[图书][B] Engineering rock mechanics: an introduction to the principles
JA Hudson, JP Harrison - 2000 - books.google.com
Engineering rock mechanics is the discipline used to design structures built in rock. These
structures encompass building foundations, dams, slopes, shafts, tunnels, caverns …
structures encompass building foundations, dams, slopes, shafts, tunnels, caverns …
Discrete differential forms for computational modeling
The emergence of computers as an essential tool in scientific research has shaken the very
foundations of differential modeling. Indeed, the deeply-rooted abstraction of smoothness, or …
foundations of differential modeling. Indeed, the deeply-rooted abstraction of smoothness, or …
[图书][B] Introduction to quantum groups
M Chaichian, A Demichev - 1996 - books.google.com
In the past decade there has been an extemely rapid growth in the interest and development
of quantum group theory. This book provides students and researchers with a practical …
of quantum group theory. This book provides students and researchers with a practical …
Homologies of path complexes and digraphs
A Grigor'yan, Y Lin, Y Muranov, ST Yau - arXiv preprint arXiv:1207.2834, 2012 - arxiv.org
In this paper we introduce a path complex that can be regarded as a generalization of the
notion of a simplicial complex. The main motivation for considering path complexes comes …
notion of a simplicial complex. The main motivation for considering path complexes comes …
The small scale structure of space-time: a bibliographical review
PE Gibbs - arXiv preprint hep-th/9506171, 1995 - arxiv.org
arXiv:hep-th/9506171v2 26 Jan 1996 Page 1 arXiv:hep-th/9506171v2 26 Jan 1996 June 8th
1995 hep-th/9506171 PEG-06-95 The Small Scale Structure of Space-Time: A Bibliographical …
1995 hep-th/9506171 PEG-06-95 The Small Scale Structure of Space-Time: A Bibliographical …
Cohomology of digraphs and (undirected) graphs
A Grigor'yan, Y Lin, Y Muranov, ST Yau - Asian Journal of …, 2015 - intlpress.com
We construct a cohomology theory on a category of finite digraphs (directed graphs), which
is based on the universal calculus on the algebra of functions on the vertices of the digraph …
is based on the universal calculus on the algebra of functions on the vertices of the digraph …
[HTML][HTML] Aspects of topological approaches for data science
We establish a new theory which unifies various aspects of topological approaches for data
science, by being applicable both to point cloud data and to graph data, including networks …
science, by being applicable both to point cloud data and to graph data, including networks …
[PDF][PDF] Homologies of digraphs and Künneth formulas
A Grigor'yan, Y Muranov, ST Yau - Communications in Analysis and …, 2017 - intlpress.com
Homologies of digraphs and Künneth formulas Page 1 Communications in Analysis and
Geometry Volume 25, Number 5, 969–1018, 2017 Homologies of digraphs and Künneth …
Geometry Volume 25, Number 5, 969–1018, 2017 Homologies of digraphs and Künneth …
Path complexes and their homologies
AA Grigor'yan, Y Lin, YV Muranov, ST Yau - Journal of Mathematical …, 2020 - Springer
We introduce the notions of a path complex and its homologies. Particular cases of path
homologies are simplicial homologies and digraph homologies. We state and prove some …
homologies are simplicial homologies and digraph homologies. We state and prove some …
Graphs associated with simplicial complexes
A Grigor'yan, YV Muranov, ST Yau - 2014 - projecteuclid.org
The cohomology of digraphs was introduced for the first time by Dimakis and Müller-
Hoissen. Their algebraic definition is based on a differential calculus on an algebra of …
Hoissen. Their algebraic definition is based on a differential calculus on an algebra of …