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Say that f : {0, 1}n → {0, 1} 2-approximates g : {0, 1}n → {0, 1} if the functions disagree on at most an 2 fraction of points. This paper contains two results about approximation by DNF and other small-depth circuits: (1) For every constant 0 < 2 < 1/2 there is a DNF of size 2 √ n) that 2-approximates the Majority function on n bits, and this is optimal up to the constant in the exponent. (2) ...
We study computability theoretic properties of 01 and 0 1 equivalence structures and how they di er from computable equivalence structures or equivalence structures that belong to the Ershov di erence hierarchy. This includes the complexity of isomorphisms between 01 equivalence structures and between 01 equivalence structures. Any 0 1 equivalence structure A with in nitely many in nite equival...
This work is devoted to the numerical simulation of an incompressible fluid through a porous interface, modeled as a macroscopic resistive interface term in the Stokes equations. We improve the results reported in [M2AN 42(6):961–990, 2008], by showing that the standard Pressure Stabilized PetrovGalerkin (PSPG) finite element method is stable, and optimally convergent, without the need for cont...
Results Overall, 1, 898 pregnancies were eligible, of them, 259 underwent induction of labor, and 1, 639 were admitted with spontaneous onset of labor. Demographic data, parity, gestational age at delivery and birthweight were similar. The overall rate of cesarean delivery was significantly higher in the study group (16. 2% vs. 10. 7%, p=0. 01), mainly due to labor dystocia (8. 1% vs. 3. 7%, p<...
Bernstein coe cients provide a discrete approximation of the behavior of a polynomial inside an interval. This can be used for example to isolate real roots of polynomials. We prove a criterion for the existence of a single root in an interval and the correctness of the de Casteljau algorithm to compute e ciently Bernstein coe cients. Key-words: Polynomials, de Casteljau, Bernstein polynomials,...
UNLABELLED ALO-01 (EMBEDA [morphine sulfate and naltrexone hydrochloride] extended-release capsules [King Pharmaceuticals, Inc, Bridgewater, NJ]), indicated for chronic moderate-to-severe pain, is designed to release naltrexone upon tampering (eg, by crushing), reducing morphine-induced subjective effects. This multicenter, randomized, double-blind, crossover study assessed pharmacokinetics, ef...
The paper presents analysis relating to the method of local quasigeoid modelling based on the geophysical technique of gravity data inversion, using non-reduced surface gravity data and GNSS/levelling height anomalies. One of the main problems occurring in the application of the method is to determine the model weighting matrix, the purpose of which is to control the inversion process. This pap...
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