Viewing in OpenGL: Today we will discuss how viewing and perspective transformations are handled for 3-dimensional scenes. In OpenGL, and most similar graphics systems, the process involves the following basic steps, of which the perspective transformation is just one component. We assume that all objects are initially represented relative to a standard 3-dimensional coordinate frame, in what a...

Personal reputations are an important factor in trust. Prior work has focused on how favorable reputations lead to higher trust than unfavorable ones. In this paper, I examine the effects of other reputation dimensions on trust, specifically reputation breadth (how widespread the reputation is) and reputation consensus (how well agreed upon the reputation is). In two studies, I present particip...

The purpose of this paper is to demonstrate a proof of Heron’s formula using scissors congruences in dimension 4. Our motivations come from various conversations in various places. So we will relate the personal details before the technical details. In [4], Carter and Champanerkar indicated a higher dimensional interpretation of ∫ 1 0 x n dx as the (n+ 1)-dimensional volume of a pyramidal struc...

Any three-dimensional wire-frame object constructed out of parallelograms can be recovered from a single perspective two-dimensional image. A procedure for performing the recovery is given.

Process and product measurement is one of the key topics in the Software Engineering field. There already exists a significant number of one-dimensional models of performance, which integrate all individual measurements into a single performance index. However, these types of models are too over-simplified to adequately reflect the multi-dimensional nature of performance. Similarly, one-dimensi...

In past decades, high-entropy (HE) materials, containing five or more elements with approximately equal atomic ratio, are extensively investigated due to their desirable properties in a series of applications. Recently, HE two-dimensional (2D) materials have become promising which not only endow the advantages from bulk form but also exhibit unusual 2D features. So far, transition metal carbide...