AFFINE

作品数:277被引量:321H指数:8
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相关领域:自动化与计算机技术理学更多>>
相关作者:姚国标杨化超邓喀中杜全叶周名江更多>>
相关机构:中国测绘科学研究院中国矿业大学中国科学院西北大学更多>>
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ARCHIMEDES'PRINCIPLE OF FLOTATION AND FLOATING BODIES:CONSTRUCTION,EXTENSIONS AND RELATED PROBLEMS
《Acta Mathematica Scientia》2025年第1期237-256,共20页Chunyan LIU Elisabeth M.WERNER Deping YE Ning ZHANG 
supported by the Research Funding of Wuhan Polytechnic University(2024RZ083);Elisabeth M.Werner’s work was supported by the NSF grant DMS-2103482.Deping Ye’s work was supported by an NSERC grant,Canada.Ning Zhang’s work was supported by the NSF of China(11901217,11971005).
In this article,we explain how the famous Archimedes’principle of flotation can be used to construct various floating bodies.We survey some of the most important results regarding the floating bodies,including their ...
关键词:flfoating body affine surface area log-concave functions 
The Minimal Affine Total Variation in Minkowski Spaces
《数学进展》2025年第1期164-176,共13页MOU Shuang 
Supported in part by NSFC(No.11971005);the Fundamental Research Funds for the Central Universities(Nos.GK202101008,GK202102012)。
In this paper,we use the solution of the even functional Minkowski problem to show that there is a minimizing affine Minkowski total variation of the function of bounded variation.Moreover,for the Minkowski total vari...
关键词:convex body minimal surface area Minkowski space bounded variation 
IMAGE SPACE BRANCH-REDUCTION-BOUND ALGORITHM FOR GLOBALLY SOLVING THE SUM OF AFFINE RATIOS PROBLEM
《Journal of Computational Mathematics》2025年第1期203-228,共26页Hongwei Jiao Youlin Shang 
supported by the National Natural Science Foundation of China(Grant Nos.11871196,12071133,12071112);by the Key Scientific and Technological Research Projects of Henan Province(Grant Nos.232102211085,202102210147);by the China Postdoctoral Science Foundation(Grant No.2017M622340);by the Science and Technology Climbing Program of Henan Institute of Science and Technology(Grant No.2018JY01).
This article presents an image space branch-reduction-bound algorithm for globally solving the sum of affine ratios problem. The algorithm works by solving its equivalent problem, and by using convex hull and concave ...
关键词:Sum of affine ratios Global optimization Affine relaxation problem Branchreduction-bound Computational complexity 
Partially Affine Policy for Multistage Robust Unit Commitment with Fast-Ramping Units
《CSEE Journal of Power and Energy Systems》2025年第1期477-480,共4页Zhongjie Guo Jiayu Bai Wei Wei Shengwei Mei Weihao Hu 
supported in part by the Postdoctoral Fellowship Program of CPSF under Grant Number GZB20240105;in part by the China Postdoctoral Science Foundation under Grant Number 2024M750349;in part by the National Natural Science Foundation of China under Grant Number 52407084.
Multistage robust unit commitment(MRUC)is an important decision-making problem in power system operations.The affine policy facilitates problem-solving,but it compromises flexibility.This letter proposes a partially a...
关键词:Affine policy multistage robust optimization unit commitment 
一类虚拟纽结的Affine Index多项式
《应用数学进展》2025年第1期462-468,共7页郭兴博 
纽结理论是拓扑学的一个重要分支,虚拟纽结理论是经典纽结理论的推广,对它的研究是通过一种图解理论来展开的。虚拟纽结多项式是一类以多项式表达的虚拟纽结不变量,例如Arrow多项式和Wriggle多项式。Affine index多项式是以虚拟纽结图...
关键词:虚拟纽结 Affine Index多项式 Cheng着色 纽结不变量 
Distributed predefined-time estimator-based affine formation target-enclosing maneuver control for cooperative underactuated quadrotor UAVs with fault-tolerant capabilities
《Chinese Journal of Aeronautics》2025年第1期471-490,共20页Yang XU Yuanfang QU Delin LUO Haibin DUAN Zhengyu GUO 
supported by Natural Science Basic Research Plan in Shaanxi Province of China(No.2023-JC-QN-0733);Guangdong Basic and Applied Basic Research Foundation,China(No.2022A1515110753);China Postdoctoral Science Foundation(No.2022M722583);China Industry-UniversityResearch Innovation Foundation(No.2022IT188);National Key Laboratory of Air-based Information Perception and Fusion and the Aeronautic Science Foundation of China(No.20220001068001)。
The paper presents a two-layer,disturbance-resistant,and fault-tolerant affine formation maneuver control scheme that accomplishes the surrounding of a dynamic target with multiple underactuated Quadrotor Unmanned Aer...
关键词:Affine formation maneuver control Target tracking Fixed-time control Quadrotor unmanned aerial vehicle Target enclosing Predefined-time estimation 
A Boson-fermion Realization of Highest Weight Modules over g^(l)_(M|N)(θ)
《Acta Mathematica Sinica,English Series》2024年第12期2879-2903,共25页Fu Lin CHEN Xin HUANG Shao Bin TAN 
supported by National Natural Science Foundation of China(Grant No.12161141001);the Fundamental Research Funds for the Central Universities(Grant No.20720230020);S.Tan is supported by National Natural Science Foundation of China(Grant No.12131018)。
In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes t...
关键词:Twisted affine Lie superalgebra integrable highest weight module super boson-fermion correspondence 
FLRW cosmology in metric-affine F(R,Q)gravity
《Chinese Physics C》2024年第12期158-172,共15页Dinesh Chandra Maurya K.Yesmakhanova R.Myrzakulov G.Nugmanova 
Supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan(AP14870191)。
We investigated some Friedmann-Lemaître-Robertson-Walker(FLRW)cosmological models in the context of metric-affine F(R,Q)gravity,as proposed in[arXiv:1205.5266v6].Here,R and Q are the curvature and nonmetricity scalars...
关键词:metric-affine F(R Q)gravity FLRW flat universe FLRW cosmology transit phase expansion observational constraints 
基于空间注意力及条件增强的文本生成图像方法
《山东大学学报(工学版)》2024年第6期49-56,共8页马军 车进 贺愉婷 马鹏森 
国家自然科学基金资助项目(61861037);宁夏大学研究生创新研究基金资助项目(CXXM202223)。
针对文本生成图像语义不一致、训练不稳定、生成图像单一等问题,在一种简单有效的文本生成图像基准模型上提出基于空间注意力及条件增强的文本生成图像模型。为提高训练过程的稳定性、增加生成图像的多样性,在原有模型基础上增加条件增...
关键词:文本生成图像 DF-GAN 条件增强模型 Affine仿射块 空间注意力模型 
A GENERAL AVERAGING METHOD FOR AFFINE PERIODIC SOLUTIONS
《Acta Mathematica Scientia》2024年第6期2207-2224,共18页Xue YANG Jiamin XING Yong LI 
supported by the National Natural Science Foundation of China(12371191;12071175);supported by the NSFC(12071175;11901080);supported by the NSFC(12071175);the Fundamental Research Funds For the Central Universities(2412023YQ003);the Natural Science Foundation of Jilin Province(20200201253JC)。
We consider the persistence of affine periodic solutions for perturbed affine periodic systems.Such(Q,T)-affine periodic solutions have the form x(t+T)=Qx(t)for all t∈R,where T>0 is fixed and Q is a nonsingular matri...
关键词:affine-periodic solution perturbed system Brouwer degree averaging method 
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