Academic literature on the topic 'Multiplicative operator'

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Journal articles on the topic "Multiplicative operator"

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XU, Z. S. "EOWA AND EOWG OPERATORS FOR AGGREGATING LINGUISTIC LABELS BASED ON LINGUISTIC PREFERENCE RELATIONS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12, no. 06 (2004): 791–810. http://dx.doi.org/10.1142/s0218488504003211.

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In this paper, we define two types of linguistic preference relations (multiplicative linguistic preference relation and additive linguistic preference relation), and study some of their desirable properties. We introduce the extended geometric mean (EGM) operator, extended arithmetical averaging (EAA) operator, extended ordered weighted averaging (EOWA) operator and extended ordered weighted geometric (EOWG) operator. An approach based on the EGM and EOWG operators and multiplicative linguistic preference relations and an approach based on the EAA and EOWA operators and additive linguistic pr
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Avsyankin, Oleg Gennadievich, and Alisa Markovna Koval’chuk. "Multiplicative Discrete Convolution Operators with Complex Conjugate Operator." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 2 (2016): 17–21. http://dx.doi.org/10.18522/0321-3005-2016-2-17-21.

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Gulsen, Tuba, Sertac Goktas, Thabet Abdeljawad, and Yusuf Gurefe. "Sturm-Liouville problem in multiplicative fractional calculus." AIMS Mathematics 9, no. 8 (2024): 22794–812. http://dx.doi.org/10.3934/math.20241109.

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<p>Multiplicative calculus, or geometric calculus, is an alternative to classical calculus that relies on division and multiplication as opposed to addition and subtraction, which are the basic operations of classical calculus. It offers a geometric interpretation that is especially helpful for simulating systems that degrade or expand exponentially. Multiplicative calculus may be extended to fractional orders, much as classical calculus, which enables the analysis of systems having fractional scaling properties. So, in this paper, the well-known Sturm-Liouville problem in fractional cal
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XU, YEJUN, and HUIMIN WANG. "POWER GEOMETRIC OPERATORS FOR GROUP DECISION MAKING UNDER MULTIPLICATIVE LINGUISTIC PREFERENCE RELATIONS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20, no. 01 (2012): 139–59. http://dx.doi.org/10.1142/s0218488512500079.

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The aim of this paper is to develop some new linguistic aggregation operators, such as linguistic power geometric (LPG) operator, linguistic weighted PG operator, LPOWG operator which are based on PG operator. We have studied some desired properties of the developed operators, such as commutativity, idempotency, boundary, etc. Moreover, we have developed two approaches to deal with group decision making problems under multiplicative linguistic preference relations. If the weighting vector of the decision makers is known, we develop an approach which is based on the linguistic weighted PG opera
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Lu, Fangyan. "Multiplicative mappings of operator algebras." Linear Algebra and its Applications 347, no. 1-3 (2002): 283–91. http://dx.doi.org/10.1016/s0024-3795(01)00560-2.

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Gong, Zhiwei, Jian Lin, and Ling Weng. "A Novel Approach for Multiplicative Linguistic Group Decision Making Based on Symmetrical Linguistic Chi-Square Deviation and VIKOR Method." Symmetry 14, no. 1 (2022): 136. http://dx.doi.org/10.3390/sym14010136.

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Most linguistic-based approaches to multi-attribute group decision making (MAGDM) use symmetric, uniformly distributed sets of additive linguistic terms to express the opinions of decision makers. However, in reality, there are also some problems that require the use of asymmetric, uneven, i.e., non-equilibrium, multiplicative linguistic term sets to express the evaluation. The purpose of this paper is to propose a new approach to MAGDM under multiplicative linguistic information. The aggregation of linguistic data is an important component in MAGDM. To solve this problem, we define a chi-squa
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Thaheem, A. B., and A. R. Khan. "On some properties of Banach operators. II." International Journal of Mathematics and Mathematical Sciences 2004, no. 47 (2004): 2513–15. http://dx.doi.org/10.1155/s0161171204309233.

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Using the notion of a Banach operator, wehave obtained a decompositional property of aHilbert space, and the equality of two invertible boundedlinear multiplicative operators on a normed algebra with identity.
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Dragomir, Sever S. "Multiplicative inequalities for weighted arithmetic and harmonic operator means." Acta Universitatis Sapientiae, Mathematica 11, no. 1 (2019): 54–65. http://dx.doi.org/10.2478/ausm-2019-0005.

