Sentence examples for element of a set from inspiring English sources

The idea was to take one element of a set and use that to find the next element, then to use the second to construct a third, and so on.

In many cases, planners must compute a planning graph for each element of a set of states, and the naive technique enumerates the graphs individually.

As modified by Hungarian-born American mathematician John von Neumann, it says, intuitively, that if with each element of a set there is associated exactly one set, then the collection of the associated sets is itself a set; i.e., it offers a way to "collect" existing sets to form sets.

We also show with the help of matrix geometric means and a Riemannian metric over the set of positive definite matrices that for a rational exponent p in the interval (0,1], the matrix X raised to p is the largest element of a set represented by linear matrix inequalities.

Before Frege, Husserl and others, Bolzano carefully distinguished between subsumption (in set-theoretical terminology: to be an element of a set) and subordination (to be a subset).

They advocate the view that in a specific situation a causally relevant condition is a necessary element of a set of conditions jointly sufficient for the harmful outcome.

We discuss the properties of these second-order tangent derivatives, using which we establish second-order necessary optimality conditions for a point pair to be a Henig efficient element of a set-valued optimization problem.

Just applying these properties, we established second-order necessary optimality conditions for a point pair to be a Henig efficient element of a set-valued optimization problem where the second-order tangent derivatives of the objective function and constraint function are separated.

Some properties of second-order tangent derivatives are discussed, using which second-order necessary optimality conditions are established for a point pair to be a Henig efficient element of a set-valued optimization problem, and in the expressions the second-order tangent derivatives of the objective function and the constraint function are separated.

An algebraic hyperstructure (henceforth simply called a hyperalgebra) is a set endowed with one or more hyperoperations, i.e., multi-valued operations mapping a pair of elements to a set of elements.

Equivalence relation, In mathematics, a generalization of the idea of equality between elements of a set.