Relevant bibliographies by topics / Limit Function

Contents

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

Academic literature on the topic 'Limit Function'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Limit Function"

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Pereira, Olavo de Carvalho. "Limit calculation of a function without the use of ε and δ". Núcleo do Conhecimento 04, № 08 (2021): 05–31. https://doi.org/10.32749/nucleodoconhecimento.com.br/mathematical-olympiads/limit-calculation.

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The consulted bibliography does not present, in any of the analyzed cases, a calculation of the limit of a function, but only "shows" that the values presented as the "limit" satisfy the definition of limit of a function expressed through inequalities involving and , there is, therefore, a gap in this theme, which the present article comes to fill by fundamentally using the concept of defined function, as well as by identifying the expression " tends to a certain number" with a corresponding equality.
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Alifuddin, Moch, Mahmud Yunus, Mohamad Ilham Dwi Firmansyah, and Indra Cahya Ramdani. "Stieltjes Limits in Continuous Function Spaces." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5909. https://doi.org/10.29020/nybg.ejpam.v18i2.5909.

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The concept of limits in calculus was first discovered by Sir Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century. Both developed calculus with different but complementary approaches and notations. The Stieltjes limit is a generalization of the conventional limit, where the limiter is a function. This study defines the limit and Stieltjes limit on function-valued operators, which are bounded operators whose limiters are continuous functions. To support this definition, we first introduce the concepts of neighborhoods, continuous function operators, increasing operators, strictl
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Tonra, Wilda Syam, Didi Suryadi, Kusnandi Kusnandi, and Endang Cahya Mulyaning. A. "Limit of Function Understanding by Student of National Mathematics Olimpiad ON MIPA in University." Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam 13, no. 2 (2024): 178. https://doi.org/10.35580/sainsmat132654872024.

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Limits of function is one of sub-topic of Calculus that is complex and difficult to understand. Several studies, both examining misconception and understanding related to function limits, aim to improve teaching and learning. This research is single Subject Research with a single subject, namely by Student of National Mathematics Olimpiad ON MIPA in University. Data was collected through a test instrument consisting of 7 questions on understanding function limits and interviews were conducted to confirm the subject's answers. Data analysis is qualitative. The research results show that 1) Subj
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Daniswara, Krisna Adilia, Aris Alfan, and Ahmad Khairul Umam. "The Fifth Coefficient Approximation of The Inverse Strongly Convex Function." Jurnal Matematika Sains dan Teknologi 24, no. 2 (2023): 62–72. http://dx.doi.org/10.33830/jmst.v24i2.4977.2023.

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This paper discusses the fifth coefficient approximation of the inverse strongly convex function. Strongly convex function is a subclass of convex function. Those functions are included as univalent functions. Using corresponding lemmas, we give sharp limits for the fifth coefficient of the inverse strongly convex function. The limit is sharp if the value of the approximation has the same value as the limit. We verify that the limit of the fifth coefficient of the inverse strongly convex function differs from that of the strongly convex function in some interval but still have the same value i
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Hajerina, Hajerina, Sutji Rochaminah, and Indah Suciati. "Analyzing Mathematics Education Students' Misconceptions on Limit Functions : A Case Study at Alkhairaat University." Jurnal Pendidikan MIPA 26, no. 1 (2025): 51–61. https://doi.org/10.23960/jpmipa.v26i1.pp51-61.

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Abstract: The purpose of this study was to determine the misconceptions made by Unisa Mathematics Education students about the concept of limit. The research method used was a descriptive qualitative approach or survey design, where data were collected through comprehension tests, interviews, and observations of 16 students. The results showed that students consider limit as something that is not reached, limit is an estimate, limit is a boundary, and a function will always have a limit at a certain point. Other misconceptions are that students consider limit as a substitution process, even th
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Sangwin, Christopher J. "Limit-free derivatives." Mathematical Gazette 95, no. 534 (2011): 469–82. http://dx.doi.org/10.1017/s0025557200003569.

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Algebraic double roots are used by [1] to motivate the following limit-free definition of derivative:‘A function f(x) has a derivative m at x = a iffor some value c.’As we shall see later, ‘function’ in this definition will actually be restricted to real polynomials and [1] concludes‘We have shown how an elementary algebraic principle — double roots — can lead to a complete calculus of polynomials and related functions, without the need for a limit concept.
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Sulastri, Rini. "Studi didactic transposition: Eksplorasi knowledge to be taught pada limit fungsi." Journal of Didactic Mathematics 4, no. 2 (2023): 106–17. http://dx.doi.org/10.34007/jdm.v4i2.1903.

