Conferences related to Polynomials

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2019 IEEE 15th International Conference on Automation Science and Engineering (CASE)

The conference is the primary forum for cross-industry and multidisciplinary research in automation. Its goal is to provide a broad coverage and dissemination of foundational research in automation among researchers, academics, and practitioners.

2019 IEEE 58th Conference on Decision and Control (CDC)

The CDC is recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, systems and control, and related areas.The 58th CDC will feature contributed and invited papers, as well as workshops and may include tutorial sessions.The IEEE CDC is hosted by the IEEE Control Systems Society (CSS) in cooperation with the Society for Industrial and Applied Mathematics (SIAM), the Institute for Operations Research and the Management Sciences (INFORMS), the Japanese Society for Instrument and Control Engineers (SICE), and the European Union Control Association (EUCA).

2019 IEEE Industry Applications Society Annual Meeting

The Annual Meeting is a gathering of experts who work and conduct research in the industrial applications of electrical systems.

2019 IEEE International Electric Machines & Drives Conference (IEMDC)

The IEEE International Electric Machines and Drives Conference (IEMDC) has been established to be one of the major events in the field of electrical machines and drives. IEMDC is a refernce forum to disseminate and exchange state of art in the filed of the Electrical Machines and Drives. The 2018 edition started in 1997 and the 2019 edition will be 11th one.

2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting

The conference is intended to provide an international forum for the exchange of information on state-of-the-art research in antennas, propagation, electromagnetics, and radio science.

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Periodicals related to Polynomials

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Antennas and Propagation, IEEE Transactions on

Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.

Antennas and Wireless Propagation Letters, IEEE

IEEE Antennas and Wireless Propagation Letters (AWP Letters) will be devoted to the rapid electronic publication of short manuscripts in the technical areas of Antennas and Wireless Propagation.

Applied Superconductivity, IEEE Transactions on

Contains articles on the applications and other relevant technology. Electronic applications include analog and digital circuits employing thin films and active devices such as Josephson junctions. Power applications include magnet design as well asmotors, generators, and power transmission

Audio, Speech, and Language Processing, IEEE Transactions on

Speech analysis, synthesis, coding speech recognition, speaker recognition, language modeling, speech production and perception, speech enhancement. In audio, transducers, room acoustics, active sound control, human audition, analysis/synthesis/coding of music, and consumer audio. (8) (IEEE Guide for Authors) The scope for the proposed transactions includes SPEECH PROCESSING - Transmission and storage of Speech signals; speech coding; speech enhancement and noise reduction; ...

Automatic Control, IEEE Transactions on

The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The word `systems' as used herein shall be interpreted to include physical, biological, organizational and other entities and combinations thereof, which can be represented through a mathematical symbolism. The Field of Interest: shall ...

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Most published Xplore authors for Polynomials

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Xplore Articles related to Polynomials

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On the equivalent keys in multivariate cryptosystems

[{u'author_order': 1, u'affiliation': u'Institute for Advanced Study, Tsinghua University, Beijing 100084, China', u'full_name': u'Mingjie Liu'}, {u'author_order': 2, u'affiliation': u'Institute for Advanced Study, Tsinghua University, Beijing 100084, China', u'full_name': u'Lidong Han'}, {u'author_order': 3, u'affiliation': u'Institute for Advanced Study, Tsinghua University, Beijing 100084, China', u'full_name': u'Xiaoyun Wang'}] Tsinghua Science and Technology, 2011

The number of equivalent keys in multivariate cryptosystem is closely related to the scheme security. This study analyzes the structure of the private key space in some multivariate schemes. The result gives the lower bounds on the number of equivalent keys of some variants of the hidden field equation (HFE) scheme including plus, minus-plus, embedding, and internal perturbation. This method ...

