Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
combinatorics |
| gptkbp:alsoKnownAs |
gptkb:orthogonal_Latin_squares
|
| gptkbp:application |
cryptography
design of experiments error correction |
| gptkbp:definedIn |
pair of Latin squares of the same order such that when superimposed, each ordered pair of symbols occurs exactly once
|
| gptkbp:existence |
Graeco-Latin squares exist for all orders n except n=2 and n=6
|
| gptkbp:famousProblem |
Euler's 36 officers problem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Graeco-Latin square
|
| gptkbp:inventedBy |
gptkb:Leonhard_Euler
|
| gptkbp:nonExistence |
no Graeco-Latin square of order 2
no Graeco-Latin square of order 6 |
| gptkbp:notation |
pairs of symbols (e.g., Latin and Greek letters)
|
| gptkbp:order |
n
|
| gptkbp:relatedTo |
gptkb:Latin_square
gptkb:mutually_orthogonal_Latin_squares |
| gptkbp:studiedIn |
combinatorics
|
| gptkbp:usedIn |
gptkb:geometry
statistics experimental design |
| gptkbp:bfsParent |
gptkb:Latin_squares
|
| gptkbp:bfsLayer |
8
|