Results 191 to 200 of about 851,255 (234)
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SOLVABLE ARITHMETIC GROUPS AND ARITHMETICITY PROBLEMS
International Journal of Mathematics, 1999We describe solvable arithmetic groups for which natural rigidity properties hold and solve the arithmeticity problem for the automorphism groups of these arithmetic groups and further prove arithmeticity results for their finite extensions. We also solve the arithmeticity problem for polycyclic groups. We prove that there are non-arithmetic polycyclic
Grunewald, Fritz, Platonov, Vladimir
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Finite Precision Rational Arithmetic: An Arithmetic Unit
IEEE Transactions on Computers, 1983The foundations of an arithmetic unit performing the add, subtract, multiply, and divide operations on rational operands are developed. The unit uses the classical Euclidean algorithm as one unified algorithm for all the arithmetic operations, including rounding.
Kornerup, Peter, Matula, David W.
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Additive Arithmetic Functions on Arithmetic Progressions
Proceedings of the London Mathematical Society, 1987For an additive arithmetic function f, and positive integer D, let E(x,D) be \[ \max_{y\leq x}\max_{(r,D)=1}| \sum_{n\leq y,\quad n\equiv r (mod D)}f(n)-(1/\phi (D))\sum_{n\leq y,\quad (n,D)=1}f(n)|. \] Strengthening results from Chapter 7 of his monograph ''Arithmetic functions and integer products'' (1985; Zbl 0559.10032), the author proves that for ...
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Journal of Child Psychology and Psychiatry, 1995
Abstract The development of children's understanding of mathematical relations and of their grasp of the number system is described. It is discussed that children easily recognise one‐way pan‐pan relations but that the number system at first causes them difficulty. Children's relational understanding allows them
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Abstract The development of children's understanding of mathematical relations and of their grasp of the number system is described. It is discussed that children easily recognise one‐way pan‐pan relations but that the number system at first causes them difficulty. Children's relational understanding allows them
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Arithmetic Theory of Arithmetic Surfaces
The Annals of Mathematics, 1989is a proper smooth surface over a finite field F,. The primary purpose of this paper is to develop arithmetic theory of the Brauer group Br(K) of K. Here we have to assume that the ring J(X, (x) of the regular functions on X has no embedding into R. In general all results hold true modulo 2-torsion.
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The Arithmetic Optimization Algorithm
Computer Methods in Applied Mechanics and Engineering, 2021Laith Mohammad Abualigah +2 more
exaly
A novel hybrid arithmetic optimization algorithm for solving constrained optimization problems
Knowledge-Based Systems, 2023Natee Panagant +2 more
exaly
A distributed particle-PHD filter using arithmetic-average fusion of Gaussian mixture parameters
Information Fusion, 2021Tian-cheng Li, Franz Hlawatsch
exaly
2004
AbstractIt has to be shown that the axioms of ZU guarantee the existence of structures with the familiar properties the natural, rational, and real numbers are expected to have. This chapter makes a start on this project by considering natural numbers.
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AbstractIt has to be shown that the axioms of ZU guarantee the existence of structures with the familiar properties the natural, rational, and real numbers are expected to have. This chapter makes a start on this project by considering natural numbers.
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