Results 81 to 90 of about 92,316 (261)

Some Remarks on Uniform Convergence [PDF]

Proceedings of the Edinburgh Mathematical Society, 1953
A useful test for uniform convergence is that first established by Buchanan and Hildebrandt [4] which is as follows.(A) “If a sequencefn(x) of monotonic functions converges to a continuous functionf(x) in [a, b] then this convergence is uniform.”In §1 of this paper it is shown that this test is included in a sequence of theorems, each of which ...
openaire   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

Advanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch, Maximilian Holland, Klaus Drechsler, Johannes Schilp   +3 more
wiley   +1 more source

Uniform convergence of Fourier series, IV

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1954
Verf. beweist seinen früheren Satz 6 (vgl. Teil V [Proc. Japan Acad. 31, 600--605 (1955; Zbl 0067.04201)]) in abgeänderter Form, indem er die Voraussetzung \[ \int_{0}^{|h|}|f(x+u)-f(x)|du=o(|h|) \] durch \[ \int_{0}^{|h|}(f(x+u)-f(x))du=o(|h|),~ h\rightarrow 0 \] ersetzt. Als Verallgemeinerung eines Satzes von R.
openaire   +8 more sources

Ontology‐Aligned Structuring and Reuse of Multimodal Materials Data and Workflows Toward Automatic Reproduction

Advanced Engineering Materials, EarlyView.
Reproduction of stacking fault energy calculations from literature with a semi‐automated large language model‐assisted extraction procedure: extraction of simulation protocol, atomistic structures, computational parameters, and reported results, ontology alignment, knowledge graph construction and, finally, recomputation forvalidation.
Sepideh Baghaee Ravari, Abril Azocar Guzman, Sarath Menon, Stefan Sandfeld, Tilmann Hickel, Markus Stricker   +5 more
wiley   +1 more source

Riesz lacunary uniform integrability and statistical convergence via power series method

Journal of Inequalities and Applications
In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan, Devia Narrania, Kuldip Raj, Qing-Bo Cai   +3 more
doaj   +1 more source

Convergence-Preserving Function Sequences and Uniform Convergence

Journal of Mathematical Analysis and Applications, 1999
Consider a sequence of real-valued functions \(\{f_k, k\geq 1\}\) defined on a closed subset \(S\) of the real line. This sequence is called convergence-preserving on \(S\) if \(\{f_k(t_k), k\geq 1\}\) is convergent for every convergent sequence \(\{t_k\} \subset S\). The main result shows that \(\{f_k\}\) is convergence-preserving on a closed interval
openaire   +2 more sources

Experimental Characterization and Constitutive Modeling of the Effect of Prior Inelastic Strain on the Viscoplastic Behavior of AD730 at 700 °C

Advanced Engineering Materials, EarlyView.
This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca, Patrick Villechaise, Malik Durand, Arnaud Longuet, Florent Coudon, Loïc Signor, Julien De Jaeger, Dominique Eyidi, Nathalie Bozzolo, Jonathan Cormier   +9 more
wiley   +1 more source

Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley-Read-Hall model. [PDF]

J Elliptic Parabol Equ, 2020
Fellner K, Kniely M.
europepmc   +1 more source

Precipitation Simulations of the O‐Phase in Ti2AlNb Alloys Processed by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
Simulated and experimental evolution of the O‐phase volume fraction during postprocessing of a Ti‐21Al‐25Nb (at.%) alloy processed by laser powder bed fusion. With results of sensitivity to input parameters from a thorough and quantified analysis, the interfacial energy matrix/precipitate is the most relevant input parameter for the simulation of the O‐
Silvana Tumminello, Joachim Gussone, Suzana G. Fries, Marcus Rackel, Andreas Stark, Norbert Schell, Jan Haubrich, Guillermo Requena   +7 more
wiley   +1 more source

ℐ-αβ-statistical relative uniform convergence for double sequences and its applications

Demonstratio Mathematica
This article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
doaj   +1 more source