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Abstract In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.
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Hebestreit, Fabian, and Steffen Sagave. "Homotopical and operator algebraic twisted K-theory." Mathematische Annalen 378, no. 3-4 (2020): 1021–59. http://dx.doi.org/10.1007/s00208-020-02066-6.

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Abstract Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical and operator algebraic constructions of twisted K-theory, both in the real and complex case. We also improve several comparison results about twisted K-theory of $$C^*$$ C ∗ -algebras to include multiplicative structures. Our results can also be interpreted in the $$\infty $$ ∞ -categorical setup for parametrized spectra.
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Kluvánek, Igor. "Scalar operators and integration." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 45, no. 3 (1988): 401–20. http://dx.doi.org/10.1017/s1446788700031116.

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AbstractThe notion of a scalar operator on a Banach space, in the sense of N. Dunford, is widened so as to cover those operators which can be approximated in the operator norm by linear combinations of disjoint values of an additive and multiplicative operator valued set function, P, on an algebra of sets in a space Ω such that P(Ω) = I, subject to some conditions guaranteeing that this definition is unambiguous. An operator T turns out to be scalar in this sense, if and only if, there exists a (not necessarily bounded) Boolean algebra of bounded projections such that the Banach algebra of ope
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Dissertations / Theses on the topic "Multiplicative operator"

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Früchtl, Felix Benedikt [Verfasser], Rupert [Akademischer Betreuer] [Gutachter] Lasser, László [Gutachter] Székelyhidi, and Herbert [Gutachter] Heyer. "Sturm-Liouville Operator Functions : A General Concept of Multiplicative Operator Functions on Hypergroups / Felix Benedikt Früchtl. Betreuer: Rupert Lasser. Gutachter: László Székelyhidi ; Herbert Heyer ; Rupert Lasser." München : Universitätsbibliothek der TU München, 2016. http://d-nb.info/1103135228/34.

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Fleischer, G. "Multiplication operators and its ill-posedness properties." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801292.

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This paper deals with the characterization of multiplication operators, especially with its behavior in the ill-posed case. We want to classify the different types and degrees of ill-posedness. We give some connections between this classification and regularization methods.
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Santos, Pedro. "Approximation Methods for Convolution Operators on the Real Line." Doctoral thesis, Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500362.

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This work is concerned with the applicability of several approximation methods (finite section method, Galerkin and collocation methods with maximum defect splines for uniform and non uniform meshes) to operators belonging to the closed subalgebra generated by operators of multiplication bz piecewise continuous functions and convolution operators also with piecewise continuous generating function.
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Mangan, M. Clare. "Choice of operation in multiplication and division word problems." Thesis, Queen's University Belfast, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.254212.

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Hofmann, B., and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Convolution and Multiplication Operators." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800987.

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In this paper we deal with the `strength' of ill-posedness for ill-posed linear operator equations Ax = y in Hilbert spaces, where we distinguish according_to_M. Z. Nashed [15] the ill-posedness of type I if A is not compact, but we have R(A) 6= R(A) for the range R(A) of A; and the ill-posedness of type II for compact operators A: From our considerations it seems to follow that the problems with noncompact operators A are not in general `less' ill-posed than the problems with compact operators. We motivate this statement by comparing the approximation and stability behaviour of discrete leas
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Freitag, Melina. "On the Influence of Multiplication Operators on the Ill-posedness of Inverse Problems." Master's thesis, Universitätsbibliothek Chemnitz, 2004. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401504.

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In this thesis we deal with the degree of ill-posedness of linear operator equations in Hilbert spaces, where the operator may be decomposed into a compact linear integral operator with a well-known decay rate of singular values and a multiplication operator. This case occurs for example for nonlinear operator equations, where the local degree of ill-posedness is investigated via the Frechet derivative. If the multiplier function has got zeroes, the determination of the local degree of ill-posedness is not trivial. We are going to investigate this situation, provide analytical tools as well as
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Hofmann, Bernd. "On multiplication operators occurring in inverse problems of natural sciences and stochastic finance." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501261.

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We deal with locally ill-posed nonlinear operator equations F(x) = y in L^2(0,1), where the Fréchet derivatives A = F'(x_0) of the nonlinear forward operator F are compact linear integral operators A = M ◦ J with a multiplication operator M with integrable multiplier function m and with the simple integration operator J. In particular, we give examples of nonlinear inverse problems in natural sciences and stochastic finance that can be written in such a form with linearizations that contain multiplication operators. Moreover, we consider the corresponding ill-posed linear operator equations Ax
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Kydyrmina, Nurgul. "Operators in Sobolev Morrey spaces." Doctoral thesis, Università degli studi di Padova, 2013. http://hdl.handle.net/11577/3423455.

