منابع مشابه
Wavelet Transforms That Map Integers to Integers
Invertible wavelet transforms that map integers to integers have important applications in lossless coding. In this paper we present two approaches to build integer to integer wavelet transforms. The first approach is to adapt the precoder of Laroia et al., which is used in information transmission; we combine it with expansion factors for the high and low pass band in subband filtering. The se...
متن کاملMULTIPLICATION MODULES THAT ARE FINITELY GENERATED
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)leq 1$, multiplication modules are precisely cyclic or isomorphic to an invertible ideal of $R$. Moreover, we give a charac...
متن کاملOn Sums of Positive Integers That Are Not of the Form ax + by
Boston, 1974. 7. J. L. Doob, Stochastic Processes, John Wiley, New York 1953. 8. A. Dvoretzky and Th. Motzkin, A problem of arrangements, Duke Math. J. 14 (1947) 305–313. 9. W. Feller, An Introduction to Probability Theory and its Applications, 2nd ed., John Wiley, New York 1957. 10. I. P. Goulden and L. G. Serrano, Maintaining the spirit of the reflection principle when the boundary line has a...
متن کاملDistances Sets That Are a Shift of the Integers and Fourier Basis for Planar Convex Sets
The aim of this paper is to prove that if a planar set A has a difference set ∆(A) satisfying ∆(A) ⊂ Z + s for suitable s than A has at most 3 elements. This result is motivated by the conjecture that the disk has not more than 3 orthogonal exponentials. Further, we prove that if A is a set of exponentials mutually orthogonal with respect to any symmetric convex set K in the plane with a smooth...
متن کاملRisk ratios and odds ratios--what are they?
A risk ratio (sometimes called relative risk, both abbreviated to RR) and an odds ratio (OR) are ways of expressing a comparison between two proportions. For example, in this paper, there are two randomised groups in the trial, women in the lateral position and women in the supported sitting position in the passive second stage of labour. The authors wanted to compare the proportions of instrum...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1995
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171295000500