We construct a family of fibered threefolds $X_m \to (S , \Delta)$ such that $X_m$ has no \'etale cover dominates variety general type but it the orbifold $(S,\Delta)$ type. Following Campana, are called \emph{weakly special} not \emph{special}. The Weak Specialness Conjecture predicts weakly special defined over number field potentially dense set rational points. prove if $m$ is big enough pre...

Two experiments investigated the effects of small values of fundamental frequency difference (delta F0) on the identification of concurrent vowels. As delta F0's get smaller, mechanisms that exploit them must necessarily fail, and the pattern of breakdown may tell which mechanisms are used by the auditory system. Small delta F0's also present a methodological difficulty. If the stimulus is shor...

We analyzed the largest Small Magellanic Cloud (SMC) cluster sample (32) with proper motions and radial velocity measurements, from which we obtained their space components. By adopting as a reference recent best-fitted rotating disc of SMC star clusters function position angle, computed residual vectors, compared magnitudes ($\Delta$V) that components equal to dispersions along three independe...

Abstract Singular currents typically appear on rational surfaces in non-axisymmetric ideal magnetohydrodynamic (MHD) equilibria with a continuum of nested flux and continuous rotational transition. These have two components: surface current (Dirac δ -function labeling) that prevents the formation magnetic islands, an algebraically divergent Pfirsch–Schlüter density when pressure gradient is pre...

We analyze the existence and singularity of solution to a reaction-diffusion equation, whose reaction term is represented by a Dirac delta function which depends on the solution itself. We prove that there exists a unique analytic solution with a logarithmic singularity at the origin.

where ri(s) is the d-dimensional position coordinate of a monomer point at a contour length s of chain i, each of length N , V is the base pairing interaction at the same contour length (“directed polymer” interaction), Hev is the mutual excluded volume (ev) interaction represented by the u0 > 0 term with δΛ(r) as the usual delta function with an ultraviolet cut-off Λ in the reciprocal space. T...

This paper deals with the following degenerate fractional Kirchhoff-type system magnetic fields and critical growth: $$\begin{aligned} \left\{ \begin{array}{lll} -\mathfrak {M}(\Vert u\Vert _{s,A}^2)[(-\Delta )^s_Au+u] = G_u(|x|,|u|^2,|v|^2) \\ \quad +\left( \mathcal {I}_\mu *|u|^{p^*}\right) |u|^{p^*-2}u \ &{}\text{ in }\,\,\mathbb {R}^N,\\ \mathfrak v\Vert _{s,A})[(-\Delta )^s_Av+v] G_v(|x|,|...

It is proved that a discrete delta function introduced by P. Smereka [10] gives a second-order accurate quadrature rule for surface integrals using values on a regular background grid. The delta function is found using a technique of A. Mayo [7]. It can be expressed naturally using a level set function.

We present Hartree-Fock calculations on a simple model to obtain the conditions of formation local magnetic moments due loop currents ${L}_{o}$ and spin-loop ${L}_{s}$ compare them spin $M$ which were given long ago in similar approximation by Anderson. A with three degenerate orbitals sitting an equilateral triangle, on-site nearest-neighbor repulsions $U$ $V$, respectively, intersite kinetic ...