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Journal articles on the topic 'Integral theory'

To see the other types of publications on this topic, follow the link: Integral theory.

Author: Grafiati

Published: 4 June 2021

Last updated: 21 February 2023

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1

Bhoi, Jhasaketan, and Ujjwal Laha. "Integral Transforms and Their Applications to Scattering Theory." International Journal of Applied Physics and Mathematics 4, no. 6 (2014): 386–405. http://dx.doi.org/10.17706/ijapm.2014.4.6.386-405.

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2

Rutzou, Timothy. "Integral Theory." Journal of Critical Realism 11, no. 2 (March 8, 2012): 215–24. http://dx.doi.org/10.1558/jcr.v11i2.215.

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3

Karim, Dr Dahir Latif, and Niyan Nausherwan Fuad. "The Integral theory in Comparative Literature." Journal of Zankoy Sulaimani Part (B - for Humanities) 1, no. 1 (January 30, 2000): 1–21. http://dx.doi.org/10.17656/jzsb.10004.

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4

Shea, Linda, and Noreen Frisch. "Wilber’s Integral Theory and Dossey’s Theory of Integral Nursing." Journal of Holistic Nursing 34, no. 3 (June 23, 2016): 244–52. http://dx.doi.org/10.1177/0898010115608968.

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5

Gallifa, Josep. "Basic integral theory and integral education." International Journal of Education and Teaching 1, no. 1 (March 5, 2021): 1–12. http://dx.doi.org/10.51483/ijedt.1.1.2021.1-12.

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6

Despain, Hans G. "Debate Integral Theory." Journal of Critical Realism 12, no. 4 (October 2013): 507–17. http://dx.doi.org/10.1179/1476743013z.00000000011.

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7

Fujikawa, Kazuo. "Yang–Mills theory and fermionic path integrals." Modern Physics Letters A 31, no. 04 (January 26, 2016): 1630004. http://dx.doi.org/10.1142/s0217732316300044.

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The Yang–Mills gauge field theory, which was proposed 60 years ago, is extremely successful in describing the basic interactions of fundamental particles. The Yang–Mills theory in the course of its developments also stimulated many important field theoretical machinery. In this brief review I discuss the path integral techniques, in particular, the fermionic path integrals which were developed together with the successful applications of quantized Yang–Mills field theory. I start with the Faddeev–Popov path integral formula with emphasis on the treatment of fermionic ghosts as an application of Grassmann numbers. I then discuss the ordinary fermionic path integrals and the general treatment of quantum anomalies. The contents of this review are mostly pedagogical except for a recent analysis of path integral bosonization.

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8

Dossey, Barbara Montgomery. "Theory of Integral Nursing." Advances in Nursing Science 31, no. 1 (January 2008): E52—E73. http://dx.doi.org/10.1097/01.ans.0000311536.11683.0a.

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9

Sternina, M. A. "Integral theory of polysemy." Juznoslovenski filolog, no. 62 (2006): 215–24. http://dx.doi.org/10.2298/jfi0662224s.

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10

Marquis, Andre. "What Is Integral Theory?" Counseling and Values 51, no. 3 (April 2007): 164–79. http://dx.doi.org/10.1002/j.2161-007x.2007.tb00076.x.

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11

Garetto, Claudia, Günther Hörmann, and Michael Oberguggenberger. "Generalized oscillatory integrals and Fourier integral operators." Proceedings of the Edinburgh Mathematical Society 52, no. 2 (May 28, 2009): 351–86. http://dx.doi.org/10.1017/s0013091506000915.

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AbstractIn this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need for a general framework for partial differential operators with non-smooth coefficients and distribution dataffi The mapping properties of these FIOs are studied, as is microlocal Colombeau regularity for OIs and the influence of the FIO action on generalized wavefront sets.

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12

Chaudhry, M. Aslam. "On a family of logarithmic and exponential integrals occurring in probability and reliability theory." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 35, no. 4 (April 1994): 469–78. http://dx.doi.org/10.1017/s0334270000009553.

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AbstractWe define an integral function Iμ(α, x; a, b) for non-negative integral values of μ byIt is proved that Iμ(α, x; a, b) satisfies a functional recurrence relation which is exploited to find a closed form evaluation of some incomplete integrals. New integral representations of the exponential integral and complementary error functions are found as special cases.

