In subject area: Computer Science A persistence service in computer science refers to a generic service designed for technically embedded systems. It is responsible for storing materials over a long period of time and retrieving them upon request when the application system restarts. It operates on ...
We highlight the definition of the implication operation within this construction, as well as interpret its meaning within persistent homology, multidimensional persistence and zig-zag persistence.doi:10.48550/arXiv.1409.3762João Pita CostaPrimož Škraba...
we investigate the local and global geometric properties of spaces of persistence diagrams. In order to do this, we construct a family of functors{\mathcal {D}}_p,1\le p \le \infty, that assign, to each metric pair (X,A), a pointed metric space{\mathcal {...
The field of mathematical morphology offers well-studied techniques for image processing and is applicable for studies ranging from materials science to ecological pattern formation. In this work, we view morphological operations through the lens of persistent homology, a tool at the heart of the fiel...
5000–3800 cal bc) in the Lower Rhine–Meuse area (the Netherlands) and its implications for human–animal interactions in relation to the Neolithisation process. J. Archaeol. Sci. Rep. 36, 102812 (2021). Google Scholar Dreslerová, D. et al. Seeking the meaning of a unique mountain ...
(\beta ^j_1\), meaning that gender gaps in tertiary educational choices are smaller within the FSU group, especially in STEM or pink collar fields that are traditionally very segregated. In view of the persistence of the “Soviet” scientific culture, we expect\(\beta ^{j}_2\)and\(\...
For connected nodes lying behind or in front of the wetting front, the internodal hydraulic conductivity was calculated using the arithmetic average ( y = 0.0) of the unsaturated hydraulic conductivities of the connected nodes. A computer program was developed in FORTRAN-77 language to set up and...
analyze, and report full and complete statistics on the condition of education in the United States; conduct and publish reports and specialized analyses of the meaning and significance of such statistics; assist state and local education agencies in improving their statistical systems; and review and...
Ms. Zhou: He started to understand the meaning of words when he was four. Q: Did your family and you worry about his condition before he started speaking? Ms. Zhou: Of course, we were worried, but our worries were reduced by our friends’ encouragement: “Late speaking is a common thi...
The stochastic trajectories x(t) are assumed to be continuous but non-smooth (the method in fact also applies to compact and not continuous processes, such as 1d Levy stable processes of index α>1 as discussed above), mathematically meaning that ⟨x˙2⟩=∞ and physically corresponding ...