Relevant bibliographies by topics / Integral Basis

Contents

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

Academic literature on the topic 'Integral Basis'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Integral Basis"

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Hu, Jin-Xiu, Hai-Feng Peng, and Xiao-Wei Gao. "Numerical Evaluation of Arbitrary Singular Domain Integrals Using Third-Degree B-Spline Basis Functions." Mathematical Problems in Engineering 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/284106.

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A new approach is presented for the numerical evaluation of arbitrary singular domain integrals. In this method, singular domain integrals are transformed into a boundary integral and a radial integral which contains singularities by using the radial integration method. The analytical elimination of singularities condensed in the radial integral formulas can be accomplished by expressing the nonsingular part of the integration kernels as a series of cubic B-spline basis functions of the distancerand using the intrinsic features of the radial integral. In the proposed method, singularities invo
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Mukha, V. S., and N. F. Kako. "Integrals and integral transformations related to the vector Gaussian distribution." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 4 (2020): 457–66. http://dx.doi.org/10.29235/1561-2430-2019-55-4-457-466.

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This paper is dedicated to the integrals and integral transformations related to the probability density function of the vector Gaussian distribution and arising in probability applications. Herein, we present three integrals that permit to calculate the moments of the multivariate Gaussian distribution. Moreover, the total probability formula and Bayes formula for the vector Gaussian distribution are given. The obtained results are proven. The deduction of the integrals is performed on the basis of the Gauss elimination method. The total probability formula and Bayes formula are obtained on t
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Haghighi, Mohmood. "Relative integral basis for algebraic number fields." International Journal of Mathematics and Mathematical Sciences 9, no. 1 (1986): 97–104. http://dx.doi.org/10.1155/s0161171286000121.

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At first conditions are given for existence of a relative integral basis forOK≅Okn−1⊕Iwith[K;k]=n. Then the constrtiction of the idealIinOK≅Okn−1⊕Iis given for proof of existence of a relative integral basis forOK4(m1,m2)/Ok(​m3). Finally existence and construction of the relative integral basis forOK6(n3,−3)/Ok3(n3),OK6(n3,−3)/Ok2(−3)for some values ofnare given.
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Jakhar, Anuj, Sudesh K. Khanduja, and Neeraj Sangwan. "ON INTEGRAL BASIS OF PURE NUMBER FIELDS." Mathematika 67, no. 1 (2020): 187–95. http://dx.doi.org/10.1112/mtk.12067.

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Cao, T. "Hierarchical basis methods for hypersingular integral equations." IMA Journal of Numerical Analysis 17, no. 4 (1997): 603–19. http://dx.doi.org/10.1093/imanum/17.4.603.

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Haus, Utz-Uwe, Matthias Köppe, and Robert Weismantel. "The integral basis method for integer programming." Mathematical Methods of Operations Research (ZOR) 53, no. 3 (2001): 353–61. http://dx.doi.org/10.1007/s001860100124.

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Dorri, B., and V. Kadambi. "Boundary integral analysis with orthogonal basis functions." Communications in Applied Numerical Methods 4, no. 5 (1988): 623–30. http://dx.doi.org/10.1002/cnm.1630040505.

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عبد الله, أمل علي محمد. "تطبيقات نظرية البواقي لحساب بعض أنواع من التكاملات الحقيقية المعتلة". International Science and Technology Journal 35, № 1 (2024): 1–24. https://doi.org/10.62341/ampt203.

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A complex variable is a quantity that contains both a real part and an imaginary part. Complex analysis is an application of mathematics that analyses the features of functions of complex variables. Physics, engineering, and computer science are just a few of the scientific disciplines that benefit from complex analysis. In order to tackle issues that are challenging or impossible to resolve using only real variables, complex analysis is crucial. ( Chanyu Xie، 2024) This research provides a definition of the most important theories in complex analysis, which is called the residue theory، which
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Carbó, Ramon, and Emili Besalú. "AO integral evaluation using Cartesian exponential type orbitals (CETOs)." Canadian Journal of Chemistry 70, no. 2 (1992): 353–61. http://dx.doi.org/10.1139/v92-050.

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CETO functions and their properties are defined and described, to provide a means of obtaining general expressions for many-center many-electron integral formulae. Compact integral expressions are written by means of nested summation symbols, a new concept developed in this paper. Integrals over CETO functions are computed by means of a set of several auxiliary integral forms. No transformations other than frame rotations are needed to compute the usual integral terms. The formulae obtained are immediately programmable in any high level language and the parallelizable terms are obtained with a
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Tran, Thanh, Ernst p. Stephan, and Patrick Mund. "Hierarchical basis preconditioners for first kind integral equations." Applicable Analysis 65, no. 3-4 (1997): 353–72. http://dx.doi.org/10.1080/00036819708840566.

