Sentence examples for define a norm from inspiring English sources

Clearly, one may define a norm on C ( [ a, b ], R n ) to make it a normed vector space.

We define a norm, the so-called Luxemburg norm, on this space by the formula (1.4).

Now, we define a norm in E by |x|_{omega}=sup_{tgeq0}big| e^{omega t}S t)xbig|.

Although does not define a norm in, it holds that the defines a metric on, and makes into a complete metric space.

Further we define a norm on C Q m by ∥ x ∥ C Q m = max k ∥ x ∥ C m ( J k ).

Let (A=C_{1}^{R}[0,1]) and define a norm on A by (Vert xVert = Vert xVert _{infty} + Vert x^{prime} Vert _{infty}) for (xin A).

We show that if Xt is a continuous martingale with X0 = 0 then the quantity supt E Xtlog(Mt+Mt−)) defines a norm on H1 martingales equivalent to the usual norm.

We note that the expression defines a norm on.

If is a Young function, then defines a norm in, which is called the Luxemburg norm.

It is easy to show that (|cdot|_{X_{T}}) defines a norm on (X_{T}).

It is easy to verify that (3) defines a norm on (f(bar{N})).