Switched reluctance motors(SRM)with full-pitch windings and segmental rotors are particularly suitable for the drive systems in aerospace environments because of low wind(oil)resistance and iron losses at high speed.I...Switched reluctance motors(SRM)with full-pitch windings and segmental rotors are particularly suitable for the drive systems in aerospace environments because of low wind(oil)resistance and iron losses at high speed.In this paper,the authors have been studying electromagnetic design of this motor.展开更多
The typical model, which involves the measures： support, confidence, and interest, is often adapted to mining association rules. In the model, the related parameters are usually chosen by experience; consequently, th...The typical model, which involves the measures： support, confidence, and interest, is often adapted to mining association rules. In the model, the related parameters are usually chosen by experience; consequently, the number of useful rules is hard to estimate. If the number is too large, we cannot effectively extract the meaningful rules. This paper analyzes the meanings of the parameters and designs a variety of equations between the number of rules and the parameters by using regression method. Finally, we experimentally obtain a preferable regression equation. This paper uses multiple correlation coeficients to test the fitting efiects of the equations and uses significance test to verify whether the coeficients of parameters are significantly zero or not. The regression equation that has a larger multiple correlation coeficient will be chosen as the optimally fitted equation. With the selected optimal equation, we can predict the number of rules under the given parameters and further optimize the choice of the three parameters and determine their ranges of values.展开更多
Microwave ablation(MWA)status monitoring in real time plays a key role in assessment of therapeutic fectiveness.As a novel realtime assessment method,near infrared spectroscopy(NIRs)was used to evaluate the ablation e...Microwave ablation(MWA)status monitoring in real time plays a key role in assessment of therapeutic fectiveness.As a novel realtime assessment method,near infrared spectroscopy(NIRs)was used to evaluate the ablation eficacy.MWA experiments were carried out on in vitroporcine livers.An optical measurement system for biological tissue is developed by our lab tomonitor reduced scattering coefficient(μ')at 690 nm of the coagulation zones.It is noted that p's of liver tissue,which increases as the liver tissue being ablated,is clearly related with the co-agulation status.μ's of normal tissue and coagulated tissue is 3-5 and 17-19 cm-1,respectively.Continuous changes ofμ's demonstrate that optical parameter can be used as an efficacy evaluation factor because it essentially indicates the degree of thermal damage.Compared withtemperat ure,optical parameter is more sensitive and accurate,which is promising for real-timetherapeutic eficacy assessment in MWA.展开更多
Well-Posedness for McKean-Vlasov SDEs Driven by Multiplicative Stable Noises Changsong Deng Xi ng Huang Abstract We establish the well-posedness for a class of McKean-Vlasov SDEs driven by symmetric Q-stable Levy proc...Well-Posedness for McKean-Vlasov SDEs Driven by Multiplicative Stable Noises Changsong Deng Xi ng Huang Abstract We establish the well-posedness for a class of McKean-Vlasov SDEs driven by symmetric Q-stable Levy processes(1/2<α≤1),where the drift coefficient is Holder continuous in space variable,while the noise coeficient is Lipscitz continuous in space variable,and both of them satisfy the Lipschitz condition in distribution variable with respect to Wasserstein distance.If the drift coefficient does not depend on distribution variable,our methodology developed in this paper applies to the caseαe(0,1].The main tool relies on heat kernel estimates for(distribution independent)stable SDEs and Banach's fixed point theorem.展开更多
Apéry-type(inverse)binomial series have appeared prominently in the calculations of Feynman integrals in recent years.In their previous work,the authors showed that a few large classes of the non-alternating Ape...Apéry-type(inverse)binomial series have appeared prominently in the calculations of Feynman integrals in recent years.In their previous work,the authors showed that a few large classes of the non-alternating Ape′ry-type(inverse)central binomial series can be evaluated using colored multiple zeta values of level four(i.e.,special values of multiple polylogarithms at the fourth roots of unity)by expressing them in terms of iterated integrals.In this sequel,the authors will prove that for several classes of the alternating versions they need to raise the level to eight.Their main idea is to adopt hyperbolic trigonometric 1-forms to replace the ordinary trigonometric ones used in the non-alternating setting.展开更多
