Relevant bibliographies by topics / Multiple integrals

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Multiple integrals'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Multiple integrals"

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Ojo-, Orobosa V.O. "Projecting Multiple Stochastic Integral unto the Wiener Functional Space Using Iterated Integrals." Continental J. Applied Sciences 13, no. 2 (2018): 44–57. https://doi.org/10.5281/zenodo.3016870.

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<em>Any square- integrable functional of the Wiener process has a canonical representation in terms of the integrals. The key of these representation is to define multiple stochastic integral of the form </em><em>&nbsp;where &phi; is (in general) a random integrand</em><em>-adapted in a suitable sense. In this paper, we construct projections with respect to stochastic integral unto the Wiener functional space and establish formulae for the transformation of multiple stochastic integrals under two operations; (a) projection formula for the projection of a multiple stochastic integrals onto </em
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Bandyrskii, B., L. Hoshko, I. Lazurchak, and M. Melnyk. "Optimal algorithms for computing multiple integrals." Mathematical Modeling and Computing 4, no. 1 (2017): 1–9. http://dx.doi.org/10.23939/mmc2017.01.001.

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Greaves, G. R. H., R. R. Hall, M. N. Huxley, and J. C. Wilson. "Multiple Franel integrals." Mathematika 40, no. 1 (1993): 51–70. http://dx.doi.org/10.1112/s0025579300013711.

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Dynkin, E. B. "Multiple path integrals." Advances in Applied Mathematics 7, no. 2 (1986): 205–19. http://dx.doi.org/10.1016/0196-8858(86)90032-1.

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Dasgupta, A., and G. Kallianpur. "Multiple fractional integrals." Probability Theory and Related Fields 115, no. 4 (1999): 505–25. http://dx.doi.org/10.1007/s004400050247.

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Papp, F. J. "Expressing certain multiple integrals as single integrals." International Journal of Mathematical Education in Science and Technology 21, no. 1 (1990): 137–39. http://dx.doi.org/10.1080/0020739900210120.

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Benabidallah, A., Y. Cherruault, and Y. Tourbier. "Approximation of multiple integrals by simple integrals." Kybernetes 30, no. 9/10 (2001): 1223–39. http://dx.doi.org/10.1108/03684920110405836.

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Malyutin, V. B., and B. O. Nurjanov. "The semiclassical approximation of multiple functional integrals." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 59, no. 4 (2024): 302–7. http://dx.doi.org/10.29235/1561-2430-2023-59-4-302-307.

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In this paper, we study the semiclassical approximation of multiple functional integrals. The integrals are defined through the Lagrangian and the action. Of all possible trajectories, the greatest contribution to the integral is given by the classical trajectory x̅cl for which the action S takes an extremal value. The classical trajectory is found as a solution of the multidimensional Euler – Lagrange equation. To calculate the functional integrals, the expansion of the action with respect to the classical trajectory is used, which can be interpreted as an expansion in powers of Planck’s cons
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Greaves, G. R. H., R. R. Hall, M. N. Huxley, and J. C. Wilson. "Multiple Franel integrals: Corrigendum." Mathematika 41, no. 2 (1994): 401. http://dx.doi.org/10.1112/s0025579300007476.

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Grosjean, C. C. "Two Trigonometric Multiple Integrals." SIAM Review 33, no. 1 (1991): 114. http://dx.doi.org/10.1137/1033008.

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Dissertations / Theses on the topic "Multiple integrals"

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Rindone, Fabio. "New non-additive integrals in Multiple Criteria Decision Analysis." Doctoral thesis, Università di Catania, 2013. http://hdl.handle.net/10761/1315.

