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They showed also that every metric induces a fuzzy metric.
According to [3], every partial metric induces in a natural way a metric.
Note that is not complete, because the metric induces the discrete topology on, and is a Cauchy sequence in.
The Hermitian matrix (sqrt{-1}Theta ) can be seen as a metric for (X) (almost everywhere), and this metric induces a metric on ((0,q -forms.
Such a metric induces an objective or constraint function that is highly non-linear: we propose a more efficient sub-optimal design methodology that takes into account both the network parameters and the plant dynamics.
In the case that the low-regularity Riemannian metric induces a complete length space, we demonstrate essential self-adjointness of the operator and its higher powers up to the regularity of its coefficients.
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Let be partial metric induced by.
D is called the Hausdorff metric induced by d.
Such a map H is called Hausdorff metric induced by d.
We call this fuzzy metric induced by the metric the standard fuzzy metric.
Indeed, let H0be the Hausdoff metric induced by the metric d0.
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