We argue that analysing schemes for metrology solely in terms of the average particle number can obscure particles effectively used informative events. For a states we demonstrate that, both frequentist and Bayesian frameworks, state essentially be decoupled from aspects total distribution associated with any metrological advantage.

We prove that the theorem of Mouhot and Villani on Landau damping near equilibrium for Vlasov-Poisson equations $\mathbb{T}_x \times \mathbb{R}_v$ cannot, in general, be extended to high Sobolev spaces case gravitational interactions. This is done by showing every space, there exists background distributions such one can construct arbitrarily small perturbations exhibit many isolated nonlinear ...

cash is a critical source for business enterprises and creating balance between available cash and the required cash is the most important factor concerning the economic viability of a business enterprise. both of the companies that do not hold enough cash or hold too much cash, face too much problems. this paper investigates the impact of deviation from the estimated optimal cash level on firm...