We have described a number of transformations by mapping the cone signal vector , formed to opponent space achromatic red-green and yellow-blue . Two new transformations, are proposed, based on CIE 2006 spectral luminous efficiency function, Hurvich's responses, without with constraints, respectively. is better than in terms best fit both improved previously proposed ones. Finally, we discuss n...

The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension positive additive mapping, defined on cone $E^+$ Riesz space $E$ taking values in an Archimedean $F$, to entire $E$. We prove that, if has principal projection property $F$ is Dedekind $\sigma$-complete then for every $e \in E^+$ finitely $F$-valued measure Boolean algebra $\mathfrak{F}_e$ fragments $e$...

In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...

in this paper, we first present a new important property for bouligand tangent cone (contingent cone) of a star-shaped set. we then establish optimality conditions for pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.

The produced electric and magnetic fields due to lightning strikes to mountainous ground are determined in this paper. For the sake of simplicity a cone-shaped ground with finite conductivity is assumed to represent a natural nonflat ground. By this assumption, we deal with an axillary symmetrical structure so we use the cylindrical 2D-FDTD to save the simulation memory and time, dramatically. ...

In this paper, we introduce a cone generalized semi-cyclicφ−contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.

This paper reviews the latest developments of displacement mapping algorithms implemented on the vertex, geometry, and fragment shaders of graphics cards. Displacement mapping algorithms are classified as per-vertex and per-pixel methods. Per-pixel approaches are further categorized as safe algorithms that aim at correct solutions in all cases, to unsafe techniques that may fail in extreme case...