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Algebraic Independence by Approximation Method

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Acta Mathematica sinica,English Series 1998年第3期14卷 295-302页

作者： Zhu Yaochen Institute of Applied Mathematics, Academia sinica, Beijing 100080, China Institute of Applied Mathematics Academic Sinica Beijing China

By the use of approximation method a general criterion of algebraic independence of complex numbers is established. As its application the algebraic independence of values of certain gap series at algebraic and transc... 详细信息

关键词： Algebraic independence Approximation method Gap series

Edgeworth Expansion in Partial Linear Models

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Acta Mathematica sinica,English Series 1998年第3期14卷 303-314页

作者： Shi Jian Institute Systems Science, Academia of sinica, Beijing 100080, China Institute Systems Science Academic of Sinica Beijing China

In this paper, under some fairly general conditions, a first-order Edgeworth expansion for the standardized statistic of βin partial linear models is given, then a non-residual type of consistent estimation for the error variance is constructed, and finally an Edgeworth expansion for the corresponding studentized version is presented.

关键词： Partial linear model Edgeworth expansion Least-square estimation Weight functions

STRONG NONLINEAR VARIATIONAL PROBLEMS WITH NATURAL BOUNDARY VALUE CONDITIONS

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Acta Mathematica Scientia 1983年第1期3卷 47-55页

作者：顾永耕 Institute of Systems Science academic sinica

In [1] we discussed the strong nonlinear variational problems with the first boundary value conditions

关键词： STRONG NONLINEAR VARIATIONAL PROBLEMS WITH NATURAL BOUNDARY VALUE CONDITIONS exp

SPECIFIC PROTEIN OCCURRENCE RELATED WITH PHOTOPERIODIC FLOWER INDUCTION IN THE COTYLEDONS OF Pharbitis nil CV. VIOLET

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Science China Chemistry 1991年第5期34卷 570-575页

作者：李立武谭克辉 Institute of Botany Academic Sinica Beijing 100044 PRC

In our experiment, three groups of seedlings of SDP Pharbitis nil cv. violet were sepa-rately treated with three different photoperiods (1,16 h dark period--SD; 2, continuous illumi-nation--CL; 3, 16 h dark treatment with 10 min white light in the middle of the dark period--NB). By analysing proteins in the cotyledons from three groups with 2-D PAGE, we found nodifference in protein pattern between the three groups at 0 or 8 h after photoperiodic treatments.At 24 h after the treatments, a specific protein(MW:19 kD; pI: 4.5)appeared only in the cotyledonsof the seedlings which endured SD. This protein disappeared at 72 h after SD. ActinomycinD could inhibit flowering and the specific protein occurrence when applied to cotyledonsprior to SD, but it had no inhibition effect on flowering as well as the specific proteinoccurrence when applied to cotyledons after SD. Chloroamphenicol, a protein synthesisinhibitor, inhibited flowering when applied to cotyledons prior to or immediately after SD,but it did not inhibit flowering when applied to cotyledons at 24 h after SD. With the jointconsideration of the effects of defoliation and inhibitor applications on flowering, wededuced that the 19 kD protein occurrence correlated with the commitment to flowering. Thegene transcription related with induction was fulfilled within the SD period, while thespecific protein synthesis lasted 24 h after SD. The key regulation step of biochemical changesduring induction was at the transcriptional level.

关键词： photoperiodic flower induction 2-D PAGE inhibitor protein Pharbitis nil

Realizable Polynomial Algebras

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Acta Mathematica sinica,English Series 1994年第3期10卷 243-248页

作者： Pan Jianzhong Institute of Mathematics Academia sinica Beijing,100080 China Institute of Mathematics Academic Sinica Beijing China

In this paper we investigate whether a polynomial algebra can be realized as a cohomology ring of a topological *** main results are that we can split the realizable polynomial algebra into a tensor product of certain simple factors and that these factors are given explicitly when p>*** is worth mentioning is that most of these factors are known to he realizable.

关键词： Steenord代数不变量反射群

Decomposition of a Class of Functionals

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Acta Mathematica sinica,English Series 1991年第3期7卷 224-240页

作者：凡汝宗 Institute of Applied Mathematics. academic sinica

Let X(t) be a symmetric conservative Hunt process. In this paper, we decomposethe functional u(X(t),t) into a sum of a square integrable martingale and a regular 0-quadraticvariation process.

关键词： Decomposition of a Class of Functionals

A SOLITARY GROUP OF TWO-DIMENSIONAL DEEP-WATER WAVES DUE TO A CONCENTRATED FORCE-COUPLE

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Acta Mechanica sinica 1988年第3期4卷 195-200页

作者： Li Jiachun Institute of Mechanics, Academia sinica Institute of Mechanics Academic Sinica China

In 1986, Yih found a solitary group of deep-water waves caused by a travelling and oscillatoryconcentrated force. In this paper, such a single group caused by a travelling and oscillatory force-couple ispresented. The... 详细信息

关键词： solitary wave group velocity deep water waves concentrated force-couple

On Chern Numbers of Algebraic Varieties with Arbitrary Singularities

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Acta Mathematica sinica,English Series 1987年第3期3卷 227-236页

作者：吴文俊 academic sinica Institute of Systems Science

In 1965 the author introduced the notion of Chern classes for an algebraic variety witharbitrary singularities. Based on this definition the well-known Miyaoka-Yao inequalities have been provedand extended by quite si... 详细信息

关键词： On Chern Numbers of Algebraic Varieties with Arbitrary Singularities

THE FLORISTIC STRUCTURE OF THE XIZANG PART OF THE QINGHAI-XIZANG PLATEAU PLANT SUBKINGDOM

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Chinese Geographical Science 1991年第3期1卷 27-39页

作者：李恒武素功 Kunming Institute of Botany Academic Sinica Kunming PRC

The flora of the Qinghai-Xizang Plateau belongs to the floristic subkingdom of the Holarctic plant kingdom. The Xizang part of this subkingdom can be divided into 4 plant regions. 1) the Yarlung Zangbo River valley region. There are 1,003 species of seed plants, making up 19.38% of the total species in Xizang, and 159 endemic species, 15.89% of the total seed plants. The flora originates mainly from the East Himalayas and the Hengduan Mountains. 2) The Tanggute region. There are 349 species of seed plants and 10 endemic species. The flora represents an intermediate one between the Qinghai-Xizang Plateau and the Hengduan Mountains.3) The Qiangtang region. There are 255 species of seed plants and 18 endemic species. The flora derived from the Himalayan flora and mixed with a great number of Tethysian elements. 4) the Ali region. There are 547 species of seed plants and 41 endemic species. The flora seems to be closely related to Tethysian one.

关键词： floristic structure Qinghai-Xizang Plateau plant subkingdom Xizang