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Relevant bibliographies by topics / Semi-algebraic functions

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Academic literature on the topic 'Semi-algebraic functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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Journal articles on the topic "Semi-algebraic functions"

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Dutertre, Nicolas. "On the topology of semi-algebraic functions on closed semi-algebraic sets." Manuscripta Mathematica 139, no. 3-4 (2012): 415–41. http://dx.doi.org/10.1007/s00229-011-0523-0.

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Drusvyatskiy, D., and A. S. Lewis. "Semi-algebraic functions have small subdifferentials." Mathematical Programming 140, no. 1 (2012): 5–29. http://dx.doi.org/10.1007/s10107-012-0624-x.

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Lasserre, Jean B., and Mihai Putinar. "Positivity and Optimization for Semi-Algebraic Functions." SIAM Journal on Optimization 20, no. 6 (2010): 3364–83. http://dx.doi.org/10.1137/090775221.

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Monnier, Jean-Philippe. "Semi-algebraic geometry with rational continuous functions." Mathematische Annalen 372, no. 3-4 (2018): 1041–80. http://dx.doi.org/10.1007/s00208-018-1679-7.

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HE, YeFeng, and WenPing MA. "On Balanced Semi-Bent Functions with High Algebraic Degrees." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A, no. 3 (2011): 1019–22. http://dx.doi.org/10.1587/transfun.e94.a.1019.

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He, Yefeng, and Wenping Ma. "Construction of semi-bent functions with high algebraic degrees." Wuhan University Journal of Natural Sciences 15, no. 6 (2010): 476–78. http://dx.doi.org/10.1007/s11859-010-0687-6.

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Chambille, Saskia, Pablo Cubides Kovacsics, and Eva Leenknegt. "Exponential-constructible functions in P-minimal structures." Journal of Mathematical Logic 20, no. 02 (2019): 2050005. http://dx.doi.org/10.1142/s0219061320500051.

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Exponential-constructible functions are an extension of the class of constructible functions. This extension was formulated by Cluckers and Loeser in the context of semi-algebraic and sub-analytic structures, when they studied stability under integration. In this paper, we will present a natural refinement of their definition that allows for stability results to hold within the wider class of [Formula: see text]-minimal structures. One of the main technical improvements is that we remove the requirement of definable Skolem functions from the proofs. As a result, we obtain stability in particul

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Drusvyatskiy, D., and A. D. Ioffe. "Quadratic growth and critical point stability of semi-algebraic functions." Mathematical Programming 153, no. 2 (2014): 635–53. http://dx.doi.org/10.1007/s10107-014-0820-y.

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RASHIDINIA, J., and ALI PARSA. "SEMI-ORTHOGONAL SPLINE SCALING FUNCTIONS FOR SOLVING HAMMERSTEIN INTEGRAL EQUATIONS." International Journal of Wavelets, Multiresolution and Information Processing 09, no. 03 (2011): 427–43. http://dx.doi.org/10.1142/s0219691311004134.

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We developed a new numerical procedure based on the quadratic semi-orthogonal B-spline scaling functions for solving a class of nonlinear integral equations of the Hammerstein-type. Properties of the B-spline wavelet method are utilized to reduce the Hammerstein equations to some algebraic equations. The advantage of our method is that the dimension of the arising algebraic equation is 10 × 10. The operational matrix of semi-orthogonal B-spline scaling functions is sparse which is easily applicable. Error estimation of the presented method is analyzed and proved. To demonstrate the validity an

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Pham, Tien-Son. "Local Minimizers of Semi-Algebraic Functions from the Viewpoint of Tangencies." SIAM Journal on Optimization 30, no. 3 (2020): 1777–94. http://dx.doi.org/10.1137/19m1237466.

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Dissertations / Theses on the topic "Semi-algebraic functions"

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Dixon, James William Blair. "Rings of semi-algebraic functions on the line." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/rings-of-semialgebraic-functions-on-the-line(a5ec78af-26f4-4770-816f-32a6fcfbde0f).html.

