Sentence examples for the norm condition from inspiring English sources

If the two values satisfy the norm condition, the process finishes.

For a Banach space with a normal cone, the norm condition (2.7) can be reduced to an order condition.

But when (||P-Q||<1), this space is trivial, so under the norm condition, W might be (and as we'll see is) invertible.

Theorem 5 partially improves Theorem 2 since the norm condition (Vert kVert <1) is replaced by the spectral radius condition (r k)<1).

The Hardy space, denoted (H^{2}(mathbb{D})=H^{2}), is the set of all analytic functions f on (mathbb{D}) satisfying the norm condition |f|_{1}^{2}=lim_{r rightarrow1} int_{0}^{2pi} biglvert fbigl(re^{itheta } bigr) bigrvert ^{2}frac{dtheta}{2pi}< infty.

If (B a,R)) is replaced by (B 0,R)) in the above definition, then the function space is the central Morrey space (dot{M}^{q,lambda}(mathbb {R}^{n})) introduced in [25] with the norm condition Vert f Vert _{dot{M}^{q,lambda}(mathbb {R}^{n})}=sup_{R>0} biggl( frac{1}{ vert B 0,R) vert ^{1+lambda q}} int_{B 0,R)} biglvert f(x) bigrvert ^{q},dx biggr)^{1/q}< infty.

The most specific reference to dual practice is in the Doctors' Working Law 1990 stating the norms, conditions, hours and salary of Peruvian doctors, but even here there is some degree of vagueness.

The space (BMO(mathbb {R}^{n})) is the mean oscillation function space satisfying the following norm condition: Vert f Vert _{BMO(mathbb{R}^{n})}=sup_{B} frac{1}{ vert B vert } int_{B} biglvert f(x -f_{B} bigrvert,dx -f_{

Nonconvex/convex matrix inequalities obtained from the H∞ norm condition for each frequency are approximated by linear matrix inequalities, respectively.

The speeding study supports the DRT, as the negative frame in obeying the speed limit norm condition had a stronger effect on reducing speeding than the other conditions.

Since the quotient is not uniquely determined we introduce an additional constraint, the sum of the RBF-norms of the numerator and denominator squared should be minimal subjected to a norm condition on the function values.