Academic literature on the topic 'Residue computation'

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Journal articles on the topic "Residue computation"

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Weilert, A. "Fast Computation of the Biquadratic Residue Symbol." Journal of Number Theory 96, no. 1 (2002): 133–51. http://dx.doi.org/10.1016/s0022-314x(02)92783-6.

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Weilert, André. "Fast Computation of the Biquadratic Residue Symbol." Journal of Number Theory 96, no. 1 (2002): 133–51. http://dx.doi.org/10.1006/jnth.2002.2783.

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Kinoshita, E., and Ki-Ja Lee. "A residue arithmetic extension for reliable scientific computation." IEEE Transactions on Computers 46, no. 2 (1997): 129–38. http://dx.doi.org/10.1109/12.565587.

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Murthy, C. Srinivasa, and K. Sridevi. "FPGA Implementation of high speed-low energy RNS based Reconfigurable-FIR Filter for Cognitive Radio Applications." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 16 (May 26, 2021): 278–93. http://dx.doi.org/10.37394/23203.2021.16.24.

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The Finite impulse response (FIR) filter is prominently employed in many digital signal processing (DSP) systems for various applications. In this paper, we present a high-performance RNS based FIR filter design for filtration in SDR applications. In general, the residue number system (RNS) gives significant metrics over FIR implementation with its inherent parallelism and data partitioning mechanism. But with increased bit width cause considerable performance trade-off due to both residue computation and reverse conversion. In this paper optimized Residue Number System (RNS) arithmetic is pro
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Inoue, Shutaro, Kohei Mukaida, Akira Suzuki, and Yosuke Sato. "Computation of inverses in residue class rings with parameters." ACM Communications in Computer Algebra 42, no. 3 (2009): 140–41. http://dx.doi.org/10.1145/1504347.1504357.

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Johnson, Quentin R., Richard J. Lindsay, and Tongye Shen. "CAMERRA: An analysis tool for the computation of conformational dynamics by evaluating residue-residue associations." Journal of Computational Chemistry 39, no. 20 (2018): 1568–78. http://dx.doi.org/10.1002/jcc.25192.

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Cascudo, Ignacio, and Reto Schnyder. "A note on secure multiparty computation via higher residue symbols." Journal of Mathematical Cryptology 15, no. 1 (2021): 284–97. http://dx.doi.org/10.1515/jmc-2020-0013.

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Abstract We generalize a protocol by Yu for comparing two integers with relatively small difference in a secure multiparty computation setting. Yu's protocol is based on the Legendre symbol. A prime number p is found for which the Legendre symbol (· | p) agrees with the sign function for integers in a certain range {−N, . . . , N} ⊂ ℤ. This can then be computed efficiently. We generalize this idea to higher residue symbols in cyclotomic rings ℤ[ζr ] for r a small odd prime. We present a way to determine a prime number p such that the r-th residue symbol (· | p) r agrees with a desired function
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Abrarov, Sanjar M., and Brendan M. Quine. "A Rational Approximation for Efficient Computation of the Voigt Function in Quantitative Spectroscopy." Journal of Mathematics Research 7, no. 2 (2015): 163. http://dx.doi.org/10.5539/jmr.v7n2p163.

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We present a rational approximation for rapid and accurate computation of the Voigt function, obtained by sampling and residue calculus. The computational test reveals that with only $16$ summation terms this approximation provides average accuracy ${10^{ - 14}}$ over a wide domain of practical interest $0 < x < 40,000$ and ${10^{ - 4}} < y < {10^2}$ for applications using the HITRAN molecular spectroscopic database. The proposed rational approximation takes less than half the computation time of that required by Weideman\text{'}s rational approximation. Algorithmic
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Isupov, Konstantin. "High-Performance Computation in Residue Number System Using Floating-Point Arithmetic." Computation 9, no. 2 (2021): 9. http://dx.doi.org/10.3390/computation9020009.

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Residue number system (RNS) is known for its parallel arithmetic and has been used in recent decades in various important applications, from digital signal processing and deep neural networks to cryptography and high-precision computation. However, comparison, sign identification, overflow detection, and division are still hard to implement in RNS. For such operations, most of the methods proposed in the literature only support small dynamic ranges (up to several tens of bits), so they are only suitable for low-precision applications. We recently proposed a method that supports arbitrary modul
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Li, Yao, George Eichmann, Roger Dorsinville, and R. R. Alfano. "Demonstration of a picosecond optical-phase-conjugation-based residue-arithmetic computation." Optics Letters 13, no. 2 (1988): 178. http://dx.doi.org/10.1364/ol.13.000178.

