Relevant bibliographies by topics / Asymptotes

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Asymptotes'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 March 2023

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Journal articles on the topic "Asymptotes"

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Soltan, V. "Cone asymptotes of convex sets." Extracta Mathematicae 36, no. 1 (2021): 81–98. http://dx.doi.org/10.17398/2605-5686.36.1.81.

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Based on the notion of plane asymptote, we introduce the new concept of cone asymptote of a set in the n-dimensional Euclidean space. We discuss the existence and describe some families of cone asymptotes.
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Gray, Wayne D. "Plateaus and Asymptotes." Current Directions in Psychological Science 26, no. 1 (2017): 59–67. http://dx.doi.org/10.1177/0963721416672904.

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One hundred twenty years ago, the emergent field of experimental psychology debated whether plateaus of performance during training were real or not. Sixty years ago, the battle was over whether learning asymptoted or not. Thirty years ago, the research community was seized with concerns over stable plateaus at suboptimal performance levels among experts. Applied researchers viewed this as a systems problem and referred to it as the paradox of the active user. Basic researchers diagnosed this as a training problem and embraced deliberate practice. The concepts of plateaus and asymptotes and the distinction between the two are important as the questions asked and the means of overcoming one or the other differ. These questions have meaning as we inquire about the nature of performance limits in skilled behavior and the distinction between brain capacity and brain efficiency. This article brings phenomena that are hiding in the open to the attention of the research community in the hope that delineating the distinction between plateaus and asymptotes will help clarify the distinction between real versus “spurious limits” and advance theoretical debates regarding learning and performance.
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Katalenić, Ana, Aleksandra Čižmešija, and Željka Milin Šipuš. "Asymptotes of Plane Curves - Revisited." KoG, no. 25 (2021): 78–86. http://dx.doi.org/10.31896/k.25.9.

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In this paper we present a review of the basic ideas and results concerning asymptotic lines of plane curves. We discuss their different definitions, namely that of a limiting position of tangent lines, of the tangent line at infinity, and finally the one that requires that the distance between points of a curve and asymptotic line tends to 0 as the point moves along an infinite branch of the curve. We also recall the method of determining asymptotes of algebraic curves from the leading coefficients in their equation and provide examples.
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Dobbs, David E. "Polynomial asymptotes." International Journal of Mathematical Education in Science and Technology 41, no. 7 (2010): 943–50. http://dx.doi.org/10.1080/0020739x.2010.493231.

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Katalenić, Ana, Aleksandra Čižmešija, and Željka Milin Šipuš. "Asymptote in prospective mathematics teachers’ graphing praxeologiesAsymptote dans les praxéologies graphiques des futurs professeurs de mathématiques." Educação Matemática Pesquisa : Revista do Programa de Estudos Pós-Graduados em Educação Matemática 22, no. 4 (2020): 817–26. http://dx.doi.org/10.23925/1983-3156.2020v22i4p817-826.

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AbstractGraphical representation is one of the fundamental and widely spread representations. We performed a comprehensive research of the didactic transposition of asymptote and asymptotic behaviour in the upper secondary education in Croatia, within the framework of the anthropological theory of the didactics. Our study included textbook analysis, questionnaires with university students and interviews with two mathematicians. In this poster, we present a part of our research with an emphasis on university students’ graphing praxeologies. Results showed that students’ graphing praxeologies differ from scholarly praxeologies. Further, students grounded their praxeologies mostly on their high-school graphing knowledge, even after being exposed to advanced mathematics that could foster their autonomous thinking.Keywords: Prospective mathematics teachers, Function graph, Asymptotes and asymptotic behaviour.RésuméLa représentation graphique est l'une des représentations fondamentales et largement répandues. Nous avons effectué une recherche approfondie de la transposition didactique de l'asymptote et du comportement asymptotique dans l'enseignement secondaire supérieur en Croatie, dans le cadre de la théorie anthropologique du didactique. Notre étude comprenait une analyse de livres scolaires, des questionnaires avec des étudiants de l’universités et un entretien avec deux mathématiciens. Dans cette affiche, nous présenterons une partie de notre recherche en mettant l'accent sur les praxéologies graphiques des étudiants de l’université. Les résultats montrent que les praxéologies graphiques des élèves diffèrent des praxéologies académiques. En outre, les élèves ont fondé leurs praxéologies principalement sur leur connaissance graphique de lycée, même après avoir été exposés à des mathématiques avancées qui pourraient favoriser leur réflexion autonome.Mots-clés: Futurs professeurs de mathématiques, Graphe fonctionnel, Asymptotes et comportement asymptotique.
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Katalenić, Ana, Aleksandra Čižmešija, and Željka Milin Šipuš. "Asymptote in prospective mathematics teachers’ graphing praxeologiesAsymptote dans les praxéologies graphiques des futurs professeurs de mathématiques." Educação Matemática Pesquisa : Revista do Programa de Estudos Pós-Graduados em Educação Matemática 22, no. 4 (2020): 817–26. http://dx.doi.org/10.23925/1983-3156.2020v22i4p817-826.

