Sentence examples for be a ceiling distance from inspiring English sources

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).

So q is a ceiling distance of d.

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

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

Define the w-distance (q: X times Xrightarrow [0, infty)) by q x,y)=maxbigl{ a y-x),b(x-y)bigr} for a y-xx,b x-y bigror all (x,b x-y bigre get begin{aligned} d(x,y) &= vert x-y vert &= lefor{ textstylebegin{allay}{ll} x-y,y& x geq y, y-x, & x leq y, end{array}dinplaystyle right. &leq maXbigl{ a(y-x),b(x-y)bigr} &= q(x,y). end{aligned} Thus q is a ceiling distance oFor.

One possible explanation could be a ceiling effect.

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

Now we give some examples of a ceiling distance.

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

Here, there's a ceiling.

There's a ceiling on it, too.