Matches in SemOpenAlex for { <https://semopenalex.org/work/W2266373022> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W2266373022 abstract "In recreational mathematics, a normal magic square is an $n times n$ square matrix whose entries are distinctly the integers $1 ldots n^2$, such that each row, column, and major and minor traces sum to one constant $mu$. It has been proven that there are 7,040 fourth order normal magic squares and 2,202,441,792 fifth order normal magic squares, with higher orders unconfirmed. Previous work related to fourth order normal squares has shown that symmetries such as the dihedral group exist and that (under certain conditions) normal magic squares can be categorized into four distinct subsets. With the implementation of an efficient backtracking algorithm along with supervised machine learning techniques for classification, it will be shown that the entire set of fourth order normal magic squares can be generated by expanding the symmetry groups of 95 asymmetric parents. Discussion will suggest that methods employed in this project could similarly apply to higher orders." @default.
- W2266373022 created "2016-06-24" @default.
- W2266373022 creator A5008083514 @default.
- W2266373022 date "2016-02-03" @default.
- W2266373022 modified "2023-09-27" @default.
- W2266373022 title "Applications of AI for Magic Squares" @default.
- W2266373022 cites W1533046786 @default.
- W2266373022 cites W2325551589 @default.
- W2266373022 hasPublicationYear "2016" @default.
- W2266373022 type Work @default.
- W2266373022 sameAs 2266373022 @default.
- W2266373022 citedByCount "0" @default.
- W2266373022 crossrefType "posted-content" @default.
- W2266373022 hasAuthorship W2266373022A5008083514 @default.
- W2266373022 hasConcept C11413529 @default.
- W2266373022 hasConcept C114614502 @default.
- W2266373022 hasConcept C121332964 @default.
- W2266373022 hasConcept C2777704519 @default.
- W2266373022 hasConcept C33923547 @default.
- W2266373022 hasConcept C44201097 @default.
- W2266373022 hasConcept C62520636 @default.
- W2266373022 hasConceptScore W2266373022C11413529 @default.
- W2266373022 hasConceptScore W2266373022C114614502 @default.
- W2266373022 hasConceptScore W2266373022C121332964 @default.
- W2266373022 hasConceptScore W2266373022C2777704519 @default.
- W2266373022 hasConceptScore W2266373022C33923547 @default.
- W2266373022 hasConceptScore W2266373022C44201097 @default.
- W2266373022 hasConceptScore W2266373022C62520636 @default.
- W2266373022 hasLocation W22663730221 @default.
- W2266373022 hasOpenAccess W2266373022 @default.
- W2266373022 hasPrimaryLocation W22663730221 @default.
- W2266373022 hasRelatedWork W118554363 @default.
- W2266373022 hasRelatedWork W1503875383 @default.
- W2266373022 hasRelatedWork W1524004732 @default.
- W2266373022 hasRelatedWork W1701294019 @default.
- W2266373022 hasRelatedWork W1787522191 @default.
- W2266373022 hasRelatedWork W1965147766 @default.
- W2266373022 hasRelatedWork W2005290533 @default.
- W2266373022 hasRelatedWork W2021339355 @default.
- W2266373022 hasRelatedWork W2183955087 @default.
- W2266373022 hasRelatedWork W2349139819 @default.
- W2266373022 hasRelatedWork W2349166394 @default.
- W2266373022 hasRelatedWork W2377742725 @default.
- W2266373022 hasRelatedWork W2626875656 @default.
- W2266373022 hasRelatedWork W2891794602 @default.
- W2266373022 hasRelatedWork W2953185908 @default.
- W2266373022 hasRelatedWork W2981012515 @default.
- W2266373022 hasRelatedWork W3021889774 @default.
- W2266373022 hasRelatedWork W3100758610 @default.
- W2266373022 hasRelatedWork W2162009878 @default.
- W2266373022 hasRelatedWork W2608247910 @default.
- W2266373022 isParatext "false" @default.
- W2266373022 isRetracted "false" @default.
- W2266373022 magId "2266373022" @default.
- W2266373022 workType "article" @default.