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Dissertations / Theses on the topic "Integral Basis"

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Li, Ge Jr. "Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier Algebras of type A." Thesis, The University of Sydney, 2012. http://hdl.handle.net/2123/8844.

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The main purpose of this thesis is to prove that the cyclotomic Khovanov-Lauda-Rouquier algebras of type A over Z are free by giving a graded cellular basis of the cyclotomic KLR algebra. We then extend it to obtain a graded cellular basis of the affine KLR algebra, which indicates that the affine KLR algebra is an affine graded cellular algebra. Finally we work with the Jucys-Murphy elements of the cyclotomic Hecke algebras of type A and proved a periodic property of these elements.
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Akasaka, Tatsuya. "An Integral PBW Basis of the Quantum Affine Algebra of Type A2[(2)]." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/150388.

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Langton, Michael Keith. "Radial Basis Functions Applied to Integral Interpolation, Piecewise Surface Reconstruction and Animation Control." Thesis, University of Canterbury. Mathematics and Statistics, 2009. http://hdl.handle.net/10092/4078.

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This thesis describes theory and algorithms for use with Radial Basis Functions (RBFs), emphasising techniques motivated by three particular application areas. In Part I, we apply RBFs to the problem of interpolating to integral data. While the potential of using RBFs for this purpose has been established in an abstract theoretical context, their use has been lacking an easy to check sufficient condition for finding appropriate parent basic functions, and explicit methods for deriving integral basic functions from them. We present both these components here, as well as explicit formulations
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Adrian, Simon. "Rapidly converging boundary integral equation solvers in computational electromagnetics." Thesis, Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire, 2018. http://www.theses.fr/2018IMTA0074/document.

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L'équation intégrale du champ électrique (EFIE) et l'équation intégrale du champ combiné (CFIE) souffrent d'un mauvais conditionnement à haute discrétisation et à bassefréquence : si la taille moyenne des arrêtes du maillage est réduite ou si la fréquence est diminuée le conditionnement du système se dégrade rapidement. Cela provoque le ralentissement ou la non convergence des solveurs itératifs. Cette dissertation présente de nouveaux paradigmes permettant l'obtention de solveurs à convergence rapide pour équations intégrales; pour prévenir la dégradation du conditionnement nous avançons l'ét
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Hu, Xin 1979. "The use of conduction mode basis functions in surface integral formulation for wideband impedance extraction." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/87356.

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Wei, Jiangong. "Surface Integral Equation Methods for Multi-Scale and Wideband Problems." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1408653442.

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Kulkarni, Shashank D. "Development and validation of a Method of Moments approach for modeling planar antenna structures." Worcester, Mass. : Worcester Polytechnic Institute, 2007. http://www.wpi.edu/Pubs/ETD/Available/etd-042007-151741/.

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Dissertation (Ph.D.)--Worcester Polytechnic Institute.<br>Keywords: patch antennas; volume integral equation (VIE); method of moments (MoM); low order basis functions; convergence. Includes bibliographical references (leaves 169-186 ).
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Siebertz, Hanna Margarete [Verfasser], Stefan [Akademischer Betreuer] Gründer, and Gerhard [Akademischer Betreuer] Müller-Newen. "Approach to the structural basis of silencing of acid-sensing ion channel 3 by the integral membrane protein stomatin / Hanna Margarete Siebertz ; Stefan Gründer, Gerhard Müller-Newen." Aachen : Universitätsbibliothek der RWTH Aachen, 2019. http://d-nb.info/1195237464/34.

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Li, Li [Verfasser], Thomas [Akademischer Betreuer] [Gutachter] Eibert, and Romanus [Gutachter] Dyczij-Edlinger. "Singularity Cancellation Transformations and Hierarchical Higher Order Basis Functions for the Hybrid Finite Element Boundary Integral Technique / Li Li. Betreuer: Thomas Eibert. Gutachter: Romanus Dyczij-Edlinger ; Thomas Eibert." München : Universitätsbibliothek der TU München, 2016. http://d-nb.info/1104368218/34.

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Amaral, Rafael Costa. "Uma nova estratégia para o cálculo de afinidades eletrônicas." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/75/75134/tde-07052015-111204/.

