Results 1 to 10 of about 73,865 (284)

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations

Mathematics
In the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generalized.
Mingxing Sui, Quanyuan Chen
doaj   +1 more source

Statistical learning and mathematics knowledge: the case of arithmetic principles

Frontiers in Developmental Psychology
Statistical learning—an unconscious cognitive process used to extract regularities—is well-established as a fundamental mechanism underlying learning. Yet, despite the prominence of patterns in the number system and operations, little is known about the ...
Hyun Young Cho, Marina Vasilyeva, Elida V. Laski   +2 more
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Generalized (τ, σ)-L-Derivations in Rings

Mathematics
Let τ and σ:X⟶X be automorphisms of an arbitrary associative ring X, and let L be a prime ideal of X. The main objective of this article is to combine the notions of generalized L-derivations and (τ,σ)-L-derivations by introducing and analyzing a novel ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-omary, Khaled Aldwoah, Amer Alsulami, Muntasir Suhail   +5 more
doaj   +1 more source

Commutativity of Toeplitz Operators with Trigonometric Polynomial Symbols on Beurling Subspaces of Hardy–Sobolev Spaces

Mathematics
We investigate the commutativity of Toeplitz operators with trigonometric polynomial symbols on the Beurling subspaces zkHs2 of the Hardy–Sobolev spaces.
Omar Mossa Alsalhi
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Analyzing rescaling, discretization, and linearization in RNNs for neural system modeling. [PDF]

Front Comput Neurosci
Caruso M, Jarne C.
europepmc   +1 more source

Non-commutative structures of brain and cognition: quantum and contextual probability as a translational framework. [PDF]

Front Hum Neurosci
Emori H, Khrennikov A, Iriki A.
europepmc   +1 more source

Cross-modal and intra-modal commutativity of magnitude productions. [PDF]

Atten Percept Psychophys
Ellermeier W, Kattner F.
europepmc   +1 more source

Hankel's principle as an anti-Kantian program. [PDF]

Arch Hist Exact Sci
Toader ID.
europepmc   +1 more source

Advancing practical quantum embedding simulations <i>via</i> operator commutativity-based state preparation for complex chemical systems. [PDF]

Chem Sci
Mondal D, Patra AK, Maitra R.
europepmc   +1 more source