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Morrey spaces were introduced by Charles Morrey in 1938. They are a useful tool in the regularity theory of partial differential equations, in real analysis and in mathematical physics. In the nineties of the XX century an active study of general Morrey-type spaces characterized by a functional parameter has started to develop. A number of results on boundedness of classical operators in general Morrey-type spaces were obtained. At the beginning of the XXI century there were new active developments in this area. In the last decade many mathematicians do research on smoothness spaces rel
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Seceleanu, Irina. "Hypercyclic Operators and their Orbital Limit Points." Bowling Green State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1280934433.

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Rambane, Daniel Thanyani. "Operators defined by conditional expectations and random measures / Daniel Thanyani Rambane." Thesis, North-West University, 2004. http://hdl.handle.net/10394/282.

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This study revolves around operators defined by conditional expectations and operators generated by random measures. Studies of operators in function spaces defined by conditional expectations first appeared in the mid 1950's by S-T.C. Moy [22] and S. Sidak [26]. N. Kalton studied them in the setting of Lp-spaces 0 < p < 1 in [15, 131 and in L1-spaces, [14], while W. Arveson [5] studied them in L2-spaces. Their averaging properties were studied by P.G. Dodds and C.B. Huijsmans and B. de Pagter in [7] and C.B. Huijsmans and B. de Pagter in [lo]. A. Lambert [17] studied their relationship with m
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Books on the topic "Multiplicative operator"

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Schappacher, Norbert. Periods of Hecke characters. Springer-Verlag, 1988.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6.

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Kokk, Arne. Joint spectral theory and extension of non-trivial multiplicative linear functionals. Tartu University Press, 1995.

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An invitation to quantum groups and duality: From Hopf algebras to multiplicative unitaries and beyond. European Mathematical Society, 2008.

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Operation Multiplication (Operation Multiplication, 12 session Discipler Equipping Guide). International Evangelism Association, 2003.

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Schappacher, Norbert. Periods of Hecke Characters. Springer London, Limited, 2006.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer London, Limited, 2015.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer, 2015.

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Hanks, Billie, and Randy Craig. Operacion Multiplicacion / Operation Multiplication (Discipulado Cristiano). Casa Bautista de Publicaciones, 2000.

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Hanks, Billie, and Randy Craig. Operacion Multiplicacion / Operation Multiplication (Discipulado Cristiano). Casa Bautista de Publicaciones, 2000.

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Book chapters on the topic "Multiplicative operator"

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Swishchuk, Anatoly. "Multiplicative Operator Functionals." In Random Evolutions and Their Applications. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5754-4_2.

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Ginzburg, Yu P., and L. V. Shevchuk. "On the Potapov Theory of Multiplicative Representations." In Matrix and Operator Valued Functions. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8532-4_3.

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Kribs, David W., Jeremy Levick, Rajesh Pereira, and Mizanur Rahaman. "Entanglement Breaking Rank Via Complementary Channels and Multiplicative Domains." In Operator Theory: Advances and Applications. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-38020-4_8.

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Holbrook, John, and Jean-Pierre Schoch. "Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices." In Topics in Operator Theory. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0158-0_14.

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Thorn, Nicola. "Bounded multiplicative Toeplitz operators on sequence spaces." In The Diversity and Beauty of Applied Operator Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75996-8_26.

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Kiran, Shashi, and Ajit Iqbal Singh. "Role of James like spaces in multiplicative linear functionals on operator algebras." In Functional Analysis and Operator Theory. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0093810.

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Najman, B., and K. Veselić. "Multiplicative perturbations of positive operators in Krein spaces." In Contributions to Operator Theory in Spaces with an Indefinite Metric. Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8812-7_18.

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Tarasenko, Anna. "The Multiplicative and Spectral Structure of Analytic Operator-Valued Functions." In Factorization, Singular Operators and Related Problems. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0227-0_20.

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van der Mee, Cornelis V. M., and André C. M. Ran. "Additive and Multiplicative Perturbations of Exponentially Dichotomous Operators on General Banach Spaces." In Recent Advances in Operator Theory and its Applications. Birkhäuser Basel, 2005. http://dx.doi.org/10.1007/3-7643-7398-9_21.

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Swishchuk, Anatoly. "Analogue of Dynkin’s Formula (ADF) for Multiplicative Operator Functionals (MOF), RE and SES." In Random Evolutions and their Applications. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9598-8_5.

