共查询到20条相似文献,搜索用时 31 毫秒
1.
DU Nailin School of Mathematics Statistics Wuhan University Wuhan Hubei China 《武汉大学学报:自然科学英文版》2006,11(3):486-492
0 IntroductionLeqtuiliHnebaer afo rHimlbaenrtd sap baoceun.dLeedtlianaenardfufnbceti oan baolu onndeHd ,serse--spectively. Our goal is to seekv∈Hsuchthata(u,v) =f(u) , u∈ H (1)As a rule, we call the expression (1) a variational equationandva solutiontothis equation.By virtue of the Riesz repre-sentationtheorem,there exists a uniquely determined boundedlinear operatorA:H→Hsuchthata(u,v) =〈u,Av〉, u,v∈ H,where〈·,·〉is the inner product onH.If the sesquilinearformais also with posit… 相似文献
2.
Che Ka-jia Li Zhi-chen College of Management Huazhong University of Science Technology Wuhan Hubei China 《武汉大学学报:自然科学英文版》2004,9(2):149-152
0 IntroductionIntheprocessofR&Ditem ,thereisusuallycompetition .ManyfirmswanttoinvestR&Dtoobtainapatent.Lury[1 ] gaveanequilibriuminvestmentundertheconditionofone timeinvestmentandcontinuousinvestmentwhenthepayoffwasafixedprize.Ref.[2 ]analyzedtheeffectofinformationsharinginR&D .TherearemanyliteraturesaboutanalysisofR&DlevelswhenfirmscompeteinoutputmarketafterR&Dsucceeds[3 ,4] .Additionally ,todecideinvestmentlevel,therearemanyliteraturesaboutR&Ditem’spricing .MondherBellalah[5] ,K .… 相似文献
3.
It is well known that, the singular integral operatorS defined as:
ifL is a closed smooth contour in the complex plane C, thenS is a bounded linear operator fromH
μ(L) intoH
μ(L): ifL is an open smooth curve, thenS is just a linear operator fromH
* intoH
*. In this paper, we define a Banach space
, and prove that
is a bounded linear operator, then verify the boundedness of other kinds of singular integral operators.
Supported by the National Science Foundation of China
Wang Xiaolin: born in Aug. 1950, Professor 相似文献
4.
Li Liang-chao Ni Cai-hua Lin Qiu-yueDepartment of Chemistry Insititute of Physical Chemistry Zhejiang Normal University Jinhua Zhejiang China Department of Chemistry Jingzhou Normal College Jingzhou Hubei China 《武汉大学学报:自然科学英文版》2003,8(2):451-454
A mathematical model formulated as ΔfHθm(g)=a+sum from i=1 to 5bipi(i≠2) was constructed for the relationshipbetween standard formation enthalpy ΔfHθm(g) and path index Pi of substituted benzenes derivatives. An empiric equation for the calculation of ΔfHθm(g) was worked out. The calculated values of standard formation enthalpy based on this model are excellently consistent with those from experimental for 55 organic compounds. The model is shown to be simple and of practical usefulness, particularly when required experimental data are unavailable. 相似文献
5.
A branching model {Z n} n≥0is considered where the offspring distribution of the population's evolution is not only dependent on the population size, but also controlled by a Markovian environmental process {ξ n} n≥0. For this model, asymptotic behaviour is studied such as limn→∞Z n and limn→∞Z n/m n in the case that the mean m k, θof the offspring distribution converges to m>1 as the population size k grows to ∞. In the case that {ξ n} n≥0is an irreducible positive recurrent Markov chain, certain extinction (i.e. P(Z n=0 for some n)=1) and noncertain extinction (i.e. P(Z n=0 for some n)<1) are studied. 相似文献
6.
The vector-valued Dirichlet-type spaces on the unit ball of C
n
is introduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions of the pointwise multipliers
of
are given. Finally, Rademacherp-type space is characterized by vector-valued sequence spaces.
Foundation item: Supported by the National Natural Science Foundation of China (10371093)
Biography: LI Ying-kui (1975-), male, Ph. D candidate, research direction: Banach space geometry and martingale theory. 相似文献
7.