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A afinidade eletrônica (AE) é uma importante propriedade de átomos e moléculas, sendo definida como a diferença de energia entre a espécie neutra e seu respectivo íon negativo. Uma vez que a AE é uma fração muito pequena da energia eletrônica total das espécies neutra e aniônica, é necessário que tais energias sejam determinadas com elevado grau de precisão. A receita utilizada para o cálculo teórico acurado da AE atômica e molecular baseia-se na escolha de um conjunto adequado de funções de base juntamente com o emprego de teorias com altos níveis de correlação eletrônica. Durante o cálculo,
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Books on the topic "Integral Basis"

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Peterson, Andrew F. MAPPED VECTOR BASIS FUNCTIONS FOR ELECTROMAGNETIC INTEGRAL EQUATIONS. Springer International Publishing, 2006. http://dx.doi.org/10.1007/978-3-031-01686-8.

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Zhang, Yu. Higher Order Basis Based Integral Equation Solver (HOBBIES). John Wiley & Sons Inc., 2012.

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Zhang, Yu. Higher Order Basis Based Integral Equation Solver (HOBBIES). John Wiley & Sons Inc., 2012.

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Petromichelakis, Ioannis. Path integral techniques and Gröbner basis approaches for stochastic response analysis and optimization of diverse nonlinear dynamic systems. [publisher not identified], 2020.

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Il, Chang Yoon, ed. Plentiful energy: The story of the integral fast reactor, the complex history of a simple reactor technoloogy, with emphasis on its scientific basis for non-specialists. Charles E. Till and Yoon Il Chang, 2011.

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Montoya, Martha Arango. La atención integral a la niñez. Secretaría General de la Organización de los Estados Americanos, 1990.

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Gaál, István. Diophantine Equations and Power Integral Bases. Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0085-7.

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Gaál, István. Diophantine Equations and Power Integral Bases. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23865-0.

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König, Heinz. Measure and integration: An advanced course in basic procedure and applications. Springer, 1997.

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König, Heinz. Measure and integration: An advanced course in basic procedure and applications. Springer, 1997.

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Book chapters on the topic "Integral Basis"

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Ribenboim, Paulo. "Integral Basis, Discriminant." In Classical Theory of Algebraic Numbers. Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21690-4_6.

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Schwindt, Jan-Markus. "Path Integral." In Conceptual Basis of Quantum Mechanics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24526-3_13.

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Khanduja, Sudesh Kaur. "Integral Basis and Discriminant." In UNITEXT. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9150-8_2.

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Khanduja, Sudesh Kaur. "Integral Basis and Discriminant." In UNITEXT. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9150-8_2.

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Khanduja, Sudesh Kaur. "Integral Basis and Discriminant." In UNITEXT. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9150-8_2.

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Pohst, Michael E. "Computation of an integral basis." In Computational Algebraic Number Theory. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8589-8_5.

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Peterson, Andrew F. "Divergence-Conforming Basis Functions." In MAPPED VECTOR BASIS FUNCTIONS FOR ELECTROMAGNETIC INTEGRAL EQUATIONS. Springer International Publishing, 2006. http://dx.doi.org/10.1007/978-3-031-01686-8_3.

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Peterson, Andrew F. "Curl-Conformin Basis Functions." In MAPPED VECTOR BASIS FUNCTIONS FOR ELECTROMAGNETIC INTEGRAL EQUATIONS. Springer International Publishing, 2006. http://dx.doi.org/10.1007/978-3-031-01686-8_4.

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Peterson, Andrew F. "Transforming Vector Basis Functions to Curved Cells." In MAPPED VECTOR BASIS FUNCTIONS FOR ELECTROMAGNETIC INTEGRAL EQUATIONS. Springer International Publishing, 2006. http://dx.doi.org/10.1007/978-3-031-01686-8_5.

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Pohst, M. E., and M. Schörnig. "On integral basis reduction in global function fields." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61581-4_62.

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Conference papers on the topic "Integral Basis"

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Zhang, Mingxuan, Zhenhong Fan, Dazhi Ding, and Zhaolong Li. "Partially Overlapping Basis Functions for Surface Integral Equations." In 2024 International Applied Computational Electromagnetics Society Symposium (ACES-China). IEEE, 2024. http://dx.doi.org/10.1109/aces-china62474.2024.10699868.

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Wu, Yueqian, and Liming Zhang. "On the use of the revised pulse vector basis functions for volume integral equation." In 2024 International Applied Computational Electromagnetics Society Symposium (ACES-China). IEEE, 2024. http://dx.doi.org/10.1109/aces-china62474.2024.10699792.

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Duan, Chengxiang, Mingda Zhu, Yong Wang, Yu Wang, and Xifeng Pu. "Augmented Combined Field Integral Equation with Multibranch RWG Basis Functions for Electromagnetic Scattering Problems." In 2024 IEEE MTT-S International Microwave Workshop Series on Advanced Materials and Processes for RF and THz Applications (IMWS-AMP). IEEE, 2024. https://doi.org/10.1109/imws-amp62793.2024.10966683.

