Sentence examples for space to be defined from inspiring English sources

for all k ∈ Z and ξ ∈ R, where j ∈ l p ′ (a space to be defined later) with 1 p ( k ) + 1 p ′ ( k ) = 1.

where is called phase space to be defined in Section 2. For any function defined on and any, we denote by the element of defined by.

where D q C is the Caputo fractional derivative of order 0 < q < 1, A is the infinitesimal generator of a strongly continuous semigroup { T ( t ), t ≥ 0 } in a Banach space X, which means that there exists M 1 ≥ 1 such that sup t ∈ J ∥ T ( t ) ∥ ≤ M 1, f : J × B h × X, h : J × J × B h are given functions, where B h is a phase space to be defined later.

FMCSA regulation §393.76 gives the minimum requirements for a space to be defined as a sleeper berth.

Taking the first step toward abstract art, he allowed space to be defined by objects their form, angle, solidity, and composition.

Furthermore, noting an operation on the space of functions from one state space to other state space has to be defined, generalizing the continuous and discrete operations [8].

The signal to children that the public space is to be defined as a potentially dangerous space – where the values of the worlds where the visitors work, whether it's in writing or engineering or family, are secondary to the definition of the adult as "vetted" or "safe" – is limiting and fearful.

Furthermore, an operation on the space of functions from to the state space has to be defined generalizing the differential and difference operations.

In order to compare sounds, i.e to give a value of how much two hammering sounds are similar, a meaningful distance measure between sound samples in the Fourier spectrum space has to be defined.

Also, the visual representation of the entity in 3D space has to be defined after each import, so that realistic materials can be used in the visualization.

Mr. Zimerman gives a beautiful account of the variations: the finale, highly effective, has wide-spanning melodies, often violent and gentle in the same breath, searching in a musical space that comes to be defined by chord resonances in the background.