Sentence examples for is continuous above from inspiring English sources

It is so arid that mountains that reach as high as 6885 m are completely free of glaciers and, in the southern part from 25°S to 27°S, may have been glacier-free throughout the Quaternary, though permafrost extends down to an altitude of 4400 m and is continuous above 5600 m.

Since (H_{1}^) is continuous, for the above (varepsilon>0), there exists (delta_{3}>delta>0) such that if (vert z_{1}-z_{2}vert

Since (varphi(1,c_{i},lambda )) is analytic in ((c_{i},lambda )) for (c_{i}>0) by Lemma 2.1, and λ is an eigenvalue of (2.4) for a fixed (c_{i}>0) if and only if λ is a zero of (varphi(1,c_{i},lambda )), it follows from the continuity of the zeros of an analytic function ([17], p.248) that (lambda _{n}(c_{i})) is continuous in the above sense.

Let φ be a representable dynamic monetary utility measure on L ∞, which is continuous from above.

So, the fact that the scalar multiplication is continuous follows from the above inequality.

The function a ˜ : Z → R n defined as above is continuous and sends bounded sets into bounded sets.

The function G l has the following properties: (1) For any fixed l ∈ Z, there must be a unique a ˜ = a ˜ ( l ) such that the equation G l ( a ) = 0.   (2) The function a ˜ : Z → R n defined as above is continuous and sends bounded sets into bounded sets.  .

By Theorems 2.6 and 3.1 the mapping F is continuous and bounded above since (F X) < I).

If f is continuous on X, then the above Theorem 2 is Theorem 10 in [1].

Clearly, the right-hand side of the above equality is continuous in H m.

Clearly, the right-hand side of the above equality is continuous in H 1.