Sentence examples for define the norm of from inspiring English sources

For, define the norm of as (1.3).

Since, we may define the norm of by (2.16).

In the discussion up to this point, we can define the norm of a multivector.

Moreover, we define the norm of f ∈ H 1 by ∥ f ∥ H 1 = ∥ f ∥ L 1 + ∥ M Φ f ∥ L 1.

Define the norm of the matrix A as ∥ A ∥ 2, 2 = sup x ∥ A x ∥ 2 ∥ x ∥ 2 (where ∥ ⋅ ∥ 2 is the norm of a vector).

We define the norm of random matrices as follows: | G |_{L^{2}(Omega,P)} = bigl[Ebigl |G|^{2}bigr) bigr]^{frac{1}{2}}, (5) where G is a random matrix and (|cdot|) is the operator norm.

"Every news organization needs rules — they define the norms of our jobs," he said at a seminar at the Poynter Institute for Media Studies in St . Petersburg where he was president from 1996 to 2003.

Since the divergence-free space (V_{h}subset X_{h}), we can define the norms of the dual spaces (X_{h}), (V_{h}) by Vert omega Vert _{X_{h}^=sup_{mathbf{v}_{h}in X_{h}} frac{(omega,mathbf{v}_{h})}{ Vert nablamathbf{v}_{h} Vert },qquad Vert omega Vert _{V_{h}^=sup _{mathbf{v}_{h}in V_{h}}frac{(omega,mathbf{v}_{h})}{ Vert nablamathbf{v}_{h} Vert }. [36 38].

It is also a political institution through which we determine the boundaries of civic inclusion, and define the norms of citizenship.

We point out how inclusivity and normative objectivity can be reconciled, by defining the norm of good design in terms of a deliberative cooperation between designers and the people they design for.

A second method is to use the most frequently occurring number of years of schooling, i.e. the modal value, within occupations to define the norm instead of the mean.