Gotowe bibliografie tematyczne / Theory of distributions (Functional analysis)

Spis treści

  1. Artykuły w czasopismach
  2. Rozprawy doktorskie
  3. Książki
  4. Części książek
  5. Streszczenia konferencji
  6. Raporty organizacyjne

Gotowa bibliografia na temat „Theory of distributions (Functional analysis)”

Autor: Grafiati
Data publikacji: 4 czerwca 2021
Data aktualizacji: 30 lipca 2024

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Artykuły w czasopismach na temat "Theory of distributions (Functional analysis)"

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Jakubowski, Jacek, and Maciej Wiśniewolski. "Another Look at the Hartman-Watson Distributions." Potential Analysis 53, no. 4 (November 5, 2019): 1269–97. http://dx.doi.org/10.1007/s11118-019-09806-7.

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Abstract The article deals with the Hartman-Watson distributions and presents a new approach to them by investigating a special function u. The function u is strictly related to the distribution of the exponential functional of Brownian motion appearing in the mathematical finance framework. The study of the latter leads to new explicit representations for the function u. One of them is through a new parabolic PDE. Integral relations of convolution type between Hartman-Watson distributions and modified Bessel functions are presented. It turns out that u can be represented as an integral convol
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Bao, Nguyen Dien Quoc, Le Hoang Chien, Chau Van Tao, and Trinh Hoa Lang. "Analysis of 12C+12C scattering using different nuclear density distributions." Science and Technology Development Journal 21, no. 3 (October 16, 2018): 78–83. http://dx.doi.org/10.32508/stdj.v21i3.431.

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Elastic 12C+12C angular distributions at three bombarding energies of 102.1, 112.0 and 126.1 MeV were analyzed in the framework of optical model (OM) and compared to the experimental data. The reality of the OM analysis using the double folding potential depends on the chosen nuclear density distributions. In this work, we use two available models of nuclear density distributions obtained from the electron scattering experiments and the density functional theory (DFT). The OM results show that the former gives better description of the 12C nuclear density distribution than the latter. Therefor
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Dehay, Dominique, and Jacek Leśkow. "Functional limit theory for the spectral covariance estimator." Journal of Applied Probability 33, no. 4 (December 1996): 1077–92. http://dx.doi.org/10.2307/3214987.

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Processes that exhibit repeatability in their kth-order moments are frequently studied in signal analysis. Such repeatability can be conveniently expressed with the help of almost periodicity. In particular, almost periodically correlated (APC) processes play an important role in the analysis of repeatable signals. This paper presents a study of asymptotic distributions of the estimator of the spectral covariance function for APC processes. It is demonstrated that, for a large class of APC processes, the functional central limit theorem holds.
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Dehay, Dominique, and Jacek Leśkow. "Functional limit theory for the spectral covariance estimator." Journal of Applied Probability 33, no. 04 (December 1996): 1077–92. http://dx.doi.org/10.1017/s002190020010049x.

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Processes that exhibit repeatability in their kth-order moments are frequently studied in signal analysis. Such repeatability can be conveniently expressed with the help of almost periodicity. In particular, almost periodically correlated (APC) processes play an important role in the analysis of repeatable signals. This paper presents a study of asymptotic distributions of the estimator of the spectral covariance function for APC processes. It is demonstrated that, for a large class of APC processes, the functional central limit theorem holds.
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Zeng, Ming, Yiping Tang, Jianguo Mi, and Chongli Zhong. "Improved Direct Correlation Function for Density Functional Theory Analysis of Pore Size Distributions." Journal of Physical Chemistry C 113, no. 40 (September 11, 2009): 17428–36. http://dx.doi.org/10.1021/jp902803t.

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Fux, Samuel, Karin Kiewisch, Christoph R. Jacob, Johannes Neugebauer, and Markus Reiher. "Analysis of electron density distributions from subsystem density functional theory applied to coordination bonds." Chemical Physics Letters 461, no. 4-6 (August 2008): 353–59. http://dx.doi.org/10.1016/j.cplett.2008.07.038.

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Chesneau, Christophe. "On a Logarithmic Weighted Power Distribution: Theory, Modelling and Applications." Journal of Mathematical Sciences: Advances and Applications 67, no. 1 (October 10, 2021): 1–59. http://dx.doi.org/10.18642/jmsaa_7100122214.

