Results 31 to 40 of about 399,672 (159)
, 2014 Quantity is the first category that Aristotle lists after substance. It has extraordinary epistemological clarity: "2+2=4" is the model of a self-evident and universally known truth. Continuous quantities such as the ratio of circumference to diameter of
Franklin, James
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Introduction to Gestural Similarity in Music. An Application of Category Theory to the Orchestra
, 2018 Mathematics, and more generally computational sciences, intervene in several aspects of music. Mathematics describes the acoustics of the sounds giving formal tools to physics, and the matter of music itself in terms of compositional structures and ...
Mannone, Maria
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Integrated and Differentiated Spaces of Triangular Fuzzy Numbers
, 2017 Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling.
Kirişci, Murat
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Brain functors: A mathematical model for intentional perception and action [PDF]
, 2016 Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunctions being the primary lens.
Ellerman, David
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Category theory of structural sets with application to mathematical modelling and systems analysis
Mathematical Modelling, 1986 AbstractThe extension of N. Bourbaki's structural sets theory is suggested as an effective method for mathematical modelling. Canonical morphisms are introduced for structures of given species. Structural sets and their canonical morphisms constitute the category of a given structure.
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From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology [PDF]
, 2018 Despite a long historical relationship between mathematics and music, the interest of mathematicians is a recent phenomenon. In contrast to statistical methods and signal-based approaches currently employed in MIR (Music Information Research), the research project described in this paper stresses the necessity of introducing a structural ...
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A Mathematical Framework of Semantic Communication based on Category Theory
While semantic communication (SemCom) has recently demonstrated great potential to enhance transmission efficiency and reliability by leveraging machine learning (ML) and knowledge base (KB), there is a lack of mathematical modeling to rigorously characterize SemCom system and quantify the performance gain obtained from ML and KB.
Hua, Shuheng +4 more
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, 2019 A quantum set is defined to be simply a set of nonzero finite-dimensional Hilbert spaces. Together with binary relations, essentially the quantum relations of Weaver, quantum sets form a dagger compact category. Functions between quantum sets are certain
Kornell, Andre
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Can Generative AI and ChatGPT Break Human Supremacy in Mathematics and Reshape Competence in Cognitive-Demanding Problem-Solving Tasks? [PDF]
J IntellKaya D, Yavuz S.
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