Gen_spectrum=Generic_1nm_Interpolation(Input_Spectrum, Method=’Cubic Splines’) First_filt_step=Filter_Boxcar(Gen_Spectrum, boxcar_length=’10% of Gen_spectrum’) Second_filt_step=Filter_Boxcar(First_filt_step, boxcar_length=’10% of Gen_spectrum’) Third_filt_step=Filter_Boxcar(Gen_Spectrum, boxcar_length=’2% of Gen_spectrum’) Fourth_filt_step=Filter_Boxcar(Third_filt_step, boxcar_length=’2% of Gen...

We calculate, at the classical level, the superpotential tri-linear couplings of the only known globally consistent heterotic minimal supersymmetric Standard Model [1]. This recently constructed model is based on a compactification of the E8 × E8 heterotic string theory on a Calabi-Yau threefold with Z2 fundamental group, coupled with a slope-stable holomorphic SU(5) vector bundle. In the obser...

We study stability of subsonic phase boundary solutions in the Suliciu model for phase transitions under tri-linear structural relation. With the help of Laplace transform, the evolution of perturbation is described by a linear dynamical system, and explicit solution is obtained in terms of inverse Laplace transform. Stability is established through energy estimates. The relaxed system is also ...

Automatic steering systems have been available for several years. Mechanical feeler systems, including the Tri-R system2, can provide moderate performance at a reasonable cost, but face limitations (Figure 1). Mechanical feel systems are crop limited and require a relatively stiff crop that has reached sufficient maturity for the feeler to detect. The feeler systems are both speed and curve lim...

The ability to model objects composed of multiple materials has become increasingly more demanded in scientific applications. The visualization of a discrete multi-material volume often suffers from voxelization of the boundary between materials. We propose a contouring method that can be efficiently implemented on the GPU to reduce the artifacts and jaggedness along the material boundaries. Ou...

Power offset is zero-order term in the capacity versus signal-to-noise ratio curve. In this paper, approximate analysis of power offset is presented to describe MIMO system with uniform linear antenna arrays of fixed length. It is assumed that the number of receive antenna is larger than that of transmit antenna. Spatially Correlated MIMO Channel is approximated by tri-diagonal toeplitz matrix....

Bovine serum albumin (BSA) nanoemulsions were produced by high pressure homogenization with a tri-block copolymer (Poloxamer 407), which presents a central hydrophobic chain of polyoxypropylene (PPO) and two identical lateral hydrophilic chains of polyethylene glycol (PEG). We observed a linear correlation between tri-block copolymer concentration and size - the use of 5mg/mL of Poloxamer 407 y...

In the so-called conformal model of Euclidean space of geometric algebra, circles receive a very elegant description by the outer product of three general points of that circle, forming what is called a tri-vector. Because circles are a special kind of conic section, the question arises, whether in general some kind of third order outer product of five points on a conic section (or certain line...