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Engineers, economists, hydrologists, social scientists, and behavioural scientists often deal with data belonging to the unit interval. One of the most common approaches for modeling purposes is the use of unit distributions, beginning with the classical power distribution. A simple way to improve its applicability is proposed by the transmuted scheme. We propose an alternative in this article by slightly modifying this scheme with a logarithmic weighted function, thus creating the log-weighted power distribution. It can also be thought of as a variant of the log-Lindley distribution, and some
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Koshmanenko, Volodymyr. "The theory of dynamical systems of conflict in the framework of functional analysis." Збірник Праць Інституту математики НАН України 20, no. 1 (August 17, 2023): 843–72. http://dx.doi.org/10.3842/trim.v20n1.530.

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In this article, we give an introduction to the mathematical setting of problems related to the phenomenon of conflict in terms of constructions in Hilbert spaces. The struggle (conflict, game) between opponents (adversaries, players) will be represented by operator transformations of vectors in Hilbert spaces and probabilistic distributions on the territory of life resources. The phenomenon of conflict as a contradiction between opponents appears in mathematical terms as an intersection the domains of definition for operators and overlapping of corresponding measures. Conflict interaction bet
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Blackmore, Denis, and Jack G. Zhou. "Fractal Analysis of Height Distributions of Anisotropic Rough Surfaces." Fractals 06, no. 01 (March 1998): 43–58. http://dx.doi.org/10.1142/s0218348x98000067.

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A general distribution function for the heights of anisotropic engineering surfaces is obtained by extending earlier work on surface profiles. The derivation starts from a functional description of surface heights that involves fractal quantities and is comprehensive enough to include almost all of the mathematical models for surface topography that have appeared in the literature. It is found that the distribution is in the form of a Gaussian function multiplied by a convergent power series, and the terms in the series depend in a fundamental way on the fractal parameters of the surface. This
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Thangarasu, S., V. Siva, A. Shameem, A. Murugan, S. Athimoolam, and S. Asath Bahadur. "Structural, Electronic, Molecular Orbital Analysis and Charge Distributions on Nitrate Salt of Guanidine through DFT and TD-DFT Methods." Asian Journal of Chemistry 33, no. 8 (2021): 1905–10. http://dx.doi.org/10.14233/ajchem.2021.23201.

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Guanidinium nitrate, a non-linear optical material has been systematically studied through quantum chemical (density functional theory and Hartree Fock) methods. Studies on Mulliken charge, Frontier molecular orbitals (FMOs) and hyperpolarizability analyses have been performed. The Mulliken population analyses were carried out for the optimized molecular geometry by HF and B3LYP methods with 6-311++G(d,p) levels. The molecular orbital parameters of guanidinium nitrate have been calculated by FMO analysis. Frontier molecular orbital (FMO) analysis indicates the electron delocalization on the gu
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Rozprawy doktorskie na temat "Theory of distributions (Functional analysis)"

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Waller, Bradley A. "Properties of p-adic C^k Distributions." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1385485834.

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Kou, Kit Ian. "Paley-Wiener theorem and Shannon sampling with the Clifford analysis setting." Thesis, University of Macau, 2005. http://umaclib3.umac.mo/record=b2492153.

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Butler, Pieter-Willem. "The transfer of distributions by LULU smoothers." Thesis, Link to the online version, 2008. http://hdl.handle.net/10019/2030.

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Begum, Munni. "Estimating posterior expectation of distributions belonging to exponential and non exponential families." Virtual Press, 2001. http://liblink.bsu.edu/uhtbin/catkey/1244863.

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Bayesian principle is conceptually simple and intuitively plausible to carry out but its numerical implementation is not always straightforward. Most of the times we have posterior distributions in terms of complicated analytical funs ions and be known only up to a multiplicative constant. Hence it becomes computationally difficult to attain the marginal densities and the moments of the posterior distributions in closed form. In the present study the leading methods, both analytical and numerical, for implementing Bayesian inference has been explored. In particular, the non-iterative Monte Car
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Kim, Jongchul. "Generalized Function Solutions to Nonlinear Wave Equations with Distribution Initial Data." Thesis, University of North Texas, 1996. https://digital.library.unt.edu/ark:/67531/metadc278853/.