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AbstractGraphical representation is one of the fundamental and widely spread representations. We performed a comprehensive research of the didactic transposition of asymptote and asymptotic behaviour in the upper secondary education in Croatia, within the framework of the anthropological theory of the didactics. Our study included textbook analysis, questionnaires with university students and interviews with two mathematicians. In this poster, we present a part of our research with an emphasis on university students’ graphing praxeologies. Results showed that students’ graphing praxeologies differ from scholarly praxeologies. Further, students grounded their praxeologies mostly on their high-school graphing knowledge, even after being exposed to advanced mathematics that could foster their autonomous thinking.Keywords: Prospective mathematics teachers, Function graph, Asymptotes and asymptotic behaviour.RésuméLa représentation graphique est l'une des représentations fondamentales et largement répandues. Nous avons effectué une recherche approfondie de la transposition didactique de l'asymptote et du comportement asymptotique dans l'enseignement secondaire supérieur en Croatie, dans le cadre de la théorie anthropologique du didactique. Notre étude comprenait une analyse de livres scolaires, des questionnaires avec des étudiants de l’universités et un entretien avec deux mathématiciens. Dans cette affiche, nous présenterons une partie de notre recherche en mettant l'accent sur les praxéologies graphiques des étudiants de l’université. Les résultats montrent que les praxéologies graphiques des élèves diffèrent des praxéologies académiques. En outre, les élèves ont fondé leurs praxéologies principalement sur leur connaissance graphique de lycée, même après avoir été exposés à des mathématiques avancées qui pourraient favoriser leur réflexion autonome.Mots-clés: Futurs professeurs de mathématiques, Graphe fonctionnel, Asymptotes et comportement asymptotique.
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Yang, Yonghui, Xuebo Chen, and Na Zhang. "Optimizing control of adsorption separation processes based on the improved moving asymptotes algorithm." Adsorption Science & Technology 36, no. 9-10 (2018): 1716–33. http://dx.doi.org/10.1177/0263617418804001.

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We adopt the orthogonal collocation finite element method to solve an equilibrium diffusion model of a simulated moving bed chromatography separation process. We propose an optimization strategy based on the improved moving asymptotes algorithm to improve system performance indexes. By the triangle theory, we verify the feasibility of the improved moving asymptotes method. The simulation results illustrate that the improved moving asymptotes method converges quickly and results in uniformly distributed optimal solutions. This work aims to show that the simulated moving bed process can be dynamically controlled and optimized using an optimizing controller based on the method of improved moving asymptotes, facilitating the design and operation of a simulated moving bed.
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Kérchy, László. "Unitary asymptotes and quasianalycity." Acta Scientiarum Mathematicarum 79, no. 1-2 (2013): 253–71. http://dx.doi.org/10.1007/bf03651408.

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Chen, Z. G., and O. D. Anderson. "Polyvariograms and their Asymptotes." Journal of Time Series Analysis 20, no. 5 (1999): 387–512. http://dx.doi.org/10.1111/1467-9892.00152.

