Academic literature on the topic 'Infinite. Mathematics, Chinese'

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Journal articles on the topic "Infinite. Mathematics, Chinese"

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Rao, K. P. S. Bhaskara, and R. M. Shortt. "Group-valued charges: common extensions and the infinite Chinese remainder property." Proceedings of the American Mathematical Society 113, no. 4 (1991): 965. http://dx.doi.org/10.1090/s0002-9939-1991-1059633-9.

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Lepellere, Maria Antonietta, Livio Clemente Piccinini, and Mario Taverna. "FROM LINGUISTIC REPRESENTATION TO FUZZY MATHEMATICS IN GROWN UP PEOPLE." SOCIETY. INTEGRATION. EDUCATION. Proceedings of the International Scientific Conference 3 (May 25, 2018): 555–65. http://dx.doi.org/10.17770/sie2018vol1.3314.

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The aim of this note is to give some critical examples where even the use of the same clustering rules lead to fuzziness. It starts from poor numerical systems and compares them with the expanded Sergeyev model, where the grossone is used, as an infinite terminal element. It can be compared with terminal elements of the ancient languages, such as the Greek myriad and the Chinese wan. On them some propositions that hold in the arithmetic of the grossone are similar, while they are not meaningful for the countable system of infinity. The note shows that both the upward and downward trend are actually present in human language and in conceptual arrangements. The note then goes on to sketch the model of evolution of Bak-Sneppen, showing two significant applications: the case of the evolution and study of foreign languages and, according to the model of Lloyd, the territorial analysis. In both cases it is highlighted how the Bak-Sneppen model becomes more stable when the universe is segmented, as already proven by the authors in previous works. The third part examines some cases of false probabilistic intuition due to incomplete perception of the phenomena, what could therefore be defined as hidden conditional probability. Interesting is the classic application of the theory of games to lotteries and ternary games, such as Chinese morra.
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HE, JI-HUAN. "AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING." International Journal of Modern Physics B 22, no. 21 (2008): 3487–578. http://dx.doi.org/10.1142/s0217979208048668.

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This review is an elementary introduction to the concepts of the recently developed asymptotic methods and new developments. Particular attention is paid throughout the paper to giving an intuitive grasp for Lagrange multiplier, calculus of variations, optimization, variational iteration method, parameter-expansion method, exp-function method, homotopy perturbation method, and ancient Chinese mathematics as well. Subsequently, nanomechanics in textile engineering and E-infinity theory in high energy physics, Kleiber's 3/4 law in biology, possible mechanism in spider-spinning process and fractal approach to carbon nanotube are briefly introduced. Bubble-electrospinning for mass production of nanofibers is illustrated. There are in total more than 280 references.
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Awadalla, Muath, Yves Yannick Yameni Noupoue, and Kinda Abu Asbeh. "Psi-Caputo Logistic Population Growth Model." Journal of Mathematics 2021 (July 26, 2021): 1–9. http://dx.doi.org/10.1155/2021/8634280.

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This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories. A fractional derivative known as psi-Caputo plays a substantial role in the study. We proved existence and uniqueness of the solution to the problem using the psi-Caputo fractional derivative. The Chinese population, whose carrying capacity, K, tends to infinity, is used as evidence to prove that the proposed approach is appropriate and performs better than the usual logistic growth equation for a population with a large carrying capacity. A psi-Caputo logistic model with the kernel function x + 1 performed the best as it minimized the error rate to 3.20% with a fractional order of derivative α = 1.6455.
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Pohl, Sarah Sophie, and Christian Richter. "The complete characterization of tangram pentagons." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, September 14, 2020. http://dx.doi.org/10.1007/s13366-020-00528-1.

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Abstract The old Chinese puzzle tangram gives rise to serious mathematical problems when one asks for all tangram figures that satisfy particular geometric properties. All 13 convex tangram figures are known since 1942. They include the only triangular and all six quadrangular tangram figures. The families of all n-gonal tangram figures with $$n \ge 6$$ n ≥ 6 are either infinite or empty. Here we characterize all 53 pentagonal tangram figures, including 51 non-convex pentagons and 31 pentagons whose vertices are not contained in the same orthogonal lattice.
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Dissertations / Theses on the topic "Infinite. Mathematics, Chinese"

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Xu, Yibao. "Concepts of infinity in Chinese mathematics." 2005. http://catalog.hathitrust.org/api/volumes/oclc/62951926.html.

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Book chapters on the topic "Infinite. Mathematics, Chinese"

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Martzloff, Jean-Claude. "Infinite Series." In A History of Chinese Mathematics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-540-33783-6_19.

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Gurukkal, Rajan. "Knowledge Production." In History and Theory of Knowledge Production. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199490363.003.0003.

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The chapter traces the non-European roots of specialized knowledge production in the ancient times as illustrated by the civilizations of the Indian and the Chinese regions. Examining the archaeology and ethno-archaeology of remains of the civilizations in the valleys of the Indus and Yellow rivers, we try and capture the earliest knowledge in crafts production technology such as architecture, metallurgy, lapidary, and ceramics. Orally transmitted Vedic knowledge, eschatology, metaphysics, grammar, phonetics, astronomy, the post-Vedic systems of thought, Ayurvedic knowledge, architecture, nature of metallurgical texts, the Indian and Chinese textual traditions, and epistemological traces constitute other contents of the chapter. This chapter underscores the early India’s methodologically distinct aphoristic structure of stating truth as astute observations generalized as self-validated principles, the logic of which corresponds to that of mathematical equations or formulas. It discusses the history of mathematical astronomy. A distinct epistemic shift is explicit in India’s astronomy of fourteenth to sixteenth centuries CE. Mādhava of Sangamagrāma (c. 1340–1425 CE) in Kerala marks the beginnings of this shift through his path-breaking mathematical advances in conceptualizing infinite series. The chapter ends with a concise discussion of the Chinese history of knowledge systems across the material cultures
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