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Geometric construction of energy-minimizing Bézier curves

Science China(Information Sciences) 2011年第7期54卷 1395-1406页

作者： XU Gang 1,4,5,WANG GuoZhao 2 & CHEN WenYu 2,3 1 Institute of Graphics and Image,Hangzhou Dianzi University,Hangzhou 310018,China 2 Department of Mathematics,Zhejiang University,Hangzhou 310027,China 3 School of Computer Engineering,Nanyang Technological University,639798,Singapore 4 galaad,inria sophia-antipolis,2.04 route des lucioles,06902.france 5 State Key Lab of CAD & CG,Zhejiang University,Hangzhou 310027,China Institute of Graphics and Image Hangzhou Dianzi University Hangzhou China galaad INRIA Sophia-Antipolis Sophia Antipolis France State Key Lab of CAD & CG Zhejiang University Hangzhou China Department of Mathematics Zhejiang University Hangzhou China School of Computer Engineering Nanyang Technological University Singapore Singapore

Modeling energy-minimizing curves have many applications and are a basic problem of Geometric *** this paper,we propose the method for geometric design of energy-minimizing B′ezier ***,the necessary and sufficient condition on the control points for B′ezier curves to have minimal internal energy is *** on this condition,we propose the geometric constructions of three kinds of B′ezier curves with minimal internal energy including stretch energy,strain energy and jerk *** some control points,the other control points can be determined as the linear combination of the given control *** compare the three kinds of energy-minimizing B′ezier curves via curvature combs and curvature plots,and present the collinear properties of quartic energy-minimizing B′ezier *** also compare the proposed method with previous methods on efficiency and ***,several applications of the curve generation technique,such as curve interpolation with geometric constraints and modeling of circle-like curves are discussed.

关键词： curve design minimal energy geometric construction interpolation with constraints circle-like curves

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Almost primes in short intervals

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Science China Mathematics 2010年第9期53卷 2511-2524页

作者： WU Jie Institut Elie Cartan Nancy,CNRS,Nancy-Université,inria,Boulevard des Aiguillettes,B.P.239,54506 Vand CEuvre-lès-Nancy,france 1. Institut Elie Cartan Nancy CNRS Nancy-Université INRIA Boulevard des Aiguillettes B.P. 239 54506 Vand?uvre-lès-Nancy France

In this paper,we prove that the short interval(x-x101/232,x] contains at least an almost prime P2 for sufficiently large x,where P2 denotes an integer having at most two prime factors counted with multiplicity.

关键词： estimates on exponential sums distribution of integers with specified multiplicative constraints applications of sieve methods

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Volatile　fatty　acids　carbon　source　for　biological　denitrification

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Journal of Environmental Sciences 1996年第3期8卷 257-268页

作者： Xu Yatong (Centre of International Research for Water and Environment, Lyonnaise des Eaux,france) Ctr. Intl. Res. for Water/Environ. Lyonnaise des Eaux France Department of Environmental Science East China Normal University 3663 North Zhongshan Road Shanghai 200062 China

In the suspended sludge system, when pH and temperature were suitable and carbon source was not limited, the denitrification and C-uptake rate followed a zero-order reaction. Mixed VFA C-source had higher denitrification rate than single VFA C-source consisting of them. When VFA were used as carbon source, consumed carbon quantity for denitrification was closed to 1. 07 mg VFA-C/mg NO-N. About 20% of the applied C/N was used for assimilative purposes. As rising up influent C/N by increasing the C load ,the sludge yield YN increased. The part of carbon consumption increased and the effluent oxidized nitrogen decreased. At pH 7. 5, 25℃ and sludge yield 0.72 mg VSS/mg NO-N, the calculated influent VFA-C /NO critical value was 1. 43 for complete denitrification.

关键词： biological denitrification suspended sludge volatile fatty acids (VFA) nitrate nitrite C/N ratio.

