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- Higher_spin_alternating_sign_matrix abstract "In mathematics, a higher spin alternating sign matrix is a generalisation of the alternating sign matrix (ASM), where the columns and rows sum to an integer r (the spin) rather than simply summing to 1 as in the usual alternating sign matrix definition. HSASMs are square matrices whose elements may be integers in the range −r to +r. When traversing any row or column of an ASM or HSASM, the partial sum of its entries must always be non-negative.High spin ASMs have found application in statistical mechanics and physics, where they have been found to represent symmetry groups in ice crystal formation.Some typical examples of HSASMs are shown below:The set of HSASMs is a superset of the ASMs. The extreme points of the convex hull of the set of r-spin HSASMs are themselves integer multiples of the usual ASMs.".
- Higher_spin_alternating_sign_matrix wikiPageID "7951427".
- Higher_spin_alternating_sign_matrix wikiPageRevisionID "601723204".
- Higher_spin_alternating_sign_matrix hasPhotoCollection Higher_spin_alternating_sign_matrix.
- Higher_spin_alternating_sign_matrix subject Category:Enumerative_combinatorics.
- Higher_spin_alternating_sign_matrix subject Category:Matrices.
- Higher_spin_alternating_sign_matrix subject Category:Statistical_mechanics.
- Higher_spin_alternating_sign_matrix type Abstraction100002137.
- Higher_spin_alternating_sign_matrix type Arrangement107938773.
- Higher_spin_alternating_sign_matrix type Array107939382.
- Higher_spin_alternating_sign_matrix type Group100031264.
- Higher_spin_alternating_sign_matrix type Matrices.
- Higher_spin_alternating_sign_matrix type Matrix108267640.
- Higher_spin_alternating_sign_matrix comment "In mathematics, a higher spin alternating sign matrix is a generalisation of the alternating sign matrix (ASM), where the columns and rows sum to an integer r (the spin) rather than simply summing to 1 as in the usual alternating sign matrix definition. HSASMs are square matrices whose elements may be integers in the range −r to +r.".
- Higher_spin_alternating_sign_matrix label "Higher spin alternating sign matrix".
- Higher_spin_alternating_sign_matrix sameAs m.026l6l7.
- Higher_spin_alternating_sign_matrix sameAs Q5758413.
- Higher_spin_alternating_sign_matrix sameAs Q5758413.
- Higher_spin_alternating_sign_matrix sameAs Higher_spin_alternating_sign_matrix.
- Higher_spin_alternating_sign_matrix wasDerivedFrom Higher_spin_alternating_sign_matrix?oldid=601723204.
- Higher_spin_alternating_sign_matrix isPrimaryTopicOf Higher_spin_alternating_sign_matrix.