We find upper bounds for the rate of convergence when the EulerMaruyama approximation is used in order to compute the expectation of nonsmooth functionals of some stochastic differential equations whose diffusion coefficient is constant, whereas the drift coefficient may be very irregular. As a byproduct of our method, we establish the weak order of the EulerMaruyama approximation for a diffusion processes killed when it leaves an open set. We also apply our method to the study of the weak approximation of reflected stochastic differential equations whose drift is H¨older continuous.

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for students to refresh their arithmetic skills in order toparticipate in educational and vocational endeavors.In all of the department’s course offerings, there is astrong commitment to training the student in analyticaland logical thinking skills as part of a problem-solvingattitude which can be transferred outside the formalclassroom setting.Program Student Learning OutcomesStudents who successfully complete the coursesequence required to obtain the Associate in ArtsDegree in Mathematics will be prepared to continuetheir studies at transfer institutions in Mathematics,Physics, Engineering, Chemistry, Life and SocialSciences, Computer Science and Economics.Students majoring in Mathematics will:2. Use mathematical reasoning to solveproblems and apply a variety of problemsolving approaches to find and interpretsolutions.3. Use mathematics to model and solveproblems in the sciences.4. Use appropriate technology to enhance theirmathematical thinking and understanding,solve mathematical problems, and interprettheir results.5. Use the language and notation of differentialand integral calculus correctly, and useappropriate style and format in written work.6. Recognize the roles of definitions, axioms andtheorems, and identify and construct valid

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This book is the result of a sequence of two courses given in the School of Appliedand Engineering Physics at Cornell University. The intent of these courses has beento cover a number of intermediate and advanced topics in applied mathematics thatare needed by science and engineering majors. The courses were originally designedfor junior level undergraduates enrolled in Applied Physics, but over the years theyhave attracted students from the other engineering departments, as well as physics,chemistry, astronomy and biophysics students. Course enrollment has also expandedto include freshman and sophomores with advanced placement and graduate studentswhose math background has needed some reinforcement.While teaching this course, we discovered a gap in the available textbooks we feltappropriate for Applied Physics undergraduates. There are many good introductorycalculus books. One such example is Calculus andAnalytic Geometry by Thomas andFinney, which we consider to be a prerequisitefor our book. There are also many goodtextbooks covering advanced topics in mathematical physics such as MathematicalMethods for Physicists by Arfken. Unfortunately,these advanced books are generallyaimed at graduate students and do not work well for junior level undergraduates. Itappeared that there was no intermediate book which could help the typical studentmake the transition between these two levels. Our goal was to create a book to fillthis need.The material we cover includes intermediate topics in linear algebra, tensors,curvilinearcoordinatesystems,complex variables, Fourier series, Fourier and Laplacetransforms, differential equations, Dirac delta-functions, and solutions to Laplace’sequation. In addition, we introduce the more advanced topics of contravariance andcovariance in nonorthogonal systems, multi-valued complex functions described withbranch cuts and Riemann sheets, the method of steepest descent, and group theory.These topics are presented in a unique way, with a generous use of illustrations andV

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INTRODUCTIONCourse DescriptionThis is a two-day hands-on course designed to provide you with maximum hands-on application of EnginePerformance systems theory and operation as well as the relationships between systems and system types duringnormal operating conditions. The first day is a combination of instructor review and lecture, instructor-leddemonstrations, and hands-on workstations. The second day is a continuation of the hands-on workstations andculminates in the final exam.Course ObjectivesUpon completion of the Engine Performance Theory and Operation classroom, you will be able to:lReview Critical Concepts from the prerequisite WBT courses– Explain the critical concepts of Ignition Systems theory and operations– Explain the critical concepts of Fuel and Air Inlet System theory operations– Explain the critical concepts of Exhaust/Emissions Systems theory operations– Explain the relationships between the Air, Fuel, Ignition, and Exhaust/Emissions systems– Explain the purpose and function of the OBD II monitorslLocate appropriate information in the Ford Electronic Publications SystemlPerform and interpret measurement results using specific diagnostic tools– Perform and interpret measurement results for normal systems operations– Perform measurements on system operations under certain conditions– Select PIDs– Monitor systems operations using PID values– Perform Spark Duration and Peak kV tests

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Lecture Physical modeling in MATLAB has contents: Variables and values, scripts, loops, vectors, functions, zerofinding, functions of vectors, ordinary differential equations, systems of ODEs, secondorder systems, optimization and interpolation,...and other contents.

Chapter 1 first introduces the systems development life cycle (SDLC), the fundamental fourphase model (planning, analysis, design, and implementation) common to all information system development projects. Second, it describes the evolution of system development methodologies. Third, the chapter overviews objectoriented systems analysis and design and describes the Unified Process and its extensions.

The GUINEVERE project was launched in 2006, within the 6th Euratom Framework Program IP-EUROTRANS, in order to study the feasibility of transmutation in Accelerator Driven subcritical Systems (ADS).

t. The stability analysis for linear implicit mth order difference equations is discussed. We allow the leading coefficient coefficient to be singular, i.e., we include the situation that the system does not generate an explicit recursion. A spectral condition for the characterization of asymptotic stability is presented and computable formulas are derived for the real and complex stability radii in the case that the coefficient matrices are subjected to structured perturbations

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Chapter 17 Objectoriented design and modeling using the UML. This is the second of two chapters on objectoriented tools and techniques for systems development. This chapter focuses specifically on tools and techniques that are used during systems design.