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Kolundzija, Branko M. "Advantage of Modeling Using HOBF (Higher Order Basis Functions) for Solving Integral Equation Based Methods." In 16th International Zurich Symposium and Technical Exposition on Electromagnetic Compatibility. IEEE, 2005. https://doi.org/10.23919/emc.2005.10806467.

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Pavlova, Albena, and Radka Koleva. "Approximate solution of two-dimensional Hammerstein-Volterra fuzzy integral equations with partial integrals." In THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES (TBET 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0041815.

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Luo, Chong, Giacomo Bianconi, and Swagato Chakraborty. "Evaluation of near-singular integrals for quadrilateral basis in integral equation solver." In 2015 IEEE 24th Electrical Performance of Electronic Packaging and Systems (EPEPS). IEEE, 2015. http://dx.doi.org/10.1109/epeps.2015.7347126.

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Luo, Chong, Giacomo Bianconi, and Swagato Chakraborty. "Evaluation of near-singular integrals for quadrilateral basis in integral equation solver." In 2016 IEEE Electrical Design of Advanced Packaging and Systems (EDAPS). IEEE, 2016. http://dx.doi.org/10.1109/edaps.2016.7874405.

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Fan, Z. H., Jian Bao, Edward K. N. Yung, and R. S. Chen. "Volume Integral Equation using Solenoidal Basis Functions." In 2006 7th International Symposium on Antennas, Propagation & EM Theory. IEEE, 2006. http://dx.doi.org/10.1109/isape.2006.353556.

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Richards, Samuel, William Martin, David Campbell, et al. "BASIS: Bayfordbury single-object integral field spectrograph." In SPIE Astronomical Telescopes + Instrumentation, edited by Ian S. McLean, Suzanne K. Ramsay, and Hideki Takami. SPIE, 2012. http://dx.doi.org/10.1117/12.925378.

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Dang, Xunwang, and Maokun Li. "Combined Field Integral Equation with Reduced Basis Method." In 2019 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2019. http://dx.doi.org/10.1109/compem.2019.8779014.

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Reports on the topic "Integral Basis"

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Brasil, André. Multidimensionality through self-evaluation: From theory to practice in the Brazilian graduate system. Fteval - Austrian Platform for Research and Technology Policy Evaluation, 2022. http://dx.doi.org/10.22163/fteval.2022.546.

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Nearly all science and technology research in Brazil is conducted within a national system of graduate education. Since the 1970s, a graduate program assessment has been an integral part of such a system, and it is currently held on a quadrennial basis. The evaluation model is dynamic, evolving from the experiences of evaluators, policymakers, and the scientific community during each four-year cycle. This study analyses policy initiatives from the 2017-2021 evolving effort, focusing on strategies and recommendations to implement multidimensionality and self-evaluation as integral components of
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Gómez Lozano, Alberto. La integral directa. Ediciones Universidad Cooperativa de Colombia, 2022. http://dx.doi.org/10.16925/gcnc.30.

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Este documento facilita el aprendizaje de la integral directa, utilizando las tablas de integración para la solución de ella. Es necesario contar con los conocimientos previos del álgebra como operaciones básicas con expresiones algebraicas, factorización, las reglas de derivación, etc. Los conceptos por desarrollar empiezan con exponentes y radicales, factorización y la integral directa; por consiguiente, es un documento que nos sirve para afianzar el desarrollo de la integral directa, para resolver problemas básicos y tener las bases matemáticas para desarrollar situaciones complejas durante
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Rajarajan, Kunasekaran, Alka Bharati, Hirdayesh Anuragi, et al. Status of perennial tree germplasm resources in India and their utilization in the context of global genome sequencing efforts. World Agroforestry, 2020. http://dx.doi.org/10.5716/wp20050.pdf.

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Tree species are characterized by their perennial growth habit, woody morphology, long juvenile period phase, mostly outcrossing behaviour, highly heterozygosity genetic makeup, and relatively high genetic diversity. The economically important trees have been an integral part of the human life system due to their provision of timber, fruit, fodder, and medicinal and/or health benefits. Despite its widespread application in agriculture, industrial and medicinal values, the molecular aspects of key economic traits of many tree species remain largely unexplored. Over the past two decades, researc
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Pacheco-Pinilla, Claudia Marcela, and Lina Shirley López-Hernández. Aplicación de integrales: centro de masa-centroides. Ediciones Universidad Cooperativa de Colombia, 2023. http://dx.doi.org/10.16925/gcnc.70.

