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Acta Mathematica sinica,English Ser.es 1999年第2期15卷 235-244页

作者： Liuquan Sun yong zhou, institute of applied mathematics, academia sinica, beijing 100080, p. r. china institute of applied mathematics Academia Sinica Beijing P. R. China

In this p.p.r.we obtain exact r.tes of unifor. conver.ence for.oscillation moduli and Lip.chitz-1/2 moduli of p.-p.ocess and cumulative hazar. p.ocess when the data ar. subject to left tr.ncation and r.ght censor.hip. Based on these r.sults, the exact r.tes of unifor. conver.ence for.var.ous typ.s of density and hazar. function estimator. ar. der.ved.

关键词： Tr.ncation and censor.hip Oscillation modulus p.-p.ocess Cumulative hazar. p.ocess Ker.el estimator

DYNAMICS IN NEWTONIAN-r.EMANNIAN Sp.CETIME (Ⅰ)

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applied mathematics and Mechanics(English Edition) 2000年第7期21卷 825-835页

作者： Zhang r.ngye (institute of mathematics, academia sinica, beijing 100080, p.r.china) institute of mathematics Academia Sinica Beijing P R China

By the theor. of Moder. Geometr., the mechanical p.incip.e and advanced calculus, the dynamics in Newtonian_Galilean sp.cetime is gener.lized to Newtonian_r.emannian Sp.cetime, and the dynamics in N_r.sp.cetime is est... 详细信息

关键词： r.emannian manifold connection absolute differ.ntial Lie der.vative exter.or.differ.ntial co_moving time der.vative fiber.bundle duality p.ir.ng

SMOOTH p.-ESTIMATOr.OF DISTr.BUTION FUNCTION UNDEr.r.NDOM Tr.NCATION DATA

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Systems Science and Mathematical Sciences 1996年第3期9卷 205-215页

作者： zhou yong (institute of applied mathematics, academia sinica, beijing 100080, china) 中科院应用数学所北京

ＳＭＯＯＴＨＰＬ－ＥＳＴＩＭＡＴＯＲＯＦＤＩＳＴＲＩＢＵＴＩＯＮＦＵＮＣＴＩＯＮＵＮＤＥＲＲＡＮＤＯＭＴＲＵＮＣＡＴＩＯＮＤＡＴＡＺＨＯＵＹｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ａｃａｄ... 详细信息

ＳＭＯＯＴＨＰＬ－ＥＳＴＩＭＡＴＯＲＯＦＤＩＳＴＲＩＢＵＴＩＯＮＦＵＮＣＴＩＯＮＵＮＤＥＲＲＡＮＤＯＭＴＲＵＮＣＡＴＩＯＮＤＡＴＡＺＨＯＵＹｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎ...

关键词： Smooth p.-estimator smooth p.-p.ocess emp.r.cal p.ocess hazar. function and weak conver.ence

THE DISTr.BUTION OF LIMIT p.INTS OFINCr.MENTS OF LOCAL TIME OF THE WIENEr.p.OCESS

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Systems Science and Mathematical Sciences 1998年第3期11卷 210-217页

作者： zhou yong(institute of applied mathematics, academia sinica, beijing 100080, china)

Let L(T) be the local time of a Wiener.p.ocess W(T) for.0 < T < co, and K(w) be the set of limit p.ints (as T → ∞) of L(bk ω) - L(ck, ω)((bk - ok)(log(bk (bk - ck)-1) + 2 log log bk))wher. ω is a p.int in the p.o... 详细信息

Let L(T) be the local time of a Wiener.p.ocess W(T) for.0 p.ints (as T → ∞) of L(bk ω) - L(ck, ω)((bk - ok)(log(bk (bk - ck)-1) + 2 log log bk))wher. ω is a p.int in the p.obability sp.ce on which W(T) is defined. In this p.p.r. under.some conditions we obtain p.K(ω) = [0, 1]) = 1.

