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In mathematics, the method of dominant balance approximates the solution to an equation by solving a simplified form of the equation containing 2 or more of the equation's terms that most influence (dominate) the solution and excluding terms contributing only small modifications to this approximate solution.
Any strictly diagonally dominant matrix is trivially a weakly chained diagonally dominant matrix. Weakly chained diagonally dominant matrices are non-singular and include the family of irreducibly diagonally dominant matrices. These are irreducible matrices that are weakly diagonally dominant, but strictly diagonally dominant in at least one row.
A player can compare two strategies, A and B, to determine which one is better. The result of the comparison is one of: B strictly dominates (>) A: choosing B always gives a better outcome than choosing A, no matter what the other players do.
Equivalently, λ is dominant if it is a non-negative integer combination of the fundamental weights. In the A 2 {\displaystyle A_{2}} case, the dominant integral elements live in a 60-degree sector. The notion of being dominant is not the same as being higher than zero.
Conversely, every inclusion of fields () is induced by a dominant rational map from X to Y. [3] Hence, the above construction determines a contravariant-equivalence between the category of algebraic varieties over a field k and dominant rational maps between them and the category of finitely generated field extension of k .
In discrete mathematics, dominance order (synonyms: dominance ordering, majorization order, natural ordering) is a partial order on the set of partitions of a positive integer n that plays an important role in algebraic combinatorics and representation theory, especially in the context of symmetric functions and representation theory of the ...
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