We construct graphs with n vertices of maximum degree 5 whose every straight-line drawing in the plane uses edges of at least n1/6−o(1) distinct slopes. A straight-line drawing of a graph G = (V (G), E(G)) is a layout of G in the plane such that the vertices are represented by distinct points, the edges are represented by (possibly crossing) line segments connecting the corresponding point pair...

This study assessed spatial summation of first-order (luminance-defined) and second-order (contrast-defined) motion. Thresholds were measured for identifying the drift direction of 1c/deg., luminance-modulated and contrast-modulated dynamic noise drifting at temporal frequencies of 0.5, 2 and 8Hz. Image size varied from 0.125 degrees to 16 degrees . The effects of increasing image size on thres...

We give a theoretical lower bound for the slope of a Siegel modular cusp form that is as least as good as Eichler’s lower bound. In degrees n = 5, 6 and 7 we show that our new bound is strictly better. In the process we find the forms of smallest dyadic trace on the perfect core for ranks n 8. In degrees n = 5, 6 and 7 we settle the value of the generalized Hermite constant γ′ n introduced by B...

Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. More precisely, certain boundary slopes are detected by the sequence of degrees of the colored Jones polynomials. We verify this conjecture for adequate knots, a class that vastly generalizes that of alternating knots.

PURPOSE This study evaluated a variety of downhill slopes in an effort to determine the optimal slope for overspeed running. METHODS Thirteen NCAA Division III college athletes who participated in soccer, track, and football ran 40-yd (36.6-m) sprints, on downhill slopes of 2.1 degrees , 3.3 degrees , 4.7 degrees , 5.8 degrees , and 6.9 degrees in random order. All sprints were timed using th...

Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. According to the conjecture, certain boundary slopes are detected by the sequence of degrees of the colored Jones polynomials. We verify this conjecture for adequate knots, a class that vastly generalizes that of alternating knots.

At a given running speed, humans strongly prefer to use a stride frequency near their 'optimal' stride frequency that minimizes metabolic cost. Although there is no definitive explanation for why an optimal stride frequency exists, elastic energy usage has been implicated. Because the possibility for elastic energy storage and return may be impaired on slopes, we investigated whether and how th...

In this study the slopes of the QRS complex are evaluated for determination of the degree of myocardial damage in chronic chagasic patients. Previous studies have demonstrated the ability of the slope indices to reflect alterations in the conduction velocity of the cardiac impulse. Results obtained in the present study show that chronic chagasic patients have significantly flatter QRS slopes as...

abstract climate change and increase the temperature of the environmental importance of human behavior that is considered in recent years many studies have been devoted .objective of this study is to investigate trend and slope trend monthly of hdd with temperature threshold of 18. mean daily temperature of weather during the statistical period of 44 years (1962-2005) was provided from asfe zar...