Academic literature on the topic 'Complex Functions'

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Journal articles on the topic "Complex Functions"

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Girg, Petr, and Lukáš Kotrla. "Generalized trigonometric functions in complex domain." Mathematica Bohemica 140, no. 2 (2015): 223–39. http://dx.doi.org/10.21136/mb.2015.144328.

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Abdul-Kadir, Fryad H. "Some properties of Fundamental Complex functions." Journal of Zankoy Sulaimani - Part A 12, no. 1 (2009): 77–83. http://dx.doi.org/10.17656/jzs.10197.

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Xie, Yonghong, Heju Yang, and Yuying Qiao. "Complexk-hypermonogenic functions in complex Clifford analysis." Complex Variables and Elliptic Equations 58, no. 10 (2013): 1467–79. http://dx.doi.org/10.1080/17476933.2012.686496.

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Marmi, Stefano, Pierre Moussa, and Jean-Christophe Yoccoz. "Complex Brjuno functions." Journal of the American Mathematical Society 14, no. 4 (2001): 783–841. http://dx.doi.org/10.1090/s0894-0347-01-00371-x.

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Apolloni, Bruno, Simone Bassis, Sabrina Gaito, and Dario Malchiodi. "Bootstrapping complex functions." Nonlinear Analysis: Hybrid Systems 2, no. 2 (2008): 648–64. http://dx.doi.org/10.1016/j.nahs.2006.12.003.

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Schneiter, Roger, and Charles N. Cole. "Integrating complex functions." Nucleus 1, no. 5 (2010): 387–92. http://dx.doi.org/10.4161/nucl.1.5.12333.

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Samorì, P., F. Cacialli, H. L. Anderson, and A. E. Rowan. "Towards Complex Functions from Complex Materials." Advanced Materials 18, no. 10 (2006): 1235–38. http://dx.doi.org/10.1002/adma.200600601.

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Baker, Henry G. "Less complex elementary functions." ACM SIGPLAN Notices 27, no. 11 (1992): 15–16. http://dx.doi.org/10.1145/141018.141022.

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Breda, Ana Maria D’azevedo, and José Manuel Dos Santos Dos Santos. "Complex functions with GeoGebra." Teaching Mathematics and its Applications 35, no. 2 (2016): 102–10. http://dx.doi.org/10.1093/teamat/hrw010.

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Jung, Frank. "Reliably Testing Complex Functions." ATZ worldwide 125, no. 1 (2022): 16–17. http://dx.doi.org/10.1007/s38311-022-1447-x.

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Dissertations / Theses on the topic "Complex Functions"

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Sadykov, Timour. "Hypergeometric functions in several complex variables." Doctoral thesis, Stockholm : Univ, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-198.

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Hoffmann, Mark. "Topics in complex analysis and function spaces /." free to MU campus, to others for purchase, 2003. http://wwwlib.umi.com/cr/mo/fullcit?p3091931.

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Chaisee, Kuntalee. "Exploring complex loss functions for point estimation." Thesis, University of Bath, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.665424.

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This thesis presents several aspects of simulation-based point estimation in the context of Bayesian decision theory. The first part of the thesis (Chapters 4 - 5) concerns the estimation-then-minimisation (ETM) method as an efficient computational approach to compute simulation-based Bayes estimates. We are interested in applying the ETM method to compute Bayes estimates under some non-standard loss functions. However, for some loss functions, the ETM method cannot be implemented straightforwardly. We examine the ETM method via Taylor approximations and cubic spline interpolations for Bayes e
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Cordiner, Ross Andrew Alex. "The cellular functions of the microprocessor complex." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/25877.

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DGCR8 (DiGeorge critical region 8) protein constitutes part of the Microprocessor complex together with Drosha, and is involved in the nuclear phase of microRNA (miRNA) biogenesis. DGCR8 recognises the hairpin RNA substrates of precursor miRNAs through two double-stranded RNA (dsRNA) binding motifs and acts as a molecular anchor to direct Drosha cleavage at the base of the pri-miRNA hairpin. Recent characterisation of the RNA targets of the Microprocessor by HITSCLIP of DGCR8 protein revealed that this complex also binds and regulates the stability of several types of transcripts, including mR
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Li, Lun Doyle John Comstock Doyle John Comstock Low Steven H. "Topologies of complex networks : functions and structures /." Diss., Pasadena, Calif. : California Institute of Technology, 2007. http://resolver.caltech.edu/CaltechETD:etd-05282007-223415.

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Menolfi, D. "ESSENTIAL POSTREPLICATIVE FUNCTIONS OF THE SMC5/6 COMPLEX." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/264411.

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The structural maintenance of chromosomes (SMC) complex Smc5/6 is based on a heterodimer of two SMC subunits, Smc5 and Smc6, and six non-Smc element subunits, Nse1-6, all of which are essential for cell viability in most organisms. Smc5/6 safeguards genome integrity via different mechanisms, including stabilization of stalled replication forks, resolution of recombination intermediates, and maintenance of nucleolar integrity. However, the essential functions of Smc5/6 remain elusive. The aim of the present work was to understand when in the cell cycle the crucial functions of Smc5/6 are manife
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Braun, H. T. F. "Model theory of holomorphic functions." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401108.

