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Chapter and Conference Paper
Research on Improvement Strategies and Parameter Analysis of Ant Colony Algorithm for One-Dimensional Cutting Stock Problem
Ant Colony Algorithm is a new bionic algorithm which adopts the positive feedback structure, combines parallel computing and heuristic factors. It showed remarkable performance in combinatorial optimization pr...
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Article
Algebraicity of formal varieties and positivity of vector bundles
We propose a positivity condition for vector bundles on a projective variety and prove an algebraicity criterion for formal schemes. Then we apply the algebraicity criterion to the study of formal principle in...
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Article
Majorations explicites des fonctions de Hilbert–Samuel géométrique et arithmétique
En utilisant l’approche de \(\mathbb R\) R ...
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Article
Distribution of logarithmic spectra of the equilibrium energy
Let L be a big invertible sheaf on a projective variety defined on a complete valued field (such as the field \({\mathbb{C}}\) ...
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Article
System optimization model of adoption of a new infrastructure with multi-resource and multi-demand sites
This study develops a conceptual system optimization model of adoption of a new infrastructure technology with multiple resource sites and multiple demand sites. With the model, this paper analyzes how the dis...
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Article
A new asymmetric anthracene derivative with high mobility
An asymmetric anthracene derivative (4-HDPA) was designed and synthesized. With the optimization of proper scenario of fabrication process, top-contact thin film devices based on 4-HDPA exhibit mobility as hig...
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Chapter
Nakai-Moishezon’s criterion
In this chapter, we fix a proper adelic curve S = ( K , ( Ω , A , ν ) , ϕ ) \(S=(K,(\varOmega ,\mathcal A,\nu ),\phi )\) . We assume that, either the σ-algebra A \(\mathcal A\) is discrete, or the ...
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Chapter
Local metrics
Throughout the chapter, let k be a field equipped with an absolute value |⋅|. We assume that k is complete with respect to this absolute value. If |⋅| is Archimedean, we assume that it is the usual absolute value...
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Chapter
Vector bundles on adelic curves: global theory
The purpose of this chapter is to study the geometry of adelic curves, notably the divisors and vector bundles.
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Chapter
Adelic line bundles on arithmetic varieties
In this chapter, we fix a proper adelic curve S = ( K , ( Ω , A , ν ) , ϕ ) \(S=(K,(\varOmega ,\mathcal A,\nu ),\phi )\) .
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Chapter
Metrized vector bundles: local theory
The purpose of this chapter is to explain the constructions and properties of normed vector spaces over a complete valued field. It will serve as the fundament for the global study of adelic vector bundles. No...
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Chapter
Adelic curves
The theory of adèles in the study of global fields was firstly introduced by Chevalley [49, Chapitre III] in the function field setting and by Weil [147] in the number field setting. This theory allows to cons...
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Chapter
Slopes of tensor product
The purpose of this chapter is to study the minimal slope of the tensor product of a finite family of adelic vector bundles on an adelic curve. More precisely, give a family E ¯ 1 , … , E ¯
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Article
On subfiniteness of graded linear series
Hilbert’s fourteenth problem studies the finite generation property of the intersection of an integral algebra of finite type with a subfield of the fraction field of the algebra. It has a negative answer due ...
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Chapter
Chapter III : Introduction aux théorèmes de Hilbert-Samuel arithmétiques
Le but de ce chapitre est d’expliquer quelques théorèmes de type Hilbert-Samuel, qui étudient le comportement asymptotique d’un système linéaire gradué éventuellement métrisé, dans différents contextes : géomé...
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Article
Open AccessThe impact of network topological structures on systematic technology adoption and carbon emission reduction
This paper investigates how the topological structure of the technological spillover network among agents affects the adoption of a new clean technology and the reduction of system’s carbon emissions. Through ...
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Article
Competitive adsorption of lead and cadmium onto nanoplastics with different charges: Two-dimensional correlation spectroscopy study
The competitive adsorption ability and mechanisms of lead (Pb2+) and cadmium (Cd2+) by nanoplastics (NPs) with positive charges (PS-NH2) and negative charges (PS-SO3H) were investigated by using batch adsorption ...
