例句與造句

1. Persistent homology is visualized through a barcode or persistence diagram.
2. Persistent homology has been applied to many types of data across many fields.
3. It is evident to mathematicians that persistent homology is closely related to spectral sequences.
4. The main tool is persistent homology, an adaptation of homology to point cloud data.
5. To find the persistent homology of a space, the space must first be represented as a simplicial complex.
6. It's difficult to find persistent homology in a sentence. 用persistent homology造句挺難的
7. Finding techniques to robustly calculate homology using various triangulation strategies over multiple length scales is the topic of persistent homology.
8. The main insight of persistent homology is that we can use the information obtained from all values of a parameter.
9. This theorem allows us to uniquely represent the persistent homology of a filtered simplicial complex with a barcode or persistence diagram.
10. "' Persistent homology "'is a method for computing topological features of a space at different spatial resolutions.
11. A MATLAB toolbox for computing persistent homology, Plex ( Vin de Silva, Gunnar Carlsson ), is available at this site.
12. In collaboration with others, he has demonstrated the utility of both persistent homology and the Mapper methodology in a series of papers.
13. An ongoing work by Carlsson et al . is trying to give geometric interpretation of persistent homology, which might provide insights on how to combine machine learning theory with topological data analysis.
14. Computation of persistent homology ( Edelsbrunner et al . 2002 Robins, 1999 ) involves analysis of homology at different resolutions, registering homology classes ( holes ) that persist as the resolution is changed.