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We introduce the author-topic model, a generative model for documents that extends Latent Dirichlet Allocation (LDA; Blei, Ng, & Jordan, 2003) to include authorship information. Each author is associated with a multinomial distribution over topics an...
We give two new conditions on topological $k$-graphs that are equivalent to the Yeend's aperiodicity Condition (A). Each of the new conditions concerns finite paths rather than infinite. We use a specific example, resulting from a new construction of...
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Superconducting materials with a nontrivial band structure are potential candidates for topological superconductivity. Here, by combining muon-spin rotation and relaxation ($μ$SR) methods with theoretical calculations, we investigate the superconduc...
1 day ago · Wilson's 2026 NFL mock draft 7.0: Bills get aggressive and trade for top WR, keep Super Bowl window wide open Buffalo makes its move as four Ohio State players go in the top seven picks
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Why does it scale with Dexterity for damage, but have a Magic Wand icon at the top? Every other Dex scaling basic has a Bow icon at the top. Why is the range so short, for a class with like 6 passiv...
Thanks for your help! and I'm sorry, what I meant was a sequence in a topological space. I know the examples that you showed me exhibit a non-convergence sequence, but I don't quite see how that …
Sep 7, 2024 · Topological Markov chains: how does this computation of 'entropy' work? Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago
The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in identifying gapl...
Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous
Jan 22, 2018 · If a topological space is homeomorphic to a smooth manifold, then will it be a smooth manifold? Ask Question Asked 8 years, 1 month ago Modified 1 year, 3 months ago
The topological invariants of gapped time reversal invariant lattice superconductors are studied by mapping the superconducting mean field Hamiltonian to a Bloch Hamiltonian. There is a single $Z_2 $ invariant in two dimensions and four such invari...
The research in topological materials and meta-materials reached maturity and is now gradually entering the phase of practical applications and devices. However, scaling down the experimental demonstrations definitely presents a challenge. In this wo...
Mar 20, 2025 · Me and a friend has spend a lot of time recently pondering about topological spaces where every sequence is convergent, and we have made the following conjecture.
Sep 22, 2025 · B) If we want to define a measure directly on a topological space, the summation of an uncountable number of non-negative real numbers will become a difficulty. But I feel that my …
Apr 28, 2012 · A topological space is just a set with a topology defined on it. What 'a topology' is is a collection of subsets of your set which you have declared to be 'open'.