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元儒程端学论《春秋》“小义”与“余义”
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作者 周国琴 《内蒙古民族大学学报(社会科学版)》 2013年第5期42-45,共4页
元儒程端学除了对《春秋》"大义"进行了详尽的阐发之外,还提出了"小义"与"余义"的概念,他认为《春秋》"大义"可以兼说"小义","正义"兼说"余义",而"小义&qu... 元儒程端学除了对《春秋》"大义"进行了详尽的阐发之外,还提出了"小义"与"余义"的概念,他认为《春秋》"大义"可以兼说"小义","正义"兼说"余义",而"小义"与"余义"则不可兼说"大义"与"正义",另外,他还提出了处理"大义"与"小义"的态度。这就丰富了《春秋》之"义"的概念与内涵,在《春秋》 展开更多
关键词 程端学 春秋 大义 小义 余义
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章太炎《管子余义》述议
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作者 王诚 《管子学刊》 2018年第2期34-39,共6页
《管子余义》是章太炎《管子》考释札记的选编。他吸收前辈学者的成果,或证成前人观点,或作新的发明。在训诂方法上秉承乾嘉传统,又有自己的特色。还对《管子》的句读校勘、篇章文法以及章句义理有所探讨。但它在训释方面也有不少疏误,... 《管子余义》是章太炎《管子》考释札记的选编。他吸收前辈学者的成果,或证成前人观点,或作新的发明。在训诂方法上秉承乾嘉传统,又有自己的特色。还对《管子》的句读校勘、篇章文法以及章句义理有所探讨。但它在训释方面也有不少疏误,求诸过深、穿凿附会之处亦不必讳言。 展开更多
关键词 章太炎 《管子余义 考释
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从《春秋》三书看元儒程端学的义利观 被引量:1
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作者 周国琴 《内蒙古师范大学学报(哲学社会科学版)》 2013年第1期65-68,共4页
元儒程端学在阐发《春秋》"大义"的同时,申明了自己重义轻利的义利观。这是一种进步的义利观,对我们今天的道德建设,亦具有一定的借鉴和指导意义。
关键词 程端学 春秋 大义 小义 余义
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Application of the generalized quasi-complementary energy principle to the fluid-solid coupling problem
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作者 梁立孚 刘宗民 郭庆勇 《Journal of Marine Science and Application》 2009年第1期40-45,共6页
The fluid-solid coupling theory, an interdisciplinary science between hydrodynamics and solid mechanics, is an important tool for response analysis and direct design of structures in naval architecture and ocean engin... The fluid-solid coupling theory, an interdisciplinary science between hydrodynamics and solid mechanics, is an important tool for response analysis and direct design of structures in naval architecture and ocean engineering. By applying the corresponding relations between generalized forces and generalized displacements, convolutions were performed between the basic equations of elasto-dynamics in the primary space and corresponding virtual quantities. The results were integrated and then added algebraically. In light of the fact that body forces and surface forces are both follower forces, the generalized quasi-complementary energy principle with two kinds of variables for an initial value problem is established in non-conservative systems. Using the generalized quasi-complementary energy principle to deal with the fluid-solid coupling problem and to analyze the dynamic response of structures, a method for using two kinds of variables simultaneously for calculation of force and displacement was derived. 展开更多
关键词 fluid-solid coupling elasto-dynamics generalized quasi-complementary energy principle dynamic response
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Duality theorem for smash coproduct over quantum groupoids
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作者 周璇 刘玲 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2010年第4期647-650,共4页
The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left... The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left weak H-module coalgebra.First,a weak generalized smash coproduct C×lH D over quantum groupoids is defined and the module and comodule structures on it are constructed.The weak generalized right smash coproduct C×rL D is similar.Then some isomorph-isms between them are obtained.Secondly,by introducing some concepts of a weak convolution invertible element,a weak co-inner coaction and a strongly relative co-inner coaction,a sufficient condition for C×rH D to be isomorphic to Cv D is obtained,where v∈WC(C,H)and the coaction of H on D is right strongly relative co-inner.Finally,the duality theorem for a generalized smash coproduct over quantum groupoids,(C×lH H)×lH H≌Cv(H×lH H),is obtained. 展开更多
关键词 weak Hopf algebras(quantum groupoids) weak generalized smash coproducts weak module coalgebras weak comodule coalgebras weak bimodule coalgebras duality theorem