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In this study, we consider the generalized function solutions to nonlinear wave equation with distribution initial data. J. F. Colombeau shows that the initial value problem u_tt - Δu = F(u); m(x,0) = U_0; u_t (x,0) = i_1 where the initial data u_0 and u_1 are generalized functions, has a unique generalized function solution u. Here we take a specific F and specific distributions u_0, u_1 then inspect the generalized function representatives for the initial value problem solution to see if the generalized function solution is a distribution or is more singular. Using the numerical technics, we
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Hasan, Abeer. "A Study of non-central Skew t Distributions and their Applications in Data Analysis and Change Point Detection." Bowling Green State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1371055538.

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Engelke, Sebastian. "Brown-Resnick Processes: Analysis, Inference and Generalizations." Doctoral thesis, Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-F1B3-2.

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Kong, Fanhui. "Asymptotic distributions of Buckley-James estimator." Online access via UMI:, 2005.

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Lai, Pik-ying, and 黎碧瑩. "Lp regression under general error distributions." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B30287844.

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Chan, Chun-man, and 陳俊文. "On a topic of Bayesian analysis using scale mixtures distributions." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31223989.

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Książki na temat "Theory of distributions (Functional analysis)"

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Carmichael, Richard D. Distributions and analytic functions. Harlow: Longman Scientific & Technical, 1989.

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Carmichael, Richard D. Distributions and analytic functions. Harlow, Essex, England: Longman Scientific & Technical, 1989.

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Carmichael, Richard D. Distributions and analytic functions. Harlow, Essex, England: Longman Scientific & Technical, 1989.

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Kanwal, Ram P. Generalized functions: Theory and applications. 3rd ed. Boston: Birkhäuser, 2004.

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Friedlander, F. G. Introduction to the theory of distributions. 2nd ed. Cambridge, UK: Cambridge University Press, 1998.

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Grudzinski, Olaf von. Quasihomogeneous distributions. Amsterdam: North-Holland, 1991.

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Marchand, J. P. Distributions: An outline. Mineola, N.Y: Dover Publications, 2007.

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Hoskins, R. F. Delta functions: An introduction to generalised functions. 2nd ed. Chichester, UK: Horwood Pub., 2009.

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Colombeau, Jean François. Multiplication of distributions: A tool in mathematics, numerical engineering, and theoretical physics. Berlin: Springer-Verlag, 1992.

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S, Pathak R., and International Symposium on Generalized Functions and Their Applications (1991 : Vārānasi, Uttar Pradesh, India), eds. Generalized functions and their applications. New York: Plenum Press, 1993.

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Części książek na temat "Theory of distributions (Functional analysis)"

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Khanfer, Ammar. "Distribution Theory." In Applied Functional Analysis, 81–131. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-3788-2_2.

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Vogt, Dietmar. "Sequence Space Representations of Spaces of Test Functions and Distributions." In Functional Analysis, Holomorphy, and Approximation Theory, 405–43. Boca Raton: CRC Press, 2020. http://dx.doi.org/10.1201/9781003072577-18.

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Kozma, Gady, and Alexander Olevskii. "Singular Distributions and Symmetry of the Spectrum." In Operator-Related Function Theory and Time-Frequency Analysis, 107–16. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08557-9_4.

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Lang, Serge. "Distributions." In Real and Functional Analysis, 295–307. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-0897-6_11.

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Reddy, B. Daya. "Distributions and Sobolev spaces." In Introductory Functional Analysis, 213–51. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0575-3_8.

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Yosida, Kôsaku. "Ergodic Theory and Diffusion Theory." In Functional Analysis, 379–418. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-61859-8_14.

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Muscat, Joseph. "Spectral Theory." In Functional Analysis, 307–43. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06728-5_14.

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Berezansky, Yuri M., Zinovij G. Sheftel, and Georgij F. Us. "Measure Theory." In Functional Analysis, 1–65. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9185-1_1.

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Muscat, Joseph. "Spectral Theory." In Functional Analysis, 345–82. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-27537-1_14.

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Botelho, Fabio. "Distributions." In Functional Analysis and Applied Optimization in Banach Spaces, 167–74. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06074-3_7.

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Streszczenia konferencji na temat "Theory of distributions (Functional analysis)"

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Alavinasab, Ali, Goodarz Ahmadi, and Ratneshwar Jha. "Nonlocal Continuum Theory Based Modeling of Carbon Nanotube Composites." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-595.

