Results 181 to 190 of about 851,255 (234)

Arithmetical Rings

Journal of Mathematical Sciences, 2021
This long paper is a survey, with some new results, on arithmetical rings, modules, and Bezout rings (not necessarily commutative). The plan of this article is very clear. There is a table of contents which is very useful for the reader. This paper contains 5 chapters.
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Arithmetic Coding

IBM Journal of Research and Development, 1979
The earlier introduced arithmetic coding idea has been generalized to a very broad and flexible coding technique which includes virtually all known variable rate noiseless coding techniques as special cases. An outstanding feature of this technique is that alphabet extensions are not required. A complete decodability analysis is given. The relationship
Rissanen, J., Langdon, G. G. jun.
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Arithmetical Measure

Mathematical Logic Quarterly, 1998
AbstractWe develop arithmetical measure theory along the lines of Lutz [10]. This yields the same notion of measure 0 set as considered before by Martin‐Löf, Schnorr, and others. We prove that the class of sets constructible by r.e.‐constructors, a direct analogue of the classes Lutz devised his resource bounded measures for in [10], is not equal to RE,
Terwijn, S., Torenvliet, L.
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Arithmetic in Peano Arithmetic

2020
In this chapter, we take a closer look at Peano Arithmetic (PA) which we have defined in Chapter 1. In particular, we prove within PA some basic arithmetical results, starting with the commutativity and associativity of addition and multiplication, culminating in some results about coprimality.
Lorenz Halbeisen, Regula Krapf
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Arithmetic Permutations

Journal of the London Mathematical Society, 1991
The group \(\hbox{Sym }\mathbb{R}\) of permutations of the set \(\mathbb{R}\) of real numbers is considered in the paper. Let \(P_ 0\) be its subgroup of power functions \(x\mapsto x^{m/n}\) where \(m\), \(n\) are positive odd integers, \(T\) be the subgroup of translations \(x\mapsto x+a\) where \(a\) is a real algebraic number, and \(M\) be the ...
Adeleke, S. A.   +2 more
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Arithmetic is not arithmetic: Paradigm matters for arithmetic effects

Cognition
Research on arithmetic uses different experimental paradigms. So far, it is unclear whether these different paradigms lead to the same effects or comparable effect sizes. Therefore, this study explores how different experimental paradigms influence mental arithmetic performance, focusing on understanding the potential differences and similarities in ...
Xinru, Yao   +3 more
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