The frequency comb created by a femtosecond mode-locked laser and a microstructured fiber is used to phase coherently measure the frequencies of both the Hg+ and Ca optical standards with respect to the SI second. We find the transition frequencies to be f(Hg) = 1 064 721 609 899 143(10) Hz and f(Ca) = 455 986 240 494 158(26) Hz, respectively. In addition to the unprecedented precision demonstr...

In order to determine the causal agents of Fusarium head blight, during 2015–16, wheat heads with disease symptom were collected from 10 and six main wheat production areas of Golestan and Mazandaran provinces (N Iran), respectively. A total of 431 Fusarium isolates were obtained belonging to nine Fusarium species based on their morphological characteristics. Fusarium graminearum species comple...

For simplicity, we use the following convention: i, n denote natural numbers, a, r, x, y denote real numbers, A denotes a closed-interval subset of R, C denotes a non empty set, and X denotes a set. We now state several propositions: (1) For every element D of divsA such that vol(A) = 0 holds lenD = 1. (2) χA,A is integrable on A and integralχA,A = vol(A). (3) For every partial function f from ...

We study the obstacle problem for fully nonlinear elliptic operators with an anisotropic degeneracy on gradient: $$ \left{\begin{array}{rll} \min\left{f-|Du|^\gamma F(D^2u),u-\phi\right} &= 0 & \textrm{ in } \Omega,\ u = g \partial \Omega, \end{array}\right. some parameter $\gamma\geq 0$, uniformly operator $F$, bounded source term $f$, and suitably smooth $\phi$ boundary datum $g$. obtain exis...

We use the empirical evidence that F-spin multiplets exist in nuclei for only selected states as an indication that F-spin can be regarded as a partial symmetry. We show that there is a class of non-F-scalar IBM-2 Hamiltonians with partial F-spin symmetry, which reproduce the known systematics of collective bands in nuclei. These Hamiltonians predict that the scissors states have good F-spin an...

Let $ (M, g) be a Riemannian manifold with boundary, where g is non-trapping metric. SM the space of spherical tangent to M bundle, and v^g geodesic vector field on $. We study scattering maps C_{v^g}: \partial^+_1SM \to \partial^-_1SM $, generated by $-flow, dynamics billiard B_{v^g, \tau}: \tau denotes an involution, mimicking elastic reflection from boundary \partial getting variety holograp...

Let F={P1,...,Pm} be a family of sets. A partial order P(F, <) on F is naturally defined by the condition Pi< Pj iff Pi is contained in Pj. When the elements of F are disks (i.e. circles together with their interiors), P(F, <) is called a circle order; if the elements of F are n-polygons, P(F, <) is called an n-gon order. In this paper we study circle orders and n-gon orders. The crossing numbe...

two peroxidases (ec. 1.11.1.7), pod i and pod ii were purified from the roots of cultivatedraphanus sativus l. var. cicil by one step ion-exchange chromatography after fractionation by acetone. the molecular weight of these enzymes were 43000 and 41000 daltons and rz 1.2 and 2.0 for pod i and pod ii, respectively. both enzymes consisted of a single polypeptide chain on sds-page. the maximum act...

Abstract In this paper, we study the following generalized Kadomtsev-Petviashvili equation u t + x ( h ) = D − 1 <m:mi ma...

Let m be a non zero element of N, f be a partial function from Rm to R, k be an element of N, and Z be a set. We say that f is continuously differentiable up to order of k and Z if and only if (Def. 1) (i) Z ⊆ dom f , and (ii) f is partial differentiable up to order k and Z, and (iii) for every non empty finite sequence I of elements of N such that len I ¬ k and rng I ⊆ Segm holds f Z is contin...