We present a detailed computer simulation and integral equation study of the phase behavior of a nematogenic system composed of hard spheres with embedded three-dimensional Maier-Saupe spins. For this well-known system, we map the gas-liquid equilibrium, which is coupled to a first-order isotropic-nematic transition. The anisotropic integral equation theory is found to yield excellent agreement...

Using elementary counting methods of weight systems for nite type invariants of knots and integral homology 3-spheres, in the spirit of B-NG], we answer positively three questions raised in Ga]. In particular, we exhibit a one-to-one map from the space of nite type invariants of integral homology 3-spheres to the space of nite type invariants of knots in S 3 .

New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet–Neumann map for Laplace’s equation in two-dimensional exterior domains. Novelties include a new post-processor which reduces the need for discretization points with 50 per cent, a new integral equation which reduces the error for resolved geometries with a factor equal to the system size, systematic us...

We consider the Dirichlet-to-Neumann map associated to the Schrö– dinger equation with a potential on a bounded domain Ω ⊂ Rn, n ≥ 3. We show that the integral of the potential over a two-plane Π is determined by the values of the integral kernel of the Dirichlet-to-Neumann map on any open subset U ⊂ ∂Ω which contains Π ∩ ∂Ω. 0 Introduction For Ω a bounded domain in R with Lipschitz boundary, ∂...

We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations to the Kronecker integral give the number of fixed points of the map provided that the integration step is small ''enough''. Since in any neighborhood of a fixed point the map gets four different combination of its algebraic signs we use points on a lattice to ...

Purpose: To investigate the effects of magnetic field (MF) on the resting membrane potential and action potential parameters of the Soleus muscle preparations in streptozotocin (STZ) induced diabetic rats. Material and Methods: Forty male wistar rats were used in this study. The rats were divided into four groups; Group I (control), Group II (control with magnetic field), group III (diabetic), ...

We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations to the Kronecker integral give the number of fixed points of the map provided that the integration step is ‘‘small enough.’’ Since in any neighborhood of a fixed point the map gets four different combinations of its algebraic signs we use points on a lattice to...

Given a process with independent increments X (not necessarily a martingale) and a large class of square integrable r.v. H = f(XT ), f being the Fourier transform of a finite measure μ, we provide explicit Kunita-Watanabe and Föllmer-Schweizer decompositions. The representation is expressed by means of two significant maps: the expectation and derivative operators related to the characteristics...

A four-parameter kinematic model for the position of a fluid parcel in a time-varying ellipse is introduced. For any ellipse advected by an arbitrary linear two-dimensional flow, the rates of change of the ellipse parameters are uniquely determined by the four parameters of the velocity gradient matrix, and vice versa. This result, termed ellipse/flow equivalence, provides a stronger version of...