In this note we derive the slow-roll and rapid-roll conditions for the minimally and nonminimally coupled space-like vector fields. The function f(B) represents the non-minimal coupling effect between vector fields and gravity, the f = 0 case is the minimal coupling case. For a clear comparison with scalar field, we define a new function F = ±B2/12+f(B2) where B = AμA , Aμ is the “comoving” vec...

Studies have found that rolling the visual environment affects observers’ perception of gravitational vertical and horizontal and that pitching the environment affects observers’ perception of pitch. However, the relationship between these two perceptions is not fully understood. In the present work, observers performed three tasks while in a visual surround whose pitch and roll was manipulated...

In this paper, we present a corrugation software features and its related development issues. Typically, in a paper corrugation factory, such a software is very important. The main features in the software is the paper roll inventory management and paper roll selection planning. The inventory management includes the stocking of the paper rolls. The roll selection plan involves creating a roll s...

The twin-roll strip casting process is a typical steel-strip production method which combines continuous casting and hot rolling process. The production line from molten liquid steel to the final steel-strip is shortened and the production cost is reduced significantly compared to the conventional continuous casting. The twin-roll strip casting process can produce 1-5 mm thin steel strip direct...

The slow-roll approximation to inflation is ultimately justified by the presence of inflationary attractors for the orbits of the solutions of the dynamical equations in phase space. There are many indications that the inflaton field couples nonminimally to the spacetime curvature: the existence of attractor points for inflation with nonminimal coupling is demonstrated, subject to a condition o...