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This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on those for a Zariski geometry, defining a non-first-order class of ``quasi-Zariski'' structures endowed wi
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Simmons, David. "Random Iteration of Rational Functions." Thesis, University of North Texas, 2012. https://digital.library.unt.edu/ark:/67531/metadc115157/.

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It is a theorem of Denker and Urbański that if T:ℂ→ℂ is a rational map of degree at least two and if ϕ:ℂ→ℝ is Hölder continuous and satisfies the “thermodynamic expanding” condition P(T,ϕ) > sup(ϕ), then there exists exactly one equilibrium state μ for T and ϕ, and furthermore (ℂ,T,μ) is metrically exact. We extend these results to the case of a holomorphic random dynamical system on ℂ, using the concepts of relative pressure and relative entropy of such a system, and the variational principle of Bogenschütz. Specifically, if (T,Ω,P,θ) is a holomorphic random dynamical system on ℂ and ϕ:Ω→ ℋα(
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Mercer, Nathan T. "Quasiconformal mappings in the complex plane." Virtual Press, 2006. http://liblink.bsu.edu/uhtbin/catkey/1348866.

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It is well known that, as a consequence of the Identity Theorem, we cannot "glue" together two analytic functions to create a new globally analytic function. In this paper we will both introduce and investigate special homeomorphisms, called quasiconformal maps, that are generalizations of the well known conformal maps. We will show that quasiconformal maps make this "gluing," up to conjugation, possible. Quasiconformal maps are a valuable tool in the field of complex dynamics. We will see how quasiconformal maps of infinitesimal circles have an image of an infinitesimal ellipse. Although quas
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黃永儀 and Wing-yee Simon Wong. "Construction of plurisubharmonic functions on complete Kähler manifolds." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31223709.

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Books on the topic "Complex Functions"

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Wegert, Elias. Visual Complex Functions. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0180-5.

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Bak, Joseph. Complex analysis. 2nd ed. Springer, 1997.

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Beals, Richard, and Roderick S. C. Wong. Explorations in Complex Functions. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54533-8.

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Remmert, Reinhold. Theory of Complex Functions. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0939-3.

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1951-, Krantz Steven G., ed. Function theory of one complex variable. Wiley, 1997.

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1951-, Krantz Steven G., ed. Function theory of one complex variable. 2nd ed. American Mathematical Society, 2002.

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1951-, Krantz Steven G., ed. Function theory of one complex variable. 3rd ed. American Mathematical Society, 2006.

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Gunning, R. C. Analytic functions of several complex variables. AMS Chelsea Pub., 2009.

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Gunning, R. C. Analytic functions of several complex variables. AMS Chelsea Pub., 2009.

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Gunning, R. C. Analytic functions of several complex variables. AMS Chelsea Pub., 2009.

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Book chapters on the topic "Complex Functions"

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Stalker, John. "Special Functions." In Complex Analysis. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4919-7_1.

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Stalker, John. "Analytic Functions." In Complex Analysis. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4919-7_2.

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Freitag, Eberhard, and Rolf Busam. "Elliptic Functions." In Complex Analysis. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-93983-2_6.

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Krantz, Steven G. "Harmonic Functions." In Complex Variables. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429275166-13.

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Mel’nyk, Taras. "Analytic Functions." In Complex Analysis. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-39615-1_2.

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Shima, Hiroyuki, and Tsuneyoshi Nakayama. "Complex Functions." In Higher Mathematics for Physics and Engineering. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/b138494_7.

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Marin, Marin, and Andreas Öchsner. "Complex Functions." In Complements of Higher Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74684-5_1.

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Pap, Endre. "Complex functions." In Complex Analysis through Examples and Exercises. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-1106-7_3.

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Shingareva, Inna, and Carlos Lizárraga-Celaya. "Complex Functions." In Maple and Mathematica. Springer Vienna, 2009. http://dx.doi.org/10.1007/978-3-211-99432-0_8.

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Agarwal, Ravi P., Kanishka Perera, and Sandra Pinelas. "Complex Functions." In An Introduction to Complex Analysis. Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-0195-7_5.

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Conference papers on the topic "Complex Functions"

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Proppe, Andrew H., Kyle M. Jordan, Benjamin J. Sussman, and Jeff S. Lundeen. "Molecular Complex Dieletric Functions via Spectrally-Resolved Hong-Ou-Mandel Interference." In CLEO: Fundamental Science. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.fm3r.1.

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We present results on the use of spectrally-resolved Hong-Ou-Mandel interference for use in precision spectroscopy. Our scheme allows for simultaneous measurement of a sample’s absorption and phase spectra while reducing the effects of shot noise.
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Miani, Stefano, and Carlo Savorgnan. "Complex polytopic control Lyapunov functions." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377752.

