Relevant bibliographies by topics / Infinite

Contents

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

Academic literature on the topic 'Infinite'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Infinite"

1

Holub, Štěpán. "Words with unbounded periodicity complexity." International Journal of Algebra and Computation 24, no. 06 (2014): 827–36. http://dx.doi.org/10.1142/s0218196714500362.

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If an infinite non-periodic word is uniformly recurrent or is of bounded repetition, then the limit of its periodicity complexity is infinity. Moreover, there are uniformly recurrent words with the periodicity complexity arbitrarily high at infinitely many positions.
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Love, William P. "Infinity: The Twilight Zone of Mathematics." Mathematics Teacher 82, no. 4 (1989): 284–92. http://dx.doi.org/10.5951/mt.82.4.0284.

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The concept of infinity has fascinated the human race for thousands of years. Who among us has never been awed by the mysterious and often paradoxical nature of the infinite? The ancient Greeks were fascinated by infinity, and they struggled with its nature. They left for us many unanswered questions including Zeno's famous paradoxes. The concept of infinity is with us today, and many ideas in modern mathematics are dependent on the infinitely large or the infinitely small. But most people's ideas about infinity are very vague and unclear, existing in that fuzzy realm of the twilight zone
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Friedlander, Alex. "Stories about Never-Ending Sums." Mathematics Teaching in the Middle School 15, no. 5 (2009): 274–80. http://dx.doi.org/10.5951/mtms.15.5.0274.

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Infinity and infinitely small numbers pique the curiosity of middle school students. Examples such as the story of Achilles and the Tortoise promote questions about domain, representations, and infinite sums–all of which may not get answered until students reach high school.
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Ventola, Federica. "Durand of Saint Pourçain and the actual infinite. A reflection on divine omnipotence (Super Sent., I, 43, 2)." RIVISTA DI STORIA DELLA FILOSOFIA, no. 2 (July 2024): 371–86. http://dx.doi.org/10.3280/sf2024-002002.

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In his Commentary on the first Book of Sentences (d. 43, q. 2, red. B), Durand of Saint Pourçain (1270-­1334) poses the question regarding the divine possibility of producing infinite actual things, contributing to the debate about the divine power of creating what is considered to be contradictory (actual infinity). Taking into account the philosophical and theological sources of Durand's Commentary on the issue, the article focuses on his accurate solution to the problem of God's production of actual infinites by analysing some arguments such as that of the production of the individuals of a
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Gonçalves, Márcia. "O problema da passagem do infinito para o finito nas filosofias de Schelling e Hegel." Revista Eletrônica Estudos Hegelianos 17, no. 29 (2020): 11–42. http://dx.doi.org/10.70244/reh.v17i29.402.

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Schelling and Hegel think the relationship between the concepts of infinite and finite in a distinct way, even though they start from a common diagnosis concerning the status of philosophical systems. This difference will be responsible for the different construction of their own philosophical systems. To explore this thematic, this article will present the development of the concept of the infinite in the youth works of the two classical German philosophers, in six different parts: (1) a brief description of the young Schelling's diagnosis of the problem of the transition from the infinite to
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Thalassinakis, Emmanuel. "More Theory About Infinite Numbers and Important Applications." Mathematics 13, no. 9 (2025): 1390. https://doi.org/10.3390/math13091390.

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In the author’s previous studies, new infinite numbers, their properties, and calculations were introduced. These infinite numbers quantify infinity and offer new possibilities for solving complicated problems in mathematics and applied sciences in which infinity appears. The current study presents additional properties and topics regarding infinite numbers, as well as a comparison between infinite numbers. In this way, complex problems with inequalities involving series of numbers, in addition to limits of functions of x ∈ ℝ and improper integrals, can be addressed and solved easily. Furtherm
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Burgin, Mark. "Introduction to Hyperspaces." International Journal of Pure Mathematics 7 (February 8, 2021): 36–42. http://dx.doi.org/10.46300/91019.2020.7.5.

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The development of mathematics brought mathematicians to infinite structures. This process started with transcendent real numbers and infinite sequences going through infinite series to transfinite numbers to nonstandard numbers to hypernumbers. From mathematics, infinity came to physics where physicists have been trying to get rid of infinity inventing a variety of techniques for doing this. In contrast to this, mathematicians as well as some physicists suggested ways to work with infinity introducing new mathematical structures such distributions and extrafunctions. The goal of this paper is
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Katz, Mikhail, David Sherry, and Monica Ugaglia. "When Does a Hyperbola Meet Its Asymptote? Bounded Infinities, Fictions, and Contradictions in Leibniz." Revista Latinoamericana de Filosofía 49, no. 2 (2023): 241–58. http://dx.doi.org/10.36446/rlf2023359.

