Sentence examples for be an odd mapping from inspiring English sources

Let be an odd mapping satisfying (3.5).

Let be an odd mapping with satisfies inequality (3.16).

Let f : X → Y be an odd mapping satisfying (2.5).

Let f be an odd mapping satisfying all of the conditions of Theorem 2.2.

Let be an odd mapping satisfying (2.2). for all and all.

Let r < 1 and θ be positive real numbers, and let f : X → Y be an odd mapping satisfying (2.1).

Since is odd, is an odd mapping.

Since is an odd mapping, is an odd mapping; (3) Moreover, which implies the inequality (2.39)  .

Since is an odd mapping, satisfies (2.6).

Then is an odd mapping satisfying (2.27).

(3) is an odd mapping, Proof.