Relevant bibliographies by topics / Jaina Mathematics

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  2. Dissertations / Theses
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Academic literature on the topic 'Jaina Mathematics'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Jaina Mathematics"

1

Høyrup, Jens. "On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”." Science in Context 14, no. 1-2 (June 2001): 85–131. http://dx.doi.org/10.1017/s0269889701000047.

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For more than a century, there has been some discussion about whether medieval Arabic al-jabr (and hence also later European algebra) has its roots in Indian or Greek mathematics. Since the 1930s, the possibility of Babylonian ultimate roots has entered the debate. This article presents a new approach to the problem, pointing to a set of quasi-algebraic riddles that appear to have circulated among Near Eastern practical geometers since c. 2000 BCE, and which inspired first the so-called “algebra” of the Old Babylonian scribal school and later the geometry of Elements II (where the techniques are submitted to theoretical investigation). The riddles also turn up in ancient Greek practical geometry and Jaina mathematics. Eventually they reached European (Latin and abbaco) mathematics via the Islamic world. However, no evidence supports a derivation of medieval Indian algebra or the original core of al-jabr from the riddles.
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Doğru, O., R. N. Mohapatra, and M. Örkcü. "Approximation properties of generalized Jain operators." Filomat 30, no. 9 (2016): 2359–66. http://dx.doi.org/10.2298/fil1609359d.

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In this paper, we investigate a variant of the Jain operators, which preserve the linear functions. We compute the rate of convergence of these operators with the help of K-functional. We also introduce modifications of the Jain operators based on the models in [4] and [10]. These modified operators yield better error estimates than the Jain operators.
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Bodur, Murat. "Modified Lupaş-Jain operators." Mathematica Slovaca 70, no. 2 (April 28, 2020): 431–40. http://dx.doi.org/10.1515/ms-2017-0361.

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Abstract The goal of this paper is to propose a modification of Lupaş-Jain operators based on a function ρ having some properties. Primarily, the convergence of given operators in weighted spaces is discussed. Then, order of approximation via weighted modulus of continuity is computed for these operators. Further, Voronovskaya type theorem in quantitative form is taken into consideration, as well. Ultimately, some graphical results that illustrate the convergence of investigated operators to f are given.
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Patel, Prashantkumar. "Some approximation properties of new families of positive linear operators." Filomat 33, no. 17 (2019): 5477–88. http://dx.doi.org/10.2298/fil1917477p.

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In the present article, we propose the new class positive linear operators, which discrete type depending on a real parameters. These operators are similar to Jain operators but its approximation properties are different then Jain operators. Theorems of degree of approximation, direct results, Voronovskaya Asymptotic formula and statistical convergence are discussed.
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Özarslan, Mehmet. "Approximation properties of Jain-Stancu operators." Filomat 30, no. 4 (2016): 1081–88. http://dx.doi.org/10.2298/fil1604081o.

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In the present paper, we introduce the Stancu type Jain operators, which generalize the wellknown Sz?sz-Mirakyan operators via Lagrange expansion. We investigate their weighted approximation properties and compute the error of approximation by using the modulus of continuity. We also give an asymptotic expansion of Voronovskaya type. Finally, we introduce a modified form of our operators, which preserves linear functions, provides a better error estimation than the Jain operators and allows us to give global results in a certain subclass of C[0,?). Note that the usual Jain operators do not preserve linear functions and the global results in a certain subspace of C[0,?) can not be given for them.
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Özarslan, Mehmet. "Approximation properties of Jain-Appell operators." Applicable Analysis and Discrete Mathematics, no. 00 (2020): 44. http://dx.doi.org/10.2298/aadm190223044o.