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The purpose of this research is to describe the analysis of knowledge to be taught on limit of function. This research is part of the didactic transposition research on the concept of limit of function which consists of four stages. Qualitative research with descriptive method is used in this study. The target is a differential calculus course taught in the first semester at a university in Aceh. Data collection techniques consist of documentation studies and unstructured interviews. Analysis of calculus text book documents, especially on limit functions, was carried out using a praxeology app
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Xu, Xinyao. "Evaluation of limits including integrals by L Hpitals rule." Theoretical and Natural Science 10, no. 1 (2023): 96–100. http://dx.doi.org/10.54254/2753-8818/10/20230323.

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Limit is significant concept in mathematic analysis. Technically, limits definition in mathematics is that a variable in a function gradually approximates to a certain value in the changing process which cannot be ended. L Hpitals rule and Taylor expansion, together with other methods such as Stolz theorem, are usually used in measuring a limits value. In this paper, it will focus on some representative limits that are related to definite integrals. L Hpitals rule and Taylor's expansion are also jointed used so as to solve the problems. The main part of this work talks about the limit of the i
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Agustin Dewanti Putri, Walter Punding, and M. Hamdani. "Identification of Students' Mistakes in Solving the Limit Function Problems for Class XI SMA Negeri 1 Palangka Raya." GAMAPROIONUKLEUS 2, no. 2 (2021): 78–84. http://dx.doi.org/10.37304/jpmipa.v2i2.5043.

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This research is motivated by the fact that many students of class XI make mistakes in solving the Limit Function problem. The aims of this research are 1) to describe the mistakes made by the students of class XI MIPA 2 SMA Negeri 1 Palangka Raya in solving Function Limit questions; 2) describe the cause of students in class XI MIPA 2 SMA Negeri 1 Palangka Raya making mistakes in solving Function Limit questions.
 The type of research used in this research is descriptive with a qualitative approach. This research was conducted in the even semester of the 2020/2021 academic year. The subj
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Rogeon, Philippe, and Hassan Emamirad. "Semiclassical limit of Husimi function." Discrete and Continuous Dynamical Systems - Series S 6, no. 3 (2012): 669–76. http://dx.doi.org/10.3934/dcdss.2013.6.669.

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Dissertations / Theses on the topic "Limit Function"

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Lamendola, Joel E. "Limit Cycle PIO Analysis With Simultaneously Acting Multiple Asymmetric Saturation." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36767.

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Pilot in-the-loop oscillation (PIO) is a phenomenon which occurs due to the dynamic interaction between pilot and aircraft. This detrimental aircraft handling quality appears through a variety of flight conditions and is very difficult to predict. Due to this complex behavior, PIO is not easily eliminated. This report describes a method of PIO analysis that is capable of examining multiple asymmetric nonlinearities acting simultaneously. PIO analyses are performed on a model based on the USAF NT-33A variable stability aircraft with nonlinearities including stick position limiting, elevato
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Lewis, David P., Fanrong Xiao, Sabina Hrabetova, and Jan Hrabe. "Brain microscopy point spread function in a photon diffusion limit." Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-182697.

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Lewis, David P., Fanrong Xiao, Sabina Hrabetova, and Jan Hrabe. "Brain microscopy point spread function in a photon diffusion limit." Diffusion fundamentals 20 (2013) 35, S. 1-2, 2013. https://ul.qucosa.de/id/qucosa%3A13603.

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Doughty, Tyler W. "Levels of YCG1 Limit Condensin Function during the Cell Cycle: A Dissertation." eScholarship@UMMS, 2016. https://escholarship.umassmed.edu/gsbs_diss/861.

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For nearly five decades, the simple eukaryote Saccharomyces cerevisiae has been used as a model for understanding the eukaryotic cell cycle. One vein of this research has focused on understanding how chromosome structure is regulated in relation to the cell cycle. This work characterizes a new mechanism that modulates the chromatin organizing condensin complex, in hopes of furthering the understanding of chromosome structure regulation in eukaryotes. During mitosis, chromosomes are condensed to facilitate their segregation through a process mediated by the condensin complex. Upon interphase on
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Doughty, Tyler W. "Levels of YCG1 Limit Condensin Function during the Cell Cycle: A Dissertation." eScholarship@UMMS, 2008. http://escholarship.umassmed.edu/gsbs_diss/861.

