Sentence examples for can define on from inspiring English sources

Following [[1], Section 7.2], we can define on M q the quasi-norm | u | M q = ∥ u ∥ L q + sup { | ζ | : ζ ∈ supp F u }, u ∈ M q, where supp F u is a support of the Fourier-image Fu of a function u ∈ M q.

We can define on E a new inner product and the associated norm by 〈 u, v 〉 0 = 〈 B u +, v + 〉 L 2 + 〈 u 0, v 0 〉 L 2, and ∥ u ∥ = 〈 u, u 〉 0 1 2. Therefore, Φ can be written as Φ ( u ) = 1 2 ∥ u + ∥ 2 − Ψ ( u ).

For ((xi,t),(eta,s) in Gtimes{mathbb{R}}), we can define on (Gtimesmathbb{R}) the parabolic distance corresponding to ρ as dbigl((xi,t),(eta,s bigr) equivrho xi,eta) veevert t - s vert^{frac{1}{2}}, (3.2) where (vertcdotvert) denotes the Euclidean distance on ({mathbb{R}}).

It's a word that you can define on your own terms.

Let be an ordinary metric apace, then can define -metrics on by.,.

Sign up now Theget the best of VICE Canada delivered straight to your inbox.

In 2016, your vote can define policy on immigration, taxation, technology, guns, healthcare, and hundreds of other issues that you likely already have an opinion on.

We can define the following on-the-fly detection rule: (7).

Also, observe that it is not necessary that one can define an involution '∗' on a normed space.

With this, you can define an area on the page (maybe a post on the homepage) and repeat it a couple of times down the page.

Analogously, one can define an operator S reducible on the right.