APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS IN ELECTRICAL ENGINEERING

is focused on developing computational methods such as kernel-based classifiers and feature selection for genomic and proteomicdata analysis.Sun Kim is an Associate Director of Bioin-formatics Program, an Assistant Professorin School of Informatics, an Associated fac-ulty at the Center[r]

York, NY, USA, 1974.[20] L. Ljung and T. S¨oderstr¨om, Theory and Practice of RecursiveIdentification, MIT Press, Cambridge, Mass, USA, 1983.[21] G. C. Goodwin and K. S. Sin, Adaptive Filtering, Predictionand Control, Prentice Hall, Englewood Cliffs, NJ, USA, 1984.[22] S. Haykin, Adaptive Filte[r]

6.2.3. Theorems about Differentiable Functions. L’Hospital Rule . . . . . . . . . . . . . . . . . 2546.2.4. Higher-Order Derivatives and Differentials. Taylor’s Formula . . . . . . . . . . . . . . . 2556.2.5. Extremal Points. Points of Inflection 2576.2.6. Qualitative Analysis of Functi[r]

spectral geometry is to “ recover ” the maximum amount of information about , purely from the knowledge of the spectrum (λ n ) .
A strikingly simple question is the following. Let 1 and 2 be two bounded domains in R 2 ; suppose that the eigenvalues of the operator −[r]

≥ 0, (g4): g(θ)tendsto∞ as θ tends to −∞,and(g2) are satisfied. Then LCgis a uniform fading memory space; the additional condition(g5): logg(θ) is uniformly continuous on (−∞,0], ensuring that UCgis a uniform fadingmemory space. Precisely, K(t)= sup−t≤θ≤0(1/g(θ)) and M(t) = G(t). Note that for thespa[r]

ceedings. He also wrote the seminal book Biomedical SignalProcessing, (CRC Press, Boca Raton, Fla, 1986).Arnon was diagnosed with Leukemia in 1999, not longafter his beloved wife Yama (Miriam) passed away. He offi-cially retired in 2003, but continued working with his gradu-ate students[r]

Moreover, the author wishes to thank the department of mathematics at Shanghai universitywhich was supported by the Shanghai Leading Academic Discipline Project J50101 and KeyDisciplines of Shanghai Municipality S30104.References1 W. Orlicz, “¨Uber eine gewisse Klasse von R¨aumen[r]

12 Asymptotic boundary value problems for evolution inclusionsthat T has a fixed point, we need to ensure that T is compact or, at least, condensingwith respect to a suitable measure of noncompactness. Due to the compactness of thefirst inclusion, it is sufficient that NFmaps compact sets[r]

Uz)z– kUz+1nU = 0.To the special case of k = 0 there corresponds a separable equation that results in a solution in the form of theproduct of functions with different arguments.The examples considered in Subsections 15.3.2–15.3.4 demonstrate that the exis[r]

RESEARC H Open AccessSome new nonlinear retarded sum-differenceinequalities with applicationsWu-Sheng Wang1*, Zizun Li2and Wing-Sum Cheung3* Correspondence: wang4896@126.com1Department of Mathematics,Hechi University, Guangxi, Yizhou546300, People’s Republic of ChinaFull list of[r]

The authors declare that they have no competing interests.Authors’ contributionsQZ carried out the theoretical proof and drafted the manuscript. XH participated in thedesign and coordination. Both of the two authors read and approved the final manuscript.References[1] Liapunov, AM: Prob[r]

composite tanker trucks have been evaluated on a regular basis for a period of 15 years using theAE technique. The results from these AE studies have shown the feasibility of predicting the futurebehavior of composite systems under fatigue loading. The bridge deck in Figu[r]

EURASIP Journal on Wireless Communications and Networking 2004:1, 1–3c 2004 Hindawi Publishing CorporationEditorialJitendra K. TugnaitDepartment of Electrical and Computer Engineering, Auburn University, Auburn, AL 36849-S201, USAEmail: tugnait@e n g.auburn.eduHui LiuDepartment[r]

y = –2–23Figure 31.9◆EXAMPLE 31.17 An industrial plant produces radioactive material at a constant rate of 4 kilograms per year.The radioactive material decays at a rate proportional to the amount present and has a half-life of 20 years.(a) Write a differential equation whose so[r]

number of CAD for MEMS tools, products, and vendors, MEMS design today still largely consists of working at the whiteboard with colleagues and entering simplified equations into Mathcad, if not writing them by hand on the back of an envelope. Today’s CAD tools are useful[r]

15.5. METHOD OF GENERALIZED SEPARATION OF VARIABLES 6892◦. At the second stage, we successively substitute the Φi(X)andΨj(Y ) of (15.5.1.4)into all solutions (15.5.4.1) to obtain systems of ordinary differential equations* for theunknown functions ϕp(x)andψq[r]

systems with complex structural intricacies with rich dynamic subtleties. However, despite the relatively large number of CAD for MEMS tools, products, and vendors, MEMS design today still largely consists of working at the whiteboard with colleagues and entering simplified equation[r]

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EURASIP Journal on Wireless Communications and Networking 2005:4, 590–598c 2005 Jinho ChoiRandom Sign Repetition Time-HoppingUWB with Multiuser DetectionJinho ChoiSchool of Electrical Engineering and Telecommunications, Faculty of Eng ineering, The University of N[r]

EURASIP Journal on Wireless Communications and Networking 2005:4, 554–564c 2005 X. Liu and M. HaenggiThroughput Analysis of Fading Sensor Networkswith Regular and R andom TopologiesXiaowen LiuDepartment of Electrical Engineering, University of Notre Dame, Notre Da[r]

3w∂y3∂w∂x= ϕ(y) (15.10.1.8)15.14.2. Pfaffian Equations and Their Solutions. Connection withOverdetermined Systems15.14.2-1. Pfaffian equations.A Pfaffian equation is an equation of the formP (x, y, z) dx + Q(x, y, z) dy + R(x, y, z) dz = 0.(15.14.2.1)Equation (15.14.2.1) always has[r]