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In this paper, we introduce the Jain-Appell operators by applying Gamma transform to the Jakimovski-Leviatan operators. In their special cases they include not only the Jain-Pethe operators, but also new families of operators, where we call them Appell-Baskakov and Appell-Lupa? operators, since their special cases contain Baskakov and Lupa? operators, respectively. We investigate their weighted approximation properties and compute the error of approximation by using certain Lipschitz class functions. Furthermore, we obtain their A-statistical approximation property.
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Mishra, Vishnu Narayan, Preeti Sharma, and Marius Mihai Birou. "Approximation by modified Jain–Baskakov operators." Georgian Mathematical Journal 27, no. 3 (September 1, 2020): 403–12. http://dx.doi.org/10.1515/gmj-2019-2008.

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AbstractIn the present paper, we discuss the approximation properties of Jain–Baskakov operators with parameter c. The paper deals with the modified forms of the Baskakov basis functions. Some direct results are established, which include the asymptotic formula, error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct the King modification of these operators, which preserves the test functions {e_{0}} and {e_{1}}. It is shown that these King type operators provide a better approximation order than some Baskakov–Durrmeyer operators for continuous functions defined on some closed intervals.
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Kozel, Karel, and Jiří Neustupa. "Professor Jan Polášek (on the occasion of his sixtieth birthday)." Applications of Mathematics 31, no. 4 (1986): 340–41. http://dx.doi.org/10.21136/am.1986.104210.

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JAIN, RAHUL, ASHWIN NAYAK, and YI SU. "A separation between divergence and Holevo information for ensembles." Mathematical Structures in Computer Science 20, no. 5 (October 2010): 977–93. http://dx.doi.org/10.1017/s0960129510000289.

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The notion of divergence information of an ensemble of probability distributions was introduced by Jain, Radhakrishnan and Sen in Jain et al. (2002; 2009) in the context of the ‘substate theorem’. Since then, divergence has been recognised as a more natural measure of information in several situations in both quantum and classical communication.We construct ensembles of probability distributions for which divergence information may be significantly smaller than the more standard Holevo information. As a result, we establish that bounds previously shown for Holevo information are weaker than similar ones shown for divergence information.
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Thomas, J. W. "Numerical Methods for Scientific and Engineering Computation (M. K. Jain, S. R. K. Iyengar And R. K. Jain, eds)." SIAM Review 29, no. 1 (March 1987): 166–67. http://dx.doi.org/10.1137/1029037.

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Dissertations / Theses on the topic "Jaina Mathematics"

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Morice-Singh, Catherine. "Mathématiques et cosmologie jaina. Nombres et algorithmes dans le Gaṇitasārasaṃgraha et la Tiloyapaṇṇattī." Thesis, Sorbonne Paris Cité, 2015. http://www.theses.fr/2015USPCA110.

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Cette étude se fonde sur l’analyse et la traduction française de nombreux passages de deux textes appartenant à la même tradition jaina digambara. Le premier, le Gaṇitasārasaṃgraha (9ème siècle), s’inscrit dans la lignée des textes versifiés de mathématiques en sanskrit et y tient une place prépondérante. Comme les ouvrages de la même famille, il donne un grand nombre de prescriptions algorithmiques de calcul utiles à la résolution de problèmes liés aux « affaires du monde », tout en se démarquant par certaines particularités de structure qui n’ont pas encore été expliquées. Le deuxième, la Tiloyapaṇṇattī (6ème – 9ème siècle), est versifié en prakrit śauraseṇī jaina. C’est un texte semi-religieux de nature encyclopédique qui expose des informations détaillées, la plupart de nature mathématique, sur tout ce qui existe dans les trois mondes du cosmos jaina. Le but de cette thèse est de tisser des liens entre les deux textes pour tenter d’apprécier dans quelle mesure les procédures mathématiques de l’un entrent en résonance avec celles de l’autre, et surtout, de déterminer comment les éclairages apportés par le texte de cosmologie peuvent aider à mieux comprendre certains points obscurs de celui de mathématiques
This study is based on an analysis and translation into French of numerous excerpts from two texts belonging to the same Jaina Digambara tradition. The first text, the Gaṇitasārasaṃgraha (850 A.D.), is a significant work in the group of versified Sanskrit mathematical texts to which it belongs. Like works of the same lineage, it expounds many computational algorithms aimed at solving problems of the “worldly mathematics” category. However, there are some idiosyncrasies in its structure which have not yet been explained. The second text, the Tiloyapaṇṇattī (ca. 500-800 A.D.) is versified in Jaina Śauraseni Prakrit. This semi-religious work provides much mathematical information on everything that exists in the three worlds of the Jaina Cosmos. This thesis seeks to make connections between the mathematical procedures of the two texts and, specifically, to see how the content of the second, the cosmology text, could enhance our understanding of the mathematical text, and help to clarify some of the unanswered questions the latter raises
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Müttel, Janina [Verfasser]. "Cycle spectra of graphs / Janina Müttel." Ulm : Universität Ulm. Fakultät für Mathematik und Wirtschaftswissenschaften, 2013. http://d-nb.info/1035699486/34.