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For nearly five decades, the simple eukaryote Saccharomyces cerevisiae has been used as a model for understanding the eukaryotic cell cycle. One vein of this research has focused on understanding how chromosome structure is regulated in relation to the cell cycle. This work characterizes a new mechanism that modulates the chromatin organizing condensin complex, in hopes of furthering the understanding of chromosome structure regulation in eukaryotes. During mitosis, chromosomes are condensed to facilitate their segregation through a process mediated by the condensin complex. Upon interphase on
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Karaliūnaitė, Julija. "Value distribution theorems for the periodic zeta-function." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100915_162405-31358.

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In the thesis, the Atkinson formula for the periodic zeta-function on the critical line and the critical strip, and limit theorems in the sense of weak convergence of probability measures in various spaces are considered. The aim of the thesis is to solve the following problems: 1. To obtain the Atkinson formula on the critical line for the periodic zeta-function. 2. To obtain the Atkinson formula in the critical strip for the periodic zeta-function. 3. To prove limit theorems on the complex plane in the sense of weak convergence for the periodic zeta-function. 4. To prove limit theorems
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Genienė, Danutė Regina. "Limit theorems for Lerch zeta-functions with algebraic irrational parameter." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20100204_102902-68601.

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Limit theorems in the sense of weak convergence of probability measures for the Lerch zeta-function with algebraic irrational parameter are obtained. A theorem of mentioned type on the complex plane, a joint limit theorem for a collection of Lerch zeta-functions on the complex plane as well as a limit theorem in the space of analytic functions are proved. The theorems obtained characterize the asymptotic behaviour of the Lerch zeta-function and can be applied in the investigation of the universality of that function.<br>Yra gautos Lercho dzeta funkcijos su algebriniu iracionaliuoju parametru r
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Reid, James Edward. "Numerical Values of the Hausdorff and Packing Measures for Limit Sets of Iterated Function Systems." Thesis, University of North Texas, 2017. https://digital.library.unt.edu/ark:/67531/metadc1011825/.

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In the context of fractal geometry, the natural extension of volume in Euclidean space is given by Hausdorff and packing measures. These measures arise naturally in the context of iterated function systems (IFS). For example, if the IFS is finite and conformal, then the Hausdorff and packing dimensions of the limit sets agree and the corresponding Hausdorff and packing measures are positive and finite. Moreover, the map which takes the IFS to its dimension is continuous. Developing on previous work, we show that the map which takes a finite conformal IFS to the numerical value of its packing m
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Chiu, Anthony. "Iterated function systems that contract on average." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/iterated-function-systems-that-contract-on-average(38f391bf-142f-4fcd-9144-fbe5ca8ec7ba).html.

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Consider an iterated function system (IFS) that does not necessarily contract uniformly, but instead contracts on average after a finite number of iterations. Under some technical assumptions, previous work by Barnsley, Demko, Elton and Geronimo has shown that such an IFS has a unique invariant probability measure, whilst many (such as Peigné, Hennion and Hervé, Guivarc'h and le Page, Santos and Walkden) have shown that (for different function spaces) the transfer operator associated with the IFS is quasi-compact. A result due to Keller and Liverani allows one to deduce whether the transfer op
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Moraes, Hugo Leonardo de. "Utilização do software Geogebra no estudo de pontos de máximo e pontos de mínimo de funções de uma variável." Universidade Federal de Goiás, 2013. http://repositorio.bc.ufg.br/tede/handle/tede/3243.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2014-10-01T14:00:10Z No. of bitstreams: 2 dissertação - Hugo Leonardo de Moraes - 2013.pdf: 7379480 bytes, checksum: fe95767e57f88b72c915d7bc926f4693 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2014-10-01T15:18:49Z (GMT) No. of bitstreams: 2 dissertação - Hugo Leonardo de Moraes - 2013.pdf: 7379480 bytes, checksum: fe95767e57f88b72c915d7bc926f4693 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)
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Books on the topic "Limit Function"

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Laurinčikas, Antanas. Limit theorems for the Riemann zeta-function. Kluwer Academic, 1996.

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Laurinčikas, Antanas. Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5.

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United States. Department of Transportation. Office of Inspector General. Weaknesses in the Office of the Secretary's acquisition function limit its capacity to support DOT's mission: Office of the Secretary. U.S. Dept. of Transportation, Office of the Secretary of Transportation, Office of Inspector General, 2011.

