such sets and to their higher-dimensional generalizations. In dimension ., for . arbitrary but fixed, the best known sets have discrepancy for axis-parallel boxes of the order log...作者: somnambulism 時(shí)間: 2025-3-23 08:55 作者: 配偶 時(shí)間: 2025-3-23 09:47
Book 1999theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in- clude financial calculations, computer graphics, and computational physic作者: macabre 時(shí)間: 2025-3-23 17:50
0937-5511 Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in- clude financial calculations, computer graphics, and computational physic978-3-642-03941-6978-3-642-03942-3Series ISSN 0937-5511 Series E-ISSN 2197-6783 作者: 得體 時(shí)間: 2025-3-23 19:48 作者: 和平 時(shí)間: 2025-3-24 00:30 作者: 高貴領(lǐng)導(dǎo) 時(shí)間: 2025-3-24 04:07
Introduction,to the discrepancy of infinite sequences in the unit interval, and we briefly comment on the historical roots of discrepancy in the theory of uniform distribution (Section 1.1). In Section 1.2, we introduce discrepancy in a general geometric setting, as well as some variations of the basic definitio作者: 不滿分子 時(shí)間: 2025-3-24 09:50
Low-Discrepancy Sets for Axis-Parallel Boxes,id, placed in the unit square in an appropriate scale, as in Fig. 2.1(a). It is easy to see that this gives discrepancy of the order .. Another attempt might be n independent random points in the unit square as in Fig. 2.1(b), but these typically have discrepancy about . as well. (In fact, with high作者: escalate 時(shí)間: 2025-3-24 14:21 作者: cruise 時(shí)間: 2025-3-24 16:54 作者: ventilate 時(shí)間: 2025-3-24 23:04 作者: Arb853 時(shí)間: 2025-3-25 01:16
More Lower Bounds and the Fourier Transform,ther, very powerful method developed by Beck, based on the Fourier transform. Although one can argue that, deep down, this method is actually related to eigenvalues and proofs using orthogonal or near-orthogonal functions, proofs via the Fourier transform certainly look different, being less geometr作者: 廢墟 時(shí)間: 2025-3-25 04:21
978-3-642-03941-6Springer-Verlag Berlin Heidelberg 1999作者: 提名的名單 時(shí)間: 2025-3-25 08:51 作者: 柔美流暢 時(shí)間: 2025-3-25 14:44 作者: Perineum 時(shí)間: 2025-3-25 16:55
https://doi.org/10.1007/978-981-10-7500-1In this chapter, we are going to investigate the combinatorial discrepancy, an exciting and significant subject in its own right. From Section 1.3, we recall the basic definition: If . is a finite set and . ? 2. is a family of sets on .,a . is any mapping ., and we have disc ., where .作者: anniversary 時(shí)間: 2025-3-25 21:10 作者: ZEST 時(shí)間: 2025-3-26 02:41 作者: WAX 時(shí)間: 2025-3-26 06:35
https://doi.org/10.1007/978-3-658-18971-6id, placed in the unit square in an appropriate scale, as in Fig. 2.1(a). It is easy to see that this gives discrepancy of the order .. Another attempt might be n independent random points in the unit square as in Fig. 2.1(b), but these typically have discrepancy about . as well. (In fact, with high作者: ASSET 時(shí)間: 2025-3-26 09:41 作者: Goblet-Cells 時(shí)間: 2025-3-26 14:42 作者: 重疊 時(shí)間: 2025-3-26 19:01
https://doi.org/10.1007/978-3-476-05622-1seen some lower bounds in Chapter 4 but not in a geometric setting). So far we have not answered the basic question, Problem 1.1, namely whether the discrepancy for axis-parallel rectangles must grow to infinity as n . → ∞. An answer is given in Section 6.1, where we prove that .(.,..) is at least o作者: 藕床生厭倦 時(shí)間: 2025-3-27 01:01 作者: 安撫 時(shí)間: 2025-3-27 03:29 作者: 很像弓] 時(shí)間: 2025-3-27 06:39
https://doi.org/10.1007/978-3-476-05620-7ension. These concepts have recently become quite important in several branches of pure and applied mathematics and of theoretical computer science, such as statistics, computational learning theory, combinatorial geometry, and computational geometry.作者: 石墨 時(shí)間: 2025-3-27 11:34 作者: Locale 時(shí)間: 2025-3-27 16:26 作者: Innocence 時(shí)間: 2025-3-27 19:21 作者: 不足的東西 時(shí)間: 2025-3-28 01:12 作者: mechanism 時(shí)間: 2025-3-28 04:03
Methods and Datasets for the Evaluation of Semantic Measures,roduced. The various topics discussed in this chapter are suited for both research and practical purposes, e.g., they are adapted to designers willing to evaluate new proposals, as well as users seeking existing solutions adapted to their needs.作者: dominant 時(shí)間: 2025-3-28 08:15
