The 2-(methylamino) pyridine, L, reacts with CuCl in THF to give hexameric copper (I) complex, [CuCl(L)]6. The molecular structure has been determined by using single-crystal X-ray diffraction method. The complex crustallizes in the monoclinic space group P21/n with four molecules per unit cell. The unit cell dimensions are a = 8.3495 (15), b = 15.622 (6), and c = 17.0...

Abstract. We give a new heuristic for all of the main terms in the integral moments of various families of L-functions. The results agree with previous conjectures for the leading order terms. Our conjectures also have an almost identical form to exact expressions for the corresponding moments of the characteristic polynomials of either unitary, orthogonal, or symplectic matrices, where the mom...

Starting from the non-relativistic Pauli description of spin 1 2 particles, a set of fluid equations, governing the dynamics of such particles interacting with external fields and other particles, is derived. The equations describe electrons, positrons, holes, and similar conglomerates. In the case of electrons, the magnetohydrodynamic limit of an electron–ion plasma is investigated. The result...

Two problems confront the spinal anaesthetist when he makes his injection :i. Which are the spinal nerve roots carrying the pain impulses from the operation area. This problem will not be further considered. It involves basic anatomical knowledge with which the anaesthetist must make himself familiar. 2. How is the local anaesthetic, deposited in the lumbar region, to be brought into contact wi...

The conversion of L-2-acetylamino-2-carbomethoxyethanesulfonyl chloride (I) to L-2-acetylamino-2-carbomethoxyethanesulfonamide (II) proceeds with considerable variability in yield We therefore investigated the nature of the by-product (s) of this reaction in order to prepare II in consistently high yields and with reproducible physical data. Compound II [m. p. 145°, [a] 54 2 8 ° (c 2, 95% ethan...

Let k be a number field with ring of adeles A, let B be a quaternion algebra defined over k, and letG = B×. Let π be an infinite dimensional irreducible cuspidal automorphic representation of G(A). Then the vanishing or nonvanishing of L(1/2, π) has been conjectured or shown to be equivalent to conditions of considerable interest in number theory or automorphic representation theory. For exampl...

Consider a hyperbolic system of conservation laws with genuinely nonlinear characteristic fields. We extend the classical Glimm-Lax result [11, Theorem 5.1] proving the existsnce of solution for L∞ initial datum, relaxing the assumptions taken therein on the geometry of the shock–rarefaction curves. 2000 Mathematics Subject Classification: 35L65

Zeta function of the projective curve aY 2 l = bX 2 l + cZ 2 l aY 2 l = bX 2 l + cZ 2 l aY 2 l = bX 2 l + cZ 2 l over a class of finite fields, for odd primes l l l Abstract. Let p and l be rational primes such that l is odd and the order of p mod-ulo l is even. For such primes p and l, and for e = l, 2l, we consider the non-singular projective curves aY e = bX e + cZ e (abc = 0) defined over f...

in this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. we prove a posteriori $ l^2(l^2)$ and error estimates for this method under minimal regularity hypothesis. test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.