Results 21 to 30 of about 27,994,628 (385)
A numerical scheme is presented to design a lattice support for metallic components additively built via laser powder bed fusion. Results show that thermal‐induced distortion can be respectively reduced by 69%, 58%, and 50% in comparison to a uniform lattice, a fully solid support, and a truss‐based lattice support.
Jiazheng Hu+2 more
wiley +1 more source
Topology-based stereochemistry representation [PDF]
We propose to use combinarorial maps as a non-geometric computer representation of convex polyhedral and polygonal stereogenic entities. 'This model is simple, uniform, and general. It allows to represent any relative spatial arrangement of atoms (stereogenic entities, molecular shapes, etc.).
Christophe Fiorio+4 more
openaire +4 more sources
Topological metamaterials based on polariton rings [PDF]
Chern insulator phase is shown to emerge in two-dimensional arrays of polariton rings where time-reversal symmetry is broken due to the application of an out-of-plane magnetic field. The interplay of Zeeman splitting with the photonic analog of spin-orbit coupling (TE-TM splitting) inherently present in this system leads to the appearance of synthetic ...
Ivan Iorsh+6 more
openaire +3 more sources
Functorial topologies and finite-index subgroups of abelian groups [PDF]
In the general context of functorial topologies, we prove that in the lattice of all group topologies on an abelian group, the infimum between the Bohr topology and the natural topology is the profinite topology. The profinite topology and its connection
Bruno, Anna Giordano, Dikranjan, Dikran
core +2 more sources
Cardinalities of topologies with small base
Let T be the family of open subsets of a topological space (not necessarily Hausdorff or even T_0). We prove that if T has a base of cardinality <= mu, lambda <= mu < 2^lambda, lambda strong limit of cofinality aleph_0, then T has cardinality <= mu or >= 2^lambda. This is our main conclusion.
Saharon Shelah, Saharon Shelah
openaire +3 more sources
Topology-based Sparsification of Graph Annotations [PDF]
AbstractSince the amount of published biological sequencing data is growing exponentially, efficient methods for storing and indexing this data are more needed than ever to truly benefit from this invaluable resource for biomedical research. Labeled de Bruijn graphs are a frequently-used approach for representing large sets of sequencing data.
Gunnar Rätsch+11 more
openaire +7 more sources
Separation functions and mild topologies
Given MM and NN Hausdorff topological spaces, we study topologies on the space C0(M;N){C}^{0}\left(M;\hspace{0.33em}N) of continuous maps f:M→Nf:M\to N. We review two classical topologies, the “strong” and the “weak” topology. We propose a definition of “
Mennucci Andrea C. G.
doaj +1 more source
Evaluation of RNA secondary structure prediction for both base-pairing and topology
Graphical abstractAbstractSecondary structures of RNAs are crucial to the understanding of their tertiary structures and functions. At present, many theoretical methods are widely used to predict RNA secondary structures. The performance of these methods
Yunjie Zhao+3 more
semanticscholar +1 more source
Topology Based Object Tracking [PDF]
A model for tracking objects whose topological properties change over time is proposed. Such changes include the splitting of an object into multiple objects or the merging of multiple objects into a single object. The proposed model employs a novel formulation of the tracking problem in terms of homology theory whereby 0-dimensional homology classes ...
openaire +4 more sources
A theory of bundles over posets [PDF]
In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of the manifold can be computed in terms of the base poset.
Ezio Vasselli+13 more
core +2 more sources