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Jackie, Whitley, ed. Foreign exchange: Functions, limits, and risks. Stockton Press, 1992.

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S, Summers Robert, ed. Law: Its nature, functions and limits. 3rd ed. West Pub., 1986.

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Li, Lan. Studying functions and limits through programming. typescript, 1992.

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Han, Maoan, and Pei Yu. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2918-9.

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Han, Maoan. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles. Springer London, 2012.

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M, Clermont Kevin, ed. Law for society: Nature, functions, and limits. Aspen Publishers, 2010.

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Clermont, Kevin M. Law for society: Nature, functions, and limits. Aspen Publishers, 2010.

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Book chapters on the topic "Limit Function"

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Miranda, João Luís de. "Limit of a Function." In Applied Mathematics. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003461876-3.

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Laurinčikas, Antanas. "Limit Theorems for the Riemann Zeta-Function in the Space of Analytic Functions." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_5.

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Laurinčikas, Antanas. "Limit Theorem for the Riemann Zeta-Function in the Space of Continuous Functions." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_7.

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Laurinčikas, Antanas. "Limit Theorems for Dirichlet L-Functions." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_8.

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Reitano, Robert R. "The Characteristic Function." In Foundations of Quantitative Finance, Book VI: Densities, Transformed Distributions, and Limit Theorems. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003275770-5.

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Laurinčikas, Antanas. "Universality Theorem for the Riemann Zeta-Function." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_6.

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Laurinčikas, Antanas. "Elements of the Probability Theory." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_1.

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Laurinčikas, Antanas. "Dirichlet Series and Dirichlet Polynomials." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_2.

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Laurinčikas, Antanas. "Limit Theorems for the Modulus of the Riemann Zeta-Function." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_3.

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Laurinčikas, Antanas. "Limit Theorems for the Riemann Zeta-Function on the Complex Plane." In Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5_4.

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Conference papers on the topic "Limit Function"

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Romero-Pérez, Julio-Ariel, Roberto Sanchis-Llopis, Oscar Miguel-Escrig, and José-María Martín-Algarra. "Characterization of Limit Cycles in Symmetric-Send-on-Delta Based Control Systems. A Describing Function Approach." In 2024 IEEE 3rd Industrial Electronics Society Annual On-Line Conference (ONCON). IEEE, 2024. https://doi.org/10.1109/oncon62778.2024.10931688.

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Hartin, Michael, and Cristina Riso. "Predicting Limit-Cycle Oscillations in Propeller-Nacelle Systems with Freeplay." In Vertical Flight Society 81st Annual Forum and Technology Display. The Vertical Flight Society, 2025. https://doi.org/10.4050/f-0081-2025-328.

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This paper investigates an output-based approach for predicting limit-cycle oscillations caused by freeplay, which can affect actuated structures of vertical lift vehicles. The proposed approach uses pre-critical time-history data to estimate the recovery rate to equilibrium following perturbations as a function of amplitude and a varying parameter. Recovery rate data points in the parameter-amplitude plane are fitted and extrapolated to predict limit-cycle oscillation solutions, corresponding to a recovery rate of zero. While previous work demonstrated this approach for systems with geometric
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JUGEAU, F., A. LE YAOUANC, L. OLIVER, and J. C. RAYNAL. "THE ISGUR-WISE FUNCTION IN THE BPS LIMIT." In Proceedings of the 33rd International Conference. World Scientific Publishing Company, 2007. http://dx.doi.org/10.1142/9789812790873_0222.

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Oliveira, N., K. Kienitz, and E. Misawa. "A describing function approach to limit cycle controller design." In 2006 American Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/acc.2006.1656432.

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Freinkman, Boris G., Edward I. Rau, and S. I. Zaytsev. "Spread function and limit resolution of deflecting electrostatic energy analyzers." In SPIE Proceedings, edited by Anatoly M. Filachev. SPIE, 2004. http://dx.doi.org/10.1117/12.552041.

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Chebaro, Mohamed R., and Wenxing Zhou. "A Limit State Function for Pipelines Containing Long Corrosion Defects." In 2010 8th International Pipeline Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ipc2010-31324.

