Sentence examples for of arbitrary type from inspiring English sources

Finally it is given a capacitary characterization for the shift of the spectral bound being positive which works for operators with spectral bound of arbitrary type.

Moreover, it permits to deal with the linear vibration problems for thin and thick beams subjected to dynamic loads and boundary conditions of arbitrary type.

Now to prove this, assume both *13·01 and the Axiom of Reducibility, and suppose, for proof by reductio, that x = y, and φx, and not φy, for some function φ of arbitrary type.

Further we denote by C π c these conditional simplexes which are not of the type C π b, that is, π c ( N ) ≠ N. If we use C π, we mean a conditional simplex of arbitrary type.

The downsampling operator when takes a stream of arbitrary type and a Boolean stream and keeps only the events of the first one at those instants where the second one is true.

The main purpose of this paper is to compute all irreducible spherical functions on G=SU 3) of arbitrary type δ∈K, where K=S(U 2)×U 1))≃U 2).

Each tuple is a key-value pair, denoted 〈q i,v〉, where both keys and values can be of arbitrary types.

The definition of equality for lists of elements of an arbitrary type uses the equality test for elements of this type.

Under the null hypothesis that there is no difference between the probability densities for cases and controls, the K-function is defined by (number of events j within distance s of an arbitrary type i event), and λ j is the intensity of j events: i = 1 for cases and i = 2 for controls.

Let T be an ergodic Lebesgue space transformation of an arbitrary type, α, β the nontransient cocycles of the associated ergodic equivalence relation with values in a locally compact separable group G, r the Radon-Nikodym cocycle.

The proposed method does not require the application of axial load and is feasible for arbitrary types of boundary conditions.