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...

We consider timelike Liouville theory with FZZT-like boundary conditions. The bulk one-point and two-point structure constants on a disk are derived using bootstrap techniques. find that these not the analytic continuations of their spacelike counterparts.

In this paper, we propose a fast one-parameter variant of preconditioned Uzawa (OVPU) method with a scaled preconditioner for solving the saddle point problems, and then we present its convergence region and a formula for finding its optimal parameter. Also performance of the proposed OVPU method with a scaled preconditioner is compared with the existing one or two parameter iterative methods w...

We present a systematic method for reducing an arbitrary one−loop N(≥ 5)−point massless Feynman integral with generic 4−dimensional momenta to a set comprised of eight fundamental scalar integrals: six box integrals in D = 6, a triangle integral in D = 4, and a general two−point integral in D = 4 + 2ε space time dimensions. All IR divergences present in the original integral are contained in th...

Consider the smooth projective models C of curves y = f(x) with f(x) ∈ Z[x] monic and separable of degree 2g + 1. We prove that for g ≥ 3, a positive fraction of these have only one rational point, the point at infinity. We prove a lower bound on this fraction that tends to 1 as g →∞. Finally, we show that C(Q) can be algorithmically computed for such a fraction of the curves, via Chabauty’s me...

A method for calculating special grid placement for three-point schemes which yields exponential superconvergence of the Neumann to Dirichlet map has been suggested earlier. Here we show that such a grid placement can yield impedance which is equivalent to that of a spectral Galerkin method, or more generally to that of a spectral Galerkin-Petrov method. In fact we show that for every stable Ga...

In this paper we present a new semilocal convergence theorem from data at one point for the Weierstrass iterative method for the simultaneous computation of polynomial zeros. The main result generalizes and improves all previous ones in this area.

Due to the increasing need to distributed energy resources in power systems, their problems should be studied. One of the main problem of distributed energy resources is unplanned islanding. The unplanned islanding has some dangers to the power systems and the repairman which are works with the incorrect devices. In this paper, a passive local method is proposed. The proposed method is based on...

Software Functional Size Measurement (FSM) methods more and more often are used worldwide as a basis for estimating/measuring the Dedicated Software System (DSS) Development and Enhancement Projects (D&EP) costs. It involves adopting specified per-unit cost measured with regard to the product’s functional size unit. In this paper we present a case study on tender competition concerning enhancem...