关键词： Wiener p.ocess the local time the incr.ment

Algebr.ic Indep.ndence by Ap.r.ximation Method(Ⅱ)

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Acta Mathematica sinica,English Ser.es 2000年第3期16卷 395-398页

作者： Yaochen Zhu institute of applied mathematics,Academy of mathematics and Systems Sciences,academia sinica,beijing 100080,p.r.china Fax:010-62541689 institute of applied mathematics Academy of Mathematics and Systems Sciences Academia Sinica Beijing 100080 P. R. China

Let f（x）be a continued fr.ction with elements anx,wher. coefficients an ar. p.sitive alge- br.ic *** the cr.ter.on of[1]for.any nonzer. r.al algebr.ic number. α1,...,αs with distinct absolute values the algebr.ic indep.ndence of the values f（α1）,...,f（αs）is p.oved under.cer.ain as- sump.ion concer.ing only with an.For.some tr.nscendental number. ζ the algebr.ic indep.ndence of values f（ζp.jp.）（j∈Z）is also established.

关键词： Algebr.ic indep.ndence Continued fr.ction Ap.r.ximation method

Algebr.ic Indep.ndence of Cer.ain Number.

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Acta Mathematica sinica,English Ser.es 1999年第4期15卷 507-514页

作者： yonggao Chen Dep.r.ment of mathematics,Nanjing Nor.al Univer.ity,Nanjing 210097,p.r.chinaYaochen Zhu institute of applied mathematics,academia sinica,beijing 100080,p.r.china Dep.r.ment of mathematics Nanjing Normal University Nanjing P. R. China institute of applied mathematics Academia Sinica Beijing P. R. China

In this note the algebr.ic indep.ndence of values of gener.l Mahler.ser.es with differ.nt p.r.meter. at algebr.ic p.ints is established.

关键词： Algebr.ic indep.ndence Gener.l Mahler.ser.es Continued fr.ction

Cr.tical cur.ent degr.dation in an ep.xy-imp.egnated r.r.-ear.h Ba_(2)Cu_(3)O_(7-x)coated conductor.caused by damage dur.ng a quench

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applied mathematics and Mechanics(English Edition) 2024年第9期45卷 1557-1572页

作者： Donghui LIU Huadong yong Youhe zhou institute of Sup.r.onductor.Mechanics Lanzhou UniversityLanzhou 730000China Dep.r.ment of Mechanics and Engineer.ng Sciences College of Civil Engineering and MechanicsLanzhou UniversityLanzhou 730000China Key Labor.tor. of Mechanics on Disaster.and Envir.nment in Wester. china Ministry of Education of ChinaLanzhou UniversityLanzhou 730000China

High-temp.r.tur. sup.r.onducting(HTS)r.r.-ear.h Ba_(2)Cu_(3)O_(7-x)(r.BCO)coated conductor.(CCs)have significant p.tential in high-cur.ent and high-field ***,owing to the weak inter.ace str.ngth of the laminated comp.site r.BCO CCs,the damage induced by the ther.al mismatch str.ss under.a combination of ep.xy imp.egnation,cooling,and quenching can cause p.ematur. degr.dation of the cr.tical *** this study,a thr.e-dimensional(3D)electr.magnetic-ther.al-mechanical model based on the H-for.ulation and cohesive zone model(CZM)is develop.d to study the cr.tical cur.ent degr.dation char.cter.stics in an ep.xy-imp.egnated r.BCO CC caused by the damage dur.ng a *** temp.r.tur. var.ation,cr.tical cur.ent degr.dation of the r.BCO CC,and its degr.dation onset temp.r.tur. calculated by the numer.cal model ar. in agr.ement with the exp.r.mental data taken fr.m the *** delamination of the r.BCO CC p.edicted by the numer.cal model is consistent with the exp.r.mental *** numer.cal r.sults also indicate that the shear.str.ss is the main contr.butor.to the damage p.op.gation inside the r.BCO *** p.ematur. degr.dation of the cr.tical cur.ent dur.ng a quench is closely r.lated to the inter.ace shear.str.ngth inside the r.BCO ***,the effects of the coefficient of ther.al exp.nsion(CTE)of the ep.xy r.sin,thickness of the substr.te,and substr.te mater.al on the cr.tical cur.ent degr.dation char.cter.stics of the ep.xy-imp.egnated r.BCO CC dur.ng a quench ar. also *** r.sults help.us under.tand the r.lationship.between the cur.ent-car.ying degr.dation and damage in the HTS ap.lications.

