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New procedure to generate multipliers in complex Neumann problem and effective kohn algorithm

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Science China Mathematics 2017年第6期60卷 1101-1128页

作者： siu Yum-Tong Department of Mathematics Harvard University Cambridge MA 02238 USA

The purpose of this paper is threefold.(i) To explain the effective kohn algorithm for multipliers in the complex Neumann problem and its difference with the full-real-radical kohn algorithm, especially in the context of an example of Catlin-D'Angelo concerning the ineffectiveness of the latter.(ii) To extend the techniques of multiplier ideal sheaves for the complex Neumann problem to general systems of partial differential equations.(iii) To present a new procedure of generation of multipliers in the complex Neumann problem as a special case of the multiplier ideal sheaves techniques for general systems of partial differential equations.

关键词： multiplier ideal sheaves complex Neumann problem d-bar estimates weakly pseudoconvex domains kohn’s algorithm for multipliers domains of finite type

A Nonstandard Lévy-khintchine Formula and Lévy Processes

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Acta Mathematica Sinica,English Series 2008年第2期24卷 241-252页

作者： siu Ah NG School of Mathematical Sciences University of KwaZulu-Natal Pietermaritzburg 3209 South Africa

we use methods from nonstandard analysis to obtain a short and simple derivation of the Levy-khintchine formula via an explicit construction of certain laws of the infinitesimal increments. Consequently, any arbitrary... 详细信息

关键词： Levy processes Levy-khintchine formula nonstandard analysis infinitesimal hyperfinite

Multiplier ideal sheaves in complex and algebraic geometry

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Science China Mathematics 2005年第z1期48卷 1-31页

作者： Yum-Tong siu Department of Mathematics Harvard University CambridgeMA 02138USA

The application of the method of multiplier ideal sheaves to effective problems in algebraic geometry is briefly discussed. Then its application to the deformational invariance of plurigenera for general compact algebraic manifolds is presented and *** its application to the conjecture of the finite generation of the canonical ring is explored, and the use of complex algebraic geometry in complex Neumann estimates is discussed.

关键词： algebraic geometry, multiplier ideal sheaf, effective problem, invariance of plurigenera, canonical ring, minimal model, complex Monge-Ampere equation, complex Neumann estimate, weakly pseudoconvexdomain.

A pathophysiology-based approach to the management ot early priapism

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Asian Journal of Andrology 2013年第1期15卷 20-26页

作者： Jason R kovac siu k Mak Maurice M Garcia Tom FLue Scott Department of Urology Baylor College of Medicine Houston TX 77030 USA The Chinese University of Hong kong Department of Surgery Prince of Wales HosPital Hong Kong China Department of Urology University of California San Francisco CA 94143 USA

Priapism is a rare condition that involves persistent penile erection for greater than 4 h. Distinct variants exist, each with unique characteristics. Ischemic priapism is a painful medical emergency that may occur as a result of veno-occlusion leading to hypoxia and tissue death. Recurrent bouts of ischemic priapism, or stuttering priapism, require treatment for individual attacks as well as long-term prevention. Non-ischemic priapism is associated with trauma and may be managed conservatively. Recent advances into the pathophysiology of priapism have allowed the development of treatment algorithms that specifically target the mechanisms involved. In this review, we outline the basics of smooth muscle contraction and describe how derangement of these pathways results in priapism. A pathophysiological approach to the treatment of priapism is proposed with duration-based algorithms presented to assist in management.

关键词： algorithm ischemic management priapism T-shunt tunneling

Finite generation of canonical ring by analytic method

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Science China Mathematics 2008年第4期51卷 481-502页

作者： siu Yum-Tong Department of Mathematics Harvard University

An overview of the analytic proof of the theorem on the finite generation of the canonical ring for the projective algebraic manifold of general type is given.

关键词： multiplier ideal sheaf L^(2)estimates of █ canonical ring singular metric

Section extension from hyperbolic geometry of punctured disk and holomorphic family of flat bundles

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Science China Mathematics 2011年第8期54卷 1767-1802页

作者： siu Yum-Tong Department of Mathematics Harvard University

The construction of sections of bundles with prescribed jet values plays a fundamental role in problems of algebraic and complex *** the jet values are prescribed on a positive dimensional subvariety,it is handled by theorems of Ohsawa-Takegoshi type which give extension of line bundle valued square-integrable top-degree holomorphic forms from the fiber at the origin of a family of complex manifolds over the open unit 1-disk when the curvature of the metric of line bundle is *** prove here an extension result when the curvature of the line bundle is only semipositive on each fiber with negativity on the total space assumed bounded from below and the connection of the metric locally bounded,if a square-integrable extension is known to be possible over a double point at the *** is a Hensel-lemma-type result analogous to Artin's application of the generalized implicit function theorem to the theory of obstruction in deformation *** motivation is the need in the abundance conjecture to construct pluricanonical sections from flatly twisted pluricanonical *** also give here a new approach to the original theorem of Ohsawa-Takegoshi by using the hyperbolic geometry of the punctured open unit 1-disk to reduce the original theorem of OhsawaTakegoshi to a simple application of the standard method of constructing holomorphic functions by solving the  equation with cut-off functions and additional blowup weight functions.

