Sentence examples for metric given in from inspiring English sources
Hence, the induced metric, given in (1.3), satisfies (410).
The main reason why the fuzzy metric given in Example 8 does not verify Lemma 3 is the fact that M ( x, y, ⋅ ) is constant on ( 0, ∞ ).
The decoded sequence b ^ corresponds to the best sequence, among the J candidates, according to the metric given in Equation (7).
This leads to the following: Let (M n,g), n≥4, be a semi-Riemannian manifold equipped with any one metric given in (58) to (63).
The fairness and QoS orientation constraints in the network can also be introduced by usage of fairness metric given in (10).
One metric is induced by a curvilinear mesh generated in the physical domain and the other control metric, given in the canonical domain, is responsible for an additional cell shape control, for instance, for condensing the coordinate surfaces and orthogonalization of the grid lines towards the domain boundary.
Let the vector valued hyper-metric between boxes x and y be dist (x, y ) = sup { | x ¯ − y ¯ |, | x ¯ − y ¯ | }, and the Hausdorff distance between the boxes x and y in the metric given by the maximum norm is then dist ∞ (x, y ) = ∥dist x, y )∥ ∞.
The relation between a metric and an S-metric is given in [10] as follows: [10] Let (X, d) be a metric space.
Further details on calculating this metric are given in Section 6.3.
Our results also generalize and extend some fixed point theorems in partially ordered complete metric spaces given in Harjani and Sadarangani [7], Nicolae, O'Regan and Petruşel [8], Nieto and Rodríguez-López [9] and [10], Agarwal, El-Gebeily and O'Regan [16], Nieto, Pouso and Rodríguez-López [11], O'Regan and Petruşel [12], Petruşel and Rus [13], and Ran and Reurings [14].
Our results also generalize and extend some fixed-point theorems in partially ordered complete metric spaces given in Harjani, Sadarangani [8], Nieto, Rodríguez-López [9] and [10], Nieto et al. [11], O'Regan, Petruşel [12], Petruşel, Rus [13] and Ran, Reurings [14].