Juping Wang 《科学通报(英文版)》1998,43(14):1163-1163
The so_called Jacobi_Eisenstein series is defined by E k, S (z, w)=∑y∈J ∞\J (1, j) Z 1|k, Sy(z, w) . The Fourier coefficients of E k, S is determined completely. The theorem extends the results of Eichler and Zagier to the case of general index matrices. 相似文献
8.
Let
(t)(t ∈ R
+
N
) be the d-dimensional N-parameter generalized Brownian sheet. We study the polar sets for
(t). It is proved that for any a ∈ R
d
, P{
(t) = a, for some t ∈ R
>
N
} =
and the probability that
(t) has k-multiple points is 1 or 0 according as whether 2kN > d(k − 1)β or 2kN < d(k−1)α. These results contain and extend the results of the Brownian sheet, where R
>
N
= (0,+∞)
N
,R
+
N
=[10,+∞)
N
,0< α≤1 and β≥1.
Biography: LI Huiqiong (1966–), female, Associate professor, research direction: stochastic process and random fractal. 相似文献
9.
Aihua Zhou 《科学通报(英文版)》1998,43(14):1183-1183
A diagnostic formula of magnetic field strength of gyrosynchrotron radiation regions of the lower harmonics (5 ≤S≤10 ) is presented based on their emissivity η νBN , absorptivity κ νBN , and the turnover frequency of radio spectra ν P. Their diagnostic error is estimated. And an accurate relation between electron energy spectral index δ and brightness temperature spectral index β is also given. 相似文献
10.
Gan Shi-xin 《武汉大学学报:自然科学英文版》2002,7(1):14-19
For weighted sums of the form
where {a
nj
, 1 ⩽j⩽k
n
↑∞,n⩾1} is a real constant array and {X
aj
, 1≤j≤k
n, n≥1} is a rowwise independent, zero mean, random element array in a real separable Banach space of typep, we establishL
r
convergence theorem and a general weak law of large numbers respectively, conversely, we characterize Banach spaces of typep in terms of convergence inr-th mean and probability for such weighted sums.
Foundation item: Supported by the National Natural Science Foundation of China (No. 10071058)
Biography: Gan Shi-xin (1939-), male, Professor, research direction: martingale theory, probability limiting theory and Banach
space geometry theory. 相似文献
11.
LetX be a complex quasi-Banach space and Φ:[0,∞)→[0,∞) an increasing convex function with Φ(0)=0,
and Φ∈Δ2. ThenL
Φ
*
(X) is a quasi-Banach space with continuous quasi-norm andL
Φ
*
(X) has the ARNP if and only ifX does.
Supported by the National Natural Science Foundation of China
Liu Peide: born in 1943, Professor 相似文献
12.
Peng Zhigang 《武汉大学学报:自然科学英文版》1997,2(2):139-141
We proved ifk(z)∈H
q (q≥1),g(z) is analytic on |z|=1,
, thenk′(z)∈H
1, especially, ifq=1, thenk(z) is an analytic function on the closed unit disk |z|≤1.
Peng Zhigang: born in June 1970, Ph. D 相似文献
13.
For double arrays of constants {a
ni, 1≤i≤k
n, n≥1} and NA r.v. 's {X
n, n≥1}, conditions for almost sure convergence of
are given. Both casesk
n ↑ ∞ andk
n=∞ are treated. A Marcinkiewicz-type theorem for i. d. NA sequences is obtained as a special case.
Supported by the National Natural Science Foundation of China
Cheng Riyan: born in 1968, MS student 相似文献
14.
A series of side-chain liquid crystalline polysiloxanes containing either cholesteryl or cyanobiphenyl mesogenic groups were
synthesized by the hydrosilylation reaction of a polysiloxane containing Si−H group with a vinyl-terminated compound containing
the mesogenic group. Their chemical structures were confirmed by IR,1H NMR, and elemental analysis, Their phase behaviors were investigated by differential scanning calorimetry, optical polarizing
microscope, and X-ray diffraction technique. The results show that all these polysiloxanes except P V display smectic or nematic
mesonorphism or both. The dependence of phase transition temperature on the rigidity of mesogenic unit. the length of spacer
group, and the flexibility of
chain is also described.
