ScholarLens Back to search
1990•Unpublished venueRequires access

Segments of Natural Numbers and Finite Sequences

Grzegorz Bancerek, Krzysztof Hryniewiecki

Open publisher page 421 citations

Abstract

Summary. We define the notion of an initial segment of natural numbers and prove a number of their properties. Using this notion we introduce finite sequences, subsequences, the empty sequence, a sequence of a domain, and the operation of concatenation of two sequences. MML Identifier:FINSEQ_1. WWW:http://mizar.org/JFM/Vol1/finseq_1.html

About this research paper

What this paper is about

Summary. We define the notion of an initial segment of natural numbers and prove a number of their properties. Using this notion we introduce finite sequences, subsequences, the empty sequence, a sequence of a domain, and the operation of concatenation of two sequences. MML Identifier:FINSEQ_1. WWW:http://mizar.org/JFM/Vol1/finseq_1.html

Why it matters

OpenAlex reports 421 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Summary. We define the notion of an initial segment of natural numbers and prove a number of their properties. Using this notion we introduce finite sequences, subsequences, the empty sequence, a sequence of a domain, and the operation of concatenation of two sequences. MML Identifier:FINSEQ_1. WWW:http://mizar.org/JFM/Vol1/finseq_1.html

Key concepts: Mathematics, Combinatorics, Sequence (biology), Chemistry, Biochemistry

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Segments of Natural Numbers and Finite Sequences — Research Paper | ScholarLens