Sentence examples for subset of space from inspiring English sources

for a nonempty and bounded subset of space.

In [15], Appel and De Pascale gave to the following simple form in space: (3.2). for a nonempty and bounded subset of space.

It is also compact because it is a subset of space (left (left { 0,1right } times left [ 0,Tsup _{tin mathbb {N} }d_{t}right ] right)^{infty }) that is compact by Tychonoff theorem.

We define mathcal{S}_{T}:= bigl{ uinmathcal{X} | bigl| u(cdot,t bigr| _{L^{infty}(Omega)}leq| u_{0}|_{L^{infty}(Omega)}+1=:R mbox{ for all }t in[0,T] bigr}, which is a bounded closed convex subset of space (mathcal{X}:=C^{0} (bar{Omega} times[0,T] ) ).

Since the whole design space nor a subset of design space are not explored in the worst case methods, these approaches may fail to achieve efficient performance yield.

This viable space is a subset of a space of biochemical parameters, where a model maintains a desirable behavior.

A subset of this space is homeomorphic to the space of finite arcs in the subarc topology.

However, some equilibrium problems and fixed point problems of nonlinear mappings always belong to different subsets of spaces in general.

The advantage of projection methods is that strong convergence of iterative sequences can be guaranteed without any compactness assumptions imposed on maps or subsets of spaces.

However, in general, some equilibrium problems always belong to different subsets of spaces, so the SEP is important and quite general.

A manifold is a type of subset of Euclidean space that has a well-defined tangent space at every point.