Supported by the National Natural Science Foundation of China
Xu Guangwei: born in June 5, 1970, Postgraduate 相似文献
15.
Thermogravimetry was used to study the non-isothermal decomposition kinetics and the stability of porphyrin copper-sodium
from ephedra. The kinetic equation for the second step can be expressed as
. The kinetic compensation effect is found to be: InA=0. 2468E
a
−8. 0513.Ea is 206. 61 kJ/mol. The results show that porphyrin copper-sodium has a high activation energy and good stability.
Biography: Zhang Lian-ru(1964), female, lecturer Research direction, applied biochemistry. 相似文献
16.
Let {(D
n, FFFn),n/->1} be a sequence of martingale differences and {a
ni, 1≤i≤n,n≥1} be an array of real constants. Almost sure convergence for the row sums
are discussed. We also discuss complete convergence for the moving average processes underB-valued martingale differences assumption.
Foundation item: Supported by the National Natural Science Foundation of China and the Doctoral Programme Foundation of China
Biography: DENG Ai-jiao (1974-), female, Ph.D. candidate. Research interest is in stochastic processes and random fractal. 相似文献
17.
LI Guoliang~ GAO Qibing~ LIU Luqin~ . School of Mathematics Statistics Wuhan University Wuhan Hubei China . Department of Statistics Finance University of Science Technology of China Hefei Anhui China 《武汉大学学报:自然科学英文版》2006,11(2):328-332
0Introduction Considerthemodel:y=h(x′β)+e wherey=y(1)y(q),h(t)=h(1)(t)h(q)(t),e=e(1)e(q),h(i),i=1,2,…,qisaknownboundedinjection:Rq→R1,h′isapositive matrixwith h(i)(t)tjasits(i,j)elementj=1,2,…,q,t=(t1,t2,…,tq),thepartialderivativesof2thorderofhexistandcontinuous.eistherandomerror.βisthep×1unknowparameterandxiisthefixedknownp×qmatrix,i=1,…,n,η=x′βiscalledpredictor,andthismodeliscalledgeneralizedlinearmodel.Supposetheindependentobservationsy1,…,ynaregetfromq dimensionrespons… 相似文献
18.
For double arrays of constants {a
ni, 1≤i≤k
n, n≥1} and NA r.v. 's {X
n, n≥1}, conditions for almost sure convergence of
are given. Both casesk
n ↑ ∞ andk
n=∞ are treated. A Marcinkiewicz-type theorem for i. d. NA sequences is obtained as a special case.
Supported by the National Natural Science Foundation of China
Cheng Riyan: born in 1968, MS student 相似文献
19.
XIAO Zhihong LIU Luqin 《武汉大学学报:自然科学英文版》2006,11(2):333-338
The generalized linear model(GLM) based on the observed data with incomplete information in the case of random censorship is defined. Under the given conditions, the existence and uniqueness of the solution on the likelihood equations with respect to the parameter vector β of the model are discussed, and the consistency and asymptotic normality of the maximum likelihood estimator(MLE) βn^-, are proved. 相似文献
20.
YANG Qinqin~ FAN Yun~ . School of Mathematics Statistics Wuhan University Wuhan Hubei China . School of Mathematics Statistics Central China Normal University Wuhan Hubei China 《武汉大学学报:自然科学英文版》2006,11(3):469-472
0 IntroductionLeRte(f K.[,1]O), ,ki) .e b.e, aOips- am ocdoumlaplre tseys dtiesmcre(tese eva lCuhatpito .nII Iri nignwith unique maxi mal idealJ(O) suchthatJ(O) =(π)forπ∈O,Kis the quotient field ofOcharacteristic 0 ,andkis theresidue fieldO/(π)of characteristicp, wherepis a fixedpri me number .Inthis paper , we fix a finite groupG,andletKcontains all the |G|-throots of unity,where |G|is the or-der of finite groupG.In particular bothKandkare splittingfields of every subgroup ofG.D… 相似文献