We study the problem of testing a simple null hypothesis on multivariate normal mean vector against smooth or piecewise smooth cone alternatives. We show that the mixture weights of the  distribution of the likelihood ratio test can be characterized as mixed volumes of the cone and its dual. The weights can be calculated by integration involving the second fundamental form on the boundary of t...

To investigate how rod signals influence hue perception and how this influence can be incorporated into opponent-color models, we measured the shift of unique-hue loci under dark-adapted conditions compared with cone-plateau conditions. Rod signals produced shifts of all spectral unique hues (blue, green, yellow) but in a pattern that was inconsistent with simple additive combinations of rod an...

Two cone mechanisms are identifiable in the strongly yellow light-adapted electroretinogram (ERG) of the arterially perfused cat eye. One has its maximum spectral sensitivity near 555 nm; the other has its maximum near 450 nm. The former cone system produces a much larger signal with characteristics of a typical cone or inhibitory ERG. The latter cone system produces a small, saturable signal (...

For a closed cone C in R, the completely positive cone of C is the convex cone KC in S generated by {uu : u ∈ C}. Such a cone arises, for example, in the conic LP reformulation of a nonconvex quadratic minimization problem over an arbitrary set with linear and binary constraints. Motivated by the useful and desirable properties of the nonnegative orthant and the positive semidefinite cone (and ...

For a closed cone C in R, the completely positive cone of C is the convex cone KC in S generated by {uu : u ∈ C}. Such a cone arises, for example, in the conic LP reformulation of a nonconvex quadratic minimization problem over an arbitrary set with linear and binary constraints. Motivated by the useful and desirable properties of the nonnegative orthant and the positive semidefinite cone (and ...

in this paper, we prove the existence of fixed point for chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. the main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.

Asymmetric Ca(2+) elevations across the axonal growth cone mediate its turning responses to attractive and repulsive guidance cues. Here we show that clathrin-mediated endocytosis acts downstream of Ca(2+) signals as driving machinery for growth cone turning. In dorsal root ganglion neurons, the formation of clathrin-coated pits is facilitated asymmetrically across the growth cone by a directio...

We study the problem of testing a simple null hypothesis on multivariate normal mean vector against smooth or piecewise smooth cone alternatives. We show that the mixture weights of the 2 distribution of the likelihood ratio test can be characterized as mixed volumes of the cone and its dual. The weights can be calculated by integration involving the second fundamental form on the boundary of t...

Recently, Cho et al. [Y. J. Cho, R. Saadati, S. H. Wang, Common xed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. In this paper, we prove some new xed point and common xed point theorems by using the distance in ordered con...

The cone electroretinograms (ERGs) to different chromatic stimuli were recorded in myopic subjects. Ganzfeld color flashes under bright white background illumination were used to elicit short-wavelength-sensitive (S-), and mixed long-(L-) and middle-(M-) wavelength-sensitive cone ERGs. Nineteen subjects with mild myopia (between -3.0 and -6.0 D), 12 subjects with high myopia (greater than -6.25...