共查询到20条相似文献,搜索用时 62 毫秒
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Gu Rongbao 《东北数学》1998,(3)
CentreofMeasureandMinimalCentreofAtractionfortheShiftMapsontheInverseLimitSpaces*)GuRongbao(顾荣宝)(DepartmentofMathematics,Anhu... 相似文献
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NotesonSmoothMapGermsYuLi(余立);ZhangGuobin(张国滨)(ZhanjiangTeachersCollege,China)Abstract:Inthispaper,westudythedeterminacyofrea... 相似文献
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Guo Yuanchun 《东北数学》1995,(3)
AClassofRingsSatisfyingS~m=S~(m+1)onSubrings¥(郭元春)GuoYuanchun(DepartmentofMathematics,JilinUniversity,Changchm,130023)Abstract... 相似文献
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MARKOV DECISION PROGRAMMING WITH CONSTRAINTS 总被引:1,自引:0,他引:1
MARKOVDECISIONPROGRAMMINGWITHCONSTRAINTSLIUJIANYONG(刘建庸);LIUKE(刘克)(InstituteofAppliedMathematics,theChineseAcademyofSciences,... 相似文献
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TheInterpolationProblemontheMaximalIdealSpaceofH~∞¥GuoKungu(郭坤宇)(DepartmentofMathematics,SichuanUniversity,Chengdu,610064)Abs?.. 相似文献
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ONBAHADURASYMPTOTICEFFICIENCYINASEMIPARAMETRICREGRESSIONMODELLIANGHUA(梁华);CHENGPING(成平)(InstituteofSystemsScience,theChineseA... 相似文献
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ANoteontheChoiceofOptimalScoresforOrdinalData*)ShiNingzhong(史宁中)andGaoWei(高巍)(DepartmentofMathematics,NortheastNormalUniversi... 相似文献
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RESEARCHANNOUNCEMENTSStrongConsistencyUnderGauss-MarkovCondition(II)JinMingzhong(金明仲)(GuizhouNationalCollge,Guiyang,Guizhou,5... 相似文献
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王亚珍 《应用数学学报(英文版)》1994,10(3):315-327
QUANTUMGAUSSIANPROCESSESWANGYAZHEN(王亚珍)(DepartmentofMathematicalStatistics,EastChinaNormalUniversity,Shanghai200062,China)Abs... 相似文献
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THEMATCHEDQUEUEINGSYSTEMGI。PH/PH/1XUGUANCHUI(GUANG-HUIHSV)(徐光煇);HEQIMING(何启明)(InstituteofAppliedMathematics,theChineseAcademy... 相似文献
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阿贝尔群上的幻方及幻立方(英) 总被引:1,自引:0,他引:1
An attempt is made to construct magic squares and magic cubes on a given abelian group. 相似文献
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To study the eigenvalues of low order singular and non-singular magic squares we begin with some aspects of general square matrices. Additional properties follow for general semimagic squares (same row and column sums), with further properties for general magic squares (semimagic with same diagonal sums). Parameterizations of general magic squares for low orders are examined, including factorization of the linesum eigenvalue from the characteristic polynomial.For nth order natural magic squares with matrix elements 1,…,n2 we find examples of some remarkably singular cases. All cases of the regular (or associative, or symmetric) type (antipodal pair sum of 1+n2) with n-1 zero eigenvalues have been found in the only complete sets of these squares (in fourth and fifth order). Both the Jordan form and singular value decomposition (SVD) have been useful in this study which examines examples up to 8th order.In fourth order these give examples illustrating a theorem by Mattingly that even order regular magic squares have a zero eigenvalue with odd algebraic multiplicity, m. We find 8 cases with m=3 which have a non-diagonal Jordan form. The regular group of 48 squares is completed by 40 squares with m=1, which are diagonable. A surprise finding is that the eigenvalues of 16 fourth order pandiagonal magic squares alternate between m=1, diagonable, and m=3, non-diagonable, on rotation by π/2. Two 8th order natural magic squares, one regular and the other pandiagonal, are also examined, found to have m=5, and to be diagonable.Mattingly also proved that odd order regular magic squares have a zero eigenvalue with even multiplicity, m=0,2,4,... Analyzing results for natural fifth order magic squares from exact backtracking calculations we find 652 with m=2, and four with m=4. There are also 20, 604 singular seventh order natural ultramagic (simultaneously regular and pandiagonal) squares with m=2, demonstrating that the co-existence of regularity and pandiagonality permits singularity. The singular odd order examples studied are all non-diagonable. 相似文献
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James Guyker 《International Journal of Mathematical Education in Science & Technology》2013,44(5):683-688
Characteristic polynomials are used to determine when magic squares have magic inverses. A resulting method constructs arbitrary examples of such squares. 相似文献
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基于矩阵运算,给出任意双偶数阶和非素数阶幻方的新构造方法:1)由任一低阶m(m为偶数且m≠2)幻方生成一高阶2m阶幻方;2)利用已知的m(m≠2)阶和n(n≠2)阶两个幻方,构造任意的非素数mn阶幻方,加强一些条件后,进一步提出构造两类高级幻方(泛对角线幻方和关联幻方)的新方法. 相似文献
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Sextonions and the Magic Square 总被引:1,自引:0,他引:1
Associated to any complex simple Lie algebra is a non-reductivecomplex Lie algebra which we call the intermediate Lie algebra.We propose that these algebras can be included in both the magicsquare and the magic triangle to give an additional row andcolumn. The extra row and column in the magic square correspondto the sextonions. This is a six-dimensional subalgebra of thesplit octonions which contains the split quaternions. 相似文献
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A magic labelling of a set system is a labelling of its points by distinct positive integers so that every set of the system has the same sum,
the magic sum. Examples are magic squares (the sets are the rows, columns, and diagonals) and semimagic squares (the same, but without
the diagonals). A magilatin labelling is like a magic labelling but the values need be distinct only within each set. We show that the number of n × n magic or magilatin labellings is a quasipolynomial function of the magic sum, and also of an upper bound on the entries in
the square. Our results differ from previous ones because we require that the entries in the square all be different from
each other, and because we derive our results not by ad hoc reasoning but from a general theory of counting lattice points in rational inside-out polytopes. We also generalize from
set systems to rational linear forms.
Dedicated to the memory of Claudia Zaslavsky, 1917–2006
Received August 10, 2005 相似文献
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