Academic literature on the topic 'Prob.-Math'

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Journal articles on the topic "Prob.-Math"

1

Faraz, Naeem, Yasir Khan, and Francis Austin. "An Alternative Approach to Differential-Difference Equations Using the Variational Iteration Method." Zeitschrift für Naturforschung A 65, no. 12 (2010): 1055–59. http://dx.doi.org/10.1515/zna-2010-1206.

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Although a variational iteration algorithm was proposed by Yildirim (Math. Prob. Eng. 2008 (2008), Article ID 869614) that successfully solves differential-difference equations, the method involves some repeated and unnecessary iterations in each step. An alternative iteration algorithm (variational iteration algorithm-II) is constructed in this paper that overcomes this shortcoming and promises to provide a universal mathematical tool for many differential-difference equations.
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Albrecher, Hansjörg, Jozef Teugels, and Klaus Scheicher. "A combinatorial identity for a problem in asymptotic statistics." Applicable Analysis and Discrete Mathematics 3, no. 1 (2009): 64–68. http://dx.doi.org/10.2298/aadm0901064a.

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Let (Xi)i?1 be a sequence of positive independent identically distributed random variables with regularly varying distribution tail of index 0 < ? < 1 and define Tn = X1?+X2?+???+Xn?/(X1+X2+???+ Xn)?.In this note we simplify an expression for lim n?? E(T kn ), which was obtained by Albrecher and Teugels: Asymptotic analysis of a measure of variation. Theory Prob. Math. Stat., 74 (2006), 1-9, in terms of coefficients of a continued fraction expansion. The new formula establishes an unexpected link to an enumeration problem for rooted maps on orientable surfaces that was studied in Arqu?s
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Melendez-Armenta, Roberto Angel, N. Sofia Huerta-Pacheco, Luis Alberto Morales-Rosales, and Genaro Rebolledo-Mendez. "How Do Students Behave When Using A Tutoring System? Employing Data Mining to Identify Behavioral Patterns Associated to The Learning of Mathematics." International Journal of Emerging Technologies in Learning (iJET) 15, no. 22 (2020): 39. http://dx.doi.org/10.3991/ijet.v15i22.17075.

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The inclusion of technology in the academic processes has led to constant innovation and investment of resources to offer a first-level educational service, with international standards, methodologies, study plans, and last generation laboratories. This paper focuses on how teachers can make use of an educational technology tool that will allow them to identify patterns that are associated with learning based on human-computer interaction. We present evidence of learning outcomes based on the detection of behaviors in Intelligent Tutoring Systems. These patterns pave the way for the auto-matic
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Merdan, Mehmet, Merve Merdan, and Rıdvan Şahin. "Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations." Cumhuriyet Science Journal 45, no. 3 (2024): 562–70. http://dx.doi.org/10.17776/csj.1256101.

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[1] M. Duz, Solution of complex differential equations with variable coefficients by using reduced differential transform, Miskolc Mathematical Notes Vol. 21 (2020), No. 1, pp. 161–170 [2] M. Duz, “Application of Elzaki Transform to first order constant coefficients complex equa ions.” Bulletin of the international mathematical virtual institute., vol. 7, pp. 387–393, 2017, doi: 10.7251/BIMVI1702387D. [3] M. Duz, “On an application of Laplace transforms.” ¨ NTMSCI., vol. 5, no. 2, pp. 193–198, 2017, doi: 10.12732/ijam.v31i1.2. [4] M. Duz, “Solution of complex equations with Adomian Decompositi
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Yoshioka, Hidekazu. "Fitting a superposition of Ornstein–Uhlenbeck process to time series of discharge in a perennial river environment." ANZIAM Journal 63 (June 28, 2022): C84—C96. http://dx.doi.org/10.21914/anziamj.v63.16985.

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Classical Ornstein–Uhlenbeck (ou) processes are Lévy-driven linear stochastic models with exponentially decaying autocorrelation functions which do not always fit more slowly decaying real time series data. A superposition of ou processes (known as a supou process) is proposed to overcome this issue for application to river discharge time series data. The discharge data has a sub-exponential autocorrelation function and this is captured by the supou process based on the mean reversion speed generated by a Gamma distribution. All the parameters of the supou process are identified by matching th
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Ganesh, Mahadevan, Stuart Collin Hawkins, Nino Kordzakhia, and Stefanie Unicomb. "An efficient Bayesian neural network surrogate algorithm for shape detection." ANZIAM Journal 62 (January 12, 2022): C112—C127. http://dx.doi.org/10.21914/anziamj.v62.16110.