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13

Baker, Melissa. "Self Development And Integral Theory." Integral Transpersonal Journal 9, no. 9 (September 2017): 53. http://dx.doi.org/10.32031/itibte_itj_9-mb3.

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Development is a focal point of human existence from the moment of birth. A magnitude of options is offered in which to choose a path of growth and expansion as we progress. The following is a review of one such choice, the integral theory; included are both an explanation of theory and ideology of human development. This understanding is applied to my personal experience as I participated in P.L. Lattuada’s experiential process of organismic constellation. Through a gradual evolution of meditative processes Lattuada’s organismic constellation method offers a chance to explore one’s egoic translations. The second portion of this paper explores my personal process, revealing some of my personal egoic translations of traumas, fixations, complexes, and shadows. KEYWORDS Integral Theory, Organismic Constellations, Consciousness as Such Building, Human Development, First Attention Epistemology, Second Attention Epistemology

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14

Honda, Aoi, and Yoshiaki Okazaki. "Theory of inclusion-exclusion integral." Information Sciences 376 (January 2017): 136–47. http://dx.doi.org/10.1016/j.ins.2016.09.063.

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15

Biswas, Animikh, and Srdjan Petrovic. "Integral Equations and Operator Theory." Integral Equations and Operator Theory 55, no. 2 (December 20, 2005): 233–48. http://dx.doi.org/10.1007/s00020-005-1381-5.

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16

Dundas, Bjørn Ian, and Harald Øyen Kittang. "Integral excision for $K$-theory." Homology, Homotopy and Applications 15, no. 1 (2013): 1–25. http://dx.doi.org/10.4310/hha.2013.v15.n1.a1.

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17

Böhm, Gabriella. "Integral Theory for Hopf Algebroids." Algebras and Representation Theory 8, no. 4 (October 2005): 563–99. http://dx.doi.org/10.1007/s10468-005-8760-0.

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18

Petros, Peter E. P., and Patrick J. Woodman. "The Integral Theory of continence." International Urogynecology Journal 19, no. 1 (October 30, 2007): 35–40. http://dx.doi.org/10.1007/s00192-007-0475-9.

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19

Ashour, Samir A. "Numerical solution of integral equations with finite part integrals." International Journal of Mathematics and Mathematical Sciences 22, no. 1 (1999): 155–60. http://dx.doi.org/10.1155/s0161171299221552.

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20

Mukha, V. S., and N. F. Kako. "The integrals and integral transformations connected with the joint vector Gaussian distribution." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 57, no. 2 (July 16, 2021): 206–16. http://dx.doi.org/10.29235/1561-2430-2021-57-2-206-216.

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In many applications it is desirable to consider not one random vector but a number of random vectors with the joint distribution. This paper is devoted to the integral and integral transformations connected with the joint vector Gaussian probability density function. Such integral and transformations arise in the statistical decision theory, particularly, in the dual control theory based on the statistical decision theory. One of the results represented in the paper is the integral of the joint Gaussian probability density function. The other results are the total probability formula and Bayes formula formulated in terms of the joint vector Gaussian probability density function. As an example the Bayesian estimations of the coefficients of the multiple regression function are obtained. The proposed integrals can be used as table integrals in various fields of research.

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21

문일경. "Integral Approach to Psychotherapy Centered on Ken Wilber's Integral Theory." Korea Journal of Counseling 10, no. 2 (June 2009): 1277–90. http://dx.doi.org/10.15703/kjc.10.2.200906.1277.

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22

CARIÑENA, JOSÉ F., KURUSCH EBRAHIMI-FARD, HÉCTOR FIGUEROA, and JOSÉ M. GRACIA-BOND. "HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY." International Journal of Geometric Methods in Modern Physics 04, no. 04 (June 2007): 577–646. http://dx.doi.org/10.1142/s0219887807002211.

