Sentence examples for mappings defined as from inspiring English sources

Let be a sequence of mappings defined as Lemma 2.1.

Consider the pair of mappings defined as (2.1).

Let, let be a sequence of mappings defined as in Lemma 2.1, and let.

Put for every Let and let be a sequence of mappings defined as in Lemma 2.1.

Let { Q β n } be a sequence of mappings defined as in Lemma 2.1.

Let and let be a sequence of mappings defined as in Lemma 2.2.

Let T i : X 3 → X be mapping defined as T i ( x, y, z ) = x + y + z 3 i ; i ∈ N and g is self-mapping defined as g ( x ) = x.

In the setting of Example 2.2, retain the same mappings and and define as with.

Sequences (or double sequences) will be understood as mappings defined on (mathbb{N}) (or (mathbb{N} timesmathbb{N})), thus avoiding as much as possible the use of subscripts or superscripts.

Then a mapping m∈?? (with 𝕄 as the set of all mappings) is defined as the tuple By this definition, a mapping m represents a combination of measurements together with its metadata and a set of attributes.

These mappings are defined as follows.