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In his 1676 text De Quadratura Arithmetica, Leibniz distinguished infinita terminata from infinita interminata. The text also deals with the notion, originating with Desargues, of the point of intersection at infinite distance for parallel lines. We examine contrasting interpretations of these notions in the context of Leibniz’s analysis of asymptotes for logarithmic curves and hyperbolas. We point out difficulties that arise due to conflating these notions of infinity. As noted by Rodríguez Hurtado et al., a significant difference exists between the Cartesian model of magnitudes and Leibniz’s
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Minecan, Ana Maria C. "The limits of the created universe: Thomist assimilation of Aristotelian doctrine on the problem of infinity." Disputatio. Philosophical Research Bulletin 4, no. 5 (2015): 119–43. https://doi.org/10.5281/zenodo.3551724.

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This article studies the influence of Aristotle’s physical treatises on the Thomist conception on the place of infinity in the created cosmos. It analizes the position held by Aquinas on four fundamental aspects of the Aristotelian theory about infinity: existence of an infinite substance, existence of an infinite body, existence of an infinite in act and the infinity of time. Is also exposed the use of the Aristotelian theory of motion and natural places by the Angelic Doctor for the refutation of every position that presents the act of creation as a temporally successive mutation and h
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Sabatier, Jocelyn. "Fractional Order Models Are Doubly Infinite Dimensional Models and thus of Infinite Memory: Consequences on Initialization and Some Solutions." Symmetry 13, no. 6 (2021): 1099. http://dx.doi.org/10.3390/sym13061099.

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Using a small number of mathematical transformations, this article examines the nature of fractional models described by fractional differential equations or pseudo state space descriptions. Computation of the impulse response of a fractional model using the Cauchy method shows that they exhibit infinitely small and high time constants. This impulse response can be rewritten as a diffusive representation whose Fourier transform permits a representation of a fractional model by a diffusion equation in an infinite space domain. Fractional models can thus be viewed as doubly infinite dimensional
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Dissertations / Theses on the topic "Infinite"

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Widmer, Steven. "Topics in word complexity." Thesis, Lyon 1, 2010. http://www.theses.fr/2010LYO10287/document.

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Les principaux sujets d'intérêt de cette thèse concerneront deux notions de la complexité d'un mot infini : la complexité abélienne et la complexité de permutation. La complexité abélienne a été étudiée durant les dernières décennies. La complexité de permutation est, elle, une forme de complexité des mots relativement nouvelle qui associe à chaque mot apériodique de manière naturelle une permutation infinie. Nous nous pencherons sur deux sujets dans le domaine de la complexité abélienne. Dans un premier temps, nous nous intéresserons à une notion abélienne de la maximal pattern complexity déf
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Wierst, Pauline Manninne Anna van. "Paradoxes of the applied infinite : infinite idealizations in Physics." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/86153.

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Ye, Jinglong. "Infinite semipositone systems." Diss., Mississippi State : Mississippi State University, 2009. http://library.msstate.edu/etd/show.asp?etd=etd-07072009-132254.

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Hernon, Hiatt K. "INFINITE JEST 2." Ohio University Honors Tutorial College / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1526633419508737.

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Aurand, Eric William. "Infinite Planar Graphs." Thesis, University of North Texas, 2000. https://digital.library.unt.edu/ark:/67531/metadc2545/.

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How many equivalence classes of geodesic rays does a graph contain? How many bounded automorphisms does a planar graph have? Neimayer and Watkins studied these two questions and answered them for a certain class of graphs. Using the concept of excess of a vertex, the class of graphs that Neimayer and Watkins studied are extended to include graphs with positive excess at each vertex. The results of this paper show that there are an uncountable number of geodesic fibers for graphs in this extended class and that for any graph in this extended class the only bounded automorphism is the identi
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Penrod, Keith. "Infinite product groups /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1977.pdf.

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Penrod, Keith G. "Infinite Product Group." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/976.

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The theory of infinite multiplication has been studied in the case of the Hawaiian earring group, and has been seen to simplify the description of that group. In this paper we try to extend the theory of infinite multiplication to other groups and give a few examples of how this can be done. In particular, we discuss the theory as applied to symmetric groups and braid groups. We also give an equivalent definition to K. Eda's infinitary product as the fundamental group of a modified wedge product.
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Miraftab, Babak [Verfasser], and Reinhard [Akademischer Betreuer] Diestel. "On infinite graphs and infinite groups / Babak Miraftab ; Betreuer: Reinhard Diestel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://d-nb.info/1196295921/34.

