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Selecting AI-enabled music learning technologies in higher education using AHP and TOPSIS. [PDF]

Sci Rep
Xu M.
europepmc   +1 more source

An atlas of exposome-phenome associations in health and disease risk. [PDF]

Nat Med
Patel CJ, Ioannidis JPA, Manrai AK.
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Artificial Intelligence and Circadian Thresholds for Stress Detection in Dairy Cattle. [PDF]

Sensors (Basel)
Rivera SL, Rivera L, Benavides H, Fernández Y.   +3 more
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From deconstruction to reconstruction: A search for natural kinds in developmental psychopathology. [PDF]

J Psychopathol Clin Sci
Brotman MA, Haller SP, Pine DS, Fox NA.
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Implementation of Integrative Nursing for Patients With Cancer Receiving Inpatient Care: Protocol for a Convergent Parallel Mixed Methods Evaluation.

JMIR Res Protoc
Raiber L, Stock-Schröer B, Thiele J, Kramer K.   +3 more
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Derived and Triangulated Categories

2009
A category is said to be small if the classes of both its objects and its morphisms are sets. A category that is not small is said to be large. A category ℭ is locally small if for any pair of objects A and B of ℭ the class Homℭ(A,B) is a set. Many of the categories we will consider in this book (the categories of sets, groups, rings, modules over a ...
Joseph Lipman, Mitsuyasu Hashimoto
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Derived Homology of Triangulated Categories: A Canonical Abelianization

This paper introduces a novel theory of derived homology for triangulated categories, offering a systematic approach to extracting abelian information from these highly structured, yet non-abelian, algebraic settings. While triangulated categories provide a powerful framework for studying derived functors in various contexts such as algebraic geometry,
Revista, Zen, MATH, 10
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Abelian Signatures of Triangulated Categories: Derived Reconstruction Theorems

This paper introduces the concept of "abelian signatures" for triangulated categories as novel invariants aimed at providing deeper insights into their structure and enabling derived reconstruction. Triangulated categories, fundamental in modern algebraic geometry, representation theory, and topology, often conceal the underlying geometric or algebraic
Revista, Zen, MATH, 10
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From Exact Sequences to Derived Invariants of Triangulated Categories

Triangulated categories serve as a cornerstone in modern mathematics, providing a powerful framework for studying various phenomena across algebraic geometry, representation theory, and topology. Central to their structure are exact sequences, generalized as distinguished triangles, which encode fundamental relationships between objects.
Revista, Zen, MATH, 10
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The Derived Core of a Triangulated Category: Reconstructing Abelian Structures

Triangulated categories have emerged as a fundamental framework in modern algebra, algebraic geometry, and representation theory, providing a flexible setting to study derived functors and homological invariants. However, their inherent lack of kernels and cokernels often obscures the underlying abelian structures that are crucial for many applications.
Revista, Zen, MATH, 10
openaire   +1 more source