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Analytical modeling of Carbon Nanotube (CNT) composite based on the nonlocal continuum theory is investigated. This approach accounts for nonlocal stress-strain relationships, that is, stress at any point in a structure is a function of strain in the entire structure. Finite element analysis of a representative volume element (RVE) of CNT composite is used to evaluate unknown constant in the nonlocal theory based solution. Stress distributions are obtained from finite element method (FEM), nonlocal theory, and standard (local) elasticity. Nonlocal theory and FEM stress distributions yield the
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Navazi, H. M., and H. Haddadpour. "Supersonic Flutter of Functionally Graded Plates in a Thermal Environment." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95253.

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In this paper, an analytical investigation intended to determine the flutter margin of supersonic functionally graded panels is carried out. For this purpose, piston theory aerodynamics has been employed to model quasi-steady aerodynamic loading. The material properties of the plate are assumed to be graded continuously across the panel thickness. The variation of temperature-dependent thermoelastic properties follows a simple power-law distribution in terms of the volume fraction of the constituent materials. The effects of compressive in-plane loads and static pressure differential are studi
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Tzou, H. S., D. W. Wang, and I. Hagiwara. "Distributed Dynamic Signal Analysis of Piezoelectric Laminated Linear and Nonlinear Toroidal Shells." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/ad-23715.

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Abstract Toroidal shells belong to the shells of revolution family. Dynamic sensing signals and their distributed characteristics of spatially distributed sensors or neurons laminated on thin toroidal shell structures are investigated in this study. Spatially distributed modal voltages and signal patterns are related to the meridional and circumferential membrane/bending strains, based on the direct piezoelectricity, the Gauss theorem, the Maxwell principle and the open-circuit assumption. Linear and nonlinear toroidal shells are defined based on the thin shell theory and the von Karman geomet
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Darabi, Mehdi, and Rajamohan Ganesan. "Exact 3-D Stress and Stiffness Analysis of Functionally Graded Sandwich Plates Using Sampling Surfaces Method." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38400.

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In the present work, the three-dimensional analysis for the deflection and stress distributions of functionally graded ceramic–metal sandwich plates is developed based on the method of sampling surfaces (SaS). In accordance with this method, into each layer of the plate, reference surfaces that are not equally spaced and are parallel to the mid-surface of the plate are introduced, and the displacement vectors of these surfaces are chosen as unknown functions. Such a choice allows the representation of the governing equations of the proposed higher order layer-wise plate theory in a very compac
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Bellur-Ramaswamy, Ravi S., Nahil A. Sobh, Robert B. Haber, and Daniel A. Tortorelli. "Quench Process Modeling and Optimization." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1850.

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Abstract We optimize continuous quench process parameters to produce a desired precipitate distribution in aluminum alloy extrudates. To perform this task, an optimization problem is defined and solved using a standard nonlinear programming algorithm. Ingredients of this algorithm include a cost function, constraint functions and their sensitivities with respect to the process parameters. These functions are dependent on the temperature and precipitate size which are obtained by balancing energy to determine the temperature distribution and by using a reaction-rate theory to determine a discre
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Dayhoum, Abdallah, Alejandro Ramirez-Serrano, and Robert Martinuzzi. "Aerodynamic Optimization and Experimental Analysis of Shrouded Rotor Blades." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1289.

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Unmanned Aerial Vehicles (UAVs), particularly Vertical Take-Off and Landing (VTOL) aircraft such as quad-rotors and helicopters, have gained attention for diverse applications in military and civilian domains. However, to increase applications, reducing their power consumption and their restricted payload capacity. This paper describes a method to enhance the thrust capabilities of typical shrouded rotors through a novel rotor design. Beginning with an airfoil with a high lift-to-drag ratio. Blade element momentum theory (BEMT) is used to optimize the rotor's chord and twist distributions syst
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Hu, Dianyin, and Rongqiao Wang. "Probabilistic Analysis on Turbine Disk Under LCF-Creep." In ASME Turbo Expo 2008: Power for Land, Sea, and Air. ASMEDC, 2008. http://dx.doi.org/10.1115/gt2008-50722.

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This paper establishes a structural model of the turbine disk of a certain aero-engine subjected to loads due to centrifugal force and duration at elevated temperature, and calculates the plastic and creep deformation with finite element (FE) analysis software. During creep analysis, the Norton constitutive equation was taken into account. After the temperature field distribution of the turbine disk had been obtained, structural static analysis results showed that the maximum equivalent stress and strain appeared at the area near to the disk center, which was taken as the critical point. The M
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Katsuo, Masahide, Toshiyuki Sawa, Koji Kawaguchi, and Hiroshi Kawamura. "Axisymmetrical Thermal Stress Analysis of Laminated Composite Finite Hollow Cylinders Restricted at Both Ends in Steady State." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0860.

