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Journal articles on the topic 'Jaina Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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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 (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 a

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2

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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3

Bodur, Murat. "Modified Lupaş-Jain operators." Mathematica Slovaca 70, no. 2 (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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4

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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5

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 pre

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6

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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7

Mishra, Vishnu Narayan, Preeti Sharma, and Marius Mihai Birou. "Approximation by modified Jain–Baskakov operators." Georgian Mathematical Journal 27, no. 3 (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 fun

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8

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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9

JAIN, RAHUL, ASHWIN NAYAK, and YI SU. "A separation between divergence and Holevo information for ensembles." Mathematical Structures in Computer Science 20, no. 5 (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 si

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10

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 (1987): 166–67. http://dx.doi.org/10.1137/1029037.

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11

Aral, Ali, Emre Deniz, and Vijay Gupta. "On the modification of the Szaśz–Durrmeyer operators." Georgian Mathematical Journal 23, no. 3 (2016): 323–28. http://dx.doi.org/10.1515/gmj-2016-0031.

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AbstractIn this paper we consider the modification of Szász–Durrmeyer operators based on the Jain basis function. Voronovskaya-type estimates of point-wise convergence along with its quantitative version based on the weighted modulus of smoothness are given. Moreover, a direct approximation theorem for the operators is proved.

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12

Kuehn, Christian. "Multiscale dynamics of an adaptive catalytic network." Mathematical Modelling of Natural Phenomena 14, no. 4 (2019): 402. http://dx.doi.org/10.1051/mmnp/2019015.

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We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes the co-evolution of a set of continuous-time autocatalytic ordinary differential equations and its underlying discrete-time graph structure. The graph dynamics is governed by deletion of vertices with asymptotically weak concentrations of prevalence and then re-insertion of vertices with new random connections. In this work, we prove several results about convergence of the continuous-time dynamics to equilibrium points. Furthermore, we motivate via formal asymptotic calculations several conjectu

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13

Badshah, V. H., and Varsha Joshi. "Semicompatibility and Fixed Point Theorems for Reciprocally Continuous Maps in a Fuzzy Metric Space." Journal of Applied Mathematics 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/410214.

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The aim of this paper is to prove a common fixed point theorem for six mappings on fuzzy metric space using notion of semicompatibility and reciprocal continuity of maps satisfying an implicit relation. We proposed to reanalysis the theorems of Imdad et al. (2002), Popa (2001), Popa (2002) and Singh and Jain (2005).

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14

Mishra, Urmila, Abhay Sharad Ranadive, and Dhananjay Gopal. "Some fixed point theorems in fuzzy metric space." Tamkang Journal of Mathematics 39, no. 4 (2008): 309–16. http://dx.doi.org/10.5556/j.tkjm.39.2008.4.

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In this paper we prove common fixed point theorems in fuzzy metric spaces employing the notion of reciprocal continuity. Moreover we have to show that in the context of reciprocal continuity the notion of compatibility and semi-compatibility of maps becomes equivalent. Our result improves recent results of Singh & Jain [13] in the sense that all maps involved in the theorems are discontinuous even at common fixed point.

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15

Beard, Les P. "Reply by Les P. Beard to José Arce." GEOPHYSICS 61, no. 4 (1996): 1229. http://dx.doi.org/10.1190/1.1487027.

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Jose Arce is correct in his observation that the field results of Roy and Jain (1973) are in contradiction the synthetically derived results of Beard and Tripp. I agree that field observations must ultimately take precedence over synthetic results. If careful field measurements consistently contradict theoretical results, then the mathematical model must be regarded as inadequate. However, geological complexity makes a single case history no more convincing than a single theoretical study, and few in‐field IP array comparisons have been published.

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16

MANAV, NESIBE, and NURHAYAT ISPIR. "Summation-Integral Type Operators Based on Lupas-Jain Functions." Kragujevac Journal of Mathematics 45, no. 02 (2021): 309–22. http://dx.doi.org/10.46793/kgjmat2102.309m.

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We introduce a genuine summation-integral type operators based on Lupaş-Jain type base functions related to the unbounded sequences. We investigated their degree of approximation in terms of modulus of continuity and ????-functional for the functions from bounded and continuous functions space. Furthermore, we give some theorems for the local approximation properties of functions belonging to Lipschitz class. Also, we give Voronovskaja theorem for these operators.

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17

Dahl, David B. "Comment on article by Jain and Neal." Bayesian Analysis 2, no. 3 (2007): 473–77. http://dx.doi.org/10.1214/07-ba219a.