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Goossens, Pierre. "Hyperbolic sets and asymptotes." Journal of Mathematical Analysis and Applications 116, no. 2 (1986): 604–18. http://dx.doi.org/10.1016/s0022-247x(86)80023-3.

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Dissertations / Theses on the topic "Asymptotes"

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Gipson, Michael Eugene. "Asymptotes and metaphors : teaching feminist theory." [Tampa, Fla] : University of South Florida, 2006. http://purl.fcla.edu/usf/dc/et/SFE0001827.

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Larrere, Guy. "Contribution à l'étude asymptotique en analyse statistique multivariée." Pau, 1994. http://www.theses.fr/1994PAUU3026.

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Ce travail est composé de cinq articles qui se répartissent en deux parties. On considère d'abord l'étude asymptotique des éléments propres associés à la valeur propre limite nulle en analyse canonique linéaire. Les lois limites sont complètement explicitées et permettent de généraliser le test de Bartlett de nullité des derniers coefficients canoniques. On montre ensuite que les résultats sont radicalement différents en analyse en composantes principales. Dans ce cas, on obtient, à partir d'une certaine taille d'échantillon et de l'analyse par échantillonnage, les éléments propres associés à la valeur propre limite zéro. Ces résultats sont obtenus sans faire d'hypothèses sur les lois des variables étudiées. La seconde partie est consacrée à l'étude asymptotique des modèles structurels. On réalise d'abord l'étude asymptotique du modèle structurel usuel dans le cadre de l'estimation selon les moindres carres des paramètres du modèle. On propose ensuite un modèle structurel mixte qui permet de généraliser les modèles fonctionnels et structurels usuels. On réalise l'étude asymptotique de ce modèle.
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Nair, Girija Sarada. "College Students’ Concept Images of Asymptotes, Limits, and Continuity of Rational Functions." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1282259818.

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Berdai͏̈, Abdellatif. "Identification de mélanges gaussiens." Toulouse 3, 1994. http://www.theses.fr/1994TOU30190.

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Dans ce travail, nous etudions les performances d'un test d'homogeneite contre une hypothese de melange gaussien dont les deux composants ont la meme variance. La theorie classique du test du rapport de vraisemblance n'est pas applicable car les conditions de regularite habituelles ne sont pas verifiees. Ce travail consiste, d'une part, a generaliser au cas ou l'ecart-type commun aux deux composants est inconnu l'approche developpee par ghosh et sen (1985) pour le calcul de la statistique du test et de sa loi asymptotique, d'autre part, a construire une tabulation approchee en se basant sur une borne suggeree par davies (1977). La puissance de ce test est etudiee par simulations. Elle augmente sensiblement avec la bonne estimation de parametres inconnus sous l'hypothese d'homogeneite et avec une meilleure information a priori sur la distance de mahalanobis entre les deux composants
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Goussanou, Yansounou Lazare Franck. "Etude asymptotique du test du rapport des maximums de vraisemblance dans les mélanges gaussiens." Toulouse 3, 2001. http://www.theses.fr/2001TOU30129.

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Djellit, Ali. "Valeurs propres de problèmes elliptiques indéfinis sur des ouverts non bornés." Toulouse 3, 1992. http://www.theses.fr/1992TOU30072.