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The proposal and the axiomatization of new fuzzy integrals has a central role in modern Multiple Criteria Decision Analysis. In this thesis we propose some generalizations of well known fuzzy integrals (Choquet, Shilkret and Sugeno). We propose and characterize bipolar fuzzy integrals, which are generalization of the most famous fuzzy integrals to the case of bipolar scale, i.e. those symmetric scale where it is possible for each value to find the opposite. We also deal with the generalization of the concept of universal integral (recently proposed to generalize several fuzzy integrals) to
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Zhang, Chengdian. "Calculus of variations with multiple integration." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/20436929.html.

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Hu, Dehui. "Understanding introductory students’ application of integrals in physics from multiple perspectives." Diss., Kansas State University, 2013. http://hdl.handle.net/2097/16190.

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Doctor of Philosophy<br>Department of Physics<br>N. Sanjay Rebello<br>Calculus is used across many physics topics from introductory to upper-division level college courses. The concepts of differentiation and integration are important tools for solving real world problems. Using calculus or any mathematical tool in physics is much more complex than the straightforward application of the equations and algorithms that students often encounter in math classes. Research in physics education has reported students’ lack of ability to transfer their calculus knowledge to physics problem solving.
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Richter, Gregor. "Iterated Integrals and genus-one open-string amplitudes." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19309.

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In den vergangenen Jahrzehnten rückte das häufige Auftreten von multiplen Polylogarithmen und multiplen Zeta-Werten, in Feynman-Diagramm Rechnungen niedriger Ordnung, verstärkt in den wissenschaftlichen Fokus. Hierbei offenbarte sich eine Verbindung zu den mathematischen Theorien der Perioden und der iterierten Integrale von Chen. Eine ähnliche Allgegenwärtigkeit von multiplen Zeta-Werten wurde jüngst auch in der α'-Entwicklung von Genus-Null Stringtheorie Amplituden beobachtet. Davon inspiriert befasst sich diese Arbeit mit der Systematik der iterierten Integralen in den Streuamplituden der o
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Yam, Sheung Chi Phillip. "Analytical and topological aspects of signatures." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:87892930-f329-4431-bcdc-bf32b0b1a7c6.

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In both physical and social sciences, we usually use controlled differential equation to model various continuous evolving system; describing how a response y relates to another process x called control. For regular controls x, the unique existence of the response y is guaranteed while it would never be the case for non-smooth controls via the classical approach. Besides, uniform closeness of controls may not imply closeness of their corresponding responses. Theory of rough paths provides a solution to both concerns. Since the creation of rough path theory, it enjoys a fruitful development and
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Shahrokhi-Dehkordi, Mohammad Sadegh. "Topological methods for strong local minimizers and extremals of multiple integrals in the calculus of variations." Thesis, University of Sussex, 2011. http://sro.sussex.ac.uk/id/eprint/6913/.

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Let Ω ⊂ Rn be a bounded Lipschitz domain and consider the energy functional F[u, Ω] := ∫ Ω F(∇u(x)) dx, over the space Ap(Ω) := {u ∈ W 1,p(Ω, Rn): u|∂Ω = x, det ∇u> 0 a.e. in Ω}, where the integrand F : Mn×n → R is quasiconvex, sufficiently regular and satisfies a p-coercivity and p-growth for some exponent p ∈ [1, ∞[. A motivation for the study of above energy functional comes from nonlinear elasticity where F represents the elastic energy of a homogeneous hyperelastic material and Ap(Ω) represents the space of orientation preserving deformations of Ω fixing the boundary pointwise. The aim of
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Sinescu, Vasile. "Construction of lattice rules for multiple integration based on a weighted discrepancy." The University of Waikato, 2008. http://hdl.handle.net/10289/2542.

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High-dimensional integrals arise in a variety of areas, including quantum physics, the physics and chemistry of molecules, statistical mechanics and more recently, in financial applications. In order to approximate multidimensional integrals, one may use Monte Carlo methods in which the quadrature points are generated randomly or quasi-Monte Carlo methods, in which points are generated deterministically. One particular class of quasi-Monte Carlo methods for multivariate integration is represented by lattice rules. Lattice rules constructed throughout this thesis allow good approximations to in
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Hanna, George T. "Cubature rules from a generalized Taylor perspective." Thesis, full-text, 2009. https://vuir.vu.edu.au/1922/.

