Sentence examples for defined whenever from inspiring English sources

Division of dual numbers is defined whenever the real part of the denominator is non-zero.

Since the fixed point set of nonexpansive operators is closed convex, the projection P s onto the solution set S is well defined whenever S ≠ ∅.

We suggest that, to avoid confusion, the term should be carefully and accurately defined whenever used, and ideally only used to mean fluid pressure in excess of hydrostatic pressure.

For a given 5-day bin and local time longitudinal grid point, the mean value is defined whenever daily averaged wind values are defined on any day in the 5-day period somewhere between the latitudinal range; thus, the representativeness is sometimes quite limited.

The local modulus of continuity of a function g : [ 0, 1 ] → R at a point x is defined by ω ( g, x, t ) = sup { | g ( v ) − g ( w ) | : v, w ∈ [ x − t, x + t ] ∩ [ 0, 1 ] }, t ≥ 0. For p ≥ 1, the average modulus of continuity is defined by τ ( g, t ) p = ∥ ω ( g, ⋅, t ) ∥ p. This modulus is well defined whenever g is a bounded measurable function.

The ARB also recommended several systemic changes to matters that involve the CIA and Congress, such as suggesting that a clearer set of standards be defined whenever a shared computer network is used in the course of oversight, and that the agency's Office of Congressional Affairs be involved throughout any future matters that could potentially cause controversy.

The best policy to avoid missing MRD due to immunophenotypic shifts may be to define, whenever possible, at least two different LAPs.

Power injection level is defined dynamically whenever planned injection is disturbed due to FE or change in operational scenario across the grid.

This work demonstrated the use of electrodeformation, which is defined as whenever a dielectric forces (DEP) was utilized to apply mechanical stimuli to deform a cell [71].

A sample was defined R+ whenever it manifested a significant expression of the remodeling meta-signature, R− otherwise.

Patients were eligible when they had fulfilled the following inclusion criteria: age ≥18 years, MS-diagnosis with mild, moderate or severe spasticity (severity was rated by the physician, defined as whenever spasticity causes limitations to ADL, activities in a social environment or where there is a danger of spasticity-related complications), patient's informed consent.