In this paper we show that the leading coeficient μ(y,w) of some Kazhdan-Lusztig polynomials Py,w with y,w in an affine Weyl group of type n is n + 2.This fact has some consequences on the dimension of first extensio...In this paper we show that the leading coeficient μ(y,w) of some Kazhdan-Lusztig polynomials Py,w with y,w in an affine Weyl group of type n is n + 2.This fact has some consequences on the dimension of first extension groups of finite groups of Lie type with irreducible coefficients.展开更多
In this paper,we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the formxi(aij(xε)uεx(jx))=f(x).Assuming n=2 and u0∈W 1,∞(Ω),we present an...In this paper,we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the formxi(aij(xε)uεx(jx))=f(x).Assuming n=2 and u0∈W 1,∞(Ω),we present an error estimate between the homogenization solution u0(x)and the exact solution uε(x)on the Sobolev space L∞(Ω).展开更多
Letλ(n)be the n-th normalized Fourier coeficient of a holomorphic Hecke eigenform f(z)∈Sk(Γ)for the full modular group.In one of his papers,Sankaranarayanan mentioned that it is an open problem to give a non-trivia...Letλ(n)be the n-th normalized Fourier coeficient of a holomorphic Hecke eigenform f(z)∈Sk(Γ)for the full modular group.In one of his papers,Sankaranarayanan mentioned that it is an open problem to give a non-trivial estimate for the sum ofλ(n)over cubes,i.e.n xλ(n3).In this paper,we are able to use the analytic properties of symmetric power L-functions to solve his problem.More precisely,we prove thatΣn≤zλ(n3)【【x(3/4+ε),Σn≤zλ(n4)【【x(97+ε).展开更多
This paper is devoted to the solvability of Markovian quadratic backward stochastic differential equations(BSDEs for short)with bounded terminal conditions.The generator is allowed to have an unbounded sub-quadratic g...This paper is devoted to the solvability of Markovian quadratic backward stochastic differential equations(BSDEs for short)with bounded terminal conditions.The generator is allowed to have an unbounded sub-quadratic growth in the second unknown variable z.The existence and uniqueness results are given to these BSDEs.As an application,an existence result is given to a system of coupled forward-backward stochastic differential equations with measurable coefficients.展开更多
文摘Switched reluctance motors(SRM)with full-pitch windings and segmental rotors are particularly suitable for the drive systems in aerospace environments because of low wind(oil)resistance and iron losses at high speed.In this paper,the authors have been studying electromagnetic design of this motor.
基金supported by the National Natural Science Foundation of China (No. J07240003, No. 60773084, No. 60603023)National Research Fund for the Doctoral Program of Higher Education of China (No. 20070151009)
文摘The typical model, which involves the measures： support, confidence, and interest, is often adapted to mining association rules. In the model, the related parameters are usually chosen by experience; consequently, the number of useful rules is hard to estimate. If the number is too large, we cannot effectively extract the meaningful rules. This paper analyzes the meanings of the parameters and designs a variety of equations between the number of rules and the parameters by using regression method. Finally, we experimentally obtain a preferable regression equation. This paper uses multiple correlation coeficients to test the fitting efiects of the equations and uses significance test to verify whether the coeficients of parameters are significantly zero or not. The regression equation that has a larger multiple correlation coeficient will be chosen as the optimally fitted equation. With the selected optimal equation, we can predict the number of rules under the given parameters and further optimize the choice of the three parameters and determine their ranges of values.
基金part of the project 61378092 supported by NSFC and also funded by the construction,project,"Microwave Ablation Clinical Application Exploration in the Comprehensive Treatment of Cancer",based on the researchplat form of the Afiliated Tumor Hospital of Xiangya Medical College,Central South Universitythe Funding of Jiangsu Innovation Program for Graduate Education(No.CXLX13_147)the Fundamental Research Funds for the Central Universities.
