Relevant bibliographies by topics / Dixon resultant

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Dixon resultant'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Dixon resultant"

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Lewis, Robert H. "Heuristics to accelerate the Dixon resultant." Mathematics and Computers in Simulation 77, no. 4 (2008): 400–407. http://dx.doi.org/10.1016/j.matcom.2007.04.007.

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Qin, Xiaolin, Dingxiong Wu, Lin Tang, and Zhenyi Ji. "Complexity of constructing Dixon resultant matrix." International Journal of Computer Mathematics 94, no. 10 (2017): 2074–88. http://dx.doi.org/10.1080/00207160.2016.1276572.

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Sun, Wei Kun. "Solving 3-6 Parallel Robots by Dixon Resultant." Applied Mechanics and Materials 235 (November 2012): 158–63. http://dx.doi.org/10.4028/www.scientific.net/amm.235.158.

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In this paper, we investigated the forward kinematic problem of the 3-6 parallel robots (Stewart platform) via a symbolic computation tool called Dixon resultant. 3-6 parallel robot is a variation of the classic 6-6 Stewart platform. First we constructed the system equations of 3-6 parallel robots with a certain coordinate system, and then gave the necessary and sufficient condition for the existence of roots of this system by resultant. With the expression of resultant, we could find the solution of the original system and determined the position of mobile platform. We also discussed how to d
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Foo, Mao-Ching, and Eng-Wee Chionh. "Corner edge cutting and Dixon A-resultant quotients." Journal of Symbolic Computation 37, no. 1 (2004): 101–19. http://dx.doi.org/10.1016/j.jsc.2003.06.001.

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Chtcherba, Arthur D., and Deepak Kapur. "Constructing Sylvester-type resultant matrices using the Dixon formulation." Journal of Symbolic Computation 38, no. 1 (2004): 777–814. http://dx.doi.org/10.1016/j.jsc.2003.11.003.

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Chionh, Eng-Wee, Ming Zhang, and Ronald N. Goldman. "Fast Computation of the Bezout and Dixon Resultant Matrices." Journal of Symbolic Computation 33, no. 1 (2002): 13–29. http://dx.doi.org/10.1006/jsco.2001.0462.

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ZHAO, Shizhong. "An extended fast algorithm for constructing the Dixon resultant matrix." Science in China Series A 48, no. 1 (2005): 131. http://dx.doi.org/10.1360/04ys0166.

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Qin, Xiaolin, Lu Yang, Yong Feng, Bernhard Bachmann, and Peter Fritzson. "Index reduction of differential algebraic equations by differential Dixon resultant." Applied Mathematics and Computation 328 (July 2018): 189–202. http://dx.doi.org/10.1016/j.amc.2017.12.029.

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Lewis, Robert H., Béla Paláncz, and Joseph Awange. "Solving geoinformatics parametric polynomial systems using the improved Dixon resultant." Earth Science Informatics 12, no. 2 (2018): 229–39. http://dx.doi.org/10.1007/s12145-018-0366-2.

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Paláncz, B. "Application of Dixon resultant to satellite trajectory control by pole placement." Journal of Symbolic Computation 50 (March 2013): 79–99. http://dx.doi.org/10.1016/j.jsc.2012.05.007.

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Dissertations / Theses on the topic "Dixon resultant"

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(9435722), Pavankumar Vaitheeswaran. "Interface Balance Laws, Growth Conditions and Explicit Interface Modeling Using Algebraic Level Sets for Multiphase Solids with Inhomogeneous Surface Stress." Thesis, 2020.

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Interface balance laws are derived to describe transport across a phase interface. This is used to derive generalized conditions for phase nucleation and growth, valid even for solids with inhomogeneous surface stress.<div><br></div><div>An explicit interface tracking approach called Enriched Isogeometric Analysis (EIGA) is used to simulate phase evolution. Algebraic level sets are used as a measure of distance and for point projection, both necessary operations in EIGA. Algebraic level sets are observed to often fail for surfaces. Rectification measures are developed to make algebraic level s
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Book chapters on the topic "Dixon resultant"

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Chtcherba, Arthur D., Deepak Kapur, and Manfred Minimair. "Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials." In Computer Algebra in Scientific Computing. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11555964_11.

