A bstract We construct the Komar integral for axion-dilaton gravity using Wald’s formalism and momentum maps we use it to derive a Smarr relation stationary black holes. While Wald-Noether 2-form charge is not invariant under SL(2 , ℝ) electric-magnetic duality transformations because does account magnetic charges potentials, constructed with turns out be and, in more general theories, will ful...

  Objective(s): In SPECT, the sinogram contains scatter and lack of attenuated counts that degrade the reconstructed image quality and quantity. Many techniques for attenuation and scatter correction have been proposed. An acceptable method of correction is to incorporate effects into an iterative statistical reconstruction. Here, we propose new Maximum Likelihood Expectation Maximiz...

In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author ...

We obtain upper bounds on the number of finite sets S \mathcal {S} <...

Keywords: Bell polynomial Divided difference Faà di Bruno's formula Multicomposite function a b s t r a c t The well-known formula of Faà di Bruno's for higher derivatives of a composite function has played an important role in combinatorics. In this paper we generalize the divided difference form of Faà di Bruno's formula and give an explicit formula for the n-th divided difference of a multic...

In this paper a closed formula to estimate the mean waiting time in the M/H2/s queue is presented. The proposed formula takes into account the first three moments of the H2 holding time distribution and is extremely easy to compute, while the accuracy is similar to other more complex approximations. The results presented here can be extended to calculate the mean waiting time in the M/G/s queue...

This paper provides a direct equivalence proof for minimax solutions of A.I. Subbotin and generalized weak solutions in the sense of idempotent analysis. It is shown that the Hamilton-Jacobi equation Vt+H(t, x,DxV ) = 0 (with the Hamiltonian H(t, x, s) concave in s), considered in the context of minimax generalized solutions, is linear w.r.t. ⊕ = min and ̄ = +. This leads to a representation fo...

1. On p. 1843 we used the formula dFC 1⁄4 ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi d 1 þ d 02 2 q instead of the correct formula dFC 1⁄4 ðd 0 1 þ d 0 2Þ= ffiffiffi 2 p (where di, i = 1,2 is the observer’s sensitivity in the ith interval of a 2-IFC trial). The key consequence of this error is that we compute the slope s of the theoretic line in testing our Claim 3 as s 1⁄4 ffiffiffiff...