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Abstract The thermal stress distributions of laminated composite finite hollow cylinders restricted at both ends and at one end of the cylinders are analyzed using the thermoelastic displacement potential and Michell’s stress functions based on the axisymmetrical theory of elasticity. In the numerical calculations, the thermal stress distributions in the laminated composite finite hollow cylinders are examined. The effects of restrictions at the end of the cylinders on the thermal stress distributions are clarified. The analytical results are compared with the results obtained from the plain s
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Rahaeifard, M., M. H. Kahrobaiyan, S. A. Moeini, M. T. Ahmadian, and M. Hoviattalab. "Flexural Sensitivity of a V-Shaped AFM Cantilever Made of Functionally Graded Materials." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24676.

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In this paper, two lowest resonant frequencies and sensitivities of an AFM V-Shaped microcantilever made of functionally graded materials are studied. The beam is modeled by Euler-Bernoulli beam theory in which rotary inertia and shear deformation is neglected. It is assumed that the beam is made of a mixture of metal and ceramic with properties varying through the thickness of the beam. This variation is function of volume fraction of beam material constituents. The interaction between AFM tip and surface is modeled by two linear springs which expresses the normal and lateral contact stiffnes
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Song, Shaopin, and Pingsha Dong. "Analysis of Residual Stresses in Pipe Seam Welds and a Proposed Residual Stress Profile Estimation Method." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-45726.

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A recent comprehensive investigation into residual stress distributions in pipe and vessel longitudinal seam welds is presented in this paper, covering component wall thickness from 1/4” (6.35mm) to 10” (254mm), component radius to wall thickness ratio from 2 to 10, and linear welding heating input from low (50 J/mm) to high (6000 J/mm). Through the use of a residual stress decomposition technique, two key parameters that govern through-thickness residual stress distributions in terms of their membrane and bending content have been identified. One is component radius to wall thickness ratio (r
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Raporty organizacyjne na temat "Theory of distributions (Functional analysis)"

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Luttman, Aaron, Marylesa Howard, and Kasey Bray. Mie Scattering Analysis: Using Mie Theory to Compute Size Distribution Functions. Office of Scientific and Technical Information (OSTI), October 2017. http://dx.doi.org/10.2172/1755913.

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Luttman, Aaron, Marylesa Howard, and Kasey Bray. Mie Scattering Analysis: Using Mie Theory to Compute Size Distribution Functions. Office of Scientific and Technical Information (OSTI), October 2017. http://dx.doi.org/10.2172/1755913.

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Chernis, Tony, Niko Hauzenberger, Florian Huber, Gary Koop, and James Mitchell. Predictive Density Combination Using a Tree-Based Synthesis Function. Federal Reserve Bank of Cleveland, November 2023. http://dx.doi.org/10.26509/frbc-wp-202330.

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Bayesian predictive synthesis (BPS) provides a method for combining multiple predictive distributions based on agent/expert opinion analysis theory and encompasses a range of existing density forecast pooling methods. The key ingredient in BPS is a “synthesis” function. This is typically specified parametrically as a dynamic linear regression. In this paper, we develop a nonparametric treatment of the synthesis function using regression trees. We show the advantages of our tree-based approach in two macroeconomic forecasting applications. The first uses density forecasts for GDP growth from th
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Seccareccia, Mario, and Guillermo Matamoros. Is “Inflation First” Really “Rentiers First”? The Taylor Rule and Rentier Income in Industrialized Countries. Institute for New Economic Thinking Working Paper Series, July 2023. http://dx.doi.org/10.36687/inetwp209.

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The Taylor rule has returned as a significant policy guide amid increasingly overt political pressures for its official (and not just its implicit) adoption at the US Fed as inflation fears have come to dominate monetary policy actions both in the US and internationally in recent times. Our paper analyzes the effect of monetary policy on the functional distribution of income by reconstructing how the post-1970s “inflation first” policy commitments of central banks came to be crystallized in the Taylor rule. While there are differences among the various specifications of this “rule”, the Taylor
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McClure, Michael A., Yitzhak Spiegel, David M. Bird, R. Salomon, and R. H. C. Curtis. Functional Analysis of Root-Knot Nematode Surface Coat Proteins to Develop Rational Targets for Plantibodies. United States Department of Agriculture, October 2001. http://dx.doi.org/10.32747/2001.7575284.bard.