文摘Microwave ablation(MWA)status monitoring in real time plays a key role in assessment of therapeutic fectiveness.As a novel realtime assessment method,near infrared spectroscopy(NIRs)was used to evaluate the ablation eficacy.MWA experiments were carried out on in vitroporcine livers.An optical measurement system for biological tissue is developed by our lab tomonitor reduced scattering coefficient(μ')at 690 nm of the coagulation zones.It is noted that p's of liver tissue,which increases as the liver tissue being ablated,is clearly related with the co-agulation status.μ's of normal tissue and coagulated tissue is 3-5 and 17-19 cm-1,respectively.Continuous changes ofμ's demonstrate that optical parameter can be used as an efficacy evaluation factor because it essentially indicates the degree of thermal damage.Compared withtemperat ure,optical parameter is more sensitive and accurate,which is promising for real-timetherapeutic eficacy assessment in MWA.
文摘Well-Posedness for McKean-Vlasov SDEs Driven by Multiplicative Stable Noises Changsong Deng Xi ng Huang Abstract We establish the well-posedness for a class of McKean-Vlasov SDEs driven by symmetric Q-stable Levy processes(1/2<α≤1),where the drift coefficient is Holder continuous in space variable,while the noise coeficient is Lipscitz continuous in space variable,and both of them satisfy the Lipschitz condition in distribution variable with respect to Wasserstein distance.If the drift coefficient does not depend on distribution variable,our methodology developed in this paper applies to the caseαe(0,1].The main tool relies on heat kernel estimates for(distribution independent)stable SDEs and Banach's fixed point theorem.
基金supported by the National Natural Science Foundation of China(No.12101008)the Natural Science Foundation of Anhui Province(No.2108085QA01)the Jacobs Prize from the Bishop’s School。
文摘Apéry-type(inverse)binomial series have appeared prominently in the calculations of Feynman integrals in recent years.In their previous work,the authors showed that a few large classes of the non-alternating Ape′ry-type(inverse)central binomial series can be evaluated using colored multiple zeta values of level four(i.e.,special values of multiple polylogarithms at the fourth roots of unity)by expressing them in terms of iterated integrals.In this sequel,the authors will prove that for several classes of the alternating versions they need to raise the level to eight.Their main idea is to adopt hyperbolic trigonometric 1-forms to replace the ordinary trigonometric ones used in the non-alternating setting.
基金supported by National Natural Science Foundation of China (Grant No.10671193)
文摘In this paper we show that the leading coeficient μ(y,w) of some Kazhdan-Lusztig polynomials Py,w with y,w in an affine Weyl group of type n is n + 2.This fact has some consequences on the dimension of first extension groups of finite groups of Lie type with irreducible coefficients.
基金supported by National Natural Science Foundation of China(Grant Nos.60971121,10590353,90916027,10725210)Major State Basic Research Development Program of China(973Program)(Grant No.2010CB832702)+1 种基金the State Key Laboratory of Science and Engineering Computing,Natural Science Foundation of Zhejiang Province,China(Grant No.Y6090108)Postdoctoral Science Foundation of China(Grant No.20090451454)
文摘In this paper,we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the formxi(aij(xε)uεx(jx))=f(x).Assuming n=2 and u0∈W 1,∞(Ω),we present an error estimate between the homogenization solution u0(x)and the exact solution uε(x)on the Sobolev space L∞(Ω).
基金supported by National Natural Science Foundation of China(Grant No.10701048)Natural Science Foundation of Shandong Province(Grant No.ZR2009AM007)and IIFSDU
文摘Letλ(n)be the n-th normalized Fourier coeficient of a holomorphic Hecke eigenform f(z)∈Sk(Γ)for the full modular group.In one of his papers,Sankaranarayanan mentioned that it is an open problem to give a non-trivial estimate for the sum ofλ(n)over cubes,i.e.n xλ(n3).In this paper,we are able to use the analytic properties of symmetric power L-functions to solve his problem.More precisely,we prove thatΣn≤zλ(n3)【【x(3/4+ε),Σn≤zλ(n4)【【x(97+ε).
基金supported by the National Natural Science Foundation of China(Nos.11631004,12031009).
文摘This paper is devoted to the solvability of Markovian quadratic backward stochastic differential equations(BSDEs for short)with bounded terminal conditions.The generator is allowed to have an unbounded sub-quadratic growth in the second unknown variable z.The existence and uniqueness results are given to these BSDEs.As an application,an existence result is given to a system of coupled forward-backward stochastic differential equations with measurable coefficients.
