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Some Notes on the Adams Spectral Sequence

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Acta Mathematica Sinica,English Series 1994年第1期10卷 4-10页

作者： Wang Xiangjun Department of mathematics nankai university {2.,300071 Clfina 1. Department of mathematics Nankai University 300071 Tianjin China

In the beginning of 1980’s Cohen,*** that hob（1k）=B（1,k） ζ1 survives to E∞ in the Adams spectral ***,Cohen,*** Goerss,*** that hohj=ζ1pj ζ1 is a permanent *** they are represented byζk,ηj *** the author proved: Theorem 2.Let 2.s≤p-1,j≥3,thenβsηj≠0. Theorem 3:For 2.s≤p-1,k≥2.βsζk≠0 in the stable homotopy groups of spheres. As a remark,we get βsβ(（pk）/(pk-1)≠0 in ExtBP*,BP*,*（BP*,BP*）.

关键词： Some Notes on the Adams Spectral Sequence Math

New Families in the Stable Homotopy of Spheres Revisited

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Acta Mathematica Sinica,English Series 2002年第1期18卷 95-106页

作者： LIN Jin Kun Department of mathematics. nankai university. {2.. P. R. china Department of mathematics Nankai University Tianjin P. R. China

This paper constructs a new family in the stable homotopy of spheres π_(t-)S represented by h_ngoY_3 ∈E_2.6(,t) in the Adams spctral sequence which revisits the b_(n-1goY3)-elements ∈π_(-7)S con- structced in[3]. ... 详细信息

关键词： Stable homotopy of spheres Adams spectral sequence Toda-Smith spectrum Adams resolution

The Arnold Conjecture for a Product of Monotone Manifolds and Calabi-Yau Manifolds

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Acta Mathematica Sinica,English Series 1997年第3期13卷 381-388页

作者： Lu Guangcun (nankai Institute of mathematics,{2.,tianjin 300071,china. nankai Institute of mathematics Nankai University

We prove the Arnold conjecture for a product of finitely many monotone symplectic manifolds and Calabi-Yau *** key point of our proof is realized by suitably choosing perturbations of the almost complex structures and... 详细信息

关键词： Arnold conjecture Floer holomogy Hamiltonian system

Iron-doped Mn-Ce/TiO_2.catalyst for low temperature selective catalytic reduction of NO with NH_3

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Journal of Environmental Sciences 2010年第9期22卷 1447-1454页

作者： Boxiong Shen ,Ting Liu,Ning Zhao,Xiaoyan Yang,Lidan Deng College of Environmental Science and Engineering,nankai university,tianjin 300071,{2. [a] College of Environmental Science Engineering Nankai University Tianjin 300071 China

The catalysts of iron-doped Mn-Ce/TiO2.（Fe-Mn-Ce/TiO2. prepared by sol-gel method were investigated for low temperature selective catalytic reduction （SCR） of NO with NH3. It was found that the NO conversion over Fe-Mn-Ce/TiO2.was obviously improved after iron doping compared with that over Mn-Ce/TiO2. Fe-Mn-Ce/TiO2.with the molar ratio of Fe/Ti = 0.1 exhibited the highest activity. The results showed that 96.8% NO conversion was obtained over Fe（0.1）-Mn-Ce/TiO2.at 180~C at a space velocity of 50,000 hr-1. Fe-Mn-Ce/TiO2.exhibited much higher resistance to H2. and SO2.than that of Mn-Ce/TiO2. The properties of the catalysts were characterized using X-ray diffraction （XRD）, N2.adsorption, temperature programmed desorption （NH3-TPD and NOx-TPD）, and X- ray photoelectron spectroscopy （XPS） techniques. BET, NH3-TPD and NOx-TPD results showed that the specific surface area and NH3 and NOx adsorption capacity of the catalysts increased with iron doping. It was known from XPS analysis that iron valence state on the surface of the catalysts were in Fe^3＋ state. The doping of iron enhanced the dispersion and oxidation state of Mn and Ce on the surface of the catalysts. The oxygen concentrations on the surface of the catalysts were found to increase after iron doping. Fe-Mn-Ce/TiO2.represented a promising catalyst for low temperature SCR of NO with NH3 in the presence of H2. and SO2.

