J. Shallit, "Number-theoretic functions which are equivalent to number of divisors," Informa- tion Processing Letters 20, 151-153, North-Holland, (1985).J. Shallit and A. Shamir, Number-theoretic functions which are equivalent to number of divisors, Information Processing Letters 20 (1985),...
The second pertains to the notion of relative recursiveness of number-theoretic functions. The third application concerns an explanation of counterexamples to ... H Barendregt,JW Klop - 《Information & Computation》 被引量: 47发表: 2009年 A Distributional Approach to Asymptotics Theory and Application...
As in Chapter I (see the beginning of § 1 of Chapter I), we use A to denote a subsequence of the sequence ℒ0, of non-negative integers. Although our principal investigations concern infinite sequences A, it will sometimes be appropriate to consider a
A multi-sequential number-theoretic optimization method based on clustering was developed and applied to the optimization of functions with many local extr... - 《中南大学学报(英文版)》 被引量: 0发表: 2005年 Some Applications of Number-Theoretic Methods in Statistics Number-theoretic methods (NTM...
A new clustering validity evaluation function is designed based on the risk calculated by loss functions and possibilities. Then a hierarchical clustering algorithm, ACA-DTRS algorithm, is proposed, which is proved to stop automatically at the perfect number of clusters without manual interference. ...
Quotient rings of algebras of functions and operators Various quotient rings of rings B of Banach algebra A -valued continuous functions on a completely regular Hausdorff Space X are constructed in terms of ... SK Jain,AI Singh - 《Mathematische Zeitschrift》 被引量: 5发表: 2000年 Kinematics,...
1. We obtained the number-theoretic net algorithm on polynomial approximating contiguous functions in a closed interval. 给出了在区间上多项式逼近连续函数的一种数论网格算法,另外还简单介绍了解决多项式逼近中扩展的经济化问题的一种处理方法。2. A new algorithm was used for solving a kind of nonlinear...
Now that we are fitted out with a sturdy tool box of arithmetic functions that we developed in the previous chapters, we turn our attention to the implementation of several fundamental algorithms from the realm of number theory. The number-theoretic functions discussed in the following chapters ...
We define regular method for summation of infinite series which allows us to discover general and unified approach to summation of divergent series, and determine the limits of unbounded and oscillating functions. Several properties for divergent series and explicit formulas for sums of some infinite ...
Number Theory 90 :265-280 (2001).Peter.M: The limit distribution of a number theoretic functions arising from a problem in statistical mechanics. J. Number Th. 90, 265-280 (2001).The limit distribution of a number-theoretic function arising from a problem in statistical mechanics - Peter -...