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Dissertations / Theses on the topic "Residue computation"

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Geitner, Gert-Helge. "Z-Transformation auf Basis des Residuensatzes." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-115780.

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Die Z-Transformation ist ein wichtiges Werkzeug für diskontinuierliche Regelungen. Ein wenig beachteter Transformationsweg führt über die Berechnung von Residuen. Alle wichtigen Besonderheiten wie Mehrfachpole, Sprungfähigkeit, komplexe Pole oder Zeitverschiebung unterhalb der Abtastzeit (modifizierte Z-Transformation) können einbezogen werden. Die Vorgabe von Reihenabbruchkriterien oder das Auffinden von Summenformeln ist nicht notwendig. Der Weg ist prinzipiell für manuelle und maschinelle Berechnungen einsetzbar. Die Vorgehensweise wird durch drei ausführliche Beispiele verdeutlicht<br>The
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Geitner, Gert-Helge. "Z-Transformation auf Basis des Residuensatzes: Prof. Dr.-Ing. habil. Dr.-Ing. E.h. R. Schönfeld zum 65. Geburtstag." Technische Universität Dresden, 1999. https://tud.qucosa.de/id/qucosa%3A25896.

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Die Z-Transformation ist ein wichtiges Werkzeug für diskontinuierliche Regelungen. Ein wenig beachteter Transformationsweg führt über die Berechnung von Residuen. Alle wichtigen Besonderheiten wie Mehrfachpole, Sprungfähigkeit, komplexe Pole oder Zeitverschiebung unterhalb der Abtastzeit (modifizierte Z-Transformation) können einbezogen werden. Die Vorgabe von Reihenabbruchkriterien oder das Auffinden von Summenformeln ist nicht notwendig. Der Weg ist prinzipiell für manuelle und maschinelle Berechnungen einsetzbar. Die Vorgehensweise wird durch drei ausführliche Beispiele verdeutlicht.<br>The
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Kopřiva, Jan. "Semi - analytické výpočty a spojitá simulace." Doctoral thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2014. http://www.nusl.cz/ntk/nusl-261241.

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The thesis deals with speedup and accuracy of numerical computation, especially when differential equations are solved. Algorithms, which are fulling these conditions are named semi-analytical. One posibility how to accelerate computation of differential equation is paralelization. Presented paralelization is based on transformation numerical solution into residue number system, which is extended to floating point computation. A new algorithm for modulo multiplication is also proposed. As application applications in solution of differential calculus are the main goal it is discussed numeric in
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Phillips, Tyrone. "Residual-based Discretization Error Estimation for Computational Fluid Dynamics." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/50647.

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The largest and most difficult numerical approximation error to estimate is discretization error. Residual-based discretization error estimation methods are a category of error estimators that use an estimate of the source of discretization error and information about the specific application to estimate the discretization error using only one grid level. The higher-order terms are truncated from the discretized equations and are the local source of discretization error. The accuracy of the resulting discretization error estimate depends solely on the accuracy of the estimated truncation error
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Garicano, Mena Jesus. "On the computation of heat flux in hypersonic flows using residual distribution schemes." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209174.

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In this dissertation the heat flux prediction capabilities of Residual Distribution (RD) schemes for hypersonic flow fields are investigated. Two canonical configurations are considered: the flat plate and the blunt body (cylinder) problems, with a preference for the last one. Both simple perfect gas and more complex thermo-chemical non-equilibrium (TCNEQ) thermodynamic models have been considered.<p><p>The unexpected results identified early in the investigation lead to a thorough analysis to identify the causes of the unphysical hypersonic heating.<p><p>The first step taken is the assessment
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Nakatani, Tomohiro. "Computational Auditory Scene Analysis Based on Residue-driven Architecture and Its Application to Mixed Speech Recognition." 京都大学 (Kyoto University), 2002. http://hdl.handle.net/2433/149754.

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Dubey, Anshul. "Search and Analysis of the Sequence Space of a Protein Using Computational Tools." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/14115.

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A new approach to the process of Directed Evolution is proposed, which utilizes different machine learning algorithms. Directed Evolution is a process of improving a protein for catalytic purposes by introducing random mutations in its sequence to create variants. Through these mutations, Directed Evolution explores the sequence space, which is defined as all the possible sequences for a given number of amino acids. Each variant sequence is divided into one of two classes, positive or negative, according to their activity or stability. By employing machine learning algorithms for feature selec
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Chan, Pedro. "A computational investigation of solubility, functionality and the adaptation in subcellular compartments of proteins." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/a-computational-investigation-of-solubility-functionality-and-the-adaptation-in-subcellular-compartments-of-proteins(29ba40c2-0e8b-459a-803b-529da885289a).html.

