Relevant bibliographies by topics / Gauss

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Gauss'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 October 2024

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Journal articles on the topic "Gauss"

1

Breslaw, Jon A. "GAUSSX: An integrated environment for GAUSS." Computer Science in Economics and Management 4, no. 1 (February 1991): 65–74. http://dx.doi.org/10.1007/bf00426856.

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Podivinsky, Jan M. "GAUSS 2.0, GAUSS 386 AND GAUSS VM." Economic Journal 101, no. 408 (September 1991): 1319. http://dx.doi.org/10.2307/2234461.

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Gautschi, Walter. "Generalized Gauss?Radau and Gauss?Lobatto Formulae." BIT Numerical Mathematics 44, no. 4 (December 2004): 711–20. http://dx.doi.org/10.1007/s10543-004-3812-0.

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Reichel, Lothar, Miodrag Spalevic, and Jelena Tomanovic. "Rational averaged gauss quadrature rules." Filomat 34, no. 2 (2020): 379–89. http://dx.doi.org/10.2298/fil2002379r.

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It is important to be able to estimate the quadrature error in Gauss rules. Several approaches have been developed, including the evaluation of associated Gauss-Kronrod rules (if they exist), or the associated averaged Gauss and generalized averaged Gauss rules. Integrals with certain integrands can be approximated more accurately by rational Gauss rules than by Gauss rules. This paper introduces associated rational averaged Gauss rules and rational generalized averaged Gauss rules, which can be used to estimate the error in rational Gauss rules. Also rational Gauss-Kronrod rules are discussed. Computed examples illustrate the accuracy of the error estimates determined by these quadrature rules.
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Saunders, Judith. "Picturing Gauss." Mathematical Intelligencer 34, no. 1 (December 17, 2011): 5. http://dx.doi.org/10.1007/s00283-011-9263-y.

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Zhelobenko, D. P. "Gauss Algebras." Acta Applicandae Mathematicae 81, no. 1 (March 2004): 347–54. http://dx.doi.org/10.1023/b:acap.0000024210.97996.63.

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Calvetti, Daniela, and Lothar Reichel. "Symmetric Gauss–Lobatto and Modified Anti-Gauss Rules." BIT Numerical Mathematics 43, no. 3 (September 2003): 541–54. http://dx.doi.org/10.1023/b:bitn.0000007053.03860.c0.

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Bandres, Miguel A., and Julio C. Gutiérrez-Vega. "Vector Helmholtz–Gauss and vector Laplace–Gauss beams." Optics Letters 30, no. 16 (August 15, 2005): 2155. http://dx.doi.org/10.1364/ol.30.002155.

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Darmawan, Randhi N. "Perbandingan Metode Gauss- Legendre, Gauss-Lobatto, dan Gauss-Kronrod pada Integrasi Numerik Fungsi Eksponensial." JMPM: Jurnal Matematika dan Pendidikan Matematika 1, no. 2 (September 1, 2016): 99. http://dx.doi.org/10.26594/jmpm.v1i2.596.

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Herman, R. M., and T. A. Wiggins. "Propagation and focusing of Bessel–Gauss, generalized Bessel–Gauss, and modified Bessel–Gauss beams." Journal of the Optical Society of America A 18, no. 1 (January 1, 2001): 170. http://dx.doi.org/10.1364/josaa.18.000170.

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Dissertations / Theses on the topic "Gauss"

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Broersma, Heather Ann. "Gauss-Bonnet formula." CSUSB ScholarWorks, 2006. https://scholarworks.lib.csusb.edu/etd-project/3044.

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From fundamental forms to curvatures and geodesics, differential geometry has many special theorems and applications worth examining. Among these, the Gauss-Bonnet Theorem is one of the well-known theorems in classical differential geometry. It links geometrical and topological properties of a surface. The thesis introduced some basic concepts in differential geometry, explained them with examples, analyzed the Gauss-Bonnet Theorem and presented the proof of the theorem in greater detail. The thesis also considered applications of the Gauss-Bonnet theorem to some special surfaces.
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Tang, Tunan. "Extensions of Gauss, block Gauss, and Szego quadrature rules, with applications." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1460403903.

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Simonis, Joseph P. "Newton-Picard Gauss-Seidel." Link to electronic thesis, 2004. http://www.wpi.edu/Pubs/ETD/Available/etd-051305-162036/unrestricted/simonis.pdf.

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Simonis, Joseph P. "Newton-Picard Gauss-Seidel." Digital WPI, 2005. https://digitalcommons.wpi.edu/etd-dissertations/285.