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Currently, there exist various models that predict the burst capacity of a pipeline containing corrosion defects. Recent studies have indicated that these models tend to be overly conservative for long corrosion defects. This paper, based on a PRCI-sponsored study, aims at minimizing this conservatism through a series of steps. First, different definitions for long corrosion defects prevalent in the literature were examined and compared, and the most suitable criterion was implemented. Next, three existing burst pressure models for general corrosion defects were identified and evaluated: ASME
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Blattner, Peter, Peter Kipfer, Hans Peter Herzig, and Rene Daendliker. "Scanning near-field optical microscopy: transfer function and resolution limit." In SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, edited by Suganda Jutamulia and Toshimitsu Asakura. SPIE, 1998. http://dx.doi.org/10.1117/12.326824.

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Cheng, Qian, Junfeng Zhang, and Cong Fu. "Optimization Study for Excitation System Simulation Model with Limit Function." In 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016). Atlantis Press, 2016. http://dx.doi.org/10.2991/icence-16.2016.115.

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Tyszka, Apoloniusz. "MuPAD codes which implement limit-computable functions that cannot be bounded by any computable function." In 2014 Federated Conference on Computer Science and Information Systems. IEEE, 2014. http://dx.doi.org/10.15439/2014f91.

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Michaliszyn, Jakub, and Jan Otop. "Minimization of Limit-Average Automata." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/388.

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LimAvg-automata are weighted automata over infinite words that aggregate weights along runs with the limit-average value function. In this paper, we study the minimization problem for (deterministic) LimAvg-automata. Our main contribution is an equivalence relation on words characterizing LimAvg-automata, i.e., the equivalence classes of this relation correspond to states of an equivalent LimAvg-automaton. In contrast to relations characterizing DFA, our relation depends not only on the function defined by the target automaton, but also on its structure. We show two applications of this relati
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Reports on the topic "Limit Function"

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Zhou. L52286 Limit State Function Development for the Application of RBD and Assessment to Onshore Pipelines. Pipeline Research Council International, Inc. (PRCI), 2008. http://dx.doi.org/10.55274/r0010253.

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For pipelines that utilize high design factors, excessive plastic deformation may occur in the hoop direction under internal pressure applied during field hydrostatic testing. Excessive plastic deformation can lead to coating damage and subsequent corrosion. Therefore, a limit state function for excessive plastic deformation was established to address this condition. The limit state function was established as the allowable plastic strain minus the accumulated plastic hoop strain induced by hydrostatic test pressure. The objective of this study was to expand the limit state function library to
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Zhou. L52284 Upheaval Buckling Limit State Function for Onshore Gas Pipelines. Pipeline Research Council International, Inc. (PRCI), 2008. http://dx.doi.org/10.55274/r0010669.

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For buried pipelines a well established problem has been that of upheaval buckling. This occurs because the fluid is usually pumped through the pipes at elevated temperatures causing the pipeline to experience thermal expansion which, if restrained, leads to an increase in the axial stress in the pipeline possibly resulting in a buckling failure. A secondary phenomenon that has also been identified, particularly in loose sands and silts, involves floatation of pipelines through the backfill material, usually shortly after burial. The upheaval buckling limit state function developed in this pro
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Cameron, Arthur, Shimshon Ben-Yehoshua, and Rebecca Hernandez. Design and Function of Modified Atmosphere Packaging Systems for Fresh Produce: a Unified Approach for Optimizing Oxygen, Carbon Dioxide and Relative Humidity. United States Department of Agriculture, 1996. http://dx.doi.org/10.32747/1996.7613019.bard.

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Oxygen uptake, CO2 production and respiratory quotient (RQ) of strawberry, raspberry and cherry were measured as functions of temperature and oxygen level. The effect of cultivar was studied in strawberry ('Honey' and 'Allstar'). The effect of harvest date was studied for raspberry. The lower O2 limit increased markedly with incraqsing temperature for all fruits studied. Red bell pepper O2 uptake was measured as a function of O2 at 20o C. Lowering the inpackage humidity using NaCl reduced decay of bell pepper sealed in low-density polyethylene packages when stored at 8o C. Analyses of a model
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Desjardins. L52204 Framework for the Optimization of Inspection Intervals. Pipeline Research Council International, Inc. (PRCI), 2004. http://dx.doi.org/10.55274/r0011352.