Comments on "A simple stability test for 2-D systems" by G.E. Antoniou et al

[{u'author_order': 1, u'affiliation': u'Dept. of Electr. & Electron. Eng., Middle East Tech. Univ., Ankara, Turkey', u'full_name': u'A.A. Kara'}, {u'author_order': 2, u'affiliation': u'Dept. of Electr. & Electron. Eng., Middle East Tech. Univ., Ankara, Turkey', u'full_name': u'Z. Unver'}] IEEE Transactions on Circuits and Systems, 1991

For original paper see ibid., vol.37, p.972-4 (1990). It is shown with an example that the stability test for all-pole 2-D systems given in the above- mentioned paper is not correct.<<ETX>>

Phase Conjugate Oscillation In A Kerr Medium In The Presence Of Pump Depletion

[{u'author_order': 1, u'affiliation': u'Martin Marietta Laboratories', u'authorUrl': u'', u'full_name': u'S. Guha', u'id': 37270988900}, {u'author_order': 2, u'authorUrl': u'', u'full_name': u'P. Conner', u'id': 37990024400}] Digest on Nonlinear Optics: Materials, Phenomena and Devices, 1990


A polynomial-time, submodular extension to Roundy's 98% effective heuristic for production/inventory

[{u'author_order': 1, u'affiliation': u'IEEE, icrob', u'authorUrl': u'', u'full_name': u'M. Queyranne', u'id': 37975216500}] Proceedings. 1986 IEEE International Conference on Robotics and Automation, 1986


Multiresolution analysis using orthogonal polynomial approximation

[{u'author_order': 1, u'affiliation': u'Department of Electrical Engineering, Indian Institute of Technology Kanpur, KANPUR 208 016, India', u'full_name': u'Rupendra Kumar'}, {u'author_order': 2, u'affiliation': u'Department of Electrical Engineering, Indian Institute of Technology Kanpur, KANPUR 208 016, India', u'full_name': u'Pradip Sircar'}] 1996 8th European Signal Processing Conference (EUSIPCO 1996), 1996

Multiresolution decomposition of signals has been conventionally carried out by the wavelet representation. In this paper, the orthogonal polynomial approximation has been employed for multiresolution analysis. It is demonstrated that the proposed technique based on polynomial approximation has certain distinct advantages over the conventional method employing wavelet representation.

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Educational Resources on Polynomials

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  • Computer‐Aided Synthesis of Characteristic Polynomials

    This chapter discusses the synthesis of the characteristic polynomials of lowpass lossless prototype filters using an efficient computer‐aided optimization technique. It specifies an unconstrained artificial function for the optimization process that includes the objective function, as well as the inequality and equality constraints. The chapter develops the appropriate objective functions for optimization to generate the known classes of filter functions. The technique described for the computer‐aided optimization of characteristic polynomials for minimum phase filters is equally applicable for linear phase filters, both symmetric and asymmetric. The efficiency of this procedure is demonstrated by including examples of the classical Chebyshev and elliptic function filters as special cases of the design procedure. The computed critical frequencies are specified in Appendix 4A. These data add to the range of unified design charts and also provide guidelines for developing software to synthesize characteristic polynomials for filters with arbitrary amplitude and phase response.

  • Function Approximation Using Polynomials

    This chapter contains sections titled: * Using Lagrange Interpolation * Finding the Optimal Approximation Polynomial * Range Reduction * Subinterval Division * Practical Considerations * Error Studies * Function Approximation Example * Conclusions * References * Editor Comments ]]>

  • Taylor Polynomials

    This chapter contains sections titled: * Problems ]]>

  • C. Derivation of the Chebyshev Polynomials

  • Function Approximation Using Polynomials

    This chapter contains sections titled: * Using Lagrange Interpolation * Finding the Optimal Approximation Polynomial * Range Reduction * Subinterval Division * Practical Considerations * Error Studies * Function Approximation Example * Conclusions * References * Editor Comments ]]>