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Henmi, Masayuki, and Hiroshi Matsuzoe. "Geometry of Pre-contrast Functions and Non-conservative Estimating Functions." In INTERNATIONAL WORKSHOP ON COMPLEX STRUCTURES, INTEGRABILITY AND VECTOR FIELDS. AIP, 2011. http://dx.doi.org/10.1063/1.3567122.

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Toyoda, T. "Exact Relations for Quantum Many-Body Correlation Functions." In SLOW DYNAMICS IN COMPLEX SYSTEMS: 3rd International Symposium on Slow Dynamics in Complex Systems. AIP, 2004. http://dx.doi.org/10.1063/1.1764293.

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Westin, Stephen H., James R. Arvo, and Kenneth E. Torrance. "Predicting reflectance functions from complex surfaces." In the 19th annual conference. ACM Press, 1992. http://dx.doi.org/10.1145/133994.134075.

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QIU, GANGDI. "MEROMORPHIC FUNCTIONS THAT SHARE FOUR SMALL FUNCTIONS." In 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_0021.

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Gemar, H., R. Rezvani Naraghi, M. Batarseh, et al. "Efficient Measurement of Nonstationary Complex Coherence Functions." In Frontiers in Optics. OSA, 2017. http://dx.doi.org/10.1364/fio.2017.fth3d.2.

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Omar, A. A., and Y. L. Chow. "Complex image Green's functions for coplanar waveguides." In IEEE Antennas and Propagation Society International Symposium 1992 Digest. IEEE, 1992. http://dx.doi.org/10.1109/aps.1992.221604.

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Stenzel, Kurt, Kuzman Katkalov, Marian Borek, and Wolfgang Reif. "Declassification of Information with Complex Filter Functions." In 2nd International Conference on Information Systems Security and Privacy. SCITEPRESS - Science and and Technology Publications, 2016. http://dx.doi.org/10.5220/0005782904900497.

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Al-Muhammed, Muhammed Jassem, and Raed Abu Zitar. "Random-guided search algorithm for complex functions." In 2017 10th Jordanian International Electrical and Electronics Engineering Conference (JIEEEC). IEEE, 2017. http://dx.doi.org/10.1109/jieeec.2017.8051412.

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Reports on the topic "Complex Functions"

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Goldstein, Marvin J. Computation of Complex Airy Functions. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada630527.

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Cody, W. J. CELEFUNT: A portable test package for complex elementary functions. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/6310253.

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Wang, Qiming, Bonita Saunders, and Sandy Ressler. Dissemination of 3D visualizations of complex function data for the NIST digital library of mathematical functions. National Institute of Standards and Technology, 2007. http://dx.doi.org/10.6028/nist.ir.7397.

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Nuttall, Albert H. Two-Dimensional Convolutions, Correlations, and Fourier Transforms of Combinations of Wigner Distribution Functions and Complex Ambiguity Functions. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada226852.

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Paneva-Konovska, Jordanka. Series in Le Roy Type Functions: Theorems in the Complex Plane. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2021. http://dx.doi.org/10.7546/crabs.2021.03.02.

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Fowler, Bryce, and Lynn Rogers. A New Approach to Temperature Shift Functions in Modeling Complex Modulus Damping Data. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada451554.

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Cohn, Robert W. Encoding of Complex Valued Composite Functions onto Spatial Light Modulators in Real-Time. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada389304.

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Wilson, D., Vladimir Ostashev, and Chris Pettit. Distribution of the two-point product of complex amplitudes in the fully saturated scattering regime. Engineer Research and Development Center (U.S.), 2020. http://dx.doi.org/10.21079/11681/38701.

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This Letter considers probability density functions (pdfs) involving products of the complex amplitudes observed at two points (which may, in general, involve separations in space, time, or frequency) in conditions of fully saturated scattering. First, the pdf is derived for the product of the complex amplitude at one point with the conjugate of the complex amplitude at another point. It is shown that the real and imaginary parts of this product each have a variance gamma pdf. Second, expressions are derived for several joint pdfs involving complex amplitude products and powers at two points.
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Wilson, D., Daniel Breton, Lauren Waldrop, et al. Signal propagation modeling in complex, three-dimensional environments. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40321.

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The Signal Physics Representation in Uncertain and Complex Environments (SPRUCE) work unit, part of the U.S. Army Engineer Research and Development Center (ERDC) Army Terrestrial-Environmental Modeling and Intelligence System (ARTEMIS) work package, focused on the creation of a suite of three-dimensional (3D) signal and sensor performance modeling capabilities that realistically capture propagation physics in urban, mountainous, forested, and other complex terrain environments. This report describes many of the developed technical capabilities. Particular highlights are (1) creation of a Java
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Rogers, Lynn C., and Bryce Fowler. Smoothing, Interpolating, and Modeling Complex Modulus Data for Viscoelastic Damping Materials, Including a New Approach to Temperature Shift Functions. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada428334.

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