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The goal of this project is to develop a methodology to find the optimal inspection timing of pipelines carrying hazardous materials. The four principle parameters affecting the need for inspection are: - Anomaly severity - Deterioration rate Limit state - Consequences of failure In addition to these parameters, considered in this research, uncertainty needs to be understood and accounted for. Knowledge of each of the above parameters is limited by various factors. Morrison has chosen to approach this uncertainty with a probabilistic method that leads to a risk and reliability solution. As app
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Thacker. L51930 Optimized Sampling Frequencies for Weld Reliability Assessments of Long Pipeline Segments. Pipeline Research Council International, Inc. (PRCI), 2003. http://dx.doi.org/10.55274/r0011322.

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This project responds to a need to obtain statistically adequate quantities of input data for probabilistic assessments of girth welded pipelines. It is desirable to limit the data collection efforts to that warranted by overall reliability and confidence requirements. This is motivated by the challenge of limited and/or high-cost access to in-service pipelines for property measurement and flaw inspection. The goal of this project was to develop a methodology for specifying the minimum, cost-optimized sampling frequency for each of the model input parameters in a multiple girth weld fitness-fo
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Hausmann, Ricardo, Ugo Panizza, and Ernesto H. Stein. Why Do Countries Float the Way They Float? Inter-American Development Bank, 2000. http://dx.doi.org/10.18235/0010778.

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Countries that are classified as having floating exchange rate systems (or very wide bands) show strikingly different patterns of behavior. They hold very different levels of international reserves and allow very different volatilities in the movements of the exchange rate relative to the volatility that they tolerate either on the level of reserves or in interest rates. We document these differences and present a model that explains them as the optimal response of a Central Bank that attempts to minimize a standard loss function, in an environment in which firms are credit-constrained and inc
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Francis, Andrew, Chas Jandu, and Mike Taylor. PR-408-124500-R01 Mechanical Damage Instantaneous Failure Model Numerical Simulation of Physical Tests. Pipeline Research Council International, Inc. (PRCI), 2013. http://dx.doi.org/10.55274/r0010819.

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The overall objective was to develop two models for determining the effect of mechanical damage on the structural integrity of buried pipelines. The models that are to be developed are the instantaneous failure model (MD4-3) and the delayed failure model (MD4-4). The subject of this report is part of the work that has been undertaken in support of the development of the instantaneous failure model which is being undertaken within the remit of MD4-3. The overall objective of MD4-3 to produce a closed form expression that will be used as: (i) A Limit State Function in structural reliability and
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Islam, Wajid, and Junaid Ahmed. To Borrow or Not to Borrow: Empirical Evidence from the Public Debt Sustainability of Pakistan. Asian Development Bank Institute, 2023. http://dx.doi.org/10.56506/mowj8135.

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We aim to evaluate the public debt sustainability of Pakistan using the debt sustainability analysis (DSA) framework and fiscal reaction function (FRF). For the empirical analysis, we use relevant important macroeconomic variables, such as public debt, external debt, primary balance, output growth, current account balance, and oil prices, over the period 1976–2021. The results of the DSA suggest that, at the 10% growth rate with a real interest rate lower than 10%, the public debt level can be brought under the 60% standard sustainable limit from the current 80% by the year 2030. Furthermore,
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Bastos, Fabiano, and Emilio Pineda. Fiscal Space of Brazilian States. Inter-American Development Bank, 2013. http://dx.doi.org/10.18235/0006972.

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We estimate the fiscal space of Brazilian States defined as the difference between a State's actual debt and the theoretical debt limit implied by the historical behavior of its policymakers. We estimate fiscal reaction functions and debt limits using publicly available data between 2000 and 2011 for the 26 Brazilian States and the Federal District. The results suggest that, after a decade of fiscal consolidation, a number of States have fiscal space but there remains significant heterogeneity across States. Going forward, enhancing the role of market incentives and strengthening rules-based a
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Warke. L51822 A Limit States and Reliability-Based Girth Weld Assessment Framework for Long Pipeline Segments. Pipeline Research Council International, Inc. (PRCI), 2000. http://dx.doi.org/10.55274/r0011242.

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This report describes the development of a graphical framework enabling probabilistic assessment of surface-breaking planar defects in pipeline girth welds, in terms of multivariate limit state functions incorporating weld strength mismatch effects. This is part of an ongoing effort by the Welding Research Supervisory Committee to align girth weld fitness-for-service assessment methods with recent advancements in limit states- and reliability-based design for pipelines. A previous three-year program (PR-185-9429) by the same investigators produced a database of partial safety factors (PSFs), c
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