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Minimair, Manfred. "Computing the Dixon Resultant with the Maple Package DR." In Applications of Computer Algebra. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56932-1_19.

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Kapur, Deepak. "Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets." In Automated Deduction in Geometry. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0022716.

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Foo, Mao-Ching, and Eng-Wee Chionh. "DIXON $\mathcal{A}$-RESULTANT QUOTIENTS FOR 6-POINT ISOSCELES TRIANGULAR CORNER CUTTING." In Lecture Notes Series on Computing. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812794833_0013.

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Taber, Douglass F. "The Dixon Synthesis of (-)-Nakadomarin A." In Organic Synthesis. Oxford University Press, 2013. http://dx.doi.org/10.1093/oso/9780199965724.003.0087.

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(-)-Nakadomarin A 4, isolated from the sponge Amphimedon sp. off the coast of Okinawa, shows interesting antifungal and antibacterial activity. The key step in the total synthesis of 4 reported (J. Am. Chem. Soc. 2009, 131, 16632) by Darren J. Dixon of the University of Oxford was the diastereoselective addition of the enantiomerically pure ester 1 to the prochiral nitroalkene 2. The assembly of 2 began with the linchpin ketophosphonate 5. Alkylation of the dianion of 5 with allyl bromide followed by direct condensation of the resulting monoanion with the diacetate 6 gave 7. On exposure to aqueous acid, 7 cyclized to the furan. Oxidation of the liberated primary alcohol followed by condensation with nitromethane then completed the preparation of 2. The starting material for the synthesis of 1 was the enantiomerically pure pyroglutamate derivative 8. Sulfide displacement followed by N-alkylation with the bromide 10 delivered 11 . Oxidation followed by deprotection then set the stage for the intramolecular Julia-Kocienski cyclization, which gave 12 with the expected (eight-membered ring) high geometric control. Addition of the ester 1 to Michael acceptors proceeded across the open face of the lactam, but it was still necessary to control the face of the nitro alkene 2 to which the lactam anion added. Catalysis of the addition with the urea 13 delivered 3 with 10:1 diasterocontrol. Mannich condensation of the nitroalkane 3 with formaldehyde and the amine 14 gave the bis-lactam 15, conveniently as a single diastereomer. After free radical removal of the nitro group, it was necessary to achieve selective reduction of the δ-lactam in the presence of the γ-lactam. Low-temperature LiAlH4 was found to be effective. Direct reduction of the resulting hemiaminal with formic acid led to the monolactam 16. The hemiaminal from monoreduction of 16 was found to be unstable and sensitive to overreduction. Nevertheless, exposure of 16 to Dibal at low temperature followed by acid-mediated cyclization delivered the diamine 17. Cyclization of the free base of 17 with the first generation Grubbs catalyst gave (-)-nakadomarin A 4 as the minor component of a 40:60 Z/E mixture. Carrying out the cyclization on the camphorsulfonate salt improved the ratio to 63:37 Z/E.
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Evans, Hugh L. "Cognitive and Behavioral Manifestations of Lead." In Cognitive and Behavioral Abnormalities of Pediatric Diseases. Oxford University Press, 2010. http://dx.doi.org/10.1093/oso/9780195342680.003.0071.

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The link between exposure to lead and children’s cognitive problems was implied in the earliest medical reports of frank lead poisoning of young children in Australia in the 1800s (Lin-Fu 1992). Children with acute severe toxicity of lead (Pb) are now rarely seen in the United States. However, millions of children may have subclinical neurobehavioral disorders associated with chronic low-level exposure to lead, representing a major public health concern (Bellinger 2008a). Lead is a nonessential metal that is recognized as a source of toxic exposure, with the developing nervous system particularly vulnerable. Because of this, U.S. regulations limiting the lead content of gasoline and household paint have led to a gradual reduction of the average blood lead concentration of Americans over the last three decades. Average blood lead levels of children in the United States dropped an estimated 78% from 1976 to 1991 (Brody et al. 1994; Caldwell et al. 2009). Despite these reductions in exposure to lead, new advances in research techniques have documented harmful consequences associated with lower blood lead levels. This raises the possibility that there is no threshold for occurrence of lead-induced toxicity. Bellinger (2008a) refers to “the silent pandemic of neurodevelopmental disorders resulting from children’s continuing exposure to low levels of lead.” The developing brain may be more sensitive to exposure to lead than the adult. Since the pioneering work of Needleman and colleagues (1979), a large scientific literature has documented the deleterious effects of pre- and neonatal exposure to lead. Decrements in IQ scores have proven to be among the most sensitive and consistent consequences of a child’s exposure to lead, but other cognitive and behavioral changes have been described as well, including attention-deficit hyperactivity disorder (ADHD). Among the important current sources of children’s exposure to lead is household dust (Dixon et al. 2009) the lead content in old water pipes, batteries, and from contamination by numerous industrial processes. Pre and postnatal exposure to cigarette smoke is a cofactor with lead exposure in children’s conduct disorders (Braun et al. 2008). Diagnosis of lead-induced disorders involves the determination of exposure to lead and the atomic absorption assay of lead in whole blood.
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Conference papers on the topic "Dixon resultant"