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Conference papers on the topic "Multiplicative operator"

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Ikeda, Kohei, Mitsumasa Nakajima, Shota Kita, Akihiko Shinya, Masaya Notomi, and Toshikazu Hashimoto. "High-Fidelity WDM-Compatible Photonic Processor for Matrix-Matrix Multiplication." In CLEO: Applications and Technology. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_at.2024.jth2a.87.

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We experimentally demonstrate an 8 × 8 MZI-mesh photonic processor using silica-based waveguide technology. An accurate implementation of unitary matrices with high fidelity &gt;0.96 over C-band was achieved, enabling matrix-matrix operation using wavelength multiplexing.
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Ghosh, Rajib Ratan, Danqing Liu, and Weiming Yao. "A novel reconfigurable multimode interference coupler for photonic vector-matrix multiplication operation using liquid crystal tuning." In 2024 IEEE Photonics Conference (IPC). IEEE, 2024. https://doi.org/10.1109/ipc60965.2024.10799915.

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Kalybay, Aigerim A., and Saltanat Shalginbayeva. "Weighted multiplicative estimate for norm of discrete Hardy operator." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959719.

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Pang, Yimin, and Thomas Honold. "Towards the capacity region of multiplicative linear operator broadcast channels." In 2011 IEEE Information Theory Workshop (ITW). IEEE, 2011. http://dx.doi.org/10.1109/itw.2011.6089588.

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Chen, Huayou, Bing Han, Xi Liu, and Xianjun Guan. "On equivalence of two approaches to group decision making with interval multiplicative preference relation based on COWG operator." In 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2016. http://dx.doi.org/10.1109/fuzz-ieee.2016.7737917.

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"INVARIANT OF MULTIPLICATION NONLINEAR OPERATORS." In Уфимская осенняя математическая школа - 2022. 2 часть. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh2t-2022-09-28.27.

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YE, SHANLI. "MULTIPLICATION OPERATORS IN THE α-BLOCH SPACES". У Proceedings of the 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773159_0032.

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Giesbrecht, Mark, Qiao-Long Huang, and Éric Schost. "Sparse Multiplication of Multivariate Linear Differential Operators." In ISSAC '21: International Symposium on Symbolic and Algebraic Computation. ACM, 2021. http://dx.doi.org/10.1145/3452143.3465527.

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Benoit, Alexandre, Alin Bostan, and Joris van der Hoeven. "Quasi-optimal Multiplication of Linear Differential Operators." In 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2012. http://dx.doi.org/10.1109/focs.2012.57.

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POPA, GABRIELA, and AUREL I. STAN. "REPRESENTING THE QUANTUM OPERATORS IN TERMS OF MULTIPLICATION AND DIFFERENTIATION OPERATORS." In International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP38. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811275999_0018.

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Reports on the topic "Multiplicative operator"

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Vioreanu, B., and V. Rokhlin. Spectra of Multiplication Operators as a Numerical Tool. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555151.

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Latané, Annah, Jean-Michel Voisard, and Alice Olive Brower. Senegal Farmer Networks Respond to COVID-19. RTI Press, 2021. http://dx.doi.org/10.3768/rtipress.2021.rr.0045.2106.

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This study leveraged existing data infrastructure and relationships from the Feed the Future Senegal Naatal Mbay (“flourishing agriculture”) project, funded by the US Agency for International Development (USAID) and implemented by RTI International from 2015 to 2019. The research informed and empowered farmer organizations to track and respond to rural households in 2020 as they faced the COVID-19 pandemic. Farmer organizations, with support from RTI and local ICT firm STATINFO, administered a survey to a sample of 800 agricultural households that are members of four former Naatal Mbay–support
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Coplin, David L., Shulamit Manulis, and Isaac Barash. roles Hrp-dependent effector proteins and hrp gene regulation as determinants of virulence and host-specificity in Erwinia stewartii and E. herbicola pvs. gypsophilae and betae. United States Department of Agriculture, 2005. http://dx.doi.org/10.32747/2005.7587216.bard.

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Gram-negative plant pathogenic bacteria employ specialized type-III secretion systems (TTSS) to deliver an arsenal of pathogenicity proteins directly into host cells. These secretion systems are encoded by hrp genes (for hypersensitive response and pathogenicity) and the effector proteins by so-called dsp or avr genes. The functions of effectors are to enable bacterial multiplication by damaging host cells and/or by blocking host defenses. We characterized essential hrp gene clusters in the Stewart's Wilt of maize pathogen, Pantoea stewartii subsp. stewartii (Pnss; formerly Erwinia stewartii)
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