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On etudie les problemes aux valeurs propres de la forme: au=g(x)u, dans ir#n; u=0 sur , ou est un ouvert non borne de ir#n, a est un operateur elliptique autoadjoint, non necessairement positif (par exemple a=+q, avec un potentiel q, non necessairement positif) et g, le poids, est une fonction definie sur et qui change de signe. Dans ce travail, on montre l'existence de valeurs propres et on etudie leur comportement asymptotique. Ici a##1 n'est pas compact et l'existence de valeurs propres est due au comportement du poids g a l'infini. Dans le premier chapitre, a designe soit l'operateur de laplace , soit l'operateur de schrodinger a=+q. Pour montrer l'existence des valeurs propres, on introduit les espaces de sobolev a poids et on considere deux cas selon la dimension de n (n>2 et n=2). Des hypotheses de decroissance du poids a l'infini entrainent l'existence d'une double infinite de valeurs propres (une positive et une negative). Pour estimer le comportement asymptotique, quand tend vers l'infini, des fonctions de comptage n#(,+q,g,) (nombre de valeurs propres positives inferieures a et nombre de valeurs propres negatives superieures a ), on utilise la methode de r. Courant; cette methode, qui est basee sur le principe du maxmin, consiste a decouper l'espace en petits cubes et a etudier sur chaque cube un probleme induit par le probleme. Selon le comportement du potentiel a l'infini, on etablit la formule classique de weyl ou celle de de wet-mandel. On etend ensuite ces resultats a des operateurs elliptiques d'ordre 2m dans le second chapitre. Dans la derniere partie, l'operateur a est du type schrodinger, precisement a=+q, ou le potentiel q, non necessairement positif, est suppose borne inferieurement. On utilise des resultats de fleckinger-mingarelli sur la theorie spectrale de tels problemes, souvent appeles completement indefinis. On considere un probleme a deux parametres pour montrer l'existence d'une infinite denombrable de valeurs propres positives. Pour obtenir des renseignements sur n#+(,+q,g,), on compare a des problemes indefinis a droite, et definis a gauche, et on utilise les resultats de fleckinger-lapidus pour les problemes indefinis a droite
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Jallade, Sophie. "Étude théorique et numérique de l'instabilité de Görtler." Toulouse, INPT, 1990. http://www.theses.fr/1990INPT007H.

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L'instabilite de gortler est etudiee a l'aide de la theorie de l'instabilite lineaire (partie i), d'une methode asymptotique (partie ii) et d'une simulation numerique (partie iii). L'effet de compressibilite et de temperature de paroi sur la stabilite des tourbillons de gortler est l'objet principal de la premiere partie. Cette etude permet d'interpreter les variations en envergure des flux de chaleur parietaux mesures dans diverses experiences. Elle montre aussi que le nombre de mach et le refroidissement de paroi ont peu d'effet sur les diagrammes de stabilite. La seconde partie presente un resume de la bibliographie de hall et compare l'amplification des tourbillons de gortler sur des parois dont la courbure varie sinusoidalement dans la direction de l'ecoulement principal. On demontre que la region de plus forte concavite doit se trouver le plus en aval possible pour minimiser l'amplification des tourbillons. Une simulation numerique tridimensionnelle d'une couche limite incompressible sur paroi concave permet d'approcher le comportement non lineaire des tourbillons de gortler
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El, Hafi Mouna. "Analyse asymptotique et raccordement : étude d'une couche limite de convection naturelle." Toulouse 3, 1994. http://www.theses.fr/1994TOU30133.

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Ce travail a pour objet la recherche de parametres pertinents agissant sur la modification des regimes d'ecoulement de convection naturelle pour des nombres de rayleigh eleves de l'ordre de 10#1#0. Le probleme traite porte sur les conditions de decollement de la couche limite de convection naturelle le long d'une plaque plane verticale chaude en presence d'un accident mecanique. Une premiere etape de la modelisation a ete realisee en utilisant la methode des developpements asymptotiques raccordes (d. A. R). Elle a permis de definir des equations aux derivees partielles simplifiees associees aux diverses regions de l'ecoulement, ainsi que les regles de raccord entre les solutions des equations. L'analyse asymptotique systematique a permis de mettre en evidence dans le cadre d'une structure double couche (sous-couche visqueuse et couche principale) deux classes d'accidents significatifs provoquant le decollement. Cette analyse montre au premier ordre un decouplage des processus dynamiques et thermiques tres pres de la paroi. L'etude a ete faite essentiellement dans le cas ou les deux couches sont fortement couplees, c'est a dire dans le cas qui induit le raccordement le plus complexe. Une deuxieme etape, tres complementaire a la premiere, a permis de batir un modele dans le cadre du formalisme d'evolution par transfert (t. E. F). A chaque domaine partiel, correspond un modele partiel constitue d'equations issues des d. A. R et de conditions aux limites compatibles avec les regles de raccord fournies par les d. A. R. Le raccordement est realise a partir de la decomposition des variables d'interface sur une base fonctionnelle adaptee. Les resultats des simulations dans le logiciel zoom permettent de detecter les hauteurs critiques des accidents a partir desquels a lieu le decollement. D'un point de vue thermique, la resolution de l'equation de l'energie nous fournit le profil de temperature dans la sous-couche visqueuse. Par ailleurs, une premiere campagne experimentale a ete realisee pour une bosse placee a une altitude de 130mm (hauteur 3. 7mm et longueur 13mm)
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Taous, Khalid. "Comportement asymptotique de milieux hétérogènes en thermique et en mécanique des fluides." Metz, 1990. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/1990/Taous.Khalid.SMZ905.pdf.

