Sentence examples for if the norm from inspiring English sources

We can also see that it is satisfied in a normed space if and only if the norm is induced by a scalar product.

In arbitrary normed spaces Birkhoff orthogonality is in general not symmetric (e.g., in ℝ2 with ||·||∞), and it is symmetric in a normed space of three or more dimension if and only if the norm is induced by an inner product.

If the norm in politics was spontaneity, the media would not dwell to such extent on individual comments.

If the norm of B for some subordinate norm is less than 1, the iteration converges.

And a measurable function h is Bochner integrable if the norm of h is Lebesgue integrable.

If the norm of the traveling speed is less than a threshold, we remove the candidates.

If the norms of objectivity and impartiality are breaking down, what is to distinguish the professional journalist from anyone with access to social media or a blog?

Therefore, we are left wondering if the norms discovered by game theoretic bargaining theory are norms that are feasible for most societies, communities and groups.

If the norms of projections are unbounded, one obtain estimate (20) which implies convergence of the previous sum and hence boundedness of the projections.

Theorem 1 If the norms T + < T − of the linear positive operators T +, T − : C → L satisfy the conditions 3 ⩽ T − < 2 ( 1 + 1 − T + ), T + < 3 / 4, (15).

if the norms T +, T − of the operators T +, T − : C → L satisfy the conditions T + 1 − T + < T − ⩽ 1, T + < 1 / 2, (27).