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18

Robert, C. P. "Comment on article by Jain and Neal." Bayesian Analysis 2, no. 3 (2007): 479–82. http://dx.doi.org/10.1214/07-ba219b.

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19

MacEachern, Steven N. "Comment on article by Jain and Neal." Bayesian Analysis 2, no. 3 (2007): 483–94. http://dx.doi.org/10.1214/07-ba219c.

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20

ER, NOYAN. "A NOTE ON ESSENTIAL EXTENSIONS OF SEMI-SIMPLE MODULES." Journal of Algebra and Its Applications 07, no. 02 (2008): 225–30. http://dx.doi.org/10.1142/s0219498808002783.

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In a series of recent papers, Beidar, Jain and Srivastava studied the question as to when a ring R with the property that essential extensions of semi-simple right R-modules are direct sums of quasi-injectives is right Noetherian. Beidar and Jain proved that it is, when R is commutative or right q.f.d. In this note we extend their results proving the following: A ring R with this property is right Noetherian iff for some n ∈ ℕ, R/socn(RR) has ascending chain condition on essential non-two-sided right ideals (in particular, when R/socn(RR) is right q.f.d. or commutative). Also shown is the foll

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21

Kochar, Subhash C. "On preservation of some partial orderings under shock models." Advances in Applied Probability 22, no. 02 (1990): 508–9. http://dx.doi.org/10.1017/s0001867800019765.

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Singh and Jain (1989) have proved some preservation results for partial orderings of life distributions assuming that shocks occur according to a homogeneous Poisson process. It is shown that their results hold under less restrictive conditions.

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22

Kochar, Subhash C. "On preservation of some partial orderings under shock models." Advances in Applied Probability 22, no. 2 (1990): 508–9. http://dx.doi.org/10.2307/1427555.

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Singh and Jain (1989) have proved some preservation results for partial orderings of life distributions assuming that shocks occur according to a homogeneous Poisson process. It is shown that their results hold under less restrictive conditions.

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23

Berg, Christian. "On a Family of Functions Studied by Bhatia and Jain." Experimental Mathematics 26, no. 2 (2016): 241–46. http://dx.doi.org/10.1080/10586458.2016.1159624.

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24

Agratini, Octavian, and Ogun Dogru. "Kantorovich-type operators associated with a variant of Jain operators." Studia Universitatis Babes-Bolyai Matematica 66, no. 2 (2021): 279–88. http://dx.doi.org/10.24193/subbmath.2021.2.04.

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"This note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction is based on a class of discrete operators representing a new variant of Jain operators. By our statements, we prove that the integral family turns out to be useful in approximating continuous signals de ned on unbounded intervals. The main tools in obtaining these results are moduli of smoothness of rst and second order, K-functional and Bohman- Korovkin criterion."

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25

Lambert, Robert J. "Numerical Solution of Differential Equations—Second Edition (M. K. Jain)." SIAM Review 28, no. 1 (1986): 112–13. http://dx.doi.org/10.1137/1028030.

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26

Lee, Tsiu-Kwen. "A note on inner and reflexive inverses in semiprime rings." Journal of Algebra and Its Applications 19, no. 10 (2019): 2050197. http://dx.doi.org/10.1142/s0219498820501972.

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Let [Formula: see text] be a semiprime ring, not necessarily with unity, and [Formula: see text]. Let [Formula: see text] (respectively, [Formula: see text]) denote the set of inner (respectively, reflexive) inverses of [Formula: see text] in [Formula: see text]. It is proved that if [Formula: see text], then [Formula: see text] if and only if [Formula: see text] for all [Formula: see text]. As an immediate consequence, if [Formula: see text], then [Formula: see text] (see Theorem 7 in [A. Alahmadi, S. K. Jain and A. Leroy, Regular elements determined by generalized inverses, J. Algebra Appl.

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27

Taran, Z. "Corrigendum to Jain and Dubes (1988)." Journal of Classification 17, no. 2 (2000): 152. http://dx.doi.org/10.1007/s003570000012.

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28

Mishra, P. Patel and V. N. "On Approximation Properties of Modified Sazas-Mirakyan Operators via Jain Operators." Analysis in Theory and Applications 32, no. 3 (2016): 232–41. http://dx.doi.org/10.4208/ata.2016.v32.n3.3.

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29

Hogan, S. J., L. Higham, and T. C. L. Griffin. "Dynamics of a piecewise linear map with a gap." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2077 (2006): 49–65. http://dx.doi.org/10.1098/rspa.2006.1735.