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Notre travail est une contribution à l'étude du comportement des milieux hétérogènes ayant une structure géométrique périodique. Les outils essentiels utilisés sont la méthode d'homogénéisation et la méthode des perturbations singulières. Le travail s'est fait en trois parties. La première partie est consacrée à l'étude du transfert simultané de chaleur et de masse dans un milieu poreux humide. On clarifie l'influence des phénomènes d'évaporation-condensation sur la conductivité thermique apparente, et on étudie la dépendance du comportement global du matériau par rapport à l'ordre de grandeur relatif de deux petits paramètres : la conductivité de la phase gazeuse et la taille de caractéristique des pores. Dans la deuxième partie, on s'intéresse à l'écoulement macroscopique de deux fluides non-miscibles à travers un milieu poreux. Les "lois de Darcy généralisée" classiques sont réexaminées d'un point de vue théorique en utilisant la méthode d'homogénéisation. Il est apparu qu'elles devraient être couplées, de façon à prendre explicitement en compte les interactions aux interfaces fluide-fluide. Dans la troisième partie, on étudie l’écoulement asymptotique de deux fluides immiscibles à travers des interstices de faibles épaisseurs entre deux solides. Par une méthode de perturbation, on établit des équations limites qui généralisent la loi de Reynolds classique au cas diphasique, en lui superposant des termes de couplage traduisant les effets d'un fluide sur l'autre
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Taous, Khalid. "Comportement asymptotique de milieux hétérogènes en thermique et en mécanique des fluides." Metz : Université Metz, 2008. ftp://ftp.scd.univ-metz.fr/pub/Theses/1990/Taous.Khalid.SMZ905.pdf.

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Books on the topic "Asymptotes"

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Asymptotic methods in statistical decision theory. Springer-Verlag, 1986.

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Asymptotic theory of statistical inference. Wiley, 1987.

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P, Kanwal Ram, and Estrada Ricardo 1956-, eds. A distributional approach to asymptotics: Theory and applications. 2nd ed. Birkhäuser, 2002.

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Dimassi, Mouez. Spectral asymptotics in the semi-classical limit. Cambridge University Press, 1999.

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C, Sorensen D., and Institute for Computer Applications in Science and Engineering., eds. An asymptotic induced numerical method for the convection-diffusion-reaction equation. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1988.

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Yee, H. C. Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. National Aeronautics and Space Administration, 1990.

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Yee, H. C. Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. National Aeronautics and Space Administration, 1990.

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Roe, John. Elliptic operators, topology, and asymptotic methods. Longman Scientific & Technical, 1988.

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Elliptic operators, topology and asymptotic methods. 2nd ed. Longman, 1998.

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1959-, Couture Lise Anne, ed. Asymptote: Flux. Phaidon Press, 2002.

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Book chapters on the topic "Asymptotes"

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Euler, Leonard. "Concerning Asymptotes." In Introduction to Analysis of the Infinite. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-1001-6_8.

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Rovenski, Vladimir. "Asymptotes of Curves." In Geometry of Curves and Surfaces with MAPLE. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-2128-9_8.

