Results 21 to 30 of about 850,072 (303)
Exploring Hybrid H-bi-Ideals in Hemirings: Characterizations and Applications in Decision Making
Mathematics, 2023 The concept of the hybrid structure, as an extension of both soft sets and fuzzy sets, has gained significant attention in various mathematical and decision-making domains.
Asmat Hadi +5 more
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Real homotopy theory of semi-algebraic sets [PDF]
Algebraic & Geometric Topology, 2011 We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of "semi-algebraic differential forms" in a functorial way. This algebra encodes the real homotopy type of the semi-algebraic set in the spirit of the DeRham algebra of differential forms on ...
Hardt, Robert +3 more
openaire +3 more sources
A Nearly Optimal Algorithm for Deciding Connectivity Queries in Smooth and Bounded Real Algebraic Sets [PDF]
Journal of the ACM, 2013 A roadmap for a semi-algebraic set S is a curve which has a non-empty and connected intersection with all connected components of S. Hence, this kind of object, introduced by Canny, can be used to answer connectivity queries (with applications, for ...
M. S. E. Din, É. Schost
semanticscholar +1 more source
Temporal Multimodal Data-Processing Algorithms Based on Algebraic System of Aggregates
Algorithms, 2023 In many tasks related to an object’s observation or real-time monitoring, the gathering of temporal multimodal data is required. Such data sets are semantically connected as they reflect different aspects of the same object.
Andreas Pester +3 more
doaj +1 more source
On singularities of real algebraic sets and applications to kinematics
Open Mathematics, 2020 We address the question of identifying non-smooth points in Vℝ(I){{\bf{V}}}_{{\mathbb{R}}}(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven.
Diesse Marc
doaj +1 more source
Symmetry and Self-Duality in Categories of Probabilistic Models [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite ...
Alexander Wilce
doaj +1 more source
Mathematics, 2022 The soft set is one of the key mathematical tools for uncertainty description and has many applications in real-world decision-making problems. However, most of the time, these decision-making problems involve less important and redundant parameters ...
Abid Khan +4 more
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A Comparative Study of Machine Learning Methods for Persistence Diagrams
Frontiers in Artificial Intelligence, 2021 Many and varied methods currently exist for featurization, which is the process of mapping persistence diagrams to Euclidean space, with the goal of maximally preserving structure.
Danielle Barnes +4 more
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Deciding Cuspidality of Manipulators through Computer Algebra and Algorithms in Real Algebraic Geometry [PDF]
International Symposium on Symbolic and Algebraic Computation, 2022 Cuspidal robots are robots with at least two inverse kinematic solutions that can be connected by a singularity-free path. Deciding the cuspidality of generic 3R robots has been studied in the past, but extending the study to six-degree-of-freedom robots
D. Chablat +4 more
semanticscholar +1 more source
Algebraically constructible functions [PDF]
, 1996 An algebraic version of Kashiwara and Schapira's calculus of constructible functions is used to describe local topological properties of real algebraic sets, including Akbulut and King's numerical conditions for a stratified set of dimension three to be ...
McCrory, Clint, Parusinski, Adam
core +4 more sources