45,990 research outputs found
Lower Bounds for Oblivious Subspace Embeddings
An oblivious subspace embedding (OSE) for some , and d ≤ m ≤ n is a distribution over such that for any linear subspace of dimension d. We prove any OSE with has , which is optimal. Furthermore, if every in the support of is sparse, having at most s non-zero entries per column, we show tradeoff lower bounds between m and s.Engineering and Applied Science
A Prime Analogue of Roth's Theorem in Function Fields
Abstract. Let Fq[t] denote the polynomial ring over the nite eld Fq, and let PR denote the subset of
Fq[t] containing all monic irreducible polynomials of degree R. For non-zero elements r = (r1; r2; r3) of Fq
satisfying r1 + r2 + r3 = 0, let D(PR) = Dr(PR) denote the maximal cardinality of a set AR PR which
contains no non-trivial solution of r1x1 + r2x2 + r3x3 = 0 with xi 2 AR (1 i 3). By applying the
polynomial Hardy-Littlewood circle method, we prove that D(PR) q jPRj=(log log log log jPRj).NSERC Discovery Grant || NSA Young Investigator Grant, #H98230-10-1-0155, #H98230-12-1-0220, #H98230-14-1-0164
Extended Dorsal Preservation in a New Concept of Preservational Rhinoplasty
Background: A dorsal preservation rhinoplasty concept was discussed and the benefits vs.
contraindications and limitations were presented. In specific cases of severe nasal septal deformations
associated with necessity of major septoplasty, focused on perpendicular plate, a New Concept of
Extended Dorsal Preservation Rhinoplasty is presented (New Extended PR-D). PR-D is based on
septoplasty, rhinosculpture and partial osteotomies.
Goals: The objective of this paper is to present a new approach in some cases of rhinoplasty named
as extended dorsal preservation rhinoplasty.
Methods and Results: Partial and incomplete osteotomies were introduced as method to avoid
disinsertion of nasal pyramid of glabellar area and to avoid bony step in areas off osteotomy cut.
Rhinosculpture in its extended mode was promoted for modulation of bony structure with obtaining
immediate aesthetic and structural results, minoring a surgical trauma.
Conclusion: The principles of Preservation Concept were respected in this New Extended PR-D
Concept.info:eu-repo/semantics/publishedVersio
Hadron production measurement from NA61/SHINE
New results of NA61/SHINE on determination of charged hadron yields in
proton-carbon interactions are presented. They aim to improve predictions of
the neutrino flux in the T2K experiment. The data were recorded using a
secondary-proton beam of 31 GeV/ momentum from CERN SPS which impinges on a
graphite target. To determine the inclusive production cross section for
charged pions, kaons and protons the thin () target was
exploited. Results of this measurement are used in the T2K beam simulation
program to reweight hadron yields in the interaction vertex. At the same time,
NA61/SHINE results obtained with the T2K replica target ()
allow to constrain hadron yields at the surface of the target. It would
correspond to the constraint up to 90% of the neutrino flux, thus reducing
significantly a model dependence of the neutrino beam prediction. All measured
spectra are compared to predictions of hadron production models.
In addition a status of the analysis of data collected by NA61/SHINE for the
NuMI target (Fermilab) is reviewed. These data will be used further in neutrino
beam calculations for the MINERvA, MINOS(+) and LBNE experiments.Comment: Presented at EPS-HEP 2013 in Stockholm on July 19, 201
Optimal and efficient crossover designs for comparing test treatments with a control treatment
This paper deals exclusively with crossover designs for the purpose of
comparing t test treatments with a control treatment when the number of periods
is no larger than t+1. Among other results it specifies sufficient conditions
for a crossover design to be simultaneously A-optimal and MV-optimal in a very
large and appealing class of crossover designs. It is expected that these
optimal designs are highly efficient in the entire class of crossover designs.
Some computationally useful tools are given and used to build assorted small
optimal and efficient crossover designs. The model robustness of these newly
discovered crossover designs is discussed.Comment: Published at http://dx.doi.org/10.1214/009053604000000887 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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