Results 101 to 110 of about 7,046 (301)

On Certain Properties for Two Classes of Generalized Convex Functions

open access: yesAbstract and Applied Analysis, 2016
Two classes of generalized convex functions in the sense of Beckenbach are considered. For both classes, we show that the existence of support curves implies their generalized convexity and obtain an extremum property of these functions.
Mohamed S. S. Ali
doaj   +1 more source

Generalized convex inequalities [PDF]

open access: yesPacific Journal of Mathematics, 1963
Karlin, Samuel, Novikoff, Albert
openaire   +2 more sources

Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization

open access: yes, 2013
Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems ...
Ansari, Qamrul Hasan
core  

Automated generative process synthesis via transformer‐based dual‐loop simulation and optimization

open access: yesAIChE Journal, EarlyView.
Abstract This study presents a novel framework for automated generative process synthesis, addressing the complexity of simultaneously optimizing discrete topologies and continuous operating variables. To overcome conventional superstructure limitations, we propose a dual‐loop architecture integrating generative transformers with rigorous process ...
Yeong Woo Son   +4 more
wiley   +1 more source

A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality

open access: yes, 2006
In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities are established, and the first Kershaw’s double inequality and ...
Qi, Feng
core   +1 more source

Universally Accurate or Specifically Inadequate? Stress‐Testing General Purpose Machine Learning Interatomic Potentials

open access: yesAdvanced Intelligent Discovery, EarlyView.
We investigate MACE‐MP‐0 and M3GNet, two general‐purpose machine learning potentials, in materials discovery and find that both generally yield reliable predictions. At the same time, both potentials show a bias towards overstabilizing high energy metastable states. We deduce a metric to quantify when these potentials are safe to use.
Konstantin S. Jakob   +2 more
wiley   +1 more source

Maintaining the Regular Ultra Passum Law in data envelopment analysis [PDF]

open access: yes
The variable returns to scale data envelopment analysis (DEA) model is developed with a maintained hypothesis of convexity in input-output space. This hypothesis is not consistent with standard microeconomic production theory that posits an S-shape for ...
Ruggiero, John, Olesen, Ole B.
core  

Macrophage Phenotype Detection Methodology on Textured Surfaces via Nuclear Morphology Using Machine Learning

open access: yesAdvanced Intelligent Discovery, EarlyView.
A novel machine learning approach classifies macrophage phenotypes with up to 98% accuracy using only nuclear morphology from DAPI‐stained images. Bypassing traditional surface markers, the method proves robust even on complex textured biomaterial surfaces. It offers a simpler, faster alternative for studying macrophage behavior in various experimental
Oleh Mezhenskyi   +5 more
wiley   +1 more source

Metric Entropy under Generalized Convexity

open access: yes, 2016
Convexity plays an essential role in many areas of mathematics, from geometry, analysis and linear algebra to numerous applications in other areas of mathematics such as optimization.
Cockreham, James
core  

Best mean approximation by splines satisfying generalized convexity constraints

open access: yes, 1980
A characterization of the best L1-approximation to a continuous function by classes of fixed-knot polynomial splines which satisfy generalized convexity constraints is presented and uniqueness is shown.
Pence, Dennis D.
core   +1 more source

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