多集上的数字编码和算术

2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing Pub Date : 2006-09-26 DOI:10.1109/SYNASC.2006.58

C. Bonchis, Cornel Izbasa, Gabriel Ciobanu

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引用次数: 2

摘要

本文利用多集及其相关的算术运算修正了以前定义的一些非位置数编码，描述了一种通用的编码/解码算法，可以将自然数映射到它们的多集表示，反之亦然。我们给出了后继运算和前导运算在b进制下最紧凑编码的模板

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Number Encodings and Arithmetics over Multisets

In this paper we revise some previously defined non-positional number encodings using multisets and their associated arithmetic operations, describing a general encoding/decoding algorithm that can map natural numbers to their multiset representations, and vice versa. We present the templates for the most compact encodings in base b for successor and predecessor operations

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来源期刊

2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing

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