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Categorical Structure of Closure Operators with Applications to Topology, Algebra and Mathematics and its Applications,

1995
Offers an extensive investigation of the theory of closure operators in different areas of mathematics, including (but not limited to) algebra, topology, combinatorics, etc. The closure operators are used to describe relevant concepts and properties as epimorphisms, injectivity, compactness, (dis)connectedness, torsion theories, factoriaztion systems ...
DIKRANJAN, Dikran, THOLEN W.
openaire   +1 more source

Scalable optical learning operator

Nature Computational Science, 2021
Uğur Teğin   +2 more
exaly  

Hinge Algebra: Reclassifying 0, +1, and −1 as Operators to Preserve Information at Mathematical Boundaries

Classical algebra treats 0, +1, and −1 as ordinary numbers, leading to destructive annihilation at 0 and trivial identity/reflection roles for ±1. This work introduces Hinge Algebra, a framework where 0, +1, and −1 are reclassified as operators:   0 = Pivot hinge (non-erasing boundary, preserves pre-zero information),   +1 = Preserve hinge ...
openaire   +1 more source

OSQP: an operator splitting solver for quadratic programs

Mathematical Programming Computation, 2020
Bartolomeo Stellato   +2 more
exaly  

Deep transfer operator learning for partial differential equations under conditional shift

Nature Machine Intelligence, 2022
Somdatta Goswami   +2 more
exaly  

Operator Spreading in Random Unitary Circuits

Physical Review X, 2018
Adam Nahum, Sagar Vijay
exaly  

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