pseudometric वाक्य
उदाहरण वाक्य
मोबाइल
- The uniform structure will be the pseudometric uniformity induced by the above pseudometric.
- The uniform structure will be the pseudometric uniformity induced by the above pseudometric.
- That is, points in a pseudometric space may be " infinitely close " without being identical.
- An analogous pseudometric was constructed for flat affine and projective structures in and then generalized to ( normal ) projective connections.
- *PM : generalization of a pseudometric, id = 8936 new !-- WP guess : generalization of a pseudometric-- Status:
- *PM : generalization of a pseudometric, id = 8936 new !-- WP guess : generalization of a pseudometric-- Status:
- First, consider a property of topological spaces, such as being pseudometric . ( Again, there is a more direct definition of pseudometric .)
- First, consider a property of topological spaces, such as being pseudometric . ( Again, there is a more direct definition of pseudometric .)
- Pseudometric spaces typically are not Hausdorff, but they are preregular, and their use in analysis is usually only in the construction of Hausdorff gauge spaces.
- That is, a pseudometric is a metric if and only if the topology it generates is T 0 ( i . e . distinct points are topologically distinguishable ).
- A Hausdorff uniform space is above, such a uniformity can be defined by a " single " pseudometric, which is necessarily a metric if the space is Hausdorff.
- The main intuition behind LMNN is to learn a pseudometric under which all data instances in the training set are surrounded by at least k instances that share the same class label.
- (This limit exists because the real numbers are complete . ) This is only a pseudometric, not yet a metric, since two different Cauchy sequences may have the distance 0.
- Unlike a metric space, points in a pseudometric space need not be distinguishable; that is, one may have d ( x, y ) = 0 for distinct values x \ ne y.
- A topological space is said to be a "'pseudometrizable topological space "'if the space can be given a pseudometric such that the pseudometric topology coincides with the given topology on the space.
- A topological space is said to be a "'pseudometrizable topological space "'if the space can be given a pseudometric such that the pseudometric topology coincides with the given topology on the space.
- In a pseudometric proximal relator space X, the neighbourhood of a point x \ in X ( denoted by N _ { x, \ varepsilon } ), for \ varepsilon > 0, is defined by
- Less trivially, it can be shown that a uniform structure that admits a countable fundamental system of entourages ( and hence in particular a uniformity defined by a countable family of pseudometrics ) can be defined by a single pseudometric.
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