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In this paper, we consider periodic solutions of discontinuous non-smooth maps. We show how the fixed points of a general piecewise linear map with a discontinuity (‘a map with a gap’) behave under parameter variation. We show in detail all the possible behaviours of period 1 and period 2 solutions. For positive gaps, we find that period 2 solutions can exist independently of period 1 solutions. Conversely, for negative gaps, period 1 and period 2 solutions can coexist. Higher periodic orbits can also exist and be stable and we give several examples of how these solutions behave under paramete

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30

Rahman, Mizan. "Some Extensions of Askey-Wilson's Q-Beta Integral and the Corresponding Orthogonal Systems." Canadian Mathematical Bulletin 31, no. 4 (1988): 467–76. http://dx.doi.org/10.4153/cmb-1988-068-6.

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AbstractA seven-parameter extension of Askey and Wilson's four parameter q-beta integral is written in a symmetric form as the sum of multiples of two very-well-poised balanced basic hypergeometric 10Φ9 series. Two special cases are considered in which the evaluation of the integral gives single terms by the q-Dixon formula in one case and by a special case of the Verma-Jain formula in the other. An orthogonal polynomial system is obtained in the first case and a system of biorthogonal rational function is obtained in the second. It is also shown that the biorthogonal system represents a gener

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31

Tripsiannis, Gregory A., Afroditi A. Papathanasiou, and Andreas N. Philippou. "Generalized distributions of orderkassociated with success runs in Bernoulli trials." International Journal of Mathematics and Mathematical Sciences 2003, no. 13 (2003): 801–15. http://dx.doi.org/10.1155/s0161171203207250.

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In a sequence of independent Bernoulli trials, by counting multidimensional lattice paths in order to compute the probability of a first-passage event, we derive and study a generalized negative binomial distribution of orderk, typeI, which extends to distributions of orderk, the generalized negative binomial distribution of Jain and Consul (1971), and includes as a special case the negative binomial distribution of orderk, typeI, of Philippou et al. (1983). This new distribution gives rise in the limit to generalized logarithmic and Borel-Tanner distributions and, by compounding, to the gener

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32

Zhou, Yiqiang. "Notes on weakly-semisimple rings." Bulletin of the Australian Mathematical Society 52, no. 3 (1995): 517–25. http://dx.doi.org/10.1017/s0004972700014982.

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Responding to a question on right weakly semisimple rings due to Jain, Lopez-Permouth and Singh, we report the existence of a non-right-Noetherian ring R for which every uniform cyclic right it-module is weakly-injective and every uniform finitely generated right R-module is compressible. We show that a ring R is a right Noetherian ring for which every cyclic right R-module is weakly R-injective if and only if R is a right Noetherian ring for which every uniform cyclic right R-module is compressible if and only if every cyclic right R-module is compressible. Finally, we characterise those modu

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33

Bednarski, Tadeusz. "Hugo Dionizy Steinhaus – droga do współczesnej teorii prawdopodobieństwa." Acta Universitatis Lodziensis. Folia Oeconomica 4, no. 336 (2018): 61–70. http://dx.doi.org/10.18778/0208-6018.336.04.

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Hugo Steinhaus (1887–1972) ukończył studia matematyczne i filozoficzne na Uniwersytecie Lwowskim. W latach 1905–1911 przebywał w Getyndze, pracując nad doktoratem pod opieką Davida Hilberta. W 1920 roku został profesorem Uniwersytetu Jana Kazimierza we Lwowie. Skupione wokół niego i Stefana Banacha grono wybitnych matematyków tworzyło silny ośrodek matematyczny specjalizujący się w analizie funkcjonalnej. Po II wojnie światowej osiedlił się we Wrocławiu, gdzie współtworzył matematyczne środowisko naukowe, a następnie wrocławską szkołę zastosowań matematyki. Jest autorem i współautorem ponad 25

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34

Guo, Victor J. W. "Elementary proofs of some q-identities of Jackson and Andrews–Jain." Discrete Mathematics 295, no. 1-3 (2005): 63–74. http://dx.doi.org/10.1016/j.disc.2005.03.001.

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35

Blahovec, J., and V. Mareš. "Approximation of bruise spot volume in pears in plots against deformation parameters." Research in Agricultural Engineering 49, No. 2 (2012): 50–55. http://dx.doi.org/10.17221/4952-rae.

