CONSTRUCTIONS

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The Characterizations and Constructions of Sprays of Isotropic Curvature
《Acta Mathematica Sinica,English Series》2022年第9期1612-1620,共9页Xin Yue CHENG Ke Xiang CAO Chun Yan QING 
Supported by the National Natural Science Foundation of China(Grant Nos.11871126 and 12141101);Technology Research Foundation of Chongqing Educational committee(Grant No.KJQN201900530);Chongqing Normal University Science Research Fund(Grant No.17XLB022)。
This paper discusses the sprays of isotropic curvature.We first determine the relationship betweenχ-curvatures of two projectively related sprays.Based on this,we find an approach to construct sprays of isotropic cur...
关键词：SPRAY spray of isotropic curvature χ-curvature S-CURVATURE Funk metric 
On Reproducing Kernel Banach Spaces:Generic Definitions and Unified Framework of Constructions被引量：1
《Acta Mathematica Sinica,English Series》2022年第8期1459-1483,共25页Rong Rong LIN Hai Zhang ZHANG Jun ZHANG 
Supported by Natural Science Foundation of China(Grant Nos.11971490,11901595);Natural Science Foundation of Guangdong Province(Grant No.2018A030313841);Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(Grant No.2020B1212060032);AFOSR(Grant No.FA9550-19-1-0213)through a subcontract from University of California,Los Angeles。
Recently,there has been emerging interest in constructing reproducing kernel Banach spaces(RKBS)for applied and theoretical purposes such as machine learning,sampling reconstruction,sparse approximation and functional...
关键词：Reproducing kernel Banach spaces feature maps reproducing kernels machine learning the representer theorem 
Constructions of 11/2-designs from Symplectic Geometry over Finite Fields被引量：3
《Acta Mathematica Sinica,English Series》2015年第9期1367-1378,共12页Zhao CHAI Rong Quan FENG Li Wei ZENG 
Supported by National Natural Science Foundation of China(Grant No.61370187)
In this paper, we construct some 1 1/2-designs, which are also known as partial geometric designs, using totally isotropic subspaces of the symplectic space and generalized symplectic graphs. Furthermore, these 1^-des...
关键词：1 1/2-design totally isotropic subspace generalized symplectic graph directed strongly reg-ular graph 
Quantum Double Constructions for Compact Quantum Group
《Acta Mathematica Sinica,English Series》2013年第12期2273-2282,共10页Ming LIU Xia ZHANG 
supported by the scientific research fund for young teachers of Tianjin Polytechnic University(Grant No.029960);supported by National Natural Science Foundation of China(Grant No.11171015)
For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the unive...
关键词：Compact quantum group PAIRING quantum double Haar state 
Detecting Arrays and Their Optimality被引量：3
《Acta Mathematica Sinica,English Series》2011年第12期2309-2318,共10页Yu TANG Jian Xing YIN 
Supported by National Natural Science Foundation of China （Grant Nos. 10801104 and 10831002）
Detecting arrays were proposed by Colbourn and McClary in 2008, which are of interest in generating software test suites to cover all t-sets of component interactions and detect interaction faults in component-based s...
关键词：Detecting arrays interaction faults BOUNDS OPTIMALITY CONSTRUCTIONS 
Probabilistic Constructions of B_2[g] Sequences
《Acta Mathematica Sinica,English Series》2010年第7期1309-1314,共6页Javier CILLERUELO 
Supported by project MTM 2008-03880 of MICINN (Spain) ;by the joint Madrid Region-UAM project TENU3 (CCG08-UAM/ESP-3906)
We use the probabilistic method to prove that for any positive integer g there exists an infinite B2[g] sequence A = {ak} such that ak ≤ k^2＋1/g（log k）^1/g＋0（1） as k→∞. The exponent 2＋1/g improves the previo...
关键词：Sidon sets B2 [g] sequences probabilistic method 
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