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Lemonidis, Panayiotis. "Global optimization algorithms for semi-infinite and generalized semi-infinite programs." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/43200.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 2008.<br>Includes bibliographical references (p. 235-249).<br>The goals of this thesis are the development of global optimization algorithms for semi-infinite and generalized semi-infinite programs and the application of these algorithms to kinetic model reduction. The outstanding issue with semi-infinite programming (SIP) was a methodology that could provide a certificate of global optimality on finite termination for SIP with nonconvex functions participating. We have developed the first methodology that c
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Miraftab, Babak Verfasser], and Reinhard [Akademischer Betreuer] [Diestel. "On infinite graphs and infinite groups / Babak Miraftab ; Betreuer: Reinhard Diestel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://nbn-resolving.de/urn:nbn:de:gbv:18-99812.

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Books on the topic "Infinite"

1

W, Moore A. The infinite. Routledge, 1990.

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Bianco, Gabriella. Infinitas lunas, infinitos soles: Autobiografía literaria y poética = infinite moons, infinite suns. Editorial Dunken, 2010.

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Wallace, David Foster. Everything and more: A compact history of infinity. Atlas Book, 2010.

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Shih, Cheng-yen. Infinite teachings, infinite meanings. Edited by Jing Si Publications and Tzu Chi Publisitorial Team. Jing Si Publications Co., Ltd., 2015.

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Meadows, Jodi. Infinite. Katherine Tegen Books/HarperCollins, 2014.

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Fabian, Karina L. Infinite space, infinite God II. Twilight Times Books, 2010.

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Infinitas lunas, infinitos soles: Infinite Moons, Infinite Suns. Editorial Dunken - Buenos Aires, 2010.

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Brown, E., and Marian Osborne. Infinite Infinity Omnibus. Independently Published, 2019.

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Grignolo, Maura. Infinite Volte Infinito. Independently Published, 2017.

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Grignolo, Maura. Infinite Volte Infinito. Independently Published, 2017.

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Book chapters on the topic "Infinite"

1

Martín-Vide, Carlos. "Infinitely Many Infinities." In Finite Versus Infinite. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0751-4_14.

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Milner, E. C. "Infinite Sets and Infinite Graphs." In Graphs and Order. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5315-4_22.

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Pólya, George, and Gabor Szegö. "Infinite Series and Infinite Sequences." In Problems and Theorems in Analysis I. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-61983-0_16.

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Protter, Murray H., and Charles B. Morrey. "Infinite Sequences and Infinite Series." In A First Course in Real Analysis. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4419-8744-0_9.

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Chen, Yiyun, and Michael J. O'Donnell. "Infinite terms and infinite rewritings." In Conditional and Typed Rewriting Systems. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54317-1_84.

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Salemi, Stefano. "Infinite Risk and Infinite Love." In Infinite Risk Theology. Routledge, 2025. https://doi.org/10.4324/9781003593102-4.

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Turner, Pamela Taylor. "Auspicious Beginnings." In Infinite Animation. CRC Press, 2019. http://dx.doi.org/10.1201/9781351209397-1.

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Stewart, Ian. "7. Counting infinity." In Infinity: A Very Short Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/actrade/9780198755234.003.0008.

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‘Counting infinity’ returns to the mathematics of infinity, discussing Cantor’s remarkable theory of how to count infinite sets, and the discovery that there are different sizes of infinity. For example, the set of all integers is infinite, and the set of all real numbers (infinite decimals) is infinite, but these infinities are fundamentally different, and there are more real numbers than integers. The ‘numbers’ here are called transfinite cardinals. For comparison, another way to assign numbers to infinite sets is mentioned, by placing them in order, leading to transfinite ordinals. It ends
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Earl, Richard. "Taming infinity." In Mathematical Analysis: A Very Short Introduction. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/actrade/9780198868910.003.0001.

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Abstract For millennia, the topics of infinity—the infinitely large—and infinitesimals—the infinitely small—have generated paradoxes. ‘Taming infinity’ introduces some of the main questions of analysis and the need for infinite processes or ‘potential infinities’ within mathematics. Having a historical flavour, it highlights some of these paradoxes which led to a need for increased rigour. It concludes with a brief discussion of the work of Bolzano, Cauchy, and Weierstrass, who first provided a clear definition of a limit in the 19th century, and stresses the role of clarity as a basis for pro
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Bordogna, Francesca. "James and Math." In The Oxford Handbook of William James. Oxford University Press, 2022. http://dx.doi.org/10.1093/oxfordhb/9780199395699.013.17.

