The dimension of Cartesian product sets 来自 Semantic Scholar 喜欢 0 阅读量: 109 作者: Marstrand,M J. 摘要: Given a plane setE, we denote byExthe set of its points whose abscissae are equal tox. Throughout this paper we use the lettersAandBto denote subsets of thex-axis andy-axis ...
Noun1.Cartesian product- the set of elements common to two or more sets; "the set of red hats is the intersection of the set of hats and the set of red things" intersection,product set- a group of things of the same kind that belong together and are so used; "a set of books"; ...
Reuter, Klaus (1989) On the dimension of the cartesian product of relations and orders. Order 6: pp. 277-293K. Reuter, On the dimension of the Cartesian product of relations and orders, Order 6 (1989), no. 3, 277-293.K. Reuter, On the dimension of the Cartesian product of relation...
The metric theory of limsup sets is the main topic in metric Diophantine approximation. A very simple observation by Erd?s shows the dimension of the Cartesian product of two sets of Liouville numbers is 1. To disclose the mystery hidden there, we consider and present a general principle for...
If P and Q are partial orders, then the dimension of the cartesian product P× Q does not exceed the sum of the dimensions of P and Q. There are several known sufficient conditions for this bound to be attained. On the other hand, the only known lower bound for the dimension of a ...
Sets which have the same cardinal number; sets whose elements can be put into one-to-one correspondence with each other. Also known as equinumerable sets; equipotent sets. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. ...
If the dimension of the Hilbert space is fixed, then any GQT over k (and with respect to γ) is part of the GQT over ℓ (with involution 𝛾 γ¯). Section 3.4.1 clarifies on the reason why an extension theory is desired. 3.4.1. Comparison Theory Any two fields k and 𝑘′...
In this example, consider that the values stored in the Date column are the first day of each month. In this case, the granularity is at month-product level.Generally, dimension tables contain a relatively small number of rows. Fact tables, on the other hand, can contain a large number ...
Cáceres J, Hernando MC, Mora M, Pelayo IM, Puertas ML, Seara C, Wood DR (2007) On the metric dimension of cartesian products of graphs. SIAM J Discret Math 21(2):423–441 Article MathSciNet MATH Google Scholar Chartrand G, Zhang P (2003) The theory and applications of resolvability...
We first considered the following cartesian product of dimension 2γ + 2: $$K={\boldsymbol{n}}\times {{\boldsymbol{t}}}^{\gamma }\times {{\boldsymbol{M}}}^{\gamma +1}\times \{1\}.$$ and then uniformly drew L tuples from K without replacement. We then sorted the ...