We calculate the parton level cross section for the production of two jets that are far apart in rapidity, subject to a limitation on the total transverse momentum Q0 in the interjet region. We specifically address the question of how to combine the approach which sums all leading logarithms in Q/Q0 (where Q is the jet transverse momentum) with the BFKL approach, in which leading logarithms of ...

Let f and g be two smooth vector fields on a manifold M . Given a submanifold S of M , we study the local structure of time-optimal trajectories for the single-input control-affine system q̇ = f(q) + ug(q) with the initial condition q(0) ∈ S. When the codimension s of S in M is small (s ≤ 4) and the system has a small codimension singularity at a point q0 ∈ S, we prove that all timeoptimal traje...

2. Let Q(X,Y ) be some joint distribution. Suppose (X, Y ) = (X1, Y1), . . . , (Xn, Yn) iid ∼ Q0(X,Y ) = Q(X)Q(Y ), where Q(X) and Q(Y ) are the marginal distributions corresponding to the joint distribution Q(X,Y ). In other words, Xi and Yi are independent. We are interested in the probability that (X, Y ) appear to be depdendent or jointly distributed according to Q(X,Y ). In last lecture, w...

This study aimed to improve the adsorption capacity of activated carbon (AC) towards naphthalene (NAP) in aqueous solutions. Starch-based AC (SAC) and pulverized coal-based (PCAC) were prepared a one-pot procedure by activation with oleic acid KOH under microwave heating. Brunauer–Emmett–Teller (BET) specific surface areas reached 725.0 912.9 m2/g for situ modified SAC (O-SAC1) PCAC (O-PCAC1), ...

The stochastic population dynamics model used by Aboriginal Whaling Management Procedure developers is revised to correct weaknesses related uncertainty parameterisation and replacement yield estimation. Two variants of this model, along with the standard deterministic version, are assess Bering-Chukchi-Beaufort Seas stock bowhead whales. differ respect magnitude complexity variation they intro...

PURPOSE To demonstrate how reference data affect the quantification of the apparent diffusion coefficient (ADC) in long diffusion time measurements with diffusion-weighted stimulated echo acquisition mode (DW-STEAM) measurements, and to present a modification to avoid contribution from crusher gradients in DW-STEAM. METHODS For DW-STEAM, reference measurements at long diffusion times have sig...

We solve the following problem proposed by H. Straubing. Given a two letter alphabet A, what is the maximal number of states f(n) of the minimal automaton of a subset of An, the set of all words of length n. We give an explicit formula to compute f(n) and we show that 1 = lim n→∞ nf(n)/2n ≤ limn→∞ nf(n)/2 n = 2. The purpose of this note is to solve the following question, raised by H. Straubing...

The effect of a combined system of the bed suction and jet injection as a pier-scour countermeasure on the turbulent flow field is studied in a laboratory flume using an Acoustic Doppler Velocimeter (ADV). The three components of the velocities in the vertical symmetry plane in the equilibrium scour hole in front and rear of the pier under 3-jet injections and bed suction rate Qs/Q0 = 2%located...

We examine the likelihoods of different cosmological models and cluster evolutionary histories by comparing semi-analytical predictions of X-ray cluster number counts with observational data from the ROSAT satellite. We model cluster abundance as a function of mass and redshift using a Press–Schechter distribution, and assume that the temperature TðM; zÞ and bolometric luminosity LXðM; zÞ scale...

The next-to-next-to-leading order (NNLO) QCD analysis of the experimental xF3 structure function from CCFR data is performed. The theoretical uncertainties of the analysis are discussed. The study of DIS structure functions has been a fruitful source of information on the structure of the proton and for testing perturbative QCD. Between the most outstanding results of the program of analyzing s...