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The accuracy and efficiency of computing multiple integrals is a very important problem that arises in many scientific, financial and engineering applications. The research conducted in this thesis is designed to build on past work and develop and analyze new numerical methods to evaluate double integrals efficiently. The fundamental aim is to develop and assess techniques for (numerically) evaluating double integrals with high accuracy. The general approach presented in this thesis involves the development of new multivariate approximations from a generalaised Taylor perspective in terms o
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Hanna, George T. "Cubature rules from a generalized Taylor perspective." full-text, 2009. http://eprints.vu.edu.au/1922/1/hanna.pdf.

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The accuracy and efficiency of computing multiple integrals is a very important problem that arises in many scientific, financial and engineering applications. The research conducted in this thesis is designed to build on past work and develop and analyze new numerical methods to evaluate double integrals efficiently. The fundamental aim is to develop and assess techniques for (numerically) evaluating double integrals with high accuracy. The general approach presented in this thesis involves the development of new multivariate approximations from a generalaised Taylor perspective in terms of A
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Coine, Clément. "Continuous linear and bilinear Schur multipliers and applications to perturbation theory." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD074/document.

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Dans le premier chapitre, nous commençons par définir certains produits tensoriels et identifions leur dual. Nous donnons ensuite quelques propriétés des classes de Schatten. La fin du chapitre est dédiée à l’étude des espaces de Bochner à valeurs dans l'espace des opérateurs factorisables par un espace de Hilbert. Le deuxième chapitre est consacré aux multiplicateurs de Schur linéaires. Nous caractérisons les multiplicateurs bornés sur B(Lp, Lq) lorsque p est inférieur à q puis appliquons ce résultat pour obtenir de nouvelles relations d'inclusion entre espaces de multiplicateurs. Dans le tro
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Books on the topic "Multiple integrals"

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Major, Péter. Multiple Wiener-Itô Integrals. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02642-8.

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Braides, Andrea. Homogenization of multiple integrals. Clarendon Press, 1998.

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Spandagos, Vaggelēs. Oloklērōtikos logismos: Theōria-methodologia, 1600 lymenes askēseis. Aithra, 1988.

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Smirnov, V. A. Analytic tools for Feynman integrals. Springer, 2012.

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Sloan, I. H. Lattice methods for multiple integration. Clarendon Press, 1994.

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service), SpringerLink (Online, ed. Multiple Integrals in the Calculus of Variations. Springer-Verlag Berlin Heidelberg, 2008.

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Kwapień, Stanisław, and Wojbor A. Woyczyński. Random Series and Stochastic Integrals: Single and Multiple. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-0425-1.

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1943-, Woyczyński W. A., ed. Random series and stochastic integrals: Single and multiple. Birkhäuser, 1992.

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Korobov, N. M. Teoretikochislovye metody v priblizhennom analize. 2nd ed. MT︠S︡NMO, 2004.

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Kuznet︠s︡ov, D. F. Strong approximation of multiple Ito and Stratonovich stochastic integrals: Multple Fourier series approach. Politechnical University Publishing House, 2011.

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Book chapters on the topic "Multiple integrals"

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Coombes, Kevin R., Ronald L. Lipsman, and Jonathan M. Rosenberg. "Multiple Integrals." In Multivariable Calculus and Mattiematica®. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1698-8_8.

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Shakarchi, Rami. "Multiple Integrals." In Problems and Solutions for Undergraduate Analysis. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1738-1_21.

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Lang, Serge. "Multiple Integrals." In Undergraduate Analysis. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4757-2698-5_21.

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Courant, Richard, and Fritz John. "Multiple Integrals." In Introduction to Calculus and Analysis Volume II/1. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-57149-7_4.

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Marshall, Gordon S. "Multiple Integrals." In Springer Undergraduate Mathematics Series. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-3412-1_8.