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A cell is considered to be the smallest unit of life. It carries out a variety of biochemical reactions through the activities of proteins and protein enzymes. In order to perform functions, proteins must be in their native folded state together with the correct environmental conditions. A slight change in pH or temperature could cause disruption to the electrostatic interactions within the protein, thus leading to conformational change and the loss of activity. Studies have shown that solubility could be enhanced by increasing the number of charges on the protein surface. And from the studies
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Michel, Mirco. "From Sequence to Structure : Using predicted residue contacts to facilitate template-free protein structure prediction." Doctoral thesis, Stockholms universitet, Institutionen för biokemi och biofysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-141946.

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Despite the fundamental role of experimental protein structure determination, computational methods are of essential importance to bridge the ever growing gap between available protein sequence and structure data. Common structure prediction methods rely on experimental data, which is not available for about half of the known protein families. Recent advancements in amino acid contact prediction have revolutionized the field of protein structure prediction. Contacts can be used to guide template-free structure predictions that do not rely on experimentally solved structures of homologous prote
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Ellison, Sara Fisher. "A nonparametric residual-based specification test : asymptotic, finite-sample, and computational properties." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/12697.

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Books on the topic "Residue computation"

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Saravanos, D. A. Optimal fabrication processes for unidirectional metal-matrix composites: A computational simulation. NASA, 1990.

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Mital, Subodh K. Fiber pushout test: A three-dimensional finite element computational simulation. NASA, 1990.

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Motives, quantum field theory, and pseudodifferential operators: Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. American Mathematical Society, 2010.

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Facility, Dryden Flight Research, ed. Inelastic strain analogy for p1ecewise linear computation of creep residues in built-up structures. National Aeronautics and Space Administration, Ames Research Center, Dryden Flight Research Facility, 1987.

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Gallistel, C. Randy. The Neurobiological Bases for the Computational Theory of Mind. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190464783.003.0013.

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The language of thought hypothesis is one of Fodor’s seminal contributions to cognitive science. Prominent among the objections to it has been the argument that there is no neurobiological evidence for materially realized symbols in the brain. If memory is materially realized by enduring alterations in synaptic conductances, then this is true, because the synaptic-conductance hypothesis is simply the ancient associative learning hypothesis couched in neurobiological language. Associations are not symbols and cannot readily be made to function as such, thus neurobiologists are unable to say how
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Bělohlávek, Radim, Joseph W. Dauben, and George J. Klir. Fuzzy Logic in the Narrow Sense. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190200015.003.0004.

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The chapter examines the various propositional and predicate many-valued logics that were studied prior to the emergence of the concept of a fuzzy set in the mid-1960s, which led to the genesis of fuzzy logic in broad and narrow senses. Early ideas regarding formal systems of fuzzy logic allowed for deduction from partially true premises to partially true consequences, as suggested first by Goguen in the 1960s and further developed by Pavelka in the 1970s, and these ideas were developed from the 1990s onward. The systematic development of fuzzy logics based on t-norms and their residua, pursue
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H, Starnes James, United States. National Aeronautics and Space Administration., and AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (1998 Long Beach, Calif.), eds. Effect of curvature on the impact damage characteritiscs and residual strength of composite plates: Presented at 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference : Long Beach, California, April 20-23, 1998. National Aeronautics and Space Administration, 1998.

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Allen, Colin, Peter M. Todd, and Jonathan M. Weinberg. Reasoning and Rationality. Edited by Eric Margolis, Richard Samuels, and Stephen P. Stich. Oxford University Press, 2012. http://dx.doi.org/10.1093/oxfordhb/9780195309799.013.0003.

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The article explores five parts of Cartesian thought that include individualism, internalism, rationalism, universalism, and human exceptionalism demonstrating the philosophical and psychological theories of rationality. Ecological rationality comes about through the coadaptation of minds and their environments. The internal bounds comprising the capacities of the cognitive system can be shaped by evolution, learning, or development to take advantage of the structure of the external environment. The external bounds, comprising the structure of information available in the environment, can be s
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Book chapters on the topic "Residue computation"

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Zippel, Richard. "Residue Rings." In Effective Polynomial Computation. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-3188-3_6.

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Chamorro, Alfonso E. Márquez, Federico Divina, Jesús S. Aguilar-Ruiz, and Gualberto Asencio Cortés. "Residue-Residue Contact Prediction Based on Evolutionary Computation." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19914-1_37.

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Esakia, Leo. "A Modal Transcription of the Hausdorff Residue." In Logic, Language, and Computation. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22303-7_4.

