Examples of using Open set in English and their translations into Greek
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Colloquial
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meaning that every open set is a union of some collection of sets from the base.
Another example of a curve with infinite length is the graph of the function defined by f(x)= x sin(1/x) for any open set with 0 as one of its delimiters and f(0)= 0.
as well as the commission's ongoing open set top box initiative.
it is necessary first to extend γ˙{\displaystyle{\dot{\gamma}}} to a continuously differentiable vector field in an open set.
any given region or open set of its phase space will eventually overlap with any other given region.
any given region or open set of its phase space eventually overlaps with any other given region.
any given region or open set of its phase space eventually overlaps with any other given region.
then A is an open map(i.e. if U is an open set in X, then A(U)
the topology on a differential manifold in differential topology where each point within the space is contained in an open set that is homeomorphic to an open ball in a finite-dimensional Euclidean space.
g with transition function h= f(g-1(z)) we can consider h as a map from an open set of R2 to R2 whose Jacobian in a point z is just the real linear map given by multiplication by the complex number h'(z).
g with transition function h= f(g- 1(z)), h can be considered as a map from an open set of R2 to R2 whose Jacobian in a point z is just the real linear map given by multiplication by the complex number h'(z).
We say that f is holomorphic on some non-open set A if it is holomorphic in an open set containing A.
The open sets of a topological space,
Here, the basic open sets are the half open intervals a, b.
In the usual topology on Rn the basic open sets are the open balls.
In the usual topology on Rn the basic open sets are the open balls.
the axioms defining open sets become axioms defining closed sets: .
the above axioms defining open sets become axioms defining closed sets:
Although open sets and the topologies that they comprise are of central importance in point-set topology, they are also
In practice, however, open sets are usually chosen to be similar to the open intervals of the real line.