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The theory of exact and of approximate solutions for non-autonomous linear differential equations forms a wide field with strong ties to physics and applied problems. This paper is meant as a stepping stone for an exploration of this long-established theme, through the tinted glasses of a (Hopf and Rota–Baxter) algebraic point of view. By reviewing, reformulating and strengthening known results, we give evidence for the claim that the use of Hopf algebra allows for a refined analysis of differential equations. We revisit the renowned Campbell–Baker–Hausdorff–Dynkin formula by the modern approach involving Lie idempotents. Approximate solutions to differential equations involve, on the one hand, series of iterated integrals solving the corresponding integral equations; on the other hand, exponential solutions. Equating those solutions yields identities among products of iterated Riemann integrals. Now, the Riemann integral satisfies the integration-by-parts rule with the Leibniz rule for derivations as its partner; and skewderivations generalize derivations. Thus, we seek an algebraic theory of integration, with the Rota–Baxter relation replacing the classical rule. The methods to deal with noncommutativity are especially highlighted. We find new identities, allowing for an extensive embedding of Dyson–Chen series of time- or path-ordered products (of generalized integration operators); of the corresponding Magnus expansion; and of their relations, into the unified algebraic setting of Rota–Baxter maps and their inverse skewderivations. This picture clarifies the approximate solutions to generalized integral equations corresponding to non-autonomous linear (skew) differential equations.

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23

Gonzalez-Velasco, Enrique A. "The Lebesgue integral as a Riemann integral." International Journal of Mathematics and Mathematical Sciences 10, no. 4 (1987): 693–706. http://dx.doi.org/10.1155/s0161171287000802.

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24

Bringmann, Kathrin, and Larry Rolen. "Half-integral weight Eichler integrals and quantum modular forms." Journal of Number Theory 161 (April 2016): 240–54. http://dx.doi.org/10.1016/j.jnt.2015.03.001.

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25

Shpakivskyi, V. S., and T. S. Kuzmenko. "Integral theorems for the quaternionic G-monogenic mappings." Analele Universitatii "Ovidius" Constanta - Seria Matematica 24, no. 2 (June 1, 2016): 271–81. http://dx.doi.org/10.1515/auom-2016-0042.

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Abstract In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvilinear integrals, and the Cauchy integral formula for G-monogenic mappings.

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26

Park, Mi Hee. "Integral Closure of Graded Integral Domains." Communications in Algebra 35, no. 12 (November 26, 2007): 3965–78. http://dx.doi.org/10.1080/00927870701509511.

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27

Daele, A. Van. "The Lebesgue Integral Without Measure Theory." American Mathematical Monthly 97, no. 10 (December 1990): 912. http://dx.doi.org/10.2307/2324331.

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28

Takeuchi, Yuichiro, and Kunihiko Nagamine. "Theory and Implementation of Integral Illumination." IEEE Access 10 (2022): 939–50. http://dx.doi.org/10.1109/access.2021.3139108.

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29

Bougoffa, Lazhar, and Panagiotis T. Krasopoulos. "Integral inequalities in probability theory revisited." Mathematical Gazette 105, no. 563 (June 21, 2021): 263–70. http://dx.doi.org/10.1017/mag.2021.56.

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30

Pfeffer. "AN INTEGRAL IN GEOMETRIC MEASURE THEORY." Real Analysis Exchange 16, no. 1 (1990): 26. http://dx.doi.org/10.2307/44153661.

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31

Holovko. "Integral equation theory for nematic fluids." Condensed Matter Physics 13, no. 3 (2010): 33002. http://dx.doi.org/10.5488/cmp.13.33002.

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32

Radzhabov, Edward L. "Lp-theory of hankel's integral operator." Complex Variables, Theory and Application: An International Journal 26, no. 1-2 (November 1994): 157–66. http://dx.doi.org/10.1080/17476939408814773.

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33

Derrick, William R. "Open Problems in Singular Integral Theory." Journal of Integral Equations and Applications 5, no. 1 (March 1993): 23–28. http://dx.doi.org/10.1216/jiea/1181075725.

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34

Burton, T. A., and Tetsuo Furumochi. "A Stability Theory for Integral Equations." Journal of Integral Equations and Applications 6, no. 4 (December 1994): 445–77. http://dx.doi.org/10.1216/jiea/1181075832.

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35

Shi, Zhiping, Weiqing Gu, Xiaojuan Li, Yong Guan, Shiwei Ye, Jie Zhang, and Hongxing Wei. "The Gauge Integral Theory in HOL4." Journal of Applied Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/160875.

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The integral is one of the most important foundations for modeling dynamical systems. The gauge integral is a generalization of the Riemann integral and the Lebesgue integral and applies to a much wider class of functions. In this paper, we formalize the operational properties which contain the linearity, monotonicity, integration by parts, the Cauchy-type integrability criterion, and other important theorems of the gauge integral in higher-order logic 4 (HOL4) and then use them to verify an inverting integrator. The formalized theorem library has been accepted by the HOL4 authority and will appear in HOL4 Kananaskis-9.