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A Numerical Model Coupling Electromagnetism and Thermomechanics Application to Induction Heating Modeling

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Journal of Shanghai Jiaotong university(Science) 2000年第1期5卷 63-71页

作者： Fran cois Bay, Valerie Labbe Yann Favennec Centre de Mise en Forme des Materiaux, Ecole des Mines de Paris B.P 207 - 06904 sophia antipolis cedex - france

A numerical model coupling the various physical phenomena (electromagnetic, thermal and mechanical) taking place in the induction heating process has been developed. The mathematical model and the numerical methods ar... 详细信息

关键词： Induction heating Electromagnetic field Temperature Field Stress Field Multiphysics coupling

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Quasi-hydrostatic Primitive Equations for Ocean Global Circulation Models

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Chinese Annals of Mathematics,Series B 2010年第6期31卷 939-952页

作者： Carine LUCAS Madalina PETCU Antoine ROUSSEAU Laboratoire MAPMO (UMR 6628) Fédération Denis Poisson (FDP-FR2964) Université d'OrléansBtiment de Mathématiques-Route de Chartres B. P. 6759 45067 Orléans Cedex 2 France Laboratoire de Mathématiques et Applications Téléport 2-B. P. 30179 Boulevard Marie et Pierre Curie 86962 Futuroscope Chasseneuil Cedex France inria Laboratoire Jean Kuntzmann 51 rue des Mathématiques B. P. 53 38041 Grenoble Cedex 9France

Global existence of weak and strong solutions to the quasi-hydrostatic primitive equations is studied in this paper. This model, that derives from the full non-hydrostatic model for geophysical fluid dynamics in the zero-limit of the aspect ratio, is more realistic than the classical hydrostatic model, since the traditional approximation that consists in neglecting a part of the Coriolis force is relaxed. After justifying the derivation of the model, the authors provide a rigorous proof of global existence of weak solutions, and well-posedness for strong solutions in dimension three.

关键词： Hydrostatic approximation Coriolis force Ocean global circulation models Primitive equations Traditional approximation

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Impactof Device Architecture on Performance and Reliability of Deep Submicron SOI MOSFETs( invited paper)

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Journal of Semiconductors 2000年第10期21卷 937-954页

作者： F.Balestra(Laboratoire de Physique des Composants à Semiconducteurs, (UMR CNRS/INPG) ENSERG,23 Av.des Martyrs,BP 257,30016 Grenoble,france) Laboratoire de Physique des Composantsà Semiconducteurs 法国 Grenoble 3 0 0 1 6

The main electrical properties of advanced Silicon On Insulator MOSFETs are addressed. The subthreshold and high field operations are analysed as a function of device architecture. The special SOI parasitic phenomena, such as the floating body potential and temperature, are critically reviewed. The main limitations of submicron MOSFET are comparatively evaluated for various SOI structures. Short channel and hot carrier effects as well as the reliability of the SOI technology are investigated for gate length down to sub\|0 1 micron.

关键词： SOI MOSFET 体系结构可靠性

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Slowly Oscilating Solutions of Diferential Equations with Delays

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Communications in Mathematical Research 1999年第2期 91-96页

作者： N.Yousfi (Faculté des Sciences Ben Msik, Casablanca, Maroc) O.Arino (I.P.R.A.Faculté des Sciences Pau, france)

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｙｏｆｓｌｏｗｌｙｏｓｃｉｌａｔｉｎｇ（Ｓ．Ｏ．）ｓｏｌｕｔｉｏｎｓｏｆｄｅｌａｙｄｉｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗａｓｉｎｉｔｉａｔｅｄｉｎｔｈｅ５０＇ｓｂｙｐｉ... 详细信息

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｙｏｆｓｌｏｗｌｙｏｓｃｉｌａｔｉｎｇ（Ｓ．Ｏ．）ｓｏｌｕｔｉｏｎｓｏｆｄｅｌａｙｄｉｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗａｓｉｎｉｔｉａｔｅｄｉｎｔｈｅ５０＇ｓｂｙｐｉｏｎｅｅｒｉｎｇｗｏｒｋｏｆＷｒｉ...

关键词： Delay Differential Equation Cauchy Problem Slowly Oscillating Solution

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Experimental Study of Partial Melting of Mantle Peridotite -A Discussion about the Genesis of Sih'ca-rich Fluids (Melts)

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Acta Geologica Sinica(English Edition) 1999年第4期73卷 395-403页

作者： LI Jianping Guangzhou Institute of Geochemistry, Chinese Academy of Sciences, Guangzhou, 510640, Chinaand Kornprobst JACQUES Departement des Sciences de la Terre, Universite Blaise Pascal, 610038 Clermont-Ferrand, france Chinese Acad Sci Guangzhou Inst Geochem Guangzhou 510640 Peoples R China Univ Blaise Pascal Dept Sci Terre F-610038 Clermont Ferrand France