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Phillips, Laura Rose. "Some structures interpretable in the ring of continuous semi-algebraic functions on a curve." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/some-structures-interpretable-in-the-ring-of-continuous-semialgebraic-functions-on-a-curve(f5a52f43-1bf2-42da-85c0-22847a35dcfc).html.

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Rota, Aldo. "From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions." Thesis, University of Reading, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.631705.

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We derive necessary and sufficient conditions for an infinite sequence of Radon measures to be realized by, or to be the sequence of moment functions of, a finite measure concentrated on a pre-given basic semi-algebraic subset of the space of generalized functions on Rd A set of such a kind is given by (not necessarily countable many) polynomial constraints. We get realizability conditions of semi definite type that can be more easily and efficiently verified, via semi definite programming, than the well-known Riesz-Haviland type condition. As a consequence, we characterize the support of the

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Djalal, Boris. "Formalisations en Coq pour la décision de problèmes en géométrie algébrique réelle." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4206.

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Un problème de géométrie algébrique réelle s'exprime sous forme d’un système d’équations et d’inéquations polynomiales, dont l’ensemble des solutions est un ensemble semi-algébrique. L'objectif de cette thèse est de montrer comment les algorithmes de ce domaine peuvent être décrits formellement dans le langage du système de preuve Coq.Un premier résultat est la définition formelle et la certification de l’algorithme de transformation de Newton présentée dans la thèse d'A. Bostan. Ce travail fait intervenir non seulement des polynômes, mais également des séries formelles tronquées. Un deuxième

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Books on the topic "Semi-algebraic functions"

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Schwartz, Niels, and James J. Madden. Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093968.

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Roe, John. Winding around: The winding number in topology, geometry, and analysis. American Mathematical Society, 2015.

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Madden, James J., and Niels Schwartz. Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics). Springer, 1999.

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Book chapters on the topic "Semi-algebraic functions"

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Schwartz, Niels, and James J. Madden. "Semi-algebraic functions." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093976.

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Schwartz, Niels, and James J. Madden. "Discontinuous semi-algebraic functions." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093991.

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Schwartz, Niels, and James J. Madden. "Functions and representable porings." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093975.

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Schwartz, Niels, and James J. Madden. "Rings of continuous piecewise polynomial functions." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093989.

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Schwartz, Niels, and James J. Madden. "Rings of continuous piecewise rational functions." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093990.

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Schwartz, Niels, and James J. Madden. "Introduction." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093969.

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Schwartz, Niels, and James J. Madden. "Preordered and partially ordered rings." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093970.

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Schwartz, Niels, and James J. Madden. "Reflective subcategories." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093971.

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Schwartz, Niels, and James J. Madden. "Totally ordered and real closed fields." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093972.

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Schwartz, Niels, and James J. Madden. "Real spectra of preordered rings." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093973.

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Conference papers on the topic "Semi-algebraic functions"

1

Djalal, Boris. "A constructive formalisation of Semi-algebraic sets and functions." In the 7th ACM SIGPLAN International Conference. ACM Press, 2018. http://dx.doi.org/10.1145/3176245.3167099.

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Djalal, Boris. "A constructive formalisation of Semi-algebraic sets and functions." In CPP '18: Certified Proofs and Programs. ACM, 2018. http://dx.doi.org/10.1145/3167099.

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Slagel, J. Tanner, Lauren White, and Aaron Dutle. "Formal verification of semi-algebraic sets and real analytic functions." In CPP '21: 10th ACM SIGPLAN International Conference on Certified Programs and Proofs. ACM, 2021. http://dx.doi.org/10.1145/3437992.3439933.

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Deshmukh, Venkatesh. "Stability Analysis and Computation of Solutions of Nonlinear Delay Differential Algebraic Equations With Time Periodic Coefficients." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35263.