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Svanberg, K. "The Method of Moving Asymptotes (MMA) with Some Extensions." In Optimization of Large Structural Systems. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-010-9577-8_26.

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Hills, David A., and Hendrik N. Andresen. "Representation of Half-Plane Contact Edge Behaviour by Asymptotes." In Solid Mechanics and Its Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70746-0_6.

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Looseová, Iveta. "Conjecture on Fučík Curve Asymptotes for a Particular Discrete Operator." In Differential and Difference Equations with Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75647-9_20.

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Bejan, A. "Fundamentals of Scale Analysis, Heatline Visualization, and the Intersection of Asymptotes." In Emerging Technologies and Techniques in Porous Media. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-94-007-0971-3_2.

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Dungey, Nick, A. F. M. ter Elst, and Derek W. Robinson. "Asymptotics." In Analysis on Lie Groups with Polynomial Growth. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-2062-6_6.

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Murray, Michael K., and John W. Rice. "Asymptotics." In Differential Geometry and Statistics. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-3306-5_7.

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Grigelionis, Bronius. "Asymptotics." In Student’s t-Distribution and Related Stochastic Processes. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31146-8_2.

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Brown, B. Malcolm, Michael S. P. Eastham, and Karl Michael Schmidt. "Asymptotics." In Periodic Differential Operators. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0528-5_3.

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Conference papers on the topic "Asymptotes"

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Awad, M. M. "Heat Transfer From a Wedge to Fluids at Any Prandtl Number Using the Asymptotic Model." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22955.

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Heat transfer from a wedge to fluids at any Prandtl number can be predicted using the asymptotic model. In the asymptotic model, the dependent parameter Nux/Rex1/2 has two asymptotes. The first asymptote is Nux/Rex1/2Pr→0 that corresponds to very small value of the independent parameter Pr. The second asymptote is Nux/Rex1/2Pr→∞ that corresponds to very large value of the independent parameter Pr. The proposed model uses a concave downward asymptotic correlation method to develop a robust compact model. The solution has two general cases. The first case is β ≠ −0.198838. The second case is the special case of separated wedge flow (β = −0.198838) where the surface shear stress is zero, but the heat transfer rate is not zero. The reason for this division is Nux/Rex1/2 ∼ Pr1/3 for Pr ≫ 1 in the first case while Nux/Rex1/2 ∼ Pr1/4 for Pr ≫ 1 in the second case. In the first case, there are only two common examples of the wedge flow in practice. The first common example is the flow over a flat plate at zero incidence with constant external velocity, known as Blasius flow and corresponds to β = 0. The second common example is the two-dimensional stagnation flow, known as Hiemenez flow and corresponds to β = 1 (wedge half-angle 90°). Using the methods discussed by Churchill and Usagi (1972, “General Expression for the Correlation of Rates of Transfer and Other Phenomena,” AIChE J., 18(6), pp. 1121–1128), the fitting parameter in the proposed model for both isothermal wedges and uniform-flux wedges can be determined.
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Fakoor-Pakdaman, M., and Majid Bahrami. "Transient Internal Forced Convection Under Step Wall Heat Flux Condition." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17146.

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A new closed-form analytical model is developed to predict transient laminar forced convection inside a circular tube following a time-wise step change in the wall heat flux. The proposed all-time model is based on a blending of two asymptotes; i) short-time asymptote: transient pure conduction in an infinite cylinder and ii) long-time asymptote: steady-state convective heat transfer inside a circular duct. Different fluid velocity profiles are taken into consideration and the model covers: i) Slug Flow (SF); ii) Hydrodynamically Fully Developed Flow (HFDF); and iii) Simultaneously Developing Flow (SDF) conditions. The present model is developed for the entire range of the Fourier and Prandtl numbers. As such, short- and long-time asymptotes for the fluid bulk temperature are obtained. The Nusselt number is defined based on the local temperature difference between the tube wall temperature and the fluid bulk temperature. It is shown that irrespective of the velocity profile, at the initial times the Nusselt number is only a function of time. However, at the steady state condition it depends solely upon the axial location. In addition, during the transient period, the Nusselt number is much higher than that of the long-time response. We also performed an independent numerical simulation using COMSOL Multiphysics to validate the present analytical model. The comparison between the numerical and the present analytical model shows good agreement; a maximum relative difference less than 9.1%.
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Oraevsky, A. N., T. V. Sarkisyan, D. J. Jones, and D. K. Bandy. "Dynamics of a monovelocity atomic beam maser." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.fn4.

