We present a new barrier-based method of constructing smoothing approximations for the Euclidean projector onto closed convex cones. These smoothing approximations are used in a smoothing proximal point algorithm to solve monotone nonlinear complementarity problems (NCPs) over a convex cones via the normal map equation. The smoothing approximations allow for the solution of the smoothed normal ...

Introduction Normal color vision depends on the relative rates at which photons are absorbed in three types of retinal cones, which have peak sensitivities in different regions of the spectrum. The shortwave (S), middle-wave (M) and long-wave (L) cones are maximally sensitive near 430, 530 and 560 nm respectively. However, some 6% of men exhibit a variant form of color vision called deuteranoma...

We measured for six male observers, the psychometric functions for the detection of two simultaneously presented points of light. The test stimuli were two 1 min point sources separated by 17 min arc, and pulsed for 0.5 msec. The stimuli varied in wavelength from 500 to 620 nm. The psychometric functions were fit with a model that assumes ideal detection and the following properties: (1) Poisso...

The main goal of this study is to propose a mathematical model describing paths of the axon growth cones and differences in the behavior of normal and mutant axons. We introduce a probabilistic model for axon growing, such that each family of axons is described as an ensemble of trajectories of a continuous time random walk (CTRW) model under different parameters in the case of normal and mutan...

The main goal of this study is to propose a mathematical model describing paths of the axon growth cones and differences in the behavior of normal and mutant axons. We introduce a probabilistic model for axon growing, such that each family of axons is described as an ensemble of trajectories of a continuous time random walk (CTRW) model under different parameters in the case of normal and mutan...

We show that the pseudoeffective cone of divisors $\overline{\text{Eff}}^1(\overline{\mathcal{M}}_{g,n})$ for $g\geq 2$ and $n\geq is not polyhedral by showing class fibre morphism forgetting one point forms an extremal ray dual nef curves $\overline{\text{Nef}}_1(\overline{\mathcal{M}}_{g,n})$ at this polyhedral.

We give an example of a finitely presented group G with two non-π 1-equivalent asymptotic cones.