Sentence examples for mapping cannot be from inspiring English sources

Thus, T is not a contraction mapping and then the Banach contraction mapping cannot be applied to this example.

The next example shows that the ≤ p -continuity of the mapping cannot be deleted in the statement of Theorem 4.

But, it is worth noting that for some sets, the mapping cannot be defined for all possible values of because the equation has no solution.

The next examples show that the p s -continuity and monotonicity of the mapping cannot be deleted in the statement of Theorem 9.

Whereas the mapping cannot be a K-homotopy that transforms ((X, kappa_{X}^{2})) onto ((Y, kappa_{Y}^{2})), it can be an 8-homotopy without the K-topological structure.

The example below shows that the monotone-≤-continuity of the mapping cannot be omitted in the statement of Theorem 1 in order to provide the existence of a fixed point.

"The Vinland Map cannot be medieval in origin," he asserted.

Frequently, a targeted map cannot be composed because some published map servers are unavailable.

One disadvantage of this method is that error for MAP cannot be determined.

"If the road map cannot be implemented, all will be done in coordination with the United States," Mr. Shalom told Israel radio.

Because we are only using the onboard EEPROM, relatively large maps cannot be stored, because the resolution would be too large.