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Marečková, Jana [Verfasser]. "Three Essays on Regularization and Machine Learning / Jana Marečková." Konstanz : KOPS Universität Konstanz, 2019. http://d-nb.info/1197537104/34.

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Stompe, Janina Annuschka [Verfasser], and A. [Akademischer Betreuer] Kirsch. "Transmission Eigenvalues for Periodic Media / Janina Annuschka Stompe ; Betreuer: A. Kirsch." Karlsruhe : KIT-Bibliothek, 2017. http://d-nb.info/1147485070/34.

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Bohnstengel, Jana [Verfasser], Marc [Akademischer Betreuer] Keßeböhmer, and Gitta [Akademischer Betreuer] Kutyniok. "Wavelet and Fourier bases on Fractals / Jana Bohnstengel. Gutachter: Marc Keßeböhmer ; Gitta Kutyniok. Betreuer: Marc Keßeböhmer." Bremen : Staats- und Universitätsbibliothek Bremen, 2011. http://d-nb.info/1071898108/34.

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Thomann, Jana [Verfasser], Gabriele [Akademischer Betreuer] Eichfelder, and Jörg [Gutachter] Fliege. "A trust region approach for multi-objective heterogeneous optimization / Jana Thomann ; Gutachter: Jörg Fliege ; Betreuer: Gabriele Eichfelder." Ilmenau : TU Ilmenau, 2019. http://d-nb.info/1184797269/34.

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Reker, Jana [Verfasser]. "Distributional properties of killed exponential functionals and short-time behavior of Lévy-driven stochastic differential equations / Jana Reker." Ulm : Universität Ulm, 2021. http://d-nb.info/1227995377/34.

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Shelley, Valerie Anderson 1957. "Validity of the Jain and Balk analytic model for two-dimensional effects in short channel MOSFETS." Thesis, The University of Arizona, 1988. http://hdl.handle.net/10150/276801.

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The Jain and Balk analytic model for two-dimensional effects in short channel MOSFETS is investigated. The effects considered are Drain Induced Barrier Lowering, DIBL, and the maximum electric field, Emax, which influences Drain Induced High Field, DIHF. A scaled short channel design is used as the basis for the investigation. Cases are numerically simulated using the MINIMOS program. DIBL and Emax are calculated using the Jain and Balk model. Model values are compared to numerical simulation values. Results show the model consistently overestimates DIBL. Also, the range for which the model closely estimates Emax is found. Variation in Emax with change of junction depth Xj is investigated. The electric field, Ex, as it varies with depth in the channel is investigated, and compared to the Jain and Balk approximation. The deviations suggest that the model must break down for short channels.
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Fruth, Jana Verfasser], Sonja [Akademischer Betreuer] [Kuhnt, Joachim [Gutachter] Kunert, and Clémentine [Gutachter] Prieur. "New methods for the sensitivity analysis of black-box functions with an application to sheet metal forming / Jana Fruth. Betreuer: Sonja Kuhnt. Gutachter: Joachim Kunert ; Clémentine Prieur." Dortmund : Universitätsbibliothek Dortmund, 2015. http://d-nb.info/1101605332/34.

