. We draw arrows between two sets whenever one is a subset of the other. These arrows satisfy the axioms of a category: there is an identity arrow for every object (every set is its own subset) and arrows compose (inclusion is transitive). Not every pair of objects is connected by an ...
Positivity of Schubert structure constants has been a topic of interest in the study of (quantum) Schubert calculus [1,2,5,11,30,42]. The above-mentioned formulas that we derive are positive in the appropriate sense (see Corollaries4.20and5.8). There have also been studies on the powers o...
, is just a special case of embeddings of structures, i.e. it is an embedding of \(\{\le \}\) -structures. let \(i : {\mathbb {p}} \rightarrow {\mathbb {p}}'\) be an embedding of posets. \(y \in {\mathbb {p}}'\) is an upper bound of i if \(\forall x \in {...
Unified Theory of Concrete Structures develops an integrated theory that encompasses the various stress states experienced by both RC & PC structures under the various loading conditions of bending, axial load, shear and torsion. Upon synthesis, the new rational theories replace the many empirical for...
(betweenness centrality), etc. Other network measures quantify medium scale structures, for example, identifying social cliques (modularity) and examining interactions with friends of friends (clustering coefficient and triads). Finally, at the group level, network measures can provide information, for ...
PDF 引用 收藏 共1个版本 开学季特惠,9月3日-11月30日,专业版用户每周AI豆3倍膨胀,快来领取吧! 摘要原文 A Stiefel manifold of the compact type is often encountered in many fields of engineering including, signal and image processing, machine learning, numerical optimization and others. The ...
Techniques based on the method of modal expansions, the Rayleigh-Stevenson expansion in inverse powers of the wavelength, and also the method of moments solution of integral equations are essentially restricted to the analysis of electromagnetic radiating structures which are small in terms of the wave...
Tensegrity structures were originally conceived as manmade systems of isolated components of two kinds: stiff parts (bars) that could bear compression with little distortion, and taut or prestressed parts (cables) attached to them that either hold the stiff elements from moving or additionally compres...
Tourkine, On the null origin of the ambitwistor string, JHEP 11 (2016) 036 [arXiv:1606.05636] [INSPIRE]. Article ADS MathSciNet Google Scholar E. Boffo and P. Schupp, Deformed graded Poisson structures, Generalized Geometry and Supergravity, JHEP 01 (2020) 007 [arXiv:1903.09112] [...
In defining sets this way it is natural to make a distinction between set expressions, i.e., sets, terms etc., and propositional expressions, i.e., propositions, formulas etc. But if we accept more open definitions this does not seem necessary, and for reasons of simplicity we will just...