关键词：  estimate Ohsawa-Takegoshi extension hyperbolic geometry of punctured disk flatly twisted pluricanoincal section Gelfond-Schneider technique

Patterns of sperm use by twice-mated female Queensland fruit flies

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Insect Science 2022年第4期29卷 1159-1169页

作者： Jason Shadmany siu F.Lee Thu N.M.Nguyen Phillip w.Taylor Applied BioSciences Macquarie UniversityNorth RydeNSWAustralia CSIRO Land and water Black MountainACTAustralia School of BioSciences University of MelbourneParkvilleVictoriaAustralia

Multiple mating by females,polyandry,is common in insects,including in tephritid fruit *** insects that remate commonly store sperm of multiple *** the sperm of different males contribute to paternity is an important element of sexual *** behavior and reproduction of the Queensland fruit fly(Qfly),Bactrocera tryoni,has been extensively investigated both in relation to understanding this economically important species’reproductive biology and in relation to implications for Sterile Insect Technique(SIT),whereby sterile flies are released to constrain reproduction of pest *** numerous studies of pre-and postcopulatory sexual selection in Qfly,there have been no direct studies of paternity patterns in polyandrous female *** used two morphologically distinguishable lines to investigate patterns of sperm use in *** two lines showed comparable mating performance evidenced by similar mating and remating frequency,copula duration,and proportion of second mate paternity(P2)between reciprocal *** mechanism of sperm usage,with P2 close to 0.5 immediately after the second mating followed by gradual decrease of P2 as females aged,is most consistent with stratification or repositioning of *** observed in the present study are compared with the available information from other tephritid fruit flies,and are discussed in relation to this species’reproductive biology,known patterns of sperm storage,and SIT.

关键词： muliple mating polyandry sperm competition sperm pecedence Tephritidac

Magnetoelectric and converse magnetoelectric responses in Tb_xDy_(1-x)Fe_(2-y) alloy & Pb(Mg_(1/3)Nb_(2/3))_(1-x)Ti_xO_3 crystal laminated composites

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Chinese Science Bulletin 2008年第14期53卷 2129-2134页

作者： JIA YanMin LUO HaoSu OR siu wing wANG YaoJin CHAN Helen L w State key Laboratory of High Performance Ceramics and Superfine microstructure Shanghai Institute of Ceramics Chinese Academy of Sciences Shanghai 201800 China Department of Applied Physics The Hong Kong Polytechnic University Hong Kong China

Measured results of magnetoelectric (ME) and converse magnetoelectric (CME) effects of TbxDy1-xFe2-y/ Pb(Mg1/3Nb2/3)(1-x)TixO3/TbxDy1-xFe2-y (TD/PMNT/TD) and PMNT/TD/PMNT laminated composites are pre- sented. ME effect was determined by measuring laminate voltage output under a Helmholtz-gener- ated AC field biased by a DC field (0―1 kOe) (1 Oe = 79.58 A/m). The CME effect was measured by re- cording the voltage induced in a solenoid encompassing the ME sample while exposed to a DC bias field and PMNT layer driven by a 10 V AC source. The ME and CME responses in the two laminated structure are linear. The highest values of ME coefficients in TD/PMNT/TD and PMNT/TD/PMNT com- posites are 384 mV/Oe and 158 mV/Oe, respectively, while the highest values of CME coefficients in the two composites are 118 mG/V and 162 mG/V (1 G=10-4 T), respectively.

关键词：磁电效应压电性复合材料合金晶体结构

A diagnostic and screening strategy with neutrophil counts in patients with suspected aortic dissection in a certain time window

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world Journal of Emergency Medicine 2023年第4期14卷 307-311页

作者： Hon Chun kai Man siu Department of Accident&Emergency Tseung Kwan O HospitalHong KongChina Department of Accident&Emergency United Christian HospitalHospitalHong KongChina

Aortic dissection(AD)is a potentially devastating cardiovascular disease ***,given the low incidence of AD(2.5 to 3.5 cases per 100,000person-years),the diagnosis of this disease remains relatively difficult in emergency settings.[1,2]Computed tomography aortogram(CTA)is the most commonly used diagnostic tool,which is an invasive investigation with renal impairment and is cost *** are lots of patients at low or moderate risk of AD,which may be no need for CTA *** a result,validated clinical strategies beyond clinical judgment are needed to manage patients with suspected AD.

关键词： patients dissection diagnosis