In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.

Approximate projection methods are useful computational tools for solving the equations of timedependent incompressible flow. In this report we will present a new discretization of the approximate projection in an approximate projection method. The discretizations of divergence and gradient will be identical to those in existing approximate projection methodology using cell-centered values of p...

We present a classification-based high quality rendering method for large scenes with point-based models. Each model is represented by a uniformly sized point hierarchy. All the points at the same resolution in the hierarchy share the same splat radius, and the splat radius ratio between any two neighboring resolutions are the same. We use this data structure to minimize the number of rendering...

There are two motivations for studying the question whether X has the projection property. Firstly, Arrow's \dictator theorem" states that the only maps of a product X A to X with certain properties are the projections (see A], PRS]). Secondly, the projection property is closely related to the xed point property (see C]). For a detailed discussion of the projection property, its background and ...

In this paper, we study the properties of the metric projection operator (the nearest point projection operator) and its continuity. Then we use it to solve variational inequalities in general Banach spaces and to approximate the solutions in uniformly convex and uniformly smooth Banach spaces.

In this paper, we prove that for a unital commutative and finitely generated ring A, the group G = ELn(A) has a fixed point property for affine isometric actions on B if n ≥ 4. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H (G,B) from bounded to usual cohomology is injective, where G and B are same as in ...

This article presents examples of creating a projection point in space onto the plane discipline "Higher Mathematics" and "Engineering Computer Graphics" plane.

Micro, Small, and Medium Enterprises (MSMEs) have a very important part can become the backbone of economy in Indonesia also one things that should be given great attention. Break Event Point (BEP) is condition where amount income equal to costs sacrificed, or situation business does not make profit suffer loss. Profit projection plan target an institution over period time. The purpose this stu...