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We explore the dynamic behavior of a monovelocity atomic beam. The equations describing the monovelocity atomic beam are similar to the Maxwell-Bloch equations. The steady-state, linear stability analysis, and dynamics verify that hysteresis, bistability, and even multistability of the output intensity exist in this system. Comparison of the loss–gain bifurcation curve of this system to the original maser model shows that the instability asymptote for the monovelocity atomic beam is κ = 0 where κ represents the loss parameter while the maser model asymptotes at κ > 1.
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Suzuki, Takao, and Sanjiva Lele. "Green's functions in a boundary layer - Low and high frequency asymptotes." In 6th Aeroacoustics Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-2071.

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Li, Daozhong, Stephen Roper, and Il Yong Kim. "Advanced Primal-Dual Interior-Point Method for the Method of Moving Asymptotes." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85379.

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The Method of Moving Asymptotes (MMA) is one of the well-known optimization algorithms for topology optimization due to its stable numerical performance. Here, this paper simplifies the MMA algorithm by considering the features of topology optimization problem statements and presents a strategy to solve the necessary subproblems based on the primal-dual-interior-point method to further enhance numerical performance. A new scaling mechanism is also introduced to improve searching quality by utilizing the sensitivities of the original problems at the beginning of each MMA iteration. Numerical examples of solving both mathematical problems and topology optimization problems demonstrate the success of this method.
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Qin, Dongchen, and Qiang Zhu. "Structural Topology Optimization of Box Girder Based on Method of Moving Asymptotes (MMA)." In 2010 International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2010. http://dx.doi.org/10.1109/icicta.2010.867.

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Yeon, Cheol-O., Jong-Woo Kim, Moo-Hyun Park, Yu-Jin Jang, Cheon-Yong Lim, and Gun-Woo Moon. "Bode plot and impedance asymptotes for light-load regulation of LLC series resonant converter." In 2016 IEEE 8th International Power Electronics and Motion Control Conference (IPEMC 2016 - ECCE Asia). IEEE, 2016. http://dx.doi.org/10.1109/ipemc.2016.7512806.

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Hui, Huang, Wang Hui-Qin, and Feng Yan. "A Large Angle Deflection Beam Splitter Designed Based on the Method of Moving Asymptotes." In 2021 IEEE 6th Optoelectronics Global Conference (OGC). IEEE, 2021. http://dx.doi.org/10.1109/ogc52961.2021.9654407.

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Pedersen, Claus B. W., Thomas Buhl, and Ole Sigmund. "Topology Synthesis of Large-Displacement Compliant Mechanisms." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8554.

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Abstract This paper describes the use of topology optimization as a synthesis tool for the design of large-displacement compliant mechanisms. An objective function for the synthesis of large-displacement mechanisms is proposed together with a formulation for synthesis of path-generating compliant mechanisms. The responses of the compliant mechanisms are modelled using a Total Lagrangian finite element formulation, the sensitivity analysis is performed using the adjoint method and the optimization problem is solved using the Method of Moving Asymptotes. Procedures to circumvent some numerical problems are discussed.
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Drum, Bruce. "Brightness estimation supports a two-channel model of achromatic brightness processing." In OSA Annual Meeting. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.wt3.