Experiments on partial melting of mantle lherzolite have been realized at 0.6 and 1.0 GPa and the chemical compositional variations of melts during different melting stages have been first discussed. The results show that the trends of variations in SiO2, CaO, Al2O3, Na2O and TiO2 are different at different melting stages. The melts produced at lower pressure are richer in SiO2 than those at higher pressure. The mantle-derived silica-rich fluids (silicate melts) are polygenetic, but the basic and intermediate-acid silicate melts in mantle peridotite xenoliths from the same host rocks, which have equivalent contents of volatile and alkali components and different contents of other components, should result from in-situ (low-degree) partial melting of mantle peridotite under different conditions (e.g. at different depths, with introduction of C-O-H fluids or in the presence of metasomatic minerals). The intermediate-acid melts may be the result of partial melting (at lower pressure) Opx + Sp + K-Na-rich fluid ±(Am-phi) ± (Phlog) = OI + melt. But the intermediate-acid magmas cannot be produced from the partial melting of normal mantle peridotite unless the crustal materials are introduced to some extent.

关键词： mantle peridotite in-situ partial melting compositional variation of melt genesis of silica-rich fluid (stlicate melt)

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Subsolidus phase relations in the system MgO-ZnO-SiO_2 at high pressure

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Chinese Science Bulletin 1999年第12期44卷 1146-1149页

作者： LI Jianping, Jacques Kornprobst Didier Laporte Guangzhou Institute of Geochemistry , Chinese Academy of Sciences , Guangzhou 510640, China Departement des Sciences de la Terre, University Blasie Pascal, 630038 Clermont-Ferrand, france Guangzhou Institute of Geochemistry Chinese Academy of Sciences Guangzhou China Département des sciences de la Terre Université Blasie Pascal Clermont-Ferrand France

The subsolidus phase relations were determined experimentally in the system MgO-ZnO-SiO2 at 1.0 GPa and 1 200℃, by use of the high-pressure apparatus "piston-cylinder". The results showed characteristics of the phases assemblage different from that in similar ternary systems. It is impossible to form complete Mg2SiO4-Zn2SiO4 olivine and Mg2Si2O6-Zn2Si2O6 pyroxene solid solution. This is controlled by the properties of Zn2+ with an outer layer of electron (Ar)3d10, different from others transition metal ions, like Fe2+ , Ni2+ , Co2+ .

关键词： high pressure MgO-ZnO-SiO2 system subsolidus phase relation.

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Solution Structure of SECIS, the mRNA Element Required for Eukaryotic Selenocysteine Insertion──Interaction Studies Withthe SECIS-Binding Protein SBP

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Biomedical and Environmental Sciences 1997年第2期10卷 177-181页

作者： ROBERT WALCZAK NADIA HUBERT PHILIPPE CARBON, AND ALAIN KROL(UPR 9002 du CANS"Structure des MAcromolecules Biologiques et Mecanismes de Reconnaissance", IBMC, 15, Rue Rene descartes, 67084 Strasbourg Cedex, france) INST BIOL MOL & CELLULAIRE UPR 9002 CNRSF-67084 STRASBOURGFRANCE

Selenocysteine, a selenium-containing analog of cysteine, is found in the prokaryotic and eukaryotic kingdoms in active sites of enzymes involved in oxidation-reduction reactions. This aminoacid is cotranslationally incorporated at UGA codons which usually act as translation stop codons. In eukaryotes, decoding of selenocysteine necessitates the participation of the selenocysteine insertion sequence (SECIS), an element lying in the 3' -untranslated region of selenoprotein mRNAs. A detailed experimental study of the secondary structures of the SECIS elements of rat and human type 1 iodothyronine deiodinases and rat glutathione peroxidase was performed. Enzymatic and chemical structure probing led us to propose a secondary structure model, supported by sequence comparison of 23 SECIS mRNAs. The secondary structure model revealed the existence of a novel type of RNA motif composed of four consecutive non-Watson-Crick base-pairs. Using gel shift experiments, we identified in several mammalian cell type extracts the protein SBP,for SECIS-binding protein, that specifically recognizes the iodothyronine deiodinases and glutathione peroxidase SECIS elements. The structural model that we derived for the SECIS RNAs discloses RNA features possibly implicated in the binding of SBP and/or SECIS function

关键词： mRNA the mRNA Element Required for Eukaryotic Selenocysteine Insertion UGA Solution Structure of SECIS Interaction Studies Withthe SECIS-Binding Protein SBP

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