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Fruth, Jana [Verfasser], Sonja [Akademischer Betreuer] Kuhnt, Joachim [Gutachter] Kunert, and Clémentine [Gutachter] Prieur. "New methods for the sensitivity analysis of black-box functions with an application to sheet metal forming / Jana Fruth. Betreuer: Sonja Kuhnt. Gutachter: Joachim Kunert ; Clémentine Prieur." Dortmund : Universitätsbibliothek Dortmund, 2015. http://d-nb.info/1101605332/34.

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Books on the topic "Jaina Mathematics"

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Lishk, S. S. Jaina astronomy. [Delhi, India: Vidya Sagara Publications, 1987.

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C, Jain L. Mathematical sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2008.

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Jain, L. C. Mathematical sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2008.

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C, Jain L. Mathematical sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2008.

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975-1000, Nemicandra Siddhāntacakravartin fl, and Jain Prabha 1962-, eds. Mathematical sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2008.

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C, Jain L. Mathematical sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2008.

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C, Jain L. Mathematical sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2008.

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Brahmacharini, Prabha, ed. The exact sciences in the karma antiquity. Jabalpur: Shri Brāhmī Sundarī Prasthāśram Samiti, 2003.

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Jaina, Anupama. Ardhamāgadhī sāhitya meṃ gaṇita. Lāḍanūm̐: Jaina Viśvabhāratī Viśvavidyālaya, 2008.

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Siddhāntacakravartin, Nemicandra, and Jain Prabha 1962-, eds. Systemic sciences in the karma antiquity. Jabalpur: Gulab Rani Karma Science Museum and Shri Brahmi Sundari Prasthashram Samiti, 2010.

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Book chapters on the topic "Jaina Mathematics"

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Ramasubramanian, K. "The First Unenumerable Number in Jaina Mathematics." In Gaṇitānanda, 143–58. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-1229-8_20.

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Høyrup, Jens. "Mahāvīra’s geometrical Problems: Traces of unknown Links between Jaina and Mediterranean Mathematics in the classical Ages." In History of the Mathematical Sciences, 83–95. Gurgaon: Hindustan Book Agency, 2004. http://dx.doi.org/10.1007/978-93-86279-16-3_7.

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Høyrup, Jens. "(Article I.4.) Mahāvīra’s Geometrical Problems Traces of Unknown Links between Jaina and Mediterranean Mathematics in the Classical Ages." In Selected Essays on Pre- and Early Modern Mathematical Practice, 117–29. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19258-7_5.

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Tobias, Michael Charles, and Jane Gray Morrison. "The Ecological Summons of Jain Mathematical Calculations." In On the Nature of Ecological Paradox, 597–600. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64526-7_63.

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Antoch, Jaromír, Marie Hušková, and Pranab K. Sen. "Life and Work of Jana Jurečková: An Appreciation." In Institute of Mathematical Statistics Collections, 1–11. Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2010. http://dx.doi.org/10.1214/10-imscoll701.

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Puttaswamy, T. K. "Mathematics of Jains." In Mathematical Achievements of Pre-Modern Indian Mathematics, 75–83. Elsevier, 2012. http://dx.doi.org/10.1016/b978-0-12-397913-1.00003-x.

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"From Zero to Infinity: Mathematics in Jain and Buddhist Literature." In Indian Mathematics, 97–144. WORLD SCIENTIFIC (EUROPE), 2016. http://dx.doi.org/10.1142/9781786340627_0004.

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Wyschogrod, Edith. "The Mathematical Model in Plato and Some Surrogates in a Jain Theory of Knowledge." In Crossover Queries, 464–73. Fordham University Press, 2006. http://dx.doi.org/10.5422/fso/9780823226061.003.0031.

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Conference papers on the topic "Jaina Mathematics"

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"Preface: 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and Real-World Models." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/12.0001325.

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"Sponsors: 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and Real-world Models." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/12.0001623.

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"Photos: 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and Real-world Models." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/12.0001624.

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"Participants: 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and Real-World Models." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/12.0001568.

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"Author Index: 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and Real-World Models." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/12.0001569.

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"Subject Index: 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and Real-World Models." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/12.0001570.

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