Sentence examples for non necessarily from inspiring English sources
Considering the situation in which H=L2(Rn) and τ is the trace (restriction) operator along some null subset, we give various applications to singular perturbations of non necessarily elliptic pseudo-differential operators, thus unifying and extending previously known results.
Let (mathsf {B}={b_0, b_1, ldots, b_{d-1}}) be an arbitrary (non necessarily marked) basis of the space (Bbbk ^X).
It is not possible to assess on just one realization whether a point process is a (non necessarily homogeneous) Poisson process or not since the variations of the repartition of the points between different parts of one trial can either be due to nonstationarity or to more complex dependency structures that cannot be studied on just one run.
We examine a class of utility maximization problems with a non-necessarily law-invariant utility, and with a non-necessarily law-invariant risk measure constraint.
This algorithm is an extension of a previous one, designed to generate acyclic digraphs, non-necessarily connected.
This paper presents an indirect adaptive control scheme for nominally stabilizable, non-necessarily inversely stable, first-order continuous-time systems with unmodeled dynamics.
We study some structural aspects of the subspaces of the non-commutative (Haagerup) Lp-spaces associated with a general (non-necessarily semi-finite) von Neumann algebra.
In this paper, we investigate the theoretical guarantees of penalized ℓ1-minimization (also called Basis Pursuit Denoising or Lasso) in terms of sparsity pattern recovery (support and sign consistency) from noisy measurements with non-necessarily random noise, when the sensing operator belongs to the Gaussian ensemble (i.e. random design matrix with i.i.d. Gaussian entries).
Given a divergence operator δ on a probability space such that the law of δ(h) is infinitely divisible with characteristic exponent 0.1)h↦−12∞∫0h2tdt,or∞∫0(eih(t)−ih(t)−1)dt,h∈L2(R+), we derive a family of Laplace transform identities for the derivative ∂E[eλδ u)]/∂λ when u is a non-necessarily adapted process.
Up to now, harmonic balance methods have used a uniform time sampling of the period of interest, but in the case of several frequencies, non-necessarily multiple of each other, harmonic balance methods can face stability issues due to a bad condition number of the Fourier operator.
In contrast to hard information, soft information is non-necessarily-factive, hence revisable in the presence of new information.
