Sentence examples for a ceiling distance of from inspiring English sources

So q is a ceiling distance of d.

Each metric on a nonempty set X is a ceiling distance of itself.

Clearly, q is a w-distance on X and a ceiling distance of d.

Since q is a ceiling distance of d, we obtain (q(x_{n},x_{n+1})>0) for all (n inmathbb{N} cup{0}).

A w-distance q on a metric space ((X,d)) is said to be a ceiling distance of d if and only if q x,y) geq d x,y) (3.1) for all (x,y in X).

Let ((X,d)) be a complete metric space, and (q: X times Xrightarrow [0, infty)) be a continuous (w^{0} -distance on X and a ceiling distance of d. Suppose that (T: X rightarrow X) is a w-generalized weak contraction mapping. Then T has a unique fixed point in X.

First, we introduce the new definition of a ceiling distance on a metric space.

Now we give some examples of a ceiling distance.

In this paper, we introduce the concept of a special w-distance, the so-called ceiling distance, and use this concept for proving fixed point theorems for generalized contraction mappings with respect to w-distances in complete metric spaces via the concept of an altering distance function.

As can be noticed, the ceiling value decreases with the number of antennas, M. For M = 50, the ceiling distance is smaller than 1e−4, showing that the approximated MSE expression can replace the one presented in [21].

A ceiling function,, of the envelope difference function is computed according to (4).