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Márquez-Chamorro, Alfonso E., Federico Divina, Jesús S. Aguilar-Ruiz, Jaume Bacardit, Gualberto Asencio-Cortés, and Cosme E. Santiesteban-Toca. "A NSGA-II Algorithm for the Residue-Residue Contact Prediction." In Evolutionary Computation, Machine Learning and Data Mining in Bioinformatics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29066-4_21.

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Arratia, Argimiro, and Carlos E. Ortiz. "First Order Extensions of Residue Classes and Uniform Circuit Complexity." In Logic, Language, Information, and Computation. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39992-3_8.

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Srinivas, Karkenahalli, and Clive A. J. Fletcher. "Weighted Residual Methods." In Scientific Computation. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-58108-3_4.

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Osinin, Ilya. "Residue Logarithmic Coprocessor for Mass Arithmetic Computations." In Communications in Computer and Information Science. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-05807-4_53.

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Alpay, Daniel. "Computations of Definite Integrals Using the Residue Theorem." In A Complex Analysis Problem Book. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0078-5_8.

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Alpay, Daniel. "Computations of Definite Integrals Using the Residue Theorem." In A Complex Analysis Problem Book. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42181-0_8.

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Ding, Steven X. "Norm-Based Residual Evaluation and Threshold Computation." In Model-Based Fault Diagnosis Techniques. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4799-2_9.

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Conference papers on the topic "Residue computation"

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Chang, C. C., Y. T. Kuo, and Y. P. Lai. "Parallel computation of residue number system." In Informatics (ICOCI). IEEE, 2006. http://dx.doi.org/10.1109/icoci.2006.5276434.

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Marquez-Chamorro, Alfonso E., Federico Divina, Jaume Bacardit, and Jesus S. Aguilar-Ruiz. "An efficient decision rule-based system for the protein residue-residue contact prediction." In 2013 IEEE Congress on Evolutionary Computation (CEC). IEEE, 2013. http://dx.doi.org/10.1109/cec.2013.6557622.

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Tsoutsos, Nektarios Georgios, and Michail Maniatakos. "Extending residue-based fault tolerance to encrypted computation." In 2015 IEEE International Test Conference (ITC). IEEE, 2015. http://dx.doi.org/10.1109/test.2015.7342419.

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Wei, Shugang. "Computation of modular multiplicative inverses using residue signed-digit additions." In 2016 International SoC Design Conference (ISOCC). IEEE, 2016. http://dx.doi.org/10.1109/isocc.2016.7799745.

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de Boer, Koen, and Carlo Pagano. "Calculating the Power Residue Symbol and Ibeta." In ISSAC '17: International Symposium on Symbolic and Algebraic Computation. ACM, 2017. http://dx.doi.org/10.1145/3087604.3087637.

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Sato, Yosuke, and Akira Suzuki. "Computation of inverses in residue class rings of parametric polynomial ideals." In the 2009 international symposium. ACM Press, 2009. http://dx.doi.org/10.1145/1576702.1576745.

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Babenko, M., E. Shiriaev, A. Tchernykh, and E. Golimblevskaia. "Neural network method for base extension in residue number system." In The International Workshop on Information, Computation, and Control Systems for Distributed Environments. Crossref, 2020. http://dx.doi.org/10.47350/iccs-de.2020.01.

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Confidential data security is associated with the cryptographic primitives, asymmetric encryption, elliptic curve cryptography, homomorphic encryption, cryptographic pseudorandom sequence generators based on an elliptic curve, etc. For their efficient implementation is often used Residue Number System that allows executing additions and multiplications on parallel computing channels without bit carrying between channels. A critical operation in Residue Number System implementations of asymmetric cryptosystems is base extension. It refers to the computing a residue in the extended moduli withou
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Athale, Ravindra A., Michael W. Haney, James J. Levy, and Gary W. Euliss. "Minimum-complexity optical architecture for look-up table computation in the residue number system." In Aerospace Sensing, edited by Shi-Kay Yao and Brian M. Hendrickson. SPIE, 1992. http://dx.doi.org/10.1117/12.138410.

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Yan, Long, Zhi-Sheng Xu, and Yong Liu. "Effect of Fire Residue Structure on Flame Retardancy of HIPS/Silica Nanocomposites." In 2014 7th International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2014. http://dx.doi.org/10.1109/icicta.2014.60.

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Fen, Dai, Hong Tiansheng, Zhang Kun, and Hong Ya. "Nondestructive Detection of Pesticide Residue on Longan Surface Based on Near Infrared Spectroscopy." In 2010 International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2010. http://dx.doi.org/10.1109/icicta.2010.477.

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