Sentence examples for a given norm from inspiring English sources

As Turnbull's example shows, having normative beliefs and expecting others to behave according to a given norm does not always result in norm-abiding behavior.

I made myself unhappy measuring my love against a given norm.

A footnote in that decision instructed lower courts to consider a related question, too: "whether international law extends the scope of liability for a violation of a given norm to the perpetrator being sued, if the defendant is a private actor such as a corporation or individual".

We denote with the uniform norm on, that is, for, where is a given norm on.

Here, (Vert cdot Vert ) is a given norm (such as (L^{infty }), (L^{2})).

Relative Strength: Price performance of a stock or group of stocks compared to a given norm, such as the Standard & Poor's 500 or the Dow Jones industrial average.

Since a Minkowski space is a normed space, the given norm defines a usual metric in such a space.

(i) To show the linearity of the space (B(mathcal{L}_{q})) which is a q-normed space with the given norm is a routine verification.

It is a routine verification to show that (M phi)) is a normed space with the given norm (2.1), and so we omit it.

There exists a norm ∥ ⋅ ∥ 1 on A, equivalent to the given norm ∥ ⋅ ∥, such that the cone P is monotone with respect to ∥ ⋅ ∥ 1, i.e., if θ ⪯ x ⪯ y, then ∥ x ∥ 1 ≤ ∥ y ∥ 1. Proof See [2 4], and [5].

(d) There exists a norm ∥ ⋅ ∥ 1 on A, equivalent to the given norm ∥ ⋅ ∥, such that the cone P is monotone with respect to ∥ ⋅ ∥ 1, i.e., if θ ⪯ x ⪯ y, then ∥ x ∥ 1 ≤ ∥ y ∥ 1.  . inf { ∥ x + y ∥ : x, y ∈ P, ∥ x ∥ = ∥ y ∥ = 1 } > 0. P is a normal cone.