Yang Hui triangle

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:train
gptkbp:alsoKnownAs Pascal's triangle (in China)
gptkbp:application gptkb:Fibonacci_numbers
gptkb:Sierpinski_triangle
combinatorial identities
probability calculations
expansion of binomials
gptkbp:countryOfOrigin gptkb:China
gptkbp:describes binomial coefficients
gptkbp:firstDescribed gptkb:Yang_Hui
13th century
gptkbp:firstPublished 1261
Xiangjie Jiuzhang Suanfa (Detailed Analysis of the Nine Chapters on Mathematical Procedures)
https://www.w3.org/2000/01/rdf-schema#label Yang Hui triangle
gptkbp:language gptkb:Chinese
gptkbp:namedAfter gptkb:Yang_Hui
gptkbp:property each number is the sum of the two numbers directly above it
gptkbp:relatedTo gptkb:binomial_theorem
gptkb:Pascal's_triangle
gptkbp:structure triangular array
gptkbp:usedIn gptkb:algebra
gptkb:probability_theory
combinatorics
gptkbp:bfsParent gptkb:Yang_Hui
gptkbp:bfsLayer 8