Examples of 'metric spaces' in a sentence
Meaning of "metric spaces"
metric spaces ~ In mathematics, a metric space is a set of objects in which distances or similarities can be measured. It is a key concept in the field of topology and analysis. Metric spaces are often used to study properties such as convergence, continuity, and connectedness
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- plural of metric space
How to use "metric spaces" in a sentence
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metric spaces
Isomorphisms between metric spaces are called isometries.
Discrete maximal function on doubling metric spaces.
A new proof that metric spaces are paracompact.
Not to be confused with an isometry between metric spaces.
Metric spaces and convergence.
The converse is true for metric spaces.
Comparing two metric spaces one can distinguish various degrees of equivalence.
The limit spaces are metric spaces.
Uniform spaces generalize metric spaces and topological groups and therefore underlie most of analysis.
This remains true in other complete metric spaces.
Terms of metric spaces.
Her research concerns differential geometry and metric spaces.
In general metric spaces.
Moser iteration and a nonlinear eigenvalue problem on metric spaces.
Approach spaces are a generalization of metric spaces that maintains these good categorical properties.
See also
This thesis studies homogeneous classes of complete metric spaces.
It is widely applicable since all metric spaces and all compact Hausdorff spaces are normal.
Properties of covering mappings were then investigated in generalised metric spaces.
For metric spaces the Baire sets are the same as Borel sets.
Probability measures on metric spaces.
Metric spaces on which G acts in this manner are called model spaces for G.
Sobolev functions on metric spaces.
Metric spaces embody a metric, a precise notion of distance between points.
Paracompact manifolds have all the topological properties of metric spaces.
Clearly, every isometry between metric spaces is a topological embedding.
The same notions generalize naturally to functions between metric spaces.
In this case, the two metric spaces are essentially identical.
Regularity and convergence results in the calculus of variations on metric spaces.
The particular type of metric spaces involved is generally referred to as PI-spaces.
The unifying theme of all three articles is analysis on metric spaces.
Course content, Metric spaces and function of several variables.
A large class of spaces satisfying the countable first axiom are metric spaces.
Clearly, every isometry between metric spaces is a topological embedding i . e.
The definition can be generalized to functions that map between metric spaces.
All metric spaces have Hausdorff completions, so let L1 be its completion.
Metric search is similarity search which takes place within metric spaces.
In 1906 Maurice Fréchet introduced metric spaces in his work Sur quelques points du calcul fonctionnel.
A metric tree is any tree data structure specialized to index data in metric spaces.
Category, Metric spaces.
The second method takes place in the more general framework of regression on metric spaces.
Metric spaces in pure and applied mathematics " ( PDF ).
This uniform structure produces also equivalent definitions of uniform continuity and completeness for metric spaces.
For example, graphs, groups and metric spaces are models.
Chapter 2 formalizes and demonstrates the irregularity issue of total orders in metric spaces.
Let ( Xn, dn ) be a sequence of metric spaces with specified base-points pn ∈ Xn.
The injective objects in Met are called injective metric spaces.
Metametrics appear in the study of Gromov hyperbolic metric spaces and their boundaries.
In particular, we give characteristics of urysohn ¿ s space among separable metric spaces.
For instance, any isometry ( distance-preserving map ) between metric spaces is uniformly continuous.
In geometric group theory, groups are studied by their actions on metric spaces.
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Examples of using Spaces
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The interior spaces are rich and varied
Spaces and digits take first priority
But let there be spaces in your togetherness
Examples of using Metric
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Metric tons of instant milk with cereals
All figures are in metric tonnes per year
This metric is not commonly reported or available
