We investigate the behavior of the shear viscosity eta(p) and the mass-dependent diffusion coefficient D(m,p) in the context of a simple model that, as the cross link density p is increased, undergoes a continuous transition from a fluid to a gel. The shear viscosity diverges at the gel point according to eta(p) approximately (p(c)-p)(-s) with s approximately 0.65. The diffusion constant shows ...

We synthesized a series of fluorinated compounds and tested them in an easy assay for their repellent activity against the ant Myrmica rubra. Depending on their chain length and pattern of fluorination these molecules are efficient repellents for this ant. Fluorinated compounds are stronger repellents than their unfluorinated analogs. 1,1,1-Trifluorotridecan-2-one (4) is an even better repellen...

Given two positive integers n, r, we define the Gaudin function of level r to be quotient of the numerator of det ( ((xi − yj)(xi − tyj) · · · (xi − tyj)) )

Let (M, E) be a generalized polarized manifold, i.e., a pair of an n-dimensional smooth projective variety and an ample vector bundle E of rank r on M . Let τ be the nef value of a polarized manifold (M, det E), i.e., the minimum of the set of real numbers t such that KM + tdet E is nef; we have τr ≤ n+ 1 by Mori’s theory. In this paper we classify the pairs (M, E) in the following two cases: (...

A lattice diagram is a finite list L = of lattice cells. The corresponding lattice diagram determinant is ∆ L (X; Y) = det x pj i y qj i. The space M L is the space spanned by all partial derivatives of ∆ L (X; Y). We describe here how a Schur function partial derivative operator acts on lattice diagrams with distinct cells in the positive quadrant.

In a Central Michigan wetland setting, air drawn through a DEET-impregnated screen using an electric fan and projected toward a human subject significantly reduced mosquito orientation by 74%, landing by 75%, and probing by 70%, relative to no applied wind or DEET. The DEET vapor effect was significant as revealed by a statistically significant wind/DEET interaction. The wind speed at the downw...

Temos portanto verificado que O(3) = Zeros G. Mas as matrizes de O(3) podem ter determinante igual a +1 ou −1 e os elementos de SO(3) satisfazem detA = 1. No entanto, dado A ∈ SO(3) podemos considerar a vizinhança V = det−1(R+). Uma vez que a aplicação determinante é cont́inua e o conjunto R é aberto conclúimos que V é também aberto e portanto é de facto uma vizinhança de A (porque A ∈ V). Temos...

In a previous paper, [1], we have studied a property of subharmonic dependence on a parameter of Bergman kernels for a family of weighted L-spaces of holomorphic functions. Here we prove a result on the curvature of a vector bundle defined by this family of L-spaces itself, which has the earlier results on Bergman kernels as a corollary. Applying the same arguments to spaces of holomorphic sect...

It is well-known that the Dirichlet problem for the MongeAmpère equation det Du = μ in a bounded strictly convex domain Ω in R has a weak solution (in the sense of Aleksandrov) for any finite Borel measure μ on Ω and for any continuous boundary data. We consider the Dirichlet problem when Ω is only assumed to be convex, and give a necessary and sufficient condition on the boundary data for solv...

Theorem 1. 1) Under local changes of the fields u = u(w) the coefficient g(u) in the bracket (2) transforms like a bilinear form (a tensor with upper indices); if det g 6= 0, then the expression b k (u) = gΓ j sk transforms in such a way that the Γjsk are the Christoffel tymbols of a differential-geometric connection. 2) In order that the bracket (2) be skew-symmetric it is necessary and suffic...