background: lumbar puncture (lp) is an essential procedure in the diagnosis and treatment of several critical situations. this procedure is routinely performed by palpating external landmarks to fi nd the most appropriate inter-spinous space. in the current study, we compared surface landmark and ultrasound (us) guided lp in different aspects. materials and methods: this clinical trial study wa...

We show that solving linear programming (LP) relaxations of many classical NP-hard combinatorial optimization problems is as hard as solving the general LP problem. Precisely, the general LP can be reduced in linear time to the LP relaxation of each of these problems. This result poses a fundamental limitation for designing efficient algorithms to solve the LP relaxations, because finding such ...

We present natural analogues of strong Haagerup inequalities on non-Kac free orthogonal quantum groups OF+ in which Lp-analytic problems are harder due to their non-tracial nature. Furthermore, we prove optimality the inequalities, and apply obtained results compute optimal time for ultracontractivity heat semigroup distinguish complex interpolation space Lp(OF+) real Lp,p(OF+).

Given a mixed-integer set defined by linear inequalities and integrality requirements on some of the variables, we consider extended formulations of its continuous (LP) relaxation and study the effect of adding cutting planes in the extended space. In terms of optimization, extended LP formulations do not lead to better bounds as their projection onto the original space is precisely the origina...

it is called nontrivial if {0} 6= J 6= X. This notion was introduced by Alfsen and Effros [1] and has proved useful in Banach space geometry, approximation theory and harmonic analysis; see [12] for a detailed account. A number of authors have studied the M -ideal structure in L(X), the space of bounded linear operators on a Banach space X, with special emphasis on the question whether K(X), th...

In this study, we construct the difference sequence spaces lp (P?2q) = (lp)P?2q, 1 ? p ?, where P (?rs) is an infinite matrix of Padovan numbers %s defined by ?rs {?s/?r+5-2 0 s r, > r. and ?2q a q-difference operator second order. We obtain some inclusion relations, topological properties, Schauder basis ?-, ?- ?-duals newly space. characterize certain classes from space to any one l1, c0, ...

Based on recently observed nonlinear dynamic features of human speech, the local projection (LP) method, originally developed for noisy chaotic time series, is generalized and adapted to the enhancement of Chinese speech. The analysis of minimum embedding dimensions estimated by the false nearest neighbor algorithm shows that all the basic phonemes and syllables in Chinese can be faithfully emb...

This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some Lp-space, trΓ : B s,a pp (R ) ↪→ Lp(Γ), s > 0, 1 < p < ∞, where Γ is an anisotropic d-set, 0 < d < n. We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in B pp .

Rosenthal [R] introduced the Lp space Xp in 1971. Among its interesting properties are that it contains and is contained in isomorphs of lp ⊕ l2, but is not isomorphic to a complemented subspace of lp⊕ l2. These properties have made Xp rather resistant to standard approaches to classifying its complemented subspaces. For example it was first proved that Xp was primary in [JO2] where the device ...