DYADIC

作品数:65被引量:34H指数:2
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相关作者:周熙张萍于鸿洋李洪忠王瑞卿更多>>
相关机构:电子科技大学郑州航空工业管理学院首都师范大学山东大学更多>>
相关期刊:《电视技术》《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《中国科学:数学》更多>>
相关基金:国家自然科学基金国家教育部博士点基金中国博士后科学基金国家重点基础研究发展计划更多>>
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On the Sense of Convergence in the Dyadic Representation Theorem
《Acta Mathematica Sinica,English Series》2025年第1期472-496,共25页Tuomas Hytonen 
Supported by the Research Council of Finland(Grant Nos.346314 and 364208)。
The dyadic representation of any singular integral operator,as an average of dyadic model operators,has found many applications.While for many purposes it is enough to have such a representation for a“suitable class...
关键词:Singular integral dyadic shift 
Surreal Numbers, Dyadic Rational Numbers and Cell Proliferation
《Journal of Applied Mathematics and Physics》2024年第12期4170-4182,共13页Verónica Judith Picos-Cárdenas Juan Pablo Meza-Espinoza Nayeli Nieto-Marín Liliana Itzel Patrón-Baro Juan Antonio Nieto 
The growth of multicellular organisms is directly related to cell proliferation through the cell cycle, in which a single cell grows and divides to produce two daughter cells. This process leads to an exponential incr...
关键词:Surreal Numbers Dyadic Rational Cell Cycle Cell Proliferation 
关于孙智伟一个猜想的证明
《中国科学:数学》2024年第9期1345-1356,共12页宋恒 徐飞 
国家自然科学基金(批准号:12231009)资助项目。
本文证明了,若a、b、c和d为全实数域k中的元素且其中至少有一个是全正数,则k中每个非负元r均可表为x^(2)+y^(2)+z^(2)+w^(2)使得x、y、z和w为k中非负元并且ax+by+cz+dw为k中的平方元.若将ax+by+cz+dw为k中的平方元换为ax+by+cz+dw为k中...
关键词:弱逼近 dyadic局部域 有理点 
On n-universal quadratic forms over dyadic local fields
《Science China Mathematics》2024年第7期1481-1506,共26页Zilong He Yong Hu 
supported by National Natural Science Foundation of China (Grant No. 12171223);the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515010396)。
Let n≥2 be an integer. We give necessary and sufficient conditions for an integral quadratic form over dyadic local fields to be n-universal by using invariants from Beli's theory of bases of norm generators.Also, we...
关键词:integral quadratic forms n-universal quadratic forms dyadic fields 290-theorem 
The Structure Entropy of Social Networks
《Journal of Systems Science & Complexity》2024年第3期1147-1162,共16页LI Zhenpeng YAN Zhihua YANG Jian TANG Xijin 
supported by the Natural Science Foundation of China under Grant Nos.71661001 and 71971190;the project of Yunnan Key Laboratory of Smart City and Cyberspace Security under Grant No.202105AG070010。
Micro triadic structure is an important motif and serves the building block of complex networks.In this paper,the authors define structure entropy for a social network and explain this concept by using the coded triad...
关键词:Dyadic and triadic motifs network structure entropy reciprocity and transitivity 
On Enforcing Dyadic-type Homogeneous Binary Function Product Constraints in MatBase
《Journal of Computer Science Research》2024年第1期31-42,共12页Christian Mancas 
Homogeneous binary function products are frequently encountered in the sub-universes modeled by databases,spanning from genealogical trees and sports to education and healthcare,etc.Their properties must be discovered...
关键词:Database constraints Homogeneous binary function products Dyadic relations Modelling as programming The(Elementary)Mathematical Data Model MatBase 
Partial Derivatives, Singular Integrals and Sobolev Spaces in Dyadic Settings
《Analysis in Theory and Applications》2023年第3期287-298,共12页Hugo Aimar Juan Comesatti Ivana Gómez Luis Nowak 
supported by the MINCYT in Argentina:CONICET and ANPCyT,UNL and UNComa。
In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces,can be applied to obtain Sobolev type regularity properties for s...
关键词:Sobolev regularity Haar basis space of homogeneous type Calder´on-Zygmund operator dyadic analysis 
Singular Integrals with Variable Kernels in Dyadic Settings
《Acta Mathematica Sinica,English Series》2023年第8期1565-1579,共15页Hugo AIMAR Raquel CRESCIMBENI Luis NOWAK 
Supported by Consejo Nacional de Investigaciones Científicas y Técnicas,Universidad Nacional del Litoral and Universidad Nacional del Comahue,Argentina
In this paper we explore conditions on variable symbols with respect to Haar systems,defining Calderón–Zygmund type operators with respect to the dyadic metrics associated to the Haar bases. We show that Petermichl...
关键词:Singular integrals spaces of homogeneous type Petermichl’s operator Haar basis 
JOHN-NIRENBERG-Q SPACES VIA CONGRUENT CUBES
《Acta Mathematica Scientia》2023年第2期686-718,共33页陶金 杨珍瑜 袁文 
partially supported by the National Natural Science Foundation of China(12122102 and 11871100);the National Key Research and Development Program of China(2020YFA0712900)。
To shed some light on the John-Nirenberg space,the authors of this article introduce the John-Nirenberg-Q space via congruent cubes,JNQp,qα(Rn),which,when p=∞and q=2,coincides with the space Qα(Rn)introduced by Ess...
关键词:John-Nirenberg space congruent cube Q space (fractional)Sobolev space mean oscillation dyadic cube composition operator 
Towards a Surreal Spin Theory: Surreal Superstrings?
《Journal of Applied Mathematics and Physics》2022年第12期3586-3600,共15页Juan Antonio Nieto Jesús Adrián Félix-Algandar 
We propose a surreal spin theory. Our basic mathematical tools are the dyadic rational number which is one of the key mathematical notions in surreal number theory. We argue that from the perspective of such surreal n...
关键词:Higher Spin Theory Surreal Numbers Dyadic Rationals 
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