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We present an efficient Bayesian algorithm for identifying the shape of an object from noisy far field data. The data is obtained by illuminating the object with one or more incident waves. Bayes' theorem provides a framework to find a posterior distribution of the parameters that determine the shape of the scatterer. We compute the distribution using the Markov Chain Monte Carlo (MCMC) method with a Gibbs sampler. The principal novelty of this work is to replace the forward far-field-ansatz wave model (in an unbounded region) in the MCMC sampling with a neural-network-based surrogate that is
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Moiseienko, Lidiia, and Liubov Shehda. "Psychology of the Interaction of Understanding and Forecasting Processes in Creative Mathematical Thinking." Collection of Research Papers "Problems of Modern Psychology" 59 (March 30, 2023): 118–34. http://dx.doi.org/10.32626/2227-6246.2023-59.118-134.

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Based on the results of the analysis of research on mathematical thinking, its creative nature has been ascertained. The results of research on creative mathematical thinking were analyzed and the expediency of studying the psychological essence of the interaction of thought processes of understanding and forecasting when solving creative mathematical problems was ascertained.The aim of the article is to find out the psychological essence of the inte­raction of thought processes of understanding and forecasting in creative ma­thematical thinking. To study the interaction of the processes of un
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8

Aggarwal, Riya, Bishnu Lamichhane, Mike Meylan, and Chirs Wensrich. "A comparison of triangular and quadrilateral finite element meshes for Bragg edge neutron transmission strain tomography." ANZIAM Journal 61 (August 30, 2020): C242—C254. http://dx.doi.org/10.21914/anziamj.v61i0.15171.

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A wavelength resolved measurement technique used in neutron imaging applications is known as energy-resolved neutron transmission imaging. This technique of reconstructing residual strain maps provides high spatial resolution measurements of strain distribution in polycrystalline materials from sets of Bragg edge measurement images. Strain field reconstructions obtained from both triangular and quadrilateral finite element meshes are compared. The reconstruction is approached via a least square method and relies on the inversion of the longitudinal ray transform, which has uniqueness issues. R
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BARAN, Zoya. "National question in Poland: according to the survey of the Warsaw periodical Kurjer Polski (1924)." Problems of slavonic studies 70 (2021): 43–64. http://dx.doi.org/10.30970/sls.2021.70.3736.

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Background. At the beginning of the 1920’s, after establishing the borders of the restored Polish State, its eastern territories were dominated by the Ukrainian, Belarusian and Lithuanian populations, and in the western part, a significant percentage were Germans. Accordingly, the state faced the problem of developing a constructive policy towards national minorities. Purpose. The article analyzes the attitude of the Polish intellectual elite to the prob-lem of national minorities, whose opinions were partially reflected in a poll conducted in July and August 1924 by the liberal Warsaw newspap
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Cipolloni, Giorgio, László Erdős, and Dominik Schröder. "Density of Small Singular Values of the Shifted Real Ginibre Ensemble." Annales Henri Poincaré, May 16, 2022. http://dx.doi.org/10.1007/s00023-022-01188-8.

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AbstractWe derive a precise asymptotic formula for the density of the small singular values of the real Ginibre matrix ensemble shifted by a complex parameter z as the dimension tends to infinity. For z away from the real axis the formula coincides with that for the complex Ginibre ensemble we derived earlier in Cipolloni et al. (Prob Math Phys 1:101–146, 2020). On the level of the one-point function of the low lying singular values we thus confirm the transition from real to complex Ginibre ensembles as the shift parameter z becomes genuinely complex; the analogous phenomenon has been well kn
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Books on the topic "Prob.-Math"

1

ZHOU. PROB and SOL MATH OLYMPIAD: PROB and SOL MATH OLYMPIAD. World Scientific Publishing Co Pte Ltd, 2024.

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SHE. PROB and SOL MATH OLYMPIAD: PROB and SOL MATH OLYMPIAD. World Scientific Publishing Co Pte Ltd, 2024.

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Bain and ENGLEHARD. Intro Prob & Math Stats. Brooks Cole, 1987.

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ZHOU. PROB and SOL MATH OLYMPIAD HB: PROB and SOL MATH OLYMPIAD. World Scientific Publishing Co Pte Ltd, 2024.

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SHE. PROB and SOL MATH OLYMPIAD HB: PROB and SOL MATH OLYMPIAD. World Scientific Publishing Co Pte Ltd, 2024.

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Pearson. Discrete Math& Prac Prob in Discrete Math. Pearson, 2009.

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NA. Prob Solvg Apprch Math& Dvt& Math Actvties Pk. Addison Wesley Publishing Company, 2005.

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SEA. Intro to Prob Theory & Math Stats. John Wiley & Sons Inc, 1994.

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NA. Prob Solv Apprch Math& Geometr4.02& Mymathlab. Addison Wesley Publishing Company, 2006.

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Miller. Math Teachers 3e Prob Solv Sg. John Wiley & Sons Inc, 2000.

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