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Stability theory of Nonlinear Delay Differential Algebraic Equations (DDAE) with periodic coefficients is proposed with a geometric interpretation of the evolution of the linearized system. First, a numerical algorithm based on direct integration by expansion in terms of Chebyshev polynomials is derived for linear analysis. The proposed algorithm is shown to have deeper connections with and computationally less cumbersome than the solution of the underlying semi-explicit system via a similarity transformation. The stability of time periodic DDAE systems is characterized by the spectral radius

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Yuan, Chengzhi, Fen Wu, and Chang Duan. "Cooperative Output Regulation of Multi-Agent Systems With Switched Leader Dynamics via Smooth Switching." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5055.

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This paper deals with the leader-following cooperative output regulation problem for heterogeneous multi-agent systems by considering a switched leader dynamics. The switched leader dynamics is composed by multiple linear models and a switching rule governing the switches among them, which is capable of generating more diverse and sophisticated reference signals so as to enhance the multi-agent system’s capability in coping with more complicated coordination tasks. A novel distributed switching control scheme, namely, the smooth switching control strategy, is proposed to achieve cooperative ou

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Walters, William P., and Cyril L. Williams. "The Influence of Armor Material Parameters on the Penetration by Long-Rod Projectiles." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93716.

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The Alekseevski-Tate equations have long been used to predict the penetration, penetration velocity, rod velocity, and rod erosion of long-rod projectiles or kinetic-energy penetrators [1]. These nonlinear equations were originally solved numerically, then by the exact analytical solution of Walters and Segletes [2, 3]. However, due to the nonlinear nature of the equations, the penetration was obtained implicitly as a function of time, so that an explicit functional dependence of the penetration on material properties was not obtained. Walters and Williams [4, 5, 6] obtained the velocities, le

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Wang, Guoqing, Liming Dai, and Diankui Liu. "The Scattering Field of SH-Wave in Half-Space With a Semi-Cylindrical Hill and a Horizontal Circular Tunnel." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80117.

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The scattering field of SH-wave in a half-space with a semi-cylindrical hill and a subsurface horizontal hole is studied in the present research by utilizing a complex function and the moving-coordinate method. Based on the concept of ‘conjunction,’ the domain considered is divided into two subdomains. The first subdomain is a cylindrical one which includes the surface of the hill, while the rest is the second subdomain. In the cylindrical subdomain, a standing wave function is constructed which automatically satisfies the zero-stress condition at the hill surface and arbitrary-stress conditio

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McMasters, Robert L., Filippo de Monte, James V. Beck, and Donald E. Amos. "Transient Two-Dimensional Heat Conduction Problem With Partial Heating Near Corners." In ASME 2016 Heat Transfer Summer Conference collocated with the ASME 2016 Fluids Engineering Division Summer Meeting and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ht2016-7103.

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This paper provides a solution for two-dimensional heating over a rectangular region on a homogeneous plate. It has application to verification of numerical conduction codes as well as direct application for heating and cooling of electronic equipment. Additionally, it can be applied as a direct solution for the inverse heat conduction problem, most notably used in thermal protection systems for re-entry vehicles. The solutions used in this work are generated using Green’s functions. Two approaches are used which provide solutions for either semi-infinite plates or finite plates with isotherma

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Zhou, Jianping, and Zhigang Feng. "Transient Response of Distributed Parameter Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4080.

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Abstract A semi-analytic method is presented for the analysis of transient response of distributed parameter systems which are consist of one dimensional subsystems. The system is first divided into one dimensional sub-systems. Within each subsystem, replacing differentials on time t by finite difference, the governing partial differential equations are reduced to difference-differential equations. The solution of derived ordinary differential equations is obtained in an exact and closed form by distributed transfer function method and represented in nodal displacement parameters. Assemling gl

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Rai, K. N., and D. C. Rai. "A Finite Element Method for the Solution of Free Boundary Problem." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56777.

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A finite element method is presented for the solution of a free boundary problem which arises during planar melting of a semi-infinite medium initially at a temperature which is slightly below the melting temperature of the solid. The surface temperature is assumed to vary with time. Two different situations are considered (I) when thermal diffusivity is independent of temperature and (II) when thermal diffusivity varies linearly with temperature. The differential equation governing the process is converted to initial value problem of vector matrix form. The time function is approximated by Ch

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