In this article we study the digital homology groups of digital images which are based on the singular homology groups of topological spaces in algebraic topology. Specifically, we define a digitally standard n-simplex, a digitally singular nsimplex, and the digital homology groups of digital images with k -adjacency relations. We then construct a covariant functor from a category of digital im...

In the last decade, there has been a growth in, what we call, digitally mediated workplaces. A digitally mediated workplace is one where interactions between stakeholders are primarily managed by proprietary, algorithmically managed digital platform. The replacement of the relationships between the stakeholders by the platform is a key feature of these workplaces, and is a contributing factor t...

A novel varactor using single PMOS is proposed. By utilizing the capacitance difference between saturation and linear region, the proposed varactor can improve frequency resolution of a LC-tank based digitally controlled oscillator without introducing extra fixed loading capacitance. A digitally controlled oscillator with the proposed varactor is designed using 0.13μm CMOS technology for verifi...

The aim of this study was to evaluate the accuracy of approximal caries diagnosis from digitized radiographs and digitally modified radiographic images, compared with conventional radiography. Twenty bitewing radiographs were digitized and from the digitized radiographs mirror-images were produced, resulting in 40 digital images. The caries progress at three approximal surfaces was graded by 12...

Recent work of Brlek et al. gives a characterization of digitally convex polyominoes using combinatorics on words. From this work, we derive a combinatorial symbolic description of digitally convex polyominoes and use it to analyze their limit properties and build a uniform sampler. Experimentally, our sampler shows a limit shape for large digitally convex polyominoes. Introduction In discrete ...

In the single j shell there is a two to one relationship between the spectra of certain even-even and neighbouring even-odd (or odd-even) nuclei e.g. the calculated energy levels of J=0+ states in 44Ti are at twice the energies of corresponding levels in 43Ti(43Sc) with J=j=7/2. Here an approximate extension of the relationship is made by making a truncation in seniority e.g. for 46Ti and 45Sc ...

A detailed discussion of the point in polygon problem for arbitrary polygons is given. Two concepts for solving this problem are known in literature: the even–odd rule and the winding number, the former leading to ray-crossing, the latter to angle summation algorithms. First we show by mathematical means that both concepts are very closely related, thereby developing a first version of an algor...

This paper presents an ultra low power clock source using a 1μW temperature compensated on-chip digitally controlled oscillator (OscCMP) and a 100nW uncompensated oscillator (OscUCMP) with respective temperature stabilities of 5ppm/C and 1.67%/C. A fast locking circuit re-locks OscUCMP to OscCMP often enough to achieve a high effective temperature stability. Measurements of a 130nm CMOS chip sh...

Although intestinal obstruction due to gallstones is no longer a medical curiosity (see appended note) a correct pre-operative diagnosis of this can rarely be established on sound grounds. The following instance is noteworthy in that such a diagnosis was made and that, during a single episode of illness, several gallstones were vomited, one segment of a large stone-produced small bowel obstruct...