Journal of ELECTRONIC MATERIALSDOI: 10.1007/s11664-015-4314-3Ó 2015 The Minerals, Metals & Materials SocietyApplication of Graphene Oxide-MnFe2O4 MagneticNanohybrids as Magnetically Separable Adsorbent for HighlyEfficient Removal of Arsenic from WaterPHAM THI LAN HUONG,1 LE THANH HUY,1,2 VU NGOC PHAN,1TRAN QUANG HUY,3 MAN HOAI NAM,4 VU DINH LAM,4and ANH-TUAN LE1,51.—Department of Nanoscience and Nanotechnology, Advanced Institute for Science and Technology (AIST), Hanoi University of Science and Technology (HUST), No. 1, Dai Co Viet Street, HaiBa Trung District, Hanoi, Vietnam. 2.—Faculty of Chemistry and Environment Technology, HungYen University of Technology and Education, Khoai Chau, Hung Yen, Vietnam. 3.—NationalInstitute of Hygiene and Epidemiology (NIHE), 1-Yersin Street, Hai Ba Trung District, Hanoi,Vietnam. 4.—Institute of Materials Science, Vietnam Academy of Science and Technology (VAST),18 Hoang Quoc Viet, Hanoi, Vietnam. 5.—e-mail: tuan.leanh1@hust.edu.vnIn this work, a functional magnetic nanohybrid consisting of manganese ferrite magnetic nanoparticles (MnFe2O4) deposited onto graphene oxide (GO)nanosheets was successfully synthesized using a modified co-precipitationmethod. The as-prepared GO-MnFe2O4 magnetic nanohybrids were characterized using x-ray diffraction, transmission electron microscopy, Fouriertransformed infrared spectroscopy, and vibrating sample magnetometermeasurements. Adsorption experiments were performed to evaluate theadsorption capacities and efficient removal of arsenic of the nanohybrid andcompared with bare MnFe2O4 nanoparticles and GO nanosheets. Our obtained results reveal that the adsorption process of the nanohybrids was wellfitted with a pseudo-second-order kinetic equation and a Freundlich isothermmodel; the maximum adsorption capacity and removal efficiency of thenanohybrids obtained $240.385 mg/g and 99.9% with a fast response ofequilibrium adsorption time $20 min. The larger adsorption capacity andshorter equilibrium time of the GO-MnFe2O4 nanohybrids showed betterperformance than that of bare MnFe2O4 nanoparticles and GO nanosheets.

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This template was created to provide system and software development projects with a model System and Software Design Description (SSDD) that incorporates both architectural views and detailed design criteria. The template is based on the following documents: 1) CSDS, System and Software Requirements Specification (SSRS) Template, Version 1.1, June 2008, Center for Secure and Dependable Systems, University of Idaho, Moscow, ID, 83844. 2) NRL, Software Requirements Template (SRS), United States Navy Research, Development, Test and Evaluation Division, June 1997, in accordance with the MILSTD498 DID (DIIPSC81433). 3) ISOIECIEEE, IEEE Std 14712000 Systems and software engineering – Recommended practice for architectural description of software intensive systems, First edition 20070715, International Organization for Standardization and International Electrotechnical Commission, (ISOIEC), Case postale 56, CH1211 Genève 20, Switzerland, and The Institute of Electrical and Electronics Engineers, Inc., (IEEE), 445 Hoes Lane, Piscataway, NJ 08854, USA. 4) IEEE, IEEE Std 10161998 Recommended Practice for Software Design Descriptions, 19980923, The Institute of Electrical and Electronics Engineers, Inc., (IEEE) 445 Hoes Lane, Piscataway, NJ 08854, USA. 5) 3) ISOIECIEEE, IEEE Std. 152882008 Systems and Software Engineering – System life cycle processes, Second edition 20080201, International Organization for Standardization and International Electrotechnical Commission, (ISOIEC), Case postale 56, CH1211 Genève 20, Switzerland, and The Institute of Electrical and Electronics Engineers, Inc., (IEEE), 445 Hoes Lane, Piscataway, NJ 08854, USA. 6) ISOIECIEEE, IEEE Std. 122072008, Systems and software engineering – Software life cycle processes, Second edition 20080201, International Organization for Standardization and International Electrotechnical Commission, (ISOIEC), Case postale 56, CH1211 Genève 20, Switzerland, and The Institute of Electrical and Electronics Engineers, Inc., (IEEE), 445 Hoes Lane, Piscataway, NJ 08854, USA.

Xem thêm ………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………….Answers1. I wouldn’t do that if I were you2. If I could have any superpower I would be invisible3. If we had more time we could go to the beach.4. If I told you that I loved you, what would you say?5. If I won the lottery I’d buy a new car.6. If chickens had lips they would talk.7. If you loved me you’d buy it for me.8. I wouldn’t kiss you if you were the last man alive.9. If I had my own helicopter I’d go to France.(Note: The order of the clauses may be reversed.)