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Eriksson, Kenneth, Claes Johnson, and Donald Estep. "Multiple Integrals." In Applied Mathematics: Body and Soul. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05800-8_13.

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Courant, Richard, and Fritz John. "Multiple Integrals." In Introduction to Calculus and Analysis. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4613-8958-3_4.

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Stroud, K. A. "Multiple Integrals." In Further Engineering Mathematics. Palgrave Macmillan UK, 1990. http://dx.doi.org/10.1007/978-1-349-20731-2_9.

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Zorich, Vladimir A. "Multiple Integrals." In Universitext. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-48993-2_3.

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Stroud, K. A. "Multiple Integrals." In Engineering Mathematics. Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1007/978-1-349-18708-9_23.

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Conference papers on the topic "Multiple integrals"

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Banik, Sumit, and Samuel Friot. "Analytic Evaluation of Multiple Mellin-Barnes Integrals." In Loops and Legs in Quantum Field Theory. Sissa Medialab, 2024. http://dx.doi.org/10.22323/1.467.0039.

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Vaezi, Seyed Sina, Luis J. Gomez, and Weng C. Chew. "Accelerated Acoustic Volume Integral Equation Using Broadband Fast Multipole Algorithm." In 2025 International Applied Computational Electromagnetics Society Symposium (ACES). IEEE, 2025. https://doi.org/10.23919/aces66556.2025.11052557.

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Georgiev, S. "Multiple iso-integrals." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912715.

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Shakeshaft, Robin. "Theoretical aspects of above-threshold absorption." In Multiple Excitations of Atoms. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/mea.1986.mb1.

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We will review computational and physical aspects of the ionization of an atom by N photons with N&gt;P, where P is the minimum number of photons required to ionize the atom. In perturbation theory the matrix element, M(N), for N-photon absorption can be decomposed as M+(N) + M−(N), which results from the decomposition of the stationary wave of the emergent photoelectron into its outgoing ( + ) and ingoing (−) parts. Each of the M±(N)are N-dimensional integrals over N radial coordinates ri, i=1,…,N. Although these integrals are not formally convergent for N&gt;P, the integrand of M+(N) consist
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Lequn Hu, Derek T. Anderson, and Timothy C. Havens. "Multiple kernel aggregation using fuzzy integrals." In 2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2013. http://dx.doi.org/10.1109/fuzz-ieee.2013.6622312.

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Chaloupka, Jan, Jiří Kunovský, Václav Šátek, Petr Veigend, and Alžbeta Martinkovičová. "Numerical Integration of Multiple Integrals using Taylor Polynomial." In 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. SCITEPRESS - Science and and Technology Publications, 2015. http://dx.doi.org/10.5220/0005539701630171.

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Weinzierl, Stefan, Luise Adams, Christian Bogner, Ekta Chaubey, and Armin Schweitzer. "Differential equations for Feynman integrals beyond multiple polylogarithms." In 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.290.0015.

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Yu, Chii-Huei. "Application of maple on evaluating multiple improper integrals." In 2013 6th International Conference on Advanced Infocomm Technology (ICAIT). IEEE, 2013. http://dx.doi.org/10.1109/icait.2013.6621489.

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Knockaert, L. "On the analytic calculation of multiple integrals in electromagnetics." In Propagation in Wireless Communications (ICEAA). IEEE, 2011. http://dx.doi.org/10.1109/iceaa.2011.6046406.

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Bonaventura, A., L. Coluccio, and G. Fedele. "Frequency estimation of multi-sinusoidal signal by multiple integrals." In 2007 IEEE International Symposium on Signal Processing and Information Technology. IEEE, 2007. http://dx.doi.org/10.1109/isspit.2007.4458175.

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Reports on the topic "Multiple integrals"

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Perez-Abreu, Victor. Multiple Wiener Integrals and Nonlinear Functionals of a Nuclear Space Valued Wiener Process. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada177227.

