音乐学研究需要一个严密的逻辑推演过程,更需要遵循一套基本的科学研究规范。要回答“何为‘中国音乐’”这个问题,我们首先要弄清楚“中国”“Chinese”“中国音乐”“Chinese Music”“Music in China”“Music of China”“Music fro...音乐学研究需要一个严密的逻辑推演过程,更需要遵循一套基本的科学研究规范。要回答“何为‘中国音乐’”这个问题,我们首先要弄清楚“中国”“Chinese”“中国音乐”“Chinese Music”“Music in China”“Music of China”“Music from China”等概念的内涵(denotation)和外延(connotation),分清什么是满足“中国音乐”这个概念的充分条件和必要条件,并从语言学角度厘清它们的能指(signifiant/signifier)和所指(signifié/signified)。同时,学术论文写作应该避免无中生有、偷换概念。严肃的音乐学家,更应该尊重基本逻辑和客观事实,以严谨的科学态度,认真对待自己发表的每一篇学术文章,使其经得起时间考验,为年轻的一代音乐学人树立良好的学风,为推动中国的音乐学研究稳步走向一个真正具有国际化高度的新境界贡献力量。展开更多
The parameter R（G） is the function about the front three coeffcients of the adjoint polynomial of graph G. In the paper, the range of R（G） is given when β（G） 〈 β（Dn）, where β（G） is the minimum root of th...The parameter R（G） is the function about the front three coeffcients of the adjoint polynomial of graph G. In the paper, the range of R（G） is given when β（G） 〈 β（Dn）, where β（G） is the minimum root of the adjoint polynomial of graph G and the chromatically equivalent classification of tDn is completely depicted.Furthermore, a sufficient and necessary condition for the class of graphs to be chromatically unique is obtained.展开更多
This paper deals with two topics mentioned in the title. First, it is proved that function f in L^P（ Da） can be decomposed into a sum g ＋ h, where Da is an angular domain in the complex plane, g and h are the non-t...This paper deals with two topics mentioned in the title. First, it is proved that function f in L^P（ Da） can be decomposed into a sum g ＋ h, where Da is an angular domain in the complex plane, g and h are the non-tangential limits of functions in H^P（Da） and H^P（aD^c） in the sense of LP（Da）, respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.展开更多
Let （X, Xk ： k ≥ 1） be a sequence of extended negatively dependent random variables with a common distribution F satisfying EX 〉 0.Let τ be a nonnegative integer-valued random variable, independent of {X, Xk ：...Let （X, Xk ： k ≥ 1） be a sequence of extended negatively dependent random variables with a common distribution F satisfying EX 〉 0.Let τ be a nonnegative integer-valued random variable, independent of {X, Xk ： k ≥ 1}. In this paper, the authors obtain the necessary and sufficient conditions for the random sums Sτ=∑n=1^τ Xn to have a consistently varying tail when the random number τ has a heavier tail than the summands, i.e.,P（X〉x）/P（τ〉x）→0 as x →∞.展开更多
Given a set of independent vector fields on a smooth manifold, we discuss how to find a function whose zero-level set is invariant under the flows of the vector fields. As an application, we study the solvability of o...Given a set of independent vector fields on a smooth manifold, we discuss how to find a function whose zero-level set is invariant under the flows of the vector fields. As an application, we study the solvability of overdetermined partial differential equations: Given a system of quasi-linear PDEs of first order for one unknown function we find a necessary and sufficient condition for the existence of solutions in terms of the second jet of the coefficients. This generalizes to certain quasi-linear systems of first order for several unknown functions.展开更多
文摘音乐学研究需要一个严密的逻辑推演过程,更需要遵循一套基本的科学研究规范。要回答“何为‘中国音乐’”这个问题,我们首先要弄清楚“中国”“Chinese”“中国音乐”“Chinese Music”“Music in China”“Music of China”“Music from China”等概念的内涵(denotation)和外延(connotation),分清什么是满足“中国音乐”这个概念的充分条件和必要条件,并从语言学角度厘清它们的能指(signifiant/signifier)和所指(signifié/signified)。同时,学术论文写作应该避免无中生有、偷换概念。严肃的音乐学家,更应该尊重基本逻辑和客观事实,以严谨的科学态度,认真对待自己发表的每一篇学术文章,使其经得起时间考验,为年轻的一代音乐学人树立良好的学风,为推动中国的音乐学研究稳步走向一个真正具有国际化高度的新境界贡献力量。
基金Supported by the National Science Foundation of China(10761008)Supported by the Science Foundation of the State Education Ministry of China(205170)
文摘The parameter R（G） is the function about the front three coeffcients of the adjoint polynomial of graph G. In the paper, the range of R（G） is given when β（G） 〈 β（Dn）, where β（G） is the minimum root of the adjoint polynomial of graph G and the chromatically equivalent classification of tDn is completely depicted.Furthermore, a sufficient and necessary condition for the class of graphs to be chromatically unique is obtained.
基金supported by the National Natural Science Foundation of China(No.11271045)the Higher School Doctoral Foundation of China(No.20100003110004)
文摘This paper deals with two topics mentioned in the title. First, it is proved that function f in L^P（ Da） can be decomposed into a sum g ＋ h, where Da is an angular domain in the complex plane, g and h are the non-tangential limits of functions in H^P（Da） and H^P（aD^c） in the sense of LP（Da）, respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.
基金Project supported by the National Natural Science Foundation of China(No.11071182)
文摘Let （X, Xk ： k ≥ 1） be a sequence of extended negatively dependent random variables with a common distribution F satisfying EX 〉 0.Let τ be a nonnegative integer-valued random variable, independent of {X, Xk ： k ≥ 1}. In this paper, the authors obtain the necessary and sufficient conditions for the random sums Sτ=∑n=1^τ Xn to have a consistently varying tail when the random number τ has a heavier tail than the summands, i.e.,P（X〉x）/P（τ〉x）→0 as x →∞.
基金supported by National Research Foundation of Republic of Korea(Grant Nos.2011-0008976 and 2010-0011841)
文摘Given a set of independent vector fields on a smooth manifold, we discuss how to find a function whose zero-level set is invariant under the flows of the vector fields. As an application, we study the solvability of overdetermined partial differential equations: Given a system of quasi-linear PDEs of first order for one unknown function we find a necessary and sufficient condition for the existence of solutions in terms of the second jet of the coefficients. This generalizes to certain quasi-linear systems of first order for several unknown functions.