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Abstract In the last thirty years of his life, William James reflected periodically on two questions concerning infinite totalities: is the notion of an infinite totality logically contradictory? And, if not, are infinite totalities endowed with “extra-logical,” “extra-mathematical” existence? As he addressed these questions, James drew a distinction between two kinds of infinities: “growing infinities,” such as the infinite series of the natural numbers 1, 2, …, n, …, and “standing infinities,” as would be the stars under the assumption that infinitely many stars exist. He rejected as self-co
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Conference papers on the topic "Infinite"

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Bozinovski, Stevo, and Adrijan Bozinovski. "Artificial Intelligence and infinity: Infinite series generated by Turing Machines." In SoutheastCon 2017. IEEE, 2017. http://dx.doi.org/10.1109/secon.2017.7925371.

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Khlopin, Dmitry. "On boundary conditions at infinity for infinite horizon control problem." In 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA). IEEE, 2017. http://dx.doi.org/10.1109/cnsa.2017.7973969.

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Hazelden, K. "Infinite Infants." In Visual Languages and Human-Centric Computing (VL/HCC'06). IEEE, 2006. http://dx.doi.org/10.1109/vlhcc.2006.26.

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Nagao, Ryohei, Keigo Matsumoto, Takuji Narumi, Tomohiro Tanikawa, and Michitaka Hirose. "Infinite stairs." In SIGGRAPH '17: Special Interest Group on Computer Graphics and Interactive Techniques Conference. ACM, 2017. http://dx.doi.org/10.1145/3084822.3084838.

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Tsuchiya, A., T. Eguchi, and M. Jimbo. "Infinite Analysis." In RIMS PROJECT 1991. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789812798282.

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Mikesh, Elizabeth, and Barba Aldis Patton. "Infinite Learning." In London International Conference on Education. Infonomics Society, 2021. http://dx.doi.org/10.20533/lice.2021.0012.

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Deng, Xiaotie, and Sanjeev Mahajan. "Infinite games." In the twenty-third annual ACM symposium. ACM Press, 1991. http://dx.doi.org/10.1145/103418.103451.

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Ho, Xavier, and Stephen Krol. "Infinite Colours." In SA Art Gallery '23: ACM SIGGRAPH Asia 2023 Art Gallery. ACM, 2023. http://dx.doi.org/10.1145/3610537.3622958.

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Piech, Chris, Mehran Sahami, Yasmine Alonso, et al. "Infinite Story." In SIGCSE TS 2025: The 56th ACM Technical Symposium on Computer Science Education. ACM, 2025. https://doi.org/10.1145/3641555.3705037.

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Martins, Pedro Henrique, Zita Marinho, and Andre Martins. "∞-former: Infinite Memory Transformer-former: Infinite Memory Transformer." In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers). Association for Computational Linguistics, 2022. http://dx.doi.org/10.18653/v1/2022.acl-long.375.

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Reports on the topic "Infinite"

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Choi, Sun Young. Infinite symmetry. Iowa State University, Digital Repository, 2016. http://dx.doi.org/10.31274/itaa_proceedings-180814-1591.

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Hu, Hui. Semi-Infinite Programming. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada207403.

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Nagle, J. On Packet Switches With Infinite Storage. RFC Editor, 1985. http://dx.doi.org/10.17487/rfc0970.

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Christey, S. The Infinite Monkey Protocol Suite (IMPS). RFC Editor, 2000. http://dx.doi.org/10.17487/rfc2795.

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Maqsood, Elham, and King Abdul. Alom wa Ebnatoha in Infinite Blue. Iowa State University, Digital Repository, 2014. http://dx.doi.org/10.31274/itaa_proceedings-180814-987.

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Freyberger, Joachim, and Matthew Masten. Compactness of infinite dimensional parameter spaces. Institute for Fiscal Studies, 2016. http://dx.doi.org/10.1920/wp.cem.2016.0116.

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Kocherlakota, Narayana. Infinite Debt Rollover in Stochastic Economies. National Bureau of Economic Research, 2022. http://dx.doi.org/10.3386/w30409.

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Demkowicz, L., and Jie Shen. A Few New (?) Facts About Infinite Elements. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada437980.

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Sandstede, Bjorn. Geometric Methods for Infinite-Dimensional Dynamical Systems. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada566477.

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Ito, K., and F. Kappel. Approximation of Infinite Delay and Volterra Type Equations. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada177116.

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