Results 31 to 40 of about 2,723,976 (141)
Color and Timbre Gestures: An Approach with Bicategories and Bigroupoids
Mathematics, 2022 White light can be decomposed into different colors, and a complex sound wave can be decomposed into its partials. While the physics behind transverse and longitudinal waves is quite different and several theories have been developed to investigate the ...
Maria Mannone +3 more
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Category theory : definitions and examples [PDF]
, 1990 Category theory was invented as an abstract language for describing certain structures and constructions which repeatedly occur in many branches of mathematics, such as topology, algebra, and logic.
Srinivas, Yellamraju V.
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The Structure and Organizations of ICHD-3 Differential Diagnoses through DiffNet: A Pilot Study
Diagnostics, 2022 Differential diagnosis is fundamental to medicine. Using DiffNet, a differential diagnosis generator, as a model, we studied the structure and organization of how collections of diagnoses (i.e., sets of diagnoses) are related in the ICHD3.
Pengfei Zhang
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Rigidification of algebras over multi-sorted theories
, 2009 We define the notion of a multi-sorted algebraic theory, which is a generalization of an algebraic theory in which the objects are of different "sorts." We prove a rigidification result for simplicial algebras over these theories, showing that there is a
Adámek +13 more
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Categorical representation learning and RG flow operators for algorithmic classifiers
Machine Learning: Science and Technology, 2023 Following the earlier formalism of the categorical representation learning, we discuss the construction of the ‘RG-flow-based categorifier’. Borrowing ideas from the theory of renormalization group (RG) flows in quantum field theory, holographic duality,
Artan Sheshmani +3 more
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On the (co)homology theory of index category
Journal of the Egyptian Mathematical Society, 2011 In the present work the different types of regular index categories are given. The related cohomology groups of some of these categories are studied. We give some properties of index category related with monoid and algebra over it.
Yasien Ghallab Gouda
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Derived categories of NDG categories [PDF]
arXiv, 2020 We study $N$-differential graded ($NDG$) categories and their the derived categories. First, we introduce $N$-differential modules over an $NDG$ category $\mathcal{A}$. Then we show that the category $\mathsf{C}_{Ndg}(\mathcal{A})$ of $N$-differential $\mathcal{A}$-modules is a Frobenius category, and that its homotopy category $\mathsf{K}_{Ndg ...
arxiv
, 2023 In category theory, the use of string diagrams is well known to aid in the intuitive understanding of certain concepts, particularly when dealing with adjunctions and monoidal categories.
Nakahira, Kenji
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Introduction: Researching Queer Death
Whatever, 2021 The present article serves as an introduction to the dossier What do we talk about when we talk about queer death?, edited by M. Petricola. This introduction briefly interrogates the premises, scope, and objectives of Queer Death Studies (QDS) in such a ...
Mattia Petricola
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Fundamentals of soft category theory
Bulletin of Computational Applied Mathematics, 2018 The soft category theory offers a way to study soft theories developed so far more generally. The main purpose of this paper is to introduce the basic algebraic operations in soft categories, and for that we introduce some algebraic operations, like ...
Sujit Kumar Sardar +2 more
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