About: Ordered Semiautomatic Rings with Applications to Geometry

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Ordered Semiautomatic Rings with Applications to Geometry Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Ordered Semiautomatic Rings with Applications to Geometry
Creator	Qi, Ji Jain, Sanjay Gao, Ziyuan Schlicht, Philipp Stephan, Frank Tarr, Jacob
Source	PMC
abstract	The present work looks at semiautomatic rings with automatic addition and comparisons which are dense subrings of the real numbers and asks how these can be used to represent geometric objects such that certain operations and transformations are automatic. The underlying ring has always to be a countable dense subring of the real numbers and additions and comparisons and multiplications with constants need to be automatic. It is shown that the ring can be selected such that equilateral triangles can be represented and rotations by [Formula: see text] are possible, while the standard representation of the b-adic rationals does not allow this.
has issue date	2020-01-07(xsd:dateTime)
bibo:doi	10.1007/978-3-030-40608-0_9
has license	no-cc
sha1sum (hex)	02e0c52c9be1b515d9a39d908d582daa383884a9
schema:url	https://doi.org/10.1007/978-3-030-40608-0_9
resource representing a document's title	Ordered Semiautomatic Rings with Applications to Geometry
has PubMed Central identifier	PMC7206621
schema:publication	Language and Automata Theory and Applications
resource representing a document's body	covid:02e0c52c9be1b515d9a39d908d582daa383884a9#body_text
is schema:about of	named entity 'countable' named entity 'equilateral' named entity 'rings' named entity 'constants' named entity 'b-adic rationals' named entity 'operations' named entity 'automatic' named entity 'Applications' named entity 'subring' named entity 'real numbers' named entity 'multiplication' named entity 'iff' named entity 'algorithm' named entity 'iff' named entity 'ordered ring' named entity 'square roots' named entity 'natural number' named entity 'isomorphic' named entity 'multiplication' named entity 'polynomial' named entity 'loss of generality' named entity 'algorithm' named entity 'uncountably' named entity 'integer' named entity 'primes' named entity 'integer' named entity 'prime powers' named entity 'integral domain' named entity 'multiplication' named entity 'semicolon' named entity 'semigroup' named entity 'Jain' named entity 'strings' named entity 'convolution' named entity 'Jain' named entity 'polynomial' named entity 'primes' named entity 'algorithm' named entity 'algorithm' named entity 'ary' named entity 'real number' named entity 'algorithm' named entity 'loss of generality' named entity 'automaton' named entity 'field of reals' named entity 'closed subsets' named entity 'finite automaton' named entity 'ordered ring' named entity 'multiplication' named entity 'multiplication' named entity 'ω-automata' named entity 'multiplication' named entity 'concatenated' named entity 'multiplication' named entity 'absolute values' named entity 'first-order' named entity 'decimal' named entity 'iff' named entity 'real numbers' named entity 'prime power' named entity 'p-adic representation' named entity 'inputs and outputs' named entity 'equilateral triangles' named entity 'inputs and outputs' named entity 'iff' named entity 'iff' named entity 'finite automaton' named entity 'polynomial' named entity 'real number' named entity '1/2' named entity 'real numbers' named entity 'cube root' named entity 'componentwise' named entity 'algorithm' named entity 'multiplication' named entity 'subgroup' named entity 'convolution' named entity 'strings'

Faceted Search & Find service v1.13.91 as of Mar 24 2020

Alternative Linked Data Documents: Sponger | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3229 as of Jul 10 2020, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (94 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software