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Brightness magnitude estimation functions for 3400° white circular increments on a 2700° white 38 cd/m2 background were measured on a modified Tubingen perimeter. The stimuli ranged from 1.7′ to 66′ in diameter, 0.07-1 s in duration, and 0° to 20° in eccentricity. Brightness estimates were obtained at 0.2 log unit luminance intervals from the increment threshold to 1600 cd/m2. A constant-luminance fixation target also served as a reference for the brightness estimates. Although the overall averages can be acceptably fit with power functions, most single-session functions are double-branched, in agreement with Hood and Finkelstein.1 A low-contrast branch first rises steeply with a slope ⪰1, but then asymptotes within 1–2 log units of threshold. A relatively straight high-contrast branch rises out of the low-branch asymptote, with a slope between 0.3 and 0.5. Changes of target size, duration, or eccentricity have little effect on the slope of the high-contrast branch. However, parameter changes that increase threshold can markedly shorten the range and increase the initial slope of the low-contrast branch. The properties of the low-contrast and high-contrast brightness branches are similar to those of the magnocellular and parvocellular retinogeniculate pathways and are consistent with existing brightness matching evidence for a two-channel model of achromatic brightness.2
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Reports on the topic "Asymptotes"

1

Robinson, Ernest Y. The Two Isotropic Asymptotes of Fiber Composites,. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada192305.

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Mudge, Christopher R., Kurt D. Getsinger, and Benjamin P. Sperry. Simulated Herbicide Spray Retention on Floating Aquatic Plants as Affected by Carrier Volume and Adjuvant Type. U.S. Army Engineer Research and Development Center, 2022. http://dx.doi.org/10.21079/11681/44540.

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Foliar delivery of herbicides is a common means for plant management in aquatic environments. Though this technique is decades old, little is known about vegetative spray retention relative to this application method. A more complete understanding of maximizing herbicide retention could lead to improved plant management while simultaneously decreasing pesticide load in aquatic environments. Therefore, outdoor mesocosm experiments were conducted in 2020 to evaluate the effect of adjuvant type on foliar spray retention in waterhyacinth [Eichhornia crassipes (Mart.) Solms]. Additionally, the effect of carrier volume on spray retention in waterhyacinth, waterlettuce (Pistia stratiotes L.), and giant salvinia (Salvinia molesta D.S. Mitchell) was documented. Spray deposition did not differ among the nine adjuvants tested; however, spray retention was reduced 6% to 11% when an adjuvant was excluded from the spray solution. The effect of carrier volume on spray retention in waterhyacinth, waterlettuce, and giant salvinia was also investigated. Decreases in spray retention were most sensitive to increased carrier volume in waterhyacinth, followed by giant salvinia and waterlettuce. Among species, spray retention potential, as determined by intercept estimates, was greatest in waterlettuce and giant salvinia regardless of carrier volume. Asymptotes estimates for waterhyacinth, waterlettuce, and giant salvinia were 33%, 46%, and 79% spray retention, respectively. In other words, spray retention was the lowest and remained relatively constant at these values for the high carrier volumes tested (935 and 1,870 L ha⁻¹), which were likely due to the presence of pubescence on leaves and flatter leaf architecture represented by waterlettuce and giant salvinia compared to the glabrous vertical leaves of waterhyacinth. Future research will evaluate these concepts under field condition.
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Mikolaitis, David W. Applications of Large Heat Release Asymptotics. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada204582.

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Lippert, Ross, and Ryan Rifkin. Asymptotics of Gaussian Regularized Least-Squares. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada454981.

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Barbone, Paul E. Hybrid Asymptotic-Numerical Methods in Scattering. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada363046.

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Golding, William M. Asymptotic Techniques For Atomic Waveguide Calculations. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada531396.

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Collins, Joseph C., and III. Functional Estimation: The Asymptotic Regression Approach. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada342180.

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Graham, Bryan. Sparse Network Asymptotics for Logistic Regression. National Bureau of Economic Research, 2020. http://dx.doi.org/10.3386/w27962.

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Finkelstein, Maxim S., and Veronica Esaulova. Asymptotic behavior of mixture failure rates. Max Planck Institute for Demographic Research, 2005. http://dx.doi.org/10.4054/mpidr-wp-2005-023.

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Osipov, Andrei. Non-asymptotic Analysis of Bandlimited Functions. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada555158.

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