Sentence examples for mappings must be from inspiring English sources

On failure, it must return -1, which otherwise should not be a valid mapping id, and the process's mappings must be unchanged.

The main problem here is that we must deal with reads at exon-exon boundaries (without the introns present in the reference genome), so spliced mappings must be looked for, which is unusual for standard DNA reads mapping.

If different mappings must be used on different connections, you can create command files or macros containing those mappings, and then execute the appropriate one before making each connection.

Commutative mappings must be weak commutative mappings, weak commutative mappings must be compatible, compatible mappings must be weakly compatible, but the converse is not true.

Remark Commutative mappings must be weak commutative mappings, but the converse is not true.

For fields with non-preliminary types in each archetype basic data type, the corresponding SQL type is noted as "#" and the mappings must be referenced in Table  1.

(2) Although Theorem 3.1 gives a strong convergence algorithm for two countable families of quasi-nonexpansive mappings, the condition that each mapping must be demiclosed at θ is very strong.

Since a commutative mapping must be a weak commutative mapping, so S p, A and T q, B are weak commutative mappings.

Clearly, each family of generalized -mappings must be a family of generalized -majorant mappings.

More accurately, in order to use the contractive condition, a self-mapping T must be Lipschitz continuous, with the Lipschitz constant L < 1.

In the following theorem, we prove that if, for any given mapping f, there exists a mapping F (near f) with some properties possessed by cubic-quadratic-additive mappings, then the mapping F must be uniquely determined.