Sentence examples for a space equipped with from inspiring English sources

Basis states are realized as polynomials in a space equipped with a differentiation inner product.

In this paper we develop simple fixed point results for order-preserving self-maps on a space equipped with a transitive binary relation and a collection of distance measures.

I was reassured that not all was lost the night I witnessed Art vs. Science rock a packed-out show earlier this year at Mercury Lounge - a space equipped with a revealing soundsystem, fully capable of pointing out the best musical talents and the artists who should just pack up their equipment and head back to their open-mic gigs.

Always make sure that the finishing is conducted in a space equipped with plenty of ventilation, preferably windows and doors that can be opened to allow a steady current of air through the room.

A locally solid Riesz space ( X, τ ) is a Riesz space equipped with a locally solid topology τ.

Particularly, a Banach space equipped with a partial order is called a partially ordered Banach space if the norm of this space induces a natural topology with respect to the given partial order, which satisfies the order-linearity properties (3).

In this paper, a topological space equipped with a partial order is called a partially ordered topological space, if the topology on this space is natural with respect to the given partial order.

Mohamed Akkouchi, [11] studied a general version of a problem posed by Feng Qi [12] in the context of a measured space equipped with a positive finite measure.

Let X be a uniform space equipped with an ℰ-distance p and consider a directed graph G with V ( G ) = X and Δ ( X ) ⊆ E ( G ), that is, E ( G ) contains all loops.

In addition they can be multiplied, whence they form a vector space equipped with a bilinear associative operation.

Let ((X,d,mathcal{R})) be a metric space equipped with a binary relation (mathcal{R}) defined on X.