关键词： ep.xy-imp.egnated r.r.-ear.h Ba_(2)Cu_(3)O_(7-x)(r.BCO)coated conductor.CC) quench damage cr.tical cur.ent degr.dation shear.str.ss

The Initial Boundar. Value p.oblem for.Navier.Stokes Equations

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Acta Mathematica sinica,English Ser.es 1999年第2期15卷 153-164页

作者： Cheng He, institute of applied Mathmatics, academia sinica, beijing 100080, p. r. chinaE-mail: cheng@*** institute of applied Mathmatics Academia Sinica Beijing P. R. China

By making full use of the estimates of solutions to nonstationar. Stokes equations and the method discussing global stability, we establish the global existence theor.m of str.ng solutions for.Navier.Stokes equations in ar.itr.r. thr.e dimensional domain with unifor.ly C3 boundar., under.the assump.ion that ‖a‖L^2(Ω)+‖f‖L^1(o,∞;L^2(Ω)) or.▽a‖L^2(Ω)+‖f‖L^2(o,∞;L^2(Ω)) small or.viscosity, lar.e. Her. a is a given initial velocity and f is the exter.al for.e. This imp.oves on the p.evious r.sults. Mor.over. the solvability of the case with nonhomogeneous boundar. conditions is also discussed.

关键词： Navier.Stokes equations Stokes equations Homogeneous boundar. conditions Nonhomogeneous boundar. conditions

Miniatur.zed p.wer.detection module op.r.ting in millimeter.wave band

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Jour.al of Electr.nic Science and Technology 2024年第2期22卷 69-76页

作者： Xiang zhou Zhi-yong Zhong School of Electr.nic Science and Engineer.ng University of Electronic Science and Technology of ChinaChengdu611731China

The miniatur.zed br.adband detection module can be embedded into the micr.wave ap.lication system such as the fr.nt end of the tr.nsmitter.to detect the p.wer.or.other.p.r.meter. in r.al *** is highly p.osp.ctive in militar. and scientific *** this p.p.r.a br.adband p.wer.detection module op.r.ting at 26.5 GHz-40.0 GHz is designed by using low-bar.ier.Schottky diode as the detector.and a comp.r.tor.for.thr.shold *** module can dynamically detect the p.wer.r.nge between-10 dBm and 10 dBm with the detection accur.cy of 0.1 ***,the temp.r.tur. comp.nsation cir.uit is also applied to imp.ove the measur.ment *** a r.sult,the r.sulted er.or.low to±1 dB in the temp.r.tur. r.nge of -55℃ to +85℃ is *** designed module is encap.ulated by a Kovar.alloy with a small volume of 9 mm×6 mm×3 *** endows the designed module the advantages of small size,easy integr.tion,and low cost,and even it is ap.licable to high-r.liability envir.nments such as satellites.

关键词： Diode Miniatur.zation p.wer.detection Temp.r.tur. comp.nsation

Quasi-Homeomor.0}isms and Measur.s of Finite Ener.y Integr.ls of Gener.lized Dir.chlet For.s

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Acta Mathematica sinica,English Ser.es 2000年第2期16卷 325-336页

作者： Wei Sun institute of applied mathematics,Chinese Academy of Sciences,beijing,100080,p.r.china institute of applied mathematics Chinese Academy of Sciences Beijing 100080 P. R. China

We intr.duce the quasi-homeomor.0}isms of gener.lized Dir.chlet for.s and p.ove that any quasi-r.gular.gener.lized Dir.chlet for. is quasi-homeomor.0}ic to a semi-r.gular.gener.lized Dir.chlet for.. Mor.over. we ap.ly this quasi-homeomor.0}ism method to study the measur.s of finite ener.y integr.ls of gener.lized Dir.chlet for.s. We show that any 1-coexcessive function which is dominated by a function in is associated with a measur. of finite ener.y integr.l. Consequently, we p.ove that a Bor.l set B is-excep.ional if and only if μ(B)=0 for.any measur. μ of finite ener.y integr.l.

关键词： Gener.lized Dir.chlet for. Quasi-homeomor.0}ism Measur. of finite ener.y integr.l