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298IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, VOL. 21, NO. 6, JUNE 2011A Dual-Band Bandpass Filter Usinga Single Dual-Mode Ring ResonatorSheng Sun, Member, IEEEAbstract—A simple microstrip ring-resonator is presented fornovel design of dual-band dual-mode bandpass filters with goodisolation and upper-stopband performance. By increasing thelength of the loaded open-circuited stub, the two first-order degenerate modes are excited and slit for the use of the first passband,while one of the third-order degenerate modes moves downwardand forms the second passband together with a second-order degenerate mode. Meanwhile, three transmission zeros are properlytuned for the rejections between the two passbands and in theupper stopband. After installing two coupled-line sections on asquare ring at the two ports with 90 -separation, a dual-band filterwith the two transmission poles in each passband is designed andmeasured. Without adding any additional perturbation elementinside the ring, the measured filter shows good performance forboth in-band matching and outside rejections of the desired dualpassbands.Index Terms—Bandpass filter (BPF), dual-mode dual-band, isolation, ring resonator, transmission zeros.I. INTRODUCTIONICROSTRIP ring resonators have been widely used forapplications in planar circuits, such as filters, antennasand other microwave components [1]. Because of the coexisting of the two degenerate orthogonal modes, a ring resonatorowns the advantages of compact size and high-quality (Q)factor. For the dual-band applications using the dual-mode

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Let P(D) be the differential operator generated by a polynomial P, and let U P 2 be the class of multivariate periodic functions f such that kP(D)(f)k2 6 1. The problem of computing the asymptotic order of the Kolmogorov nwidths dn(U P 2 , L2) in the general case when U P 2 is compactly embedded into L2 has been open for a long time. In the present paper, we solve it in the case when P(D) is nondegenerate

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A simulation is the imitation of the operation of a realworld process or system over time. Whether done by hand or on a computer, simulation involves the generation of an artificial history of a system and the observation of that artificial history to draw inferences concerning the operating characteristics of the real system. The behavior of a system as it evolves over time is studied by developing a simulation model. This model usually takes the form of a set of assumptions concerning the operation of the system. These assumptions are expressed in mathematical, logical, and symbolic relationships between the entities, or objects of interest, of the system. Once developed and validated, a model can be used to investigate a wide variety of what if questions about the realworld system. Potential changes to the system can first be simulated, in order to predict their impact on system performance. Simulation can also be used to study systems in the design stage, before such systems are built. Thus, simulation modeling can be used both as an analysis tool for predicting the effect of changes to existing systems and as a design tool to predict the performance of new systems under varying sets of circumstances. In some instances, a model can be developed which

Xem thêm The main objective of the present note is to study positive solutions of the following interesting system of integral equations in Rn u(x) = Z Rn |x − y| p v(y) −q dy, v(x) = Z Rn |x − y| pu(y) −q dy, (0.1) with p, q > 0 and n > 1. Under the nonnegative Lebesgue measurability condition for solutions (u, v) of (0.1), we prove that pq = p+2n and that u and v are radially symmetric and monotone decreasing about some point. To prove this, we introduce an integral form of the method of moving spheres for systems to tackle (0.1). As far as we know, this is the first attempt to use the method of moving spheres for systems.

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We study the strong rate of convergence of the tamed EulerMaruyama approximation for onedimensional stochastic differential equations with superlinearly growing drift and H¨older continuous diffusion coef ficients.

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A numerical investigation of turbulent swirling flows through an abrupt expansion tube is reported. The TEFESS code, based on a staggered Finite Volume approach with the standard kε model and first-order numerical schemes built-in, was used to carry out all the computations. The code has been modified in the present work to incorporate the ASM and two second-order numerical schemes. The ASM, which includes the non-gradient convection terms arising from the transformation from Cartesian to cylindrical coordinates, was investigated for isothermal flows by applying it to the flow through an abrupt expansion tube with or without swirl flows. In addition, to investigate the effects of numerical diffusion on the predicted results, two second-order differencing schemes, namely, second-order upwind and the quadratic upstream interpolation, were used to compare with the first-order hybrid scheme.

Xem thêm This paper deals with the problem of global exponential stabilization for a class of nonautonomous cellular neural networks with timevarying delays. The system under consideration is subject to timevarying coefficients and timevaying delays. Two cases of timevarying delays are considered: (i) the delays are differentiable and has an upper bound of the delayderivative; (ii) the delays are bounded but not necessary to be differentiable. Based on LyapunovKrasovskii functional method combined with the used of Razumikhin technique, we establish new delaydependent conditions to design memoryless state feedback controller for exponential stabilizing the system. The derived conditions are formulated in terms of the solution of Riccati differential equations, which allow to simultaneously calculate the bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the effectiveness of our results

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(BQ) Part 1 book Basic engineering mathematics has contents: Basic arithmetic; fractions, decimals and percentages; indices, standard form and engineering notation; calculations and evaluation of formulae; computer numbering systems; simple equations,...and other contents.