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1.
Shigetaka Fukuda 《Geometriae Dedicata》2001,85(1-3):183-187
We prove that every log crepant birational morphism between log terminal surfaces can be decomposed into log flopping type divisorial contraction morphisms and log blowdowns. Repeating these two kinds of contractions, we reach a minimal log minimal surface from any log minimal surface. 相似文献
2.
This work deals with log‐symmetric regression models, which are particularly useful when the response variable is continuous, strictly positive, and following an asymmetric distribution, with the possibility of modeling atypical observations by means of robust estimation. In these regression models, the distribution of the random errors is a member of the log‐symmetric family, which is composed by the log‐contaminated‐normal, log‐hyperbolic, log‐normal, log‐power‐exponential, log‐slash and log‐Student‐t distributions, among others. One way to select the best family member in log‐symmetric regression models is using information criteria. In this paper, we formulate log‐symmetric regression models and conduct a Monte Carlo simulation study to investigate the accuracy of popular information criteria, as Akaike, Bayesian, and Hannan‐Quinn, and their respective corrected versions to choose adequate log‐symmetric regressions models. As a business application, a movie data set assembled by authors is analyzed to compare and obtain the best possible log‐symmetric regression model for box offices. The results provide relevant information for model selection criteria in log‐symmetric regressions and for the movie industry. Economic implications of our study are discussed after the numerical illustrations. 相似文献
3.
V. V. Shokurov 《Proceedings of the Steklov Institute of Mathematics》2009,264(1):178-200
To construct a resulting model in the LMMP, it is sufficient to prove the existence of log flips and their termination for
some sequences. We prove that the LMMP in dimension d − 1 and the termination of terminal log flips in dimension d imply, for any log pair of dimension d, the existence of a resulting model: a strictly log minimal model or a strictly log terminal Mori log fibration, and imply the existence of log flips in
dimension d + 1. As a consequence, we prove the existence of a resulting model of 4-fold log pairs, the existence of log flips in dimension
5, and Geography of log models in dimension 4.
Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Vol. 264, pp. 184–208.
To V.A. Iskovskikh, who has greatly shaped my vision of mathematics 相似文献
4.
Omer Berkman Yossi Matias Prabhakar Ragde 《Journal of Algorithms in Cognition, Informatics and Logic》1998,28(2):197-215
We consider the problem of computing the minimum ofnvalues, and several well-known generalizations [prefix minima, range minima, and all nearest smaller values (ANSV)] for input elements drawn from the integer domain [1···s], wheres ≥ n. In this article we give simple and efficient algorithms for all of the preceding problems. These algorithms all takeO(log log log s) time using an optimal number of processors andO(nsε) space (for constant ε < 1) on the COMMON CRCW PRAM. The best known upper bounds for the range minima and ANSV problems were previouslyO(log log n) (using algorithms for unbounded domains). For the prefix minima and for the minimum problems, the improvement is with regard to the model of computation. We also prove a lower bound of Ω(log log n) for domain sizes = 2Ω(log n log log n). Since, forsat the lower end of this range, log log n = Ω(log log log s), this demonstrates that any algorithm running ino(log log log s) time must restrict the range ofson which it works. 相似文献
5.
Qiang Wu. 《Mathematics of Computation》2003,72(242):901-911
In this paper we give a general theorem on the linear independence measure of logarithms of rational numbers and, in particular, the linear independence measure of and of . We also give a method to search for polynomials of smallest norm on a real interval which may be suitable for computing or improving the linear independence measure of logarithms of rational numbers.
6.
Masayuki Kawakita 《Mathematische Annalen》2013,356(4):1359-1377
We discuss the ideal-adic semi-continuity problem for minimal log discrepancies by Musta??. We study the purely log terminal case, and prove the semi-continuity of minimal log discrepancies when a Kawamata log terminal triple deforms in the ideal-adic topology. 相似文献
7.
Bampis E. Elhaddad M. Manoussakis Y. Santha M. 《Journal of Algorithms in Cognition, Informatics and Logic》1995,19(3)
We propose a parallel algorithm which reduces the problem of computing Hamiltonian cycles in tournaments to the problem of computing Hamiltonian paths. The running time of our algorithm is O(log n) using O(n2/log n) processors on a CRCW PRAM, and O(log n log log n) on an EREW PRAM using O(n2/log n log log n) processors. As a corollary, we obtain a new parallel algorithm for computing Hamiltonian cycles in tournaments. This algorithm can be implemented in time O(log n) using O(n2/log n) processors in the CRCW model and in time O(log2n) with O(n2/log n log log n) processors in the EREW model. 相似文献
8.
J. Lucier 《Acta Mathematica Hungarica》2008,120(1-2):79-102
We show that if A is a subset of {1, …, n} which has no pair of elements whose difference is equal to p ? 1 with p a prime number, then the size of A is O(n(log log n)?c(log log log log log n)) for some absolute c > 0. 相似文献
9.
Let n = (p − 1) · p
k
, where p is a prime number such that 2 is a primitive root modulo p, and 2
p−1 − 1 is not a multiple of p
2. For a standard basis of the field GF(2
n
), a multiplier of complexity O(log log p)n log n log log
p
n and an inverter of complexity O(log p log log p)n log n log log
p
n are constructed. In particular, in the case p = 3 the upper bound
$
5\frac{5}
{8}n\log _3 n\log _2 \log _3 n + O(n\log n)
$
5\frac{5}
{8}n\log _3 n\log _2 \log _3 n + O(n\log n)
相似文献
10.
Shinichi Mochizuki 《Advances in Mathematics》2004,188(1):222-246
In this paper, we show that for a certain fairly general class of log schemes, the structure of the log scheme may be recovered entirely from the purely categorical structure of a certain associated category of log schemes of finite type over the given log scheme. This result is motivated partly by Grothendieck's anabelian philosophy and partly by general philosophical considerations concerning the importance of categories as a foundation for mathematics. 相似文献
11.
Martin Dyer Abraham D. Flaxman Alan M. Frieze Eric Vigoda 《Random Structures and Algorithms》2006,29(4):450-465
We analyze Markov chains for generating a random k‐coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree Θ(log n/log log n), with high probability. We show that, with high probability, an efficient procedure can generate an almost uniformly random k‐coloring when k = Θ(log log n/log log log n), i.e., with many fewer colors than the maximum degree. Previous results hold for a more general class of graphs, but always require more colors than the maximum degree. © 2006 Wiley Periodicals, Inc. Random Struct. Alg., 2006 相似文献
12.
Let f be a transcendental entire function of order less than 1/2. Denote the maximum and minimum modulus of f by M(r, f) = max{|f(z)|: |z| = r} and m(r, f) = min{|f(z)|: |z| = r}. We obtain a minimum modulus condition satisfied by many f of order zero that implies all Fatou components are bounded. A special case of our result is that if
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