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Kapur, Deepak, and Tushar Saxena. "Extraneous factors in the Dixon resultant formulation." In the 1997 international symposium. ACM Press, 1997. http://dx.doi.org/10.1145/258726.258768.

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Guo Rongxiang. "Distributed computation of dixon resultant with changeable arguments." In 2009 International Conference on Apperceiving Computing and Intelligence Analysis (ICACIA 2009). IEEE, 2009. http://dx.doi.org/10.1109/icacia.2009.5361113.

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Yuan, Xun, Jingzhong Zhang, and Yong Feng. "Computing the Dixon Derived Polynomial by Combination Resultant Method." In 2010 International Conference on Computational and Information Sciences (ICCIS). IEEE, 2010. http://dx.doi.org/10.1109/iccis.2010.169.

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Kovacs, Laura, Bela Palancz, and Levente Kovacs. "Solving Robust Glucose-Insulin Control by Dixon Resultant Computations." In 2012 14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2012. http://dx.doi.org/10.1109/synasc.2012.54.

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FOO, MAO-CHING, and ENG-WEE CHIONH. "CORNER POINT PASTING AND DIXON ${\mathcal A}$-RESULTANT QUOTIENTS." In Proceedings of the Sixth Asian Symposium (ASCM 2003). WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704436_0010.

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Chtcherba, Arthur D., and Deepak Kapur. "On the efficiency and optimality of Dixon-based resultant methods." In the 2002 international symposium. ACM Press, 2002. http://dx.doi.org/10.1145/780506.780511.

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Yong Feng and Yaohui Li. "Checking RSC criteria for extended Dixon resultant by interpolation method." In Seventh International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'05). IEEE, 2005. http://dx.doi.org/10.1109/synasc.2005.25.

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Zhao, Zhiyong, Tao Wang, and Dongqing Wang. "Inverse kinematic analysis of the general 6R serial manipulators based on unit dual quaternion and Dixon resultant." In 2017 Chinese Automation Congress (CAC). IEEE, 2017. http://dx.doi.org/10.1109/cac.2017.8243223.

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Nielsen, James, and Bernard Roth. "Solving the Input/Output Problem for Planar Mechanisms." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5912.

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Abstract This paper presents a method for solving the input/output problem for all planar mechanisms composed of revolute joints. The solution procedure is a modification of the Dixon resultant method, which was developed to solve sets of polynomial equations; in this paper the method is applied to sets of equations which are linear in the sines and cosines of unknown angles. A particular planar multi-circuit mechanism is analyzed to illustrate the solution procedure, and implementation details are discussed.
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Gan, Dongming, Jian S. Dai, Jorge Dias, and Lakmal D. Seneviratne. "Unified Kinematics Analysis and Analytic Singularity-Free Workspace of a Metamorphic Parallel Mechanism With Controllable Rotation Center." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34164.

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This paper presents a metamorphic parallel mechanism with controllable rotation center in its pure rotation topology. Based on reconfiguration of a reconfigurable Hooke (rT) joint, the rotational center of the mechanism can be altered along the central line perpendicular to the base plane. A unified Dixon resultant based method is proposed to solve the forward kinematics analytically by covering all configurations with variable rotation centers while the rotation motion is expressed using Cayley formula. Then singularity loci are derived and represented in a new coordinate system with the thre
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