The scalar potential of the Minimal Supersymmetric Standard Model (MSSM) is nearly flat along many directions in field space. We provide a catalog of the flat directions of the renormalizable and supersymmetry-preserving part of the scalar potential of the MSSM, using the correspondence between flat directions and gauge-invariant polynomials of chiral superfields. We then study how these flat d...

The well-known Funk metric F (x, y) is projectively flat with constant flag curvature K = −1/4 and the Hilbert metric Fh(x, y) := (F (x, y) + F (x,−y))/2 is projectively flat with constant curvature K = −1. These metrics are the special solutions to Hilbert’s Fourth Problem. In this paper, we construct a non-trivial R-flat spray using the Funk metric. It is then an inverse problem in the calcul...

Optical Character Recognition (OCR) using Android has been received a great attention. In all these efforts a flat document is selected for OCRing and non-flat documents are ignored. Labels mounted on cylindrical surfaces such as wine bottle, pill box, cans, etc, are examples of non-flat documents. The goal of this research effort is to perform optical character recognition on a non-flat docume...

CNG vessels are used in many vehicles.  Mass production of CNG pressure vessels requires exact understanding of process effective parameters.  In this paper, the numerical analysis has been used to study the manufacturing parameters.  The entire manufacturing processes, including deep drawing, redrawing and ironing, of an aluminum liner sample of CNG pressure vessel (without spinning) have been...

background and aim: as the most perceived and articulated errors of hearing aid users occur in high frequency speech phonemes, this study aimed to find a way to amplify and reconstruct the errors. thus, the study first prepared a recorded form of two persian fricative consonants as stimulus; then, the rate of the prescribed gain of the two methods of national acoustic laboratories-nonlinear 2 (...

Load carrying capacity of flat double-layer space structures majorly depends on the structures' imperfections. Imperfections in initial curvature, length, and residual stress of members are all innately random and can affect the load-bearing capacity of the members and consequently that of the structure. The double-layer space trusses are susceptible to progressive collapse due to sudden buckli...

Growing evidence suggests that flat colorectal cancers (CRC) account for 10% to 20% of all CRCs and that these are frequently associated with more advanced pathologies. However, controversy exists as to the origin and progression of flat CRCs compared with the more common polypoid-type morphology. We report using the azoxymethane mouse model for human CRC that KK/HIJ and I/LNJ mice develop diff...

A versatile post-fabrication process to produce thinned, flat, back-illuminated CCDs is being developed at Jet Propulsion Laboratory's Microdevices Laboratory. This technique is compatible with many ultraviolet enhancement treatments and has been demonstrated with the delta doping process. The significance of this demonstration is that thinned, robust, and flat CCDs are produced without the use...