The direct constraint on the parameters of short range pseudomagnetic interaction of free neutron with matter is obtained from the recent test experiment on a search for neutron EDM by crystal-diffraction method [1]. It is shown that this constraint on a product of scalar to pseudo-scalar coupling constants gsgp is better than that of any other method for the range λ < 10cm.

Let V be a real unitary space. A real unitary space is said to be a subspace of V if it satisfies the conditions (Def. 1). (Def. 1)(i) The carrier of it ⊆ the carrier of V , (ii) the zero of it = the zero of V , (iii) the addition of it = (the addition of V )↾[: the carrier of it, the carrier of it :], (iv) the external multiplication of it = (the external multiplication of V )↾[: R, the carrie...

It is well known that the integrable Hamiltonian systems defined by the Adler-Kostant-Symes construction correspond via Hamiltonian reduction to systems on cotangent bundles of Lie groups. Generalizing previous results on Toda systems, here a Lagrangian version of the reduction procedure is exhibited for those cases for which the underlying Lie algebra admits an invariant scalar product. This i...

A simple way of obtaining multivariate wavelets is the tensor product of univariate wavelets. Multivariate wavelets are of interest in both theory and application. In this paper, we study the projection method, an inverse operation in some sense to the tensor product method, to investigate various properties of multivariate refinable function vectors and multivariate multiwavelets. To illustrat...

The notion of the rotational frequency shift, an analog of the Doppler shift, is introduced. This new frequency shift occurs for atomic systems that lack rotational invariance, but have stationary states in a rotating frame. The rotational frequency shift is given by the scalar product of the angular velocity and the angular momentum of the emitted photon in full analogy with the standard Doppl...

We show that the log likelihood ratio statistic factors in such a way that the expansion of its square root may be simply computed symbolically by machine. If the parameter of interest, , is scalar, the root of the log likelihood ratio statistic is simply expressed as the product of ^ ? times a scalar expression. The resulting product has a form that permits the symbolic computation of its mome...

In this paper, we investigate Erdős–Ko–Rado type theorems for families of vectors from {0,±1}n with fixed numbers +1’s and −1’s. Scalar product plays the role intersection size. particular, sharpen our earlier result on largest size a family such that avoids smallest possible scalar product. We also obtain an exact no negative products.