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El cálculo integral es una rama fundamental del cálculo con amplia aplicabilidad en la ingeniería civil, abarcando aspectos como los sólidos de revolución, el trabajo, los movimientos físicos, el centro de masa, el centroide, entre otros. En esta nota de clase, nos enfocaremos especialmente en el valor promedio de una función, el cual es una propiedad intrínseca de las integrales. Puntualmente, exploraremos el cálculo del centro de masa en estructuras como barras, láminas o regiones delimitadas por curvas. El dominio de estos conceptos es esencial para el desarrollo óptimo de cursos inherentes
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Hlushak, Oksana M., Svetlana O. Semenyaka, Volodymyr V. Proshkin, Stanislav V. Sapozhnykov, and Oksana S. Lytvyn. The usage of digital technologies in the university training of future bachelors (having been based on the data of mathematical subjects). [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3860.

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This article demonstrates that mathematics in the system of higher education has outgrown the status of the general education subject and should become an integral part of the professional training of future bachelors, including economists, on the basis of intersubject connection with special subjects. Such aspects as the importance of improving the scientific and methodological support of mathematical training of students by means of digital technologies are revealed. It is specified that in order to implement the task of qualified training of students learning econometrics and economic and m
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Niang, Aladji Babacar, Gane Samb Lo, and Moumouni Diallo. Asymptotic laws of summands I: square integrable independent random variables. Arxiv, 2021. http://dx.doi.org/10.16929/hs/imhotep.2021.x.002.

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This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review exposition but specially as a complete exposition expect a few exterior resources. For graduate students and for researchers (beginners or advanced), any paper of the series should be considered as a basis for constructing new results. The contents are taken from advanced books but the organization and the proofs use more recent tools, are given in more details
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Vargas Leal, Viviana Marcela, Martha Cervantes Díaz, and Sergio Alejandro Idárraga-Ortiz. Informe de vigilancia competitiva para el proceso de renovación de registro calificado para la Maestría en Calidad y Gestión Integral. Universidad Santo Tomás, 2023. http://dx.doi.org/10.15332/li.lib.2023.000014.

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El documento presenta un análisis de vigilancia tecnológica basado en la Norma UNE 166006: 2018, que permite monitorear y analizar avances tecnológicos y científicos en un campo específico. Se centra en identificar tendencias de investigación y referentes académicos para la Maestría en Calidad y Gestión Integral de la Universidad Santo Tomás, utilizando cienciometría y consultas en bases de datos como Scopus y SNIES. Además, se examina la dinámica de inscripciones, admisiones, matriculaciones y graduaciones en el periodo 2018-2021. Se concluye con la identificación de tendencias de investigaci
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Schmidt-Wiborg, Petra. Sich kritisch widersetzende Care: eine ethisch-philosophische Reflexion. Socialnet, 2025. https://doi.org/10.60049/kfqbm57f.

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Care (Sorge) befindet sich in einer strukturellen Krise, im Privatbereich ebenso wie in Berufsgruppen mit integralen Care-Anteilen, besonders SAGE und deren Wissenschaften. Zugrunde liegen Fehlentwicklungen auf Basis eines neoliberalen Wertekompasses. Aus Michael Sandels ethisch-philosophischer Kritik ergeben sich Argumente und Impulse, sich zu widersetzen für Beitragsgerechtigkeit und Gemeinwohl.
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Leis and Zhu. PR-003-103603-R01 Assessing Corrosion Severity for High-Strength Steels. Pipeline Research Council International, Inc. (PRCI), 2014. http://dx.doi.org/10.55274/r0010821.

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This project was directed at isolating the effects of the metal-loss geometry and the properties of the steels, as the basis to quantify the effects of the metal loss geometry and to seamlessly consolidate the databases and integrate severity criteria for the vintage and higher-strength grades, to make corrosion management seamless across grade.
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Kokurina, Olga Yu. STATE SOVEREIGNTY AND PUBLIC RESPONSIBILITY OF GOVERNMENT IN THE LIGHT OF A SYSTEMIC-ORGANIC APPROACH: INTERDISCIPLINARY RESEARCH. SIB-Expertise, 2023. http://dx.doi.org/10.12731/er0755.18122023.

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Abstract:
This electronic resource contains a critical summary of the problems of sovereign statehood and the responsibility of public authority in the light of an interdisciplinary systemic organic approach. The author reveals the essence and content of the categories “sovereign statehood” and “responsibility of public authority” as key factors of the state legal system for ensuring the life of the Russian Federation in the conditions of the emergence of a new world order. It is shown that the multi-valued category of “statehood” (statehood, stateness, nationhood, nationness) reflects the complexity of
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