The activities of amantadine and ribavirin against influenza A viruses were compared against low-multiplicity (plaque inhibition) and high-multiplicity (protein synthesis inhibition) infections. Our results suggest that the predictive value of in vitro data for the clinic may be improved by consideration of tests against a high-multiplicity infection.

We study multiplicity based criteria for integral dependence of modules or of standard graded algebras, known as ‘Rees criteria’. Rather than using the known numerical invariants, we achieve this goal with a more direct approach by introducing a multiplicity defined as a limit superior of a sequence of normalized lengths; this multiplicity is a non-negative real number that can be irrational.

An instance of the two-dimensional strip packing problem is specified by n rectangular items, each having a width, 0 < wn ≤ 1, and height, 0 < hn ≤ 1. The objective is to place these items into a strip of width 1, without rotations, such that they are nonoverlapping and the total height of the resulting packing is minimized. In this thesis, we consider the version of the twodimensional strip pa...

Let A = {as +nsZ}s=1 be a system of arithmetic sequences which forms an m-cover of Z (i.e. every integer belongs at least to m members of A). In this paper we show the following surprising properties of A: (a) For each J ⊆ {1, · · · , k} there exist at least m subsets I of {1, · · · , k} with I 6= J such that ∑ s∈I 1/ns − ∑ s∈J 1/ns ∈ Z. (b) If A forms a minimal m-cover of Z, then for any t = 1...

1. An estimate for the HK multiplicity of a curve Let X be a nonsingular projective curve over an algebraically closed field k of characteristic p > 0. We fix the following notations for a vector bundle V on X . If 0 = F0 ⊂ F1 ⊂ F2 ⊂ · · · ⊂ Ft ⊂ Ft+1 = V is the Harder-Narasimhan filtration (or HN filtration) then we denote μ(Fi) = μ(Fi/Fi−1) and μ(Fi) = μ(Fi+1/Fi). Now throughout the section w...

Advances in information technology and changing customer needs for channel service outputs have dramatically affected the routes to markets in many industries. The authors propose that these changes have led to significant alterations in how customers interact with firms and consequently to a phenomenon that we dub ‘‘channel multiplicity.’’ Channel multiplicity is characterized by the customer’...

l j l ZZ r g Then r are called orthogonal wavelets of multiplicity r if B forms an orthonormal basis of L IR We say that r are wavelets prewavelets of multiplicity r if B forms a Riesz basis of L IR and j l is orthogonal to k n f r g l n j k ZZ with j k The general theory of wavelets of multiplicity r is treated in As usual the method is based on a generalization of the notion of multiresolutio...

Human cytomegalovirus (HCMV) ie1 deletion mutant CR208 is profoundly growth deficient after low-multiplicity infection of primary fibroblasts. Previously, we showed that many fewer cells infected with CR208 at low multiplicity accumulated the delayed-early (DE) protein ppUL44 than accumulated the immediate-early 2 (IE2) p86 protein, indicating a high frequency of abortive infections. We now dem...

BACKGROUND Whether vascular multiplicity should be considered as contraindication and therefore 'extended donor criterion' is still under debate. METHODS Data from all live kidney donors from 2006-2013 (n = 951) was retrospectively reviewed. Vascular anatomy as imaged by MRA, CTA or other modalities was compared with intraoperative findings. Furthermore, the influence of vascular multiplicity...