We define the curvilinear rank of a degree d form P in n+1 variables as the minimum length of a curvilinear scheme, contained in the d-th Veronese embedding of Pn, whose span contains the projective class of P . Then, we give a bound for rank of any homogenous polynomial, in dependance on its curvilinear rank.

A MR method is presented for measuring pulse wave velocity (PWV) and its application to assessing stiffness in the human thoracic aorta. This one-dimensional (1D) flow displacement method applies a single RF comb excitation to the vessel, followed by an oscillating frequency encoding gradient, each oscillation providing a 1D projection of the vessel, enabling one to track fluid motion. The curr...

A 2-step clustering procedure, using indexes derived from principal component analysis, was used to disclose sperm subpopulations within the canine ejaculate and its relationship to sperm cryoresistance. Semen from 4 dogs was frozen-thawed by a standard protocol: before freezing, computer-assisted sperm analysis of motility and morphometry were performed; after thawing, motility analysis was pe...

Recent analysis and synthetic examples have shown that many prestack depth migration methods produce non-flat image gathers containing spurious events, even when provided with a kinematically correct migration velocity field, if this velocity field is highly refractive. This pathology occurs in all migration methods which produce partial images as independent migrations of data bins. Shot-geoph...

Regarding low fertilization rate of Barbus sharpeyi, one of the main Barbus species in south of Iran, saline activator solutions (SAS 1 and 2) were used for increasing of sperm activation and its sperm quality indices were assessed by using Image J software as a fish sperm adapted tools. SAS 1 (45mM NaCl, 5mM KCl, 30mM Tris, 188±2.3 mosmol/kg) and SAS 2 (50mM NaCl, 30mM KCl, 30mM Tris, 189±1.7 ...

Background Varicocele (VCL) is characterized by a progressive disorder which is defined by tortuosity of the pampiniform plexus veins. Although elevated oxidative stress, diminished endocrine status and severe inflammation are considered as main reasons for VCL-induced apoptosis, the role of estrogen receptors, testicular aromatization and proto-oncogenes under these conditions are remained unk...

An Apollonian configuration of circles is a collection of circles in the plane with disjoint interiors such that the complement of the interiors of the circles consists of curvilinear triangles. One well studied method of forming an Apollonian configuration is to start with three mutually tangent circles and fill a curvilinear triangle with a new circle, then repeat with each newly created curv...