Sentence examples for which is a norm from inspiring English sources

Exact(5)

which is a norm if p≥1 and an antinorm if 0

(with the usual modification if 0 < p ≤ ∞, q = ∞ ), which is a norm on L p, q ( R n ) for 1 < p < ∞, 1 ≤ q ≤ ∞ or p = q = ∞.

One may consider Ea,p also as a sphere w.r.t. the function |.|a,p which is a norm if p≥1 and an antinorm if 0

A judgment that action A is permissible is incompatible with a pair the first member of which represents A as a lie, and the second member of which is a norm that rules out lying.

In the case (1 < p, q < infty) we define Vert fVert _{(pq)} = biggl( int_{0}^{infty} bigl( t^{1/p} f^{astast}(t) bigr)^{q} frac{dt}{t} biggr)^{1/q} (with the usual modification if (0< pleqinfty), (q = infty)) which is a norm on (L_{pq}(mathbb {R}^{n})) for (1< p

Similar(55)

Now, we should define a transform from (B(mathcal{L}_{q})) to (mathcal {L}_{q}) which is a norm-preserving bijection.

We recall that a Banach -algebra is said to be an -algebra provided there exists on a second norm, not necessarily complete, which is a -norm.

21 Normative education promotes a norm against tobacco use among peers, which is a necessary norm for skills training to deal with peer pressures, 22 and corrects their misperceptions that tobacco use is common among peers.

Other -norm operations include the minimum value and Hamacher -norm [23] which is a parameterized norm and is written for two values A and B: (12).

Consider Algorithm 3.1, in which is a minimum norm stationary point of the tangential quadratic problem (3.1).

The commonest reason for refusal was lack of time and in the case of females, the male partner not being present to give consent, which is a cultural norm in some of our communities.

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