Sentence examples for mapping is cubic from inspiring English sources

for all Thus the mapping is cubic.

Thus the mapping is cubic, as desired.

Taking the limit as, we find that satisfies (1.8) for all Therefore the mapping is cubic.

In fact, replacing with and in (3.15), respectively, and then taking the limit, we find that satisfies (1.10) for all Therefore, the mapping is cubic.

Now we show that the mapping defined by is additive and the mapping defined by is cubic.

By [[43], Lemma 2.2], the mapping C X X → Y is cubic.

Therefore, the mapping C : X → Y is cubic.

Thus, by Lemma 4.6, the mapping x ⇝ C(2x) - 2C x) is cubic.

If an odd mapping f : V1 → V2 satisfies (1.5), then the mapping h : V1 → V2 defined by h(x) = f(2x) - 2f(x) is cubic.

Then a mapping is called a cubic homomorphism if is a cubic function satisfying (1.4).

Hence is cubic homomorphism.