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The goal of this research was to provide a better understanding of the interface between root-knot nematodes, Meloidogyne spp., and their host in order to develop rational targets for plantibodies and other novel methods of nematode control directed against the nematode surface coat (SC). Specific objectives were: 1. To produce additional monoclonal SC antibodies for use in Objectives 2, 3, and 4 and as candidates for development of plantibodies. 2. To determine the production and distribution of SC proteins during the infection process. 3. To use biochemical and immunological methods to pertu
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Rheinberger, Christoph, and Nicolas Treich. Catastrophe aversion: social attitudes towards common fates. Fondation pour une culture de sécurité industrielle, June 2016. http://dx.doi.org/10.57071/882rpq.

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In light of climate change and other existential threats, policy commentators sometimes suggest that society should be more concerned about catastrophes. This document reflects on what is, or should be, society’s attitude toward such low-probability, high-impact events. The question underlying this analysis is how society considers (1) a major accident that leads to a large number of deaths; (2) a large number of small accidents that each kill one person, where the two situations lead to the same total number of deaths. We first explain how catastrophic risk can be conceived of as a spread in
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Liu, Yuzhou, Yang Zhang, Zhijia Zhang, Qiang Fu, Yin Fu, Zhixiang Li, Chenyu Zhang, and Xiaoyu Wang. Efficacy of Li-Zhong Decoction in the treatment of patients with functional dyspepsia: A protocol for systematic review and meta-analysis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, April 2022. http://dx.doi.org/10.37766/inplasy2022.4.0029.

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Review question / Objective: To evaluate the safety and efficacy of LZD in the treatment of FD. In this study, all theory is adopted the soup randomized controlled trials for the treatment of functional dyspepsia. Condition being studied: Although the disease is not life-threatening, it can take a psychological and financial toll on sufferers. At present, the efficacy of conventional treatment is not significant. Previous studies have shown that Lizhong decoction is safe and effective, but there is a lack of systematic evaluation. The purpose of this study was to systematically study the effic
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Heymsfield, Ernie, and Jeb Tingle. State of the practice in pavement structural design/analysis codes relevant to airfield pavement design. Engineer Research and Development Center (U.S.), May 2021. http://dx.doi.org/10.21079/11681/40542.

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An airfield pavement structure is designed to support aircraft live loads for a specified pavement design life. Computer codes are available to assist the engineer in designing an airfield pavement structure. Pavement structural design is generally a function of five criteria: the pavement structural configuration, materials, the applied loading, ambient conditions, and how pavement failure is defined. The two typical types of pavement structures, rigid and flexible, provide load support in fundamentally different ways and develop different stress distributions at the pavement – base interface
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Parkins and Leis. L51654 Spatial Densities of Stress-Corrosion Cracks in Line-Pipe Steels. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), April 1992. http://dx.doi.org/10.55274/r0010367.

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There was a need to define the spatial density of stress-corrosion crack arrays that develop in operating gas-transmission pipelines and in laboratory test specimens of line-pipe steel, to improve understanding of the factors that control the density and provide data to test models of pipeline cracking. Within the broad definition of crack density are included the locations, numbers, lengths, depths, and degree of linkage of cracks. An analysis has been conducted of location, numbers, lengths, depths, and degree of linkage of stress-corrosion crack colonies in samples from the field and from l
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Ori, Naomi, and Mark Estelle. Role of GOBLET and Auxin in Controlling Organ Development and Patterning. United States Department of Agriculture, January 2012. http://dx.doi.org/10.32747/2012.7697122.bard.

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The size and shape of plant leaves are extremely diverse within and among species, and are also sensitive to growth conditions. Compound leaves, such as those of tomato, maintain morphogenetic activity during early stages of their development, enabling them to elaborate lateral appendages such as leaflets. The aim of the research project was to understand the interaction between the plant hormone auxin, the putative auxin response inhibitor ENTIRE (E, SlIAA9) and the NAM/CUC transcription factor GOBLET (GOB) in compound-leaf development in tomato (Solanum lycopersicum). The specific aims of th
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