In this paper, the finite impulse response (FIR) filter based on an exponential quadratic cost function is proposed for a stochastic discrete-time state space model. The joint probability density function of the current state and the external noises on the recent finite horizon is introduced and the corresponding expected value of the exponential quadratic cost function is minimized with respec...

We point out that there are compact 4-manifolds which do not admit metrics of positive scalar curvature, but nonetheless have finite covering spaces which do carry such metrics. Moreover, passing from a 4-manifold to a covering space sometimes actually changes the sign of the Yamabe invariant. As was first pointed out by Bérard Bergery [1], there exist, in dimensions ≡ 1 or 2 mod 8, n ≥ 9, cert...

A description of the Roper using the chiral chromodielectric model is presented and the transverse A1/2 and the scalar S1/2 helicity amplitudes for the electromagnetic Nucleon–Roper transition are obtained for small and moderate Q. The sign of the amplitudes is correct but the model predictions underestimate the data at the photon point. Our results do not indicate a change of sign in any ampli...

For the fourth-order teleparallel $$f\left( T,B\right) $$ theory of gravity, we investigate cosmological evolution for universe in case a spatially flat Friedmann–Lemaître–Robertson–Walker background space. We focus on which is separable, that is, _{,TB}=0$$ and nonlinear function scalars T B. this theory, use Lagrange multiplier to introduce scalar field attributes higher-order derivatives. In...

In this paper we present the design of a super-scalar processor constructed using optoelectronic components interconnected via high-speed free-space optical buses.

A saddle point variational (SPV ) method was applied to the Dirac equation as an example of a fully relativistic equation with both negative and positive energy solutions. The effect of the negative energy states was mitigated by maximizing the energy with respect to a relevant parameter while at the same time minimizing it with respect to another parameter in the wave function. The Cornell pot...