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Pears of different varieties were compressed between two flat rigid plates in loading/unloading tests. The bruise spots appearing after room temperature incubation were analysed manually, and bruise spot volumes were determined. The main parts of the paper discuss mathematical approximation of total bruise volume versus two deformation parameters defined in previous papers: hysteresis losses and degree of elasticity. The polynomial of the second order was used for this purpose, but success of this method depends on including some part of not-bruising results in the analysis. Characteristic val

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36

Moreno-Fernández, José M., and Mercedes Siles Molina. "Graph algebras and the Gelfand–Kirillov dimension." Journal of Algebra and Its Applications 17, no. 05 (2018): 1850095. http://dx.doi.org/10.1142/s0219498818500950.

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We study some properties of the Gelfand–Kirillov dimension in a non-necessarily unital context, in particular, its Morita invariance when the algebras have local units, and its commutativity with direct limits. We then give some applications in the context of graph algebras, which embraces, among some others, path algebras and Cohn and Leavitt path algebras. In particular, we determine the GK-dimension of these algebras in full generality, so extending the main result in A. Alahmadi, H. Alsulami, S. K. Jain and E. Zelmanov, Leavitt Path algebras of finite Gelfand–Kirillov dimension, J. Algebra

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37

Reinhardt, R. "Jain, M. K./Iyengar, S. R. K./Jain, R. K., Numerical Methods for Scientific and Engineering Computation. New Delhi etc., Wiley Eastern Ltd., 1985. VIII, 406 S., £ 4.95, ISBN 0-85226-434-8." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 66, no. 12 (1986): 634. http://dx.doi.org/10.1002/zamm.19860661224.

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38

Raz, Tzvi. "The Art of Computer Systems Performance Analysis: Techniques for Experimental Design, Measurement, Simulation, and Modeling (Raj Jain)." SIAM Review 34, no. 3 (1992): 518–19. http://dx.doi.org/10.1137/1034111.

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Birkenmeier, Gary F., Jae Keol Park, and S. Tariq Rizvi. "Hulls of Ring Extensions." Canadian Mathematical Bulletin 53, no. 4 (2010): 587–601. http://dx.doi.org/10.4153/cmb-2010-065-9.

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AbstractWe investigate the behavior of the quasi-Baer and the right FI-extending right ring hulls under various ring extensions including group ring extensions, full and triangular matrix ring extensions, and infinite matrix ring extensions. As a consequence, we show that for semiprime rings R and S, if R and S are Morita equivalent, then so are the quasi-Baer right ring hulls of R and S, respectively. As an application, we prove that if unital C*-algebras A and B are Morita equivalent as rings, then the bounded central closure of A and that of B are strongly Morita equivalent as C*-algebras.

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Britvić Vetma, Bosiljka, Frane Staničić, and Božidar Horvat. "Transformacija upravnog sudovanja zbog primjene nadnacionalnog prava." Godišnjak Akademije pravnih znanosti Hrvatske 12, no. 1 (2021): 45–65. http://dx.doi.org/10.32984/gapzh.12.1.3.

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U posljednjih nekoliko desetljeća primjećujemo sve veće približavanje europskoga pravnog poretka i nacionalnoga pravnog poretka. Stupanjem na snagu Povelje o ljudskim pravima Europske unije samo je pojačano nastojanje da sva javna prava država na kontinentu idu u istom smjeru. U okviru globalizacije prava Europa ima znak i tradiciju koju treba obraniti. Postoje dva načina za promicanje tog sustava. Prvi je pravna disciplina i suradnja ustanova, temelji se na obvezi koju imaju nacionalni (domaći) sudovi u poštivanju europskih obveza. Drugi način koji omogućava promicanje europskoga pravnog sust

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41

Ayalew, Sisay. "Article Review on The Impact of Blended Learning on Students’ Vocabulary Enhancement." JOURNAL OF SOCIAL SCIENCE RESEARCH 14 (September 21, 2019): 3331–36. http://dx.doi.org/10.24297/jssr.v14i0.8424.

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This critique examines three studies about the impact of blended learning on students’ vocabulary enhancement. The name of the author of the first article is Sezen Tosun. The article is entitled as “The effects of blended learning on EFL students’ vocabulary enhancement”. It was published by Elsevier Ltd-Procedia - Social and Behavioral Sciences 199 (2015) 641 – 647. The second article is “Enhancement of Students' Vocabulary Learning through a Blended Learning Approach”. The authors of this article are Dinara G. Vasbieva, Irina I. Klimova, Elena L. Agibalova, Natalya V. Karzhanova and Jana Bír

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42

Rubalajyothi, P., and L. C. Nehru. "Structural and Photoluminescence Properties of BaCaSO4:Dy3+ Phosphor by Combustion Techniques." Advanced Science Letters 24, no. 8 (2018): 5578–81. http://dx.doi.org/10.1166/asl.2018.12153.

