of real n-tuples
or, in 'frequency domain', by component-wise multiplication of (complex) n-tuples
n]) is symmetric, if [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the set of all symmetric n-tuples
weakly decreasing n-tuples
of integers determined up to adding multiples of (1, .
The first and third term are minimized by the choices of constant n-tuples
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
He includes the history of this facet of his work as he examines generating all n-tuples
, permutations, combinations, partitions, set partitions, and trees.
The mathematical structures are constituted by certain entities (such as numbers and n-tuples
of numbers, lines, planes, manifolds, vectors and n-tuples
of vectors, etc.
links a concept like "functionings" to Aristotle and to vectors and n-tuples
Viewing these n-tuples
as binary numerals, we may order the subsets of S in binary order.
As every beginner knows, the standard vocabulary of logic is Boolean-complete in the sense that it is sufficient for expressing all Boolean functions (mappings that map ordered n-tuples
of truth values to truth values).
The collection of all possible parameter n-tuples
forms an n-dimensional space called the parameter space, symbolically defined as R.
Toronto): Transforming Normal-generating n-tuples
of a Group into Generating n-tuples
n-k+1], 1 [less than or equal to] k [less than or equal to] n} be the set of all symmetric n-tuples