SYLVESTER AND CAYLEY
نویسندگان
چکیده
منابع مشابه
An extension of the Cayley-Sylvester formula
We extend the Cayley-Sylvester formula for symmetric powers of SL2(C)modules, to plethysms defined by rectangle partitions. Ordinary partitions are replaced by plane partitions, and an extension of the Hermite reciprocity law follows. 1. Let Sd denote the irreducible SL2(C)-module of dimension d + 1, which can be identified with the space of homogeneous polynomials of degree d in two variables....
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The number ν d (n) of linearly independed homogeneous invariants of degree n for the ternary form of degree d is calculated. The folloving formula is hold is number of nonnegative integer solutions of the system of equations
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For a generic n-degree polynomial system which contains n+1 polynomials in n variables, we give the construction of the generic mixed Cayley-Sylvester resultant matrix. There are n− 1 generic mixed Cayley-Sylvester resultant matrices between the classical Cayley resultant matrix and the classical Sylvester resultant matrix. The entries of these new resultant matrix are of degree m(1 < m < n + 1...
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It is, however, not clear how to choose the generators to produce special graphs. We know many topologies and their generators, but many more may be constructed in the future, having better properties (in terms of diameter, nodal degree and connectivity) than for instance the hypercube. I will present several graphs which connect rings using the generator g 1 and some additional generators.
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ژورنال
عنوان ژورنال: Science
سال: 1916
ISSN: 0036-8075,1095-9203
DOI: 10.1126/science.43.1118.781b