  • Theory and Applications of Gaussian Quadrature Methods

    Gaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. We study the approximation theory of trigonometric and orthogonal polynomials and related functions and examine the analytical framework of Gaussian quadrature. We discuss Gaussian quadrature for bandlimited functions, a topic inspired by some recent developments in the analysis of prolate spheroidal wave functions. Algorithms for the computation of the quadrature nodes and weights are described. Several applications of Gaussian quadrature are given, ranging from the evaluation of special functions to pseudospectral methods for solving differential equations. Software realization of select algorithms is provided. Table of Contents: Introduction / Approximating with Polynomials and Related Functions / Gaussian Quadrature / Applications / Links to Mathematical Software

  • Partial Derivatives in Arithmetic Complexity and Beyond

    Polynomials are perhaps the most important family of functions in mathematics. They feature in celebrated results from both antiquity and modern times, like the insolvability by radicals of polynomials of degree ? 5 of Abel and Galois, and Wiles' proof of Fermat's "last theorem". In computer science they feature in, e.g., error-correcting codes and probabilistic proofs, among many applications. The manipulation of polynomials is essential in numerous applications of linear algebra and symbolic computation. Partial Derivatives in Arithmetic Complexity and Beyond is devoted mainly to the study of polynomials from a computational perspective. It illustrates that one can learn a great deal about the structure and complexity of polynomials by studying (some of) their partial derivatives. It also shows that partial derivatives provide essential ingredients in proving both upper and lower bounds for computing polynomials by a variety of natural arithmetic models. It goes on to look at applications which go beyond computational complexity, where partial derivatives provide a wealth of structural information about polynomials (including their number of roots, reducibility and internal symmetries), and help us solve various number theoretic, geometric, and combinatorial problems. Partial Derivatives in Arithmetic Complexity and Beyond is an invaluable reference for anyone with an interest in polynomials. Many of the chapters in these three parts can be read independently. For the few which need background from previous chapters, this is specified in the chapter abstract.

  • Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field: Mathematical Model in Bispherical Coordinates

    The investigation of the behavior of ferromagnetic particles in an external magnetic field is important for use in a wide range of applications in magnetostatics problems, from biomedicine to engineering. To the best of the author's knowledge, the systematic analysis for this kind of investigation is not available in the current literature. Therefore, this book contributes a complete solution for investigating the behavior of two ferromagnetic spherical particles, immersed in a uniform magnetic field, by obtaining exact mathematical models on a boundary value problem. While there are a vast number of common numerical and analytical methods for solving boundary value problems in the literature, the rapidly growing complexity of these solutions causes increase usage of the computer tools in practical cases. We analytically solve the boundary value problem by using a special technique called a bispherical coordinates system and the numerical computations were obtained by a computer tool. In addition to these details, we will present step-by-step instructions with simple explanations throughout the book, in an effort to act as inspiration in the reader's own modeling for relevant applications in science and engineering. On the other hand, the resulting analytical expressions will constitute benchmark solutions for specified geometric arrangements, which are beneficial for determining the validity of other relevant numerical techniques. The generated results are analyzed quantitatively as well as qualitatively in various approaches. Moreover, the methodology of this book can be adopted for real-world applications in the fields of ferrohydrodynamics, applied electromagnetics, fluid dynamics, electrical engineering, and so forth. Higher-level university students, academics, engineers, scientists, and researchers involved in the aforementioned fields are the intended audience for this book.

  • Blossoming Development of Splines, A

    In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.

  • Waveguide and Coaxial Lowpass Filters

    This chapter explores the methods for synthesizing the transfer and reflection polynomials, suitable for two important classes of lowpass filter (LPF): the distributed stepped impedance (SI) filter and the mixed lumped/distributed filter. For the synthesis of SI and lumped/distributed LPFs, the microwave structures support only certain types of filter function. Since the main function of an LPF is to reject noise and interfering signals up to frequencies that can be several times the cutoff frequency, preservation of the integrity of the reject bands is critical. A microwave LPF can be realized in rectangular waveguide, coaxial transmission‐line, or planar technology. The synthesis of the prototype network for a lumped/ distributed or SI LPF is a progressive process: extracting the electrical components one by one in sequence from the defining polynomials, building up the ladder network, and finishing when the final component has been extracted and the polynomials are of zero degree.

Standards related to Polynomials

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