most previous laboratory studies of local scour at bridge abutments were performed in rectangular channels in which the distributions of flow velocity and bed shear stress were considered uniform in the transverse direction. in reality however, bridge abutments are usually located in the floodplain zone of rivers where velocity and shear stress distributions are directly affected by the lat...

We establish the unimodality and the asymptotic strong unimodality of the ordinary multinomials and give their smallest mode leading to the expression of the maximal probability of convolution powers of the discrete uniform distribution. We conclude giving the generating functions of the sequence of generalized ordinary multinomials and for an extension of the sequence of maximal probabilities ...

Measured absorption coefficients in reverberation chambers often differ from theoretical random incidence absorption coefficients, because ideal assumptions for the theoretical random incidence absorption coefficient are not fulfilled during measurements in actual reverberation chambers. Therefore sound intensity distributions on absorber under measurement conditions have been simulated using a...

We consider the one-dimensional bin packing problem under the discrete uniform distributions U{j, k}, 1 ≤ j ≤ k − 1, in which the bin capacity is k and item sizes are chosen uniformly from the set {1, 2, . . . , j}. Note that for 0 < u = j/k ≤ 1 this is a discrete version of the previously studied continuous uniform distribution U(0, u], where the bin capacity is 1 and item sizes are chosen uni...

We explore some probabilistic applications arising in connections with $K$-theoretic symmetric functions. For instance, we determine certain corner distributions of random lozenge tilings and plane partitions. also introduce that are naturally related to the growth model. Our main tools dual Grothendieck polynomials normalized Schur

T his essay considers finite objects, encoded by binary finite sequences called strings. When we talk of distributions we mean discrete probability distributions having a finite support that is a set of strings. Of special interest is the uniform distribution, which for a length parameter n (explicit or implicit in the discussion), assigns each n-bit string x ∈ {0,1}n equal probability (i.e., p...