We consider low scale slow roll inflation driven by the gauge invariant flat directions udd and LLe of the Minimally Supersymmetric Standard Model at the vicinity of a saddle point of the scalar potential. We study the stability of saddle point and the slow roll regime by considering radiative and supergravity corrections. The latter are found to be harmless, but the former require a modest fin...

Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle method is used several different fields of mathematics and physics. Several terms expansion for factorial function have explicitely computed. Results: integrals estimated this way values close to exact one. Conclusions: Higher order corrections are not negligible even when requiring moderate le...

The saddle point (SP) calculation is a grand challenge for computationally intensive energy function in computational chemistry area, where the may represent transition state. traditional methods need to evaluate gradients of at very large number locations. To reduce expensive computations true gradients, we propose an active learning framework consisting statistical surrogate model, Gaussian p...

The flame forming process is widely used to manufacture ship hull plates. The saddle-shaped surfaces have different curvatures in perpendicular angles of planes and the manufacturers face an anti-clastic curvature. In this article, the manufacturing of saddle-shaped surfaces utilizing the flame forming process is investigated. The spiral irradiating scheme is used for forming. In order to study...