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Brigola, R. Remark on the Multiple Wiener Integral. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada186015.

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Bright, Gerald D., Robert S. Mandry, and Mark D. Barnell. Innovative Approach to Fusion Testbed to Integrate Multiple Sensor Data. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada299800.

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Samorodnitsky, Gennady, and Jerzy Szulga. An Asymptotic Evaluation of the Tail of a Multiple Symmetric Alpha-Stable Integral. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada194570.

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Landweber, Louis. Residues of Integrals with Three-Dimensional Multipole Singularities, with Application to the Lagally Theorem. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158771.

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Harris and Edlund. L51766 Instantaneous Rotational Velocity Development. Pipeline Research Council International, Inc. (PRCI), 1997. http://dx.doi.org/10.55274/r0010119.

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Considerable effort has been put forth to develop an automated method for balancing the power cylinders of reciprocating integral engines used in the natural gas industry. The benefits to power cylinder balance include reducted emissions and improved cylinder component mechanical integrity (which should lead to reductions in repair costs). The current approach to automate engine balancing uses pressure transducers to measure cylinder pressure, then integrate the signals into the engine fuel /timing management controller to achieve engine balance. Each power cylinder must be instrumented, which
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Brakarz, José, and Laura Jaitman. Evaluation of Slum Upgrading Programs: Literature Review and Methodological Approaches. Inter-American Development Bank, 2013. http://dx.doi.org/10.18235/0009149.

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This technical note analyzes the methodologies used to evaluate neighborhood upgrading programs, describes their results, and suggests approaches for future evaluations. Local and central governments are increasingly utilizing slum or neighborhood upgrading programs to deal with the multiple problems of urban poverty. These programs employ a methodology of integral interventions, combining of both infrastructure works and social services targeted to specific neighborhoods. Due to this variety of interventions the assessment of their impact is complicated and requires a comprehensive approach.
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Yoel, David, Tina Sicilia, Matthew Bogaart, and Jeremy Fernandes. PR-417-203902-R02 Remote Sensing and Leak Detection Platform that Can Deploy Multiple Sensor Types. Pipeline Research Council International, Inc. (PRCI), 2024. http://dx.doi.org/10.55274/r0000055.

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American Aerospace Technologies, Inc. has conducted a pilot project for the Pipeline Research Council, International to evaluate the performance of an automated threat detection system onboard a medium alti-tude, long endurance unmanned aircraft capable of beyond visual line of sight flight that can be used in the pipeline industry for routine patrol and surveillance as a risk reduction solution. The unmanned aircraft system test program evaluation was conducted at Test Site(s) in Pendleton, Oregon, Woodbine, New Jersey, and San Joaquin Valley, California using American Aerospace sensors, unma
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Moeyaert, Mariola. Introduction to Meta-Analysis. Instats Inc., 2023. http://dx.doi.org/10.61700/9egp6tqy3koga469.

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This seminar provides hands-on instruction covering the process of conducting a meta-analysis, from the planning stage through the selection of appropriate statistical techniques, the issues involved in analyzing data, and the interpretation of results. During the seminar you will learn how to use meta-analytic techniques to combine evidence across different research studies; integrate multiple studies into a single statistical framework; obtain precise and generalizable estimates of effect sizes; and explain differences arising from conflicting study results. An official Instats certificate o
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Moeyaert, Mariola. Introduction to Meta-Analysis. Instats Inc., 2023. http://dx.doi.org/10.61700/z1ui6nlaom67q469.

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This seminar provides hands-on instruction covering the process of conducting a meta-analysis, from the planning stage through the selection of appropriate statistical techniques, the issues involved in analyzing data, and the interpretation of results. During the seminar you will learn how to use meta-analytic techniques to combine evidence across different research studies; integrate multiple studies into a single statistical framework; obtain precise and generalizable estimates of effect sizes; and explain differences arising from conflicting study results. An official Instats certificate o
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