Sentence examples for defined as the norm from inspiring English sources

The shape factor is defined as the norm of the major Fourier component of the periodic wall profile.

The space W 0 m, x E M ( Q ) is defined as the (norm) closure in Wm,xE M (Q) of D.

In the literature, the accuracy metric has been studied widely through the position error, defined as the norm of the difference between the estimated and the true position [1, 6].

For the minimum exposure path, to quantitatively analyze the simplifying efficacy of TGSARWI algorithm to MEP problem, the reduction ratio r is defined as the norm ratio of sub-network G1 formed by n h connected paths to the original grid network G: r=frac{leftVert {G}_1rightVert }{leftVert GrightVert }=frac{leftVert {G}_1rightVert }{mtimes n} (14).

The space W 0 1 E M is defined as the (norm) closure of the Schwartz space D in W1E M and the space W 0 1 L M as the σ ( ∏ L M, ∏ E M ¯ ) closure of D in W1L M. We say that u n converges to u for the modular convergence in W1L M if for some λ > 0, ∫ Ω M D α u n - D α u λ d x → 0 for all |α| ≤ 1.

Here, institutions are defined as the norms and rules that steer the behaviour of individuals.

Social capital can be defined as the norms and networks that enable people to act collectively (Woolcock and Narayan 2000).

Organizational culture is defined as the norms, values, beliefs and expectations shared by those who work in a given unit.

where is the step-size, is the regularization parameter and is defined as the -norm.

Now faculty and students will feel more anxious than ever that views or viewpoints that go beyond the policed confines of what administrators -- or worse, the lapdogs of the watchdog groups -- define as the norm, will be able to be expressed as part of an open conversation.

A rank- k approximation of P is then defined as (11) It can be shown that P k ) is the optimal rank- k approximation (Stewart, 1993), i.e. if the approximation error is defined as the Frobenius norm of P− P k ) such that (12) Then, ε k ) is the minimum of all the rank- k approximations.