Sentence examples for defined in is a from inspiring English sources

then the map defined in is a contraction.

(4.2). for all, where is defined as in Section 2,, are defined in, is a continuous and strictly increasing odd function on, satisfying, for,,,, and are nondecreasing continuous functions, and the ratio is also nondecreasing, and for   .

Then (f_{n}) defined in is an a.f.p.s.

where is defined in (8), is a parameter, is the number of RBs allocated to user in subframe, and.

Moreover, Ψ defined in (2.5) is a continuously Gâteaux differentiable functional whose Gâteaux derivative is compact.

The set Ω endowed with the norm ∥ ⋅ ∥ defined in (18) is a Banach space.

Clearly, f defined in (1.2) is a root of 1-extension and (K f)=K(F)).

Then we show that defined in (3.2) is a generalized inverse of.

The family of maps defined in (19) is an example of a family of such extensions.

On the other hand, vector b, defined in (48), is an integer vector.

where will be defined in Section 2, is a time scale, is fixed and.