Results 91 to 100 of about 23,072 (208)

Automatic continuity: subadditivity, convexity, uniformity

, 2009
We examine various related instances of automatic properties of functions – that is, cases where a weaker property necessarily implies a stronger one under suitable side-conditions, e.g.
Bingham, N. H., Ostaszewski, A. J.
core   +1 more source

A Study on the Performance Improvement of Automatic Intellectual Property Counseling Classification: Using the Transformer-based AI Model BERT

Journal of Intellectual Property
Intellectual property customer counseling is an important public service that supports the creation of intellectual property rights and protection of the rights and interests of applicants and rights holders.
Dong-Hun Noh, Jae-Ok Min, So-Youn Woo
doaj   +1 more source

Automatic continuity of pure mapping class groups

We completely classify the orientable infinite-type surfaces $S$ such that $\operatorname{PMap}(S)$, the pure mapping class group, has automatic continuity. This classification includes surfaces with noncompact boundary.
Dickmann, Ryan
core  

Automatic continuity of measurable homomorphisms on Cech-complete topological groups

, 2022
We prove that a homomorphism $h:X\to Y$ from a (locally compact) Cech-complete topological group $X$ to a topological group $Y$ is continuous if and only if $h$ is Borel-measurable if and only if $h$ is universally measurable (if and only if $h$ is Haar ...
Banakh, Taras
core  

Automatic continuity of $\aleph_1$-free groups

, 2018
We prove that groups for which every countable subgroup is free ($\aleph_1$-free groups) are n-slender, cm-slender, and lcH-slender. In particular every homomorphism from a completely metrizable group to an $\aleph_1$-free group has an open kernel. We also show that $\aleph_1$-free abelian groups are lcH-slender, which is especially interesting in ...
openaire   +3 more sources

Automatic continuity of Jordan almost multiplicative maps on special Jordan Banach algebras

European Journal of Mathematics and Applications, 2022
C. Ganesa Moorthy, G. Siva
doaj   +1 more source

Automatic Continuity in Associative and Nonassociative Context

Irish Mathematical Society Bulletin, 2001
This is a comprehensive discussion of automatic continuity issues in the contexts mentioned. Emphasizing homomorphisms and derivations, and always relating the not necessarily associative issues to their associative analogues, this account lists 26 open questions.
openaire   +2 more sources

Deep Learning-Based Adaptive Downsampling of Hyperspectral Bands for Soil Organic Carbon Estimation

IEEE Access
Accurate estimation of soil organic carbon (SOC) is critical for assessing soil health and guiding sustainable land management. Hyperspectral sensing has emerged as an approach for SOC analysis due to its ability to capture detailed spectral signatures ...
Mohammad Rahman, Shyh Wei Teng, Manzur Murshed, Manoranjan Paul, David Brennan   +4 more
doaj   +1 more source

Classification of Stable Surfaces with respect to Automatic Continuity

We provide a complete classification of when the homeomorphism group of a stable surface, $Σ$, has the automatic continuity property: Any homomorphism from Homeo$(Σ)$ to a separable group is necessarily continuous.
Bestvina, Mladen, Rafi, Kasra, Domat, George   +2 more
core  

حول حل تقریبی لحدس رودریکث

Al-Rafidain Journal of Computer Sciences and Mathematics, 2006
Amir A. Mohammed, Ruqiya N. Balu
doaj   +1 more source