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Constructing generalized Drinfel'd quantum double
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作者 刘国华 周璇 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2012年第1期125-129,共5页
Let H be a Hopf algebra and B an algebra with two linear maps δ, τ: H H→B. The necessary and sufficient conditions for the twisted crossed product B#^τδH equipped with the tensor product coalgebra structure to b... Let H be a Hopf algebra and B an algebra with two linear maps δ, τ: H H→B. The necessary and sufficient conditions for the twisted crossed product B#^τδH equipped with the tensor product coalgebra structure to be a bialgebra are proved. Then, B#^τδH is a coquasitriangular Hopf algebra under certain conditions. This coquasitriangular Hopf algerbra generalizes some known cross products. Finally, as an application, an explicit example is given. 展开更多
关键词 twisted crossed product coquasitriangular Hopfalgebra generalized Drinfel'd quantum double
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On Congruence Properties of Stirling type Pairs
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作者 于洪全 王毅 李超英 《Journal of Mathematical Research and Exposition》 CSCD 1997年第4期509-512,共4页
We prove some congruence relations satisfied by integral Stirling type pairs. The results settle a question posed by Hsu . In particular, they extend known congruence properties of Stirling numbers of the first kind ... We prove some congruence relations satisfied by integral Stirling type pairs. The results settle a question posed by Hsu . In particular, they extend known congruence properties of Stirling numbers of the first kind and the second kind. 展开更多
关键词 Stirling numbers congruence.
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Congruences involving generalized central trinomial coefficients 被引量:3
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作者 SUN Zhi-Wei 《Science China Mathematics》 SCIE 2014年第7期1375-1400,共26页
For integers b and c the generalized central trinomial coefficient Tn(b,c)denotes the coefficient of xnin the expansion of(x2+bx+c)n.Those Tn=Tn(1,1)(n=0,1,2,...)are the usual central trinomial coefficients,and Tn(3,2... For integers b and c the generalized central trinomial coefficient Tn(b,c)denotes the coefficient of xnin the expansion of(x2+bx+c)n.Those Tn=Tn(1,1)(n=0,1,2,...)are the usual central trinomial coefficients,and Tn(3,2)coincides with the Delannoy number Dn=n k=0n k n+k k in combinatorics.We investigate congruences involving generalized central trinomial coefficients systematically.Here are some typical results:For each n=1,2,3,...,we have n-1k=0(2k+1)Tk(b,c)2(b2-4c)n-1-k≡0(mod n2)and in particular n2|n-1k=0(2k+1)D2k;if p is an odd prime then p-1k=0T2k≡-1p(mod p)and p-1k=0D2k≡2p(mod p),where(-)denotes the Legendre symbol.We also raise several conjectures some of which involve parameters in the representations of primes by certain binary quadratic forms. 展开更多
关键词 CONGRUENCES central trinomial coefficients Motzkin numbers central Delannoy numbers
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ON THE GENERALIZED GLAISHER-HONG'S CONGRUENCES 被引量:1
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作者 I. SLAVUTSKII str. Hamarva,4, O.Box 23393, Akko, Israel. E-mail: nickl@bezeqint.net 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第1期63-66,共4页
Recently Hong Shaofang[6] has investigated the sums (np + j)-r ( with an odd prime number p 5 and n, r N) by Washington’s p-adic expansion of these sums as a power series in n where the coefficients are values of p-a... Recently Hong Shaofang[6] has investigated the sums (np + j)-r ( with an odd prime number p 5 and n, r N) by Washington’s p-adic expansion of these sums as a power series in n where the coefficients are values of p-adic L-fuctions[12]. Herethe author shows how a more general sums (npl +j)-r,l N, may be studied by elementary methods. 展开更多
关键词 Glaisher's congruence kth Bernoulli number Kummer-Staudt's congruence p-adic L-function
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