The chapter shows how the conformal model of Euclidean geometry is very useful for the specification and computation of the basic operations. All geometrical elements occurring in this problem have a natural representation in that model. When really trying to optimize the speed of the ray tracer, ...
A pinhole camera collects rays passing through a common 3D point and its image resembles what would be seen by human eyes. In contrast, a non-pinhole (mult
In generative design (GD), complex results are computer-generated beyond the scope of vision of a human designer only. The definition of a design can be changed by manually tweaking the input numbers and the model will update accordingly. It can also be partially or fully done by artificial ...
Chang’E 4 is the first mission to the far side of the Moon and consists of a lander, a rover, and a relay spacecraft. Lander and rover were launched at 18:23 UTC on December 7, 2018 and landed in the von Kármán crater at 02:26 UTC on January 3, 2019. Here we describe the...
It is widely accepted that a proper structural modularity degree of assembly processes in terms of mass customization has a positive effect on their efficiency because it, among other things, increases manufacturing flexibility and productivity
In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from the automorphism groups of main Cayley–Dickson algebras,
While his contributions in the field of mathematics have cemented his name as a leading scientist, Smale has also accumulated an incredible collection of mineral specimens over 50 years as a collector. We visited with him recently, and as he approaches age 95, he declared he has another ten ...
This is more like a question than an issue. I'm working on offset-path: ray(), and the definition of contain is a little bit not clear enough to me. Per the spec: The used value of offset-distance is clamped so that the box is entirely c...
Molecular docking is a computational technique that predicts the binding affinity of ligands to receptor proteins. Although it has potential uses in nutraceutical research, it has developed into a formidable tool for drug development. Bioactive substances called nutraceuticals are present in food sources ...
where Ru/l denote the magnetic reluctance of the partial gap that is above/below the coil. Using the definition of the self-inductance L=Nϕ0/I and expanding the fractions to second order in zc yields L=2πμ0N2ra(ha2wa−zc22waha). (20) which appears in the text as Eq. (11...