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36

Lange, Rutger-Jan. "Distribution theory for Schrödinger’s integral equation." Journal of Mathematical Physics 56, no. 12 (December 2015): 122105. http://dx.doi.org/10.1063/1.4936302.

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37

DASH, JAN W. "MULTIVARIATE INTEGRAL PERTURBATION TECHNIQUES I: THEORY." International Journal of Theoretical and Applied Finance 10, no. 08 (December 2007): 1287–304. http://dx.doi.org/10.1142/s0219024907004652.

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We present a quasi-analytic perturbation expansion for multivariate N-dimensional Gaussian integrals. The perturbation expansion is an infinite series of lower-dimensional integrals (one-dimensional in the simplest approximation). This perturbative idea can also be applied to multivariate Student-t integrals. We evaluate the perturbation expansion explicitly through 2nd order, and discuss the convergence, including enhancement using Padé approximants. Brief comments on potential applications in finance are given, including options, models for credit risk and derivatives, and correlation sensitivities.

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38

Balakrishnan, A. V. "Possio Integral Equation of Aeroelasticity Theory." Journal of Aerospace Engineering 16, no. 4 (October 2003): 139–54. http://dx.doi.org/10.1061/(asce)0893-1321(2003)16:4(139).

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39

Ichiye, Toshiko, and A. D. J. Haymet. "Integral equation theory of ionic solutions." Journal of Chemical Physics 93, no. 12 (December 15, 1990): 8954–62. http://dx.doi.org/10.1063/1.459234.

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40

Mokin, Yu I. "Special integral equations of potential theory." USSR Computational Mathematics and Mathematical Physics 29, no. 6 (January 1989): 166–76. http://dx.doi.org/10.1016/s0041-5553(89)80027-8.

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41

Zhou, Zhi-Dong, She-Xu Zhao, and Zhen-Bang Kuang. "An integral elasto-plastic constitutive theory." International Journal of Plasticity 19, no. 9 (September 2003): 1377–400. http://dx.doi.org/10.1016/s0749-6419(02)00101-8.

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42

De Cooman, G., E. E. Kerre, and F. R. Vanmassenhove. "Possibility theory: An integral theoretic approach." Fuzzy Sets and Systems 46, no. 2 (March 1992): 287–99. http://dx.doi.org/10.1016/0165-0114(92)90143-r.

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43

Ruymgaart, P. A., and T. T. Soong. "An integral equation in systems theory." Computers & Mathematics with Applications 19, no. 11 (1990): 135–40. http://dx.doi.org/10.1016/0898-1221(90)90156-e.

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44

Bhatt, Bhargav, Matthew Morrow, and Peter Scholze. "Integral p $p$ -adic Hodge theory." Publications mathématiques de l'IHÉS 128, no. 1 (November 2018): 219–397. http://dx.doi.org/10.1007/s10240-019-00102-z.

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45

Sa-yakanit, V., M. Nithisoontorn, and W. Sritrakool. "Path-Integral Theory of the Plasmaron." Physica Scripta 32, no. 4 (October 1, 1985): 334–40. http://dx.doi.org/10.1088/0031-8949/32/4/017.

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46

Van Daele, A. "The Lebesgue Integral Without Measure Theory." American Mathematical Monthly 97, no. 10 (December 1990): 912–15. http://dx.doi.org/10.1080/00029890.1990.11995686.

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47

Wittmann, R. C., and B. K. Alpert. "An Integral Occurring in Coherence Theory." SIAM Review 36, no. 4 (December 1994): 655. http://dx.doi.org/10.1137/1036147.

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48

Glasser, M. L. "An Integral from Electron Gas Theory." SIAM Review 38, no. 2 (June 1996): 313. http://dx.doi.org/10.1137/1038046.

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49

Chaudhry, M. Aslam, Asghar Qadir, M. Rafique, and S. M. Zubair. "A Definite Integral in Probability Theory." SIAM Review 38, no. 3 (September 1996): 514–15. http://dx.doi.org/10.1137/1038081.

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50

Frieden, B. Roy, and Choonsuck Oh. "Integral logarithmic transform: theory and applications." Applied Optics 31, no. 8 (March 10, 1992): 1138. http://dx.doi.org/10.1364/ao.31.001138.

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