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Nanocrystalline, BaCaSO4:Dy3+ having a particle size pure and doping material to the prepared combustion method using citric acid as a fuel. To confirm the XRD is an orthorhombic structure. To determine the structure using a JANA 2006 computing software to find out the goodness of fit values and observed and error peaks. To find out the visualization, electronic structure in three dimensional and electron density values using VESTA software. A surface morphology, chemical composition and phase transitions of the prepared powder samples using SEM, FT-IR and photoluminescence (PL) results are pr

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43

Kajla, Arun, Sheetal Deshwal, and P. N. Agrawal. "Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for Jain–Durrmeyer operators of blending type." Analysis and Mathematical Physics 9, no. 3 (2018): 1241–63. http://dx.doi.org/10.1007/s13324-018-0229-5.

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44

Rangaswamy, Kulumani M., and Ashish K. Srivastava. "Leavitt path algebras with bounded index of nilpotence." Journal of Algebra and Its Applications 18, no. 10 (2019): 1950185. http://dx.doi.org/10.1142/s0219498819501858.

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In this paper we completely describe graphically Leavitt path algebras with bounded index of nilpotence. We show that the Leavitt path algebra [Formula: see text] has index of nilpotence at most [Formula: see text] if and only if no cycle in the graph [Formula: see text] has an exit and there is a fixed positive integer [Formula: see text] such that the number of distinct paths that end at any given vertex [Formula: see text] (including [Formula: see text], but not including the entire cycle [Formula: see text] in case [Formula: see text] lies on [Formula: see text]) is less than or equal to [

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Diamantini, M. Cristina, and Carlo A. Trugenberger. "SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states." Journal of Physics A: Mathematical and Theoretical 44, no. 11 (2011): 115001. http://dx.doi.org/10.1088/1751-8113/44/11/115001.

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Sproat, Richard, and Roxana Gîrju. "Mathematical Linguistics András Kornai (MetaCarta Inc.) Springer (Advanced information and knowledge processing series, edited by Lakhmi Jain), 2008, xiii+289 pp; ISBN 978-1-84628-985-9, $99.00." Computational Linguistics 34, no. 4 (2008): 615–17. http://dx.doi.org/10.1162/coli.2008.34.4.615.

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Clausen, Johan. "Comment to “A method for smoothing multiple yield functions” by Wilkins, Spencer, Jain and Gencturk. Int J Numer Methods Eng. 2020; 121:434–449." International Journal for Numerical Methods in Engineering 121, no. 24 (2020): 5784–88. http://dx.doi.org/10.1002/nme.6507.

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Jiwari, Ram, and Ali Saleh Alshomrani. "A new algorithm based on modified trigonometric cubic B-splines functions for nonlinear Burgers’-type equations." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 8 (2017): 1638–61. http://dx.doi.org/10.1108/hff-05-2016-0191.

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Purpose The main aim of the paper is to develop a new B-splines collocation algorithm based on modified cubic trigonometric B-spline functions to find approximate solutions of nonlinear parabolic Burgers’-type equations with Dirichlet boundary conditions. Design/methodology/approach A modification is made in cubic trigonometric B-spline functions to handle the Dirichlet boundary conditions and an algorithm is developed with the help of modified cubic trigonometric B-spline functions. The proposed algorithm reduced the Burgers’ equations into a system of first-order nonlinear ordinary different

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Manaswini, R., and G. Raju. "Effect of Ionosphere on Global Navigation Satellite System and Analysis of the Effects with Real Time Indian Regional Navigation Satellite System Data Positioned at Jain University." Journal of Computational and Theoretical Nanoscience 17, no. 9 (2020): 4061–69. http://dx.doi.org/10.1166/jctn.2020.9020.

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Global navigation satellites systems provide real time positioning and timing services more efficiently and effectively. The ionosphere is one dynamic layer that affects the communication and remote sensing to maximum extent under different conditions. The ionospheric errors affects the integrity, continuity, accuracy and availability of satellites of GNSS systems. These effects are basically because of variation in space weather effects. The environmental conditions of the Earth’s ionosphere, magnetosphere, thermosphere which dynamically varies because of sun activities and consecutively affe

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Salkuyeh, Davod Khojasteh. "A short note on the paper “Convergence of the TAGE iterative method for the system arisen from the cubic spline approximation for the solution of two-point BVPs with forcing function in integral form”, by Mohanty, Jain and Dhall." Applied Mathematical Modelling 36, no. 1 (2012): 168–72. http://dx.doi.org/10.1016/j.apm.2011.05.029.

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