关键词： low-temperature SCR Fe-Mn-Ce/TiO2 H2. SO2

THE UNIFORM BOUNDEDNESS PRINCIPLE IN SOME TOPOLOGICAL VECTOR GROUPS

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Systems Science and Mathematical Sciences 2000年第3期13卷 292-301页

作者： DING Guanggui(Department of mathematics, nankai university, {2., china. 南开大学数学系天津 300071

It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1) and S... 详细信息

关键词： Binary fissionable topological group locally pseudo-bounded second category uniform boundedness principle

A theorem of Fong's type for graded algebras

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Science china.mathematics 2005年第5期48卷 577-582页

作者： FAN Yun & ZHU Ping School of mathematics and Statistics, Central china.Normal {2., Wuhan 430079, china.School of Mathematical Science, nankai university, tianjin 300071, china 1. School of mathematics and Statistics Central China Normal University 430079 Wuhan China 2. School of Mathematical Science Nankai University 300071 Tianjin China

Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p′-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p′-subgroup is obtained.

关键词： group graded algebra indecomposable induced module primitive idempotent.

A QUASI-NEWTON METHOD IN INFINITE-DIMENSIONAL SPACES AND ITS APPLICATION FOR SOLVING A PARABOLIC INVERSE PROBLEM

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Journal of Computational mathematics 1998年第4期16卷 305-318页

作者： Wen-huan Yu(Department of mathematics, tianjin {2., tianjin 300072. P.R. china.) tianjin Univ Dept Math Tianjin 300072 Peoples R China

A Quasi-Newton method in Infinite-dimensional Spaces (QNIS) for solving operator equations is presellted and the convergence of a sequence generated by QNIS is also proved in the paper. Next, we suggest a finite-dimensional implementation of QNIS and prove that the sequence defined by the finite-dimensional algorithm converges to the root of the original operator equation providing that the later exists and that the Frechet derivative of the governing operator is invertible. Finally, we apply QNIS to an inverse problem for a parabolic differential equation to illustrate the efficiency of the finite-dimensional algorithm.

关键词： Quasi-Newton method parabolic differential equation inverse problems in partial differential equations linear and Q-superlinear rates of convergence

THE JOINT DISTRIBUTIONS OF SOME ACTUARIAL DIAGNOSTICS FOR THE JUMP-DIFFUSION RISK PROCESS

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Acta Mathematica Scientia 2010年第3期30卷 664-676页

作者：吕玉华吴荣徐润 Department of mathematics Qufu Normal University School of mathematics Sciences and LPMC Nankai University

In this article, the joint distributions of several actuarial diagnostics which are important to insurers＇ running for the jump-diffusion risk process are examined. They include the ruin time, the time of the surplus process leaving zero ultimately （simply, the ultimately leaving-time）, the surplus immediately prior to ruin, the supreme profits before ruin, the supreme profits and deficit until it leaves zero ultimately and so on. The explicit expressions for their distributions are obtained mainly by the various properties of Levy process, such as the homogeneous strong Markov property and the spatial homogeneity property etc, moveover, the many properties for Brownian motion.

关键词： Jump-diffusion risk process Brownian motion time of ruin ultimately leaving-time homogeneous strong Markov property

Complete Lie algebras with maximal-rank nilpotent radicals

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Chinese Science Bulletin 1999年第4期44卷 312-315页

作者： ZHU Linsheng and MENG Daoji Department of mathematics, Changshu College , Changshu 2.5500, china.Department of mathematics, nankai university, tianjin 300071, china Department of mathematics Changshu College Changshu China Department of mathematics Nankai University Tianjin China

Ccmplete Lie algebras with maximal-rank nilpotent radicals are constructed by using the representation theory of complex semisimple Lie algebras. A structure theorem and an isomorphism theorem for this kind of complete Lie algebras are obtained. As an application of these theorems, the complete Lie algebras with abelian nilpotont radicals are classified. At last, it is proved that there exists no complete Lie algebra whose radical is a nilpotent Lie algebra with maximal rank.

关键词： complete Lie algebra nilpotent Lie algebra with maximal rank irreducible module.