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Newton-Picard methods are iterative methods that work well for computing roots of nonlinear equations within a continuation framework. This project presents one of these methods and includes the results of a computation involving the Brusselator problem performed by an implementation of the method. This work was done in collaboration with Andrew Salinger at Sandia National Laboratories.
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Botteghi, Stefano. "Il teorema di Gauss-Bonnet." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/14674/.

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La tesi tratta del teorema di Gauss-Bonnet per superfici astratte.L'elaborato ha come finalità la dimostrazione di tale teorema, sia da un punto di vista locale, sia da un punto di vista globale. Il teorema di Gauss-Bonnet locale studia curve chiuse in un intorno coordinato di una superficie differenziabile orientata qualsiasi, mettendo in relazione la curvatura gaussiana della superficie, la curvatura geodetica della curva e la somma degli angoli nei punti di singolarità della curva. Globalmente invece il teorema esprime una relazione tra l'integrale della curvatura gaussiana rispetto all'elemento d'area della superficie e una costante topologica detta caratteristica di Eulero. Per raggiungere tali risultati affronteremo lo studio di concetti quali la connessione, il fibrato tangente e il fibrato vettoriale. Vedremo in particolare come introdurre una struttura di fibrato vettoriale in rette complesse sul fibrato tangente di una superficie orientata, e useremo abbondantemente nella dimostrazione questo strumento.
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Fogli, Filippo. "Il Teorema di Gauss-Bonnet." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20917/.

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Il Teorema di Gauss-Bonnet è probabilmente uno dei teoremi più profondi della geometria differenziale delle superfici. Una prima versione di questo teorema è stata presentata da Gauss in un suo famoso saggio. L'estensione del teorema a una regione limitata da una curva semplice non geodetica è dovuta a O.Bonnet, e da qui il nome di Teorema di Gauss-Bonnet. Per generalizzarlo ulteriormente alle superfici compatte occorre parlare di triangolazioni e di caratteristica di Eulero-Poincaré di una superficie compatta. Questo teorema ha notevoli applicazioni allo studio delle geodetiche e dei campi di vettori sulla superficie.
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Wu, Wei. "Paving the Randomized Gauss-Seidel." Scholarship @ Claremont, 2017. http://scholarship.claremont.edu/scripps_theses/1074.

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The Randomized Gauss-Seidel Method (RGS) is an iterative algorithm that solves overdetermined systems of linear equations Ax = b. This paper studies an update on the RGS method, the Randomized Block Gauss-Seidel Method. At each step, the algorithm greedily minimizes the objective function L(x) = kAx bk2 with respect to a subset of coordinates. This paper describes a Randomized Block Gauss-Seidel Method (RBGS) which uses a randomized control method to choose a subset at each step. This algorithm is the first block RGS method with an expected linear convergence rate which can be described by the properties of the matrix A and its column submatrices. The analysis demonstrates that RBGS improves RGS more when given appropriate column-paving of the matrix, a partition of the columns into well-conditioned blocks. The main result yields a RBGS method that is more e cient than the simple RGS method.
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Ragnoli, Alessia. "Il problema del cerchio di Gauss." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2020.

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Il problema del cerchio di Gauss è uno dei più noti problemi di teoria dei numeri che fornisce una stima del numero di punti interi contenuti in un cerchio. Questo elaborato si pone come obiettivo lo studio, da un punto di vista analitico, di tale risultato a partire dalla prova del Teorema di Dirichlet e del Teorema di Gauss, che forniscono una stima, per n grande, della media aritmetica di due particolari funzioni: la funzione di Dirichlet d(n), che associa ad n il numero dei suoi divisori positivi e r(n), che indica il numero di modi di scrivere n come somma di due quadrati. La ricerca di risultati migliori porta, rispettivamente, al problema dei divisori di Dirichlet e al problema del cerchio di Gauss. Tra questi, soltanto il secondo verrà analizzato dettagliatamente nel resto del lavoro e tramite il Teorema di Hardy-Landau si otterrà la stima ritenuta la più precisa fino ad oggi.
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Wölk, Sabine [Verfasser]. "Factorization with Gauss sums / Sabine Wölk." München : Verlag Dr. Hut, 2011. http://d-nb.info/1015605028/34.

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Lindström, Eva-Karin. "Gauss – Matematiken för 200 år sedan." Thesis, Mittuniversitetet, Avdelningen för ämnesdidaktik och matematik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-24951.

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Det här arbetet behandlar en del av Carl Friedrich Gauss livsverk. En historisk bakgrund om vetenskap ges från Euklides Elementa och om vetenskap från 1500–1800-talet. En inblick i Gauss barndom och ungdom samt hans liv och skolning,och vidare hans universitetstid beskrivs där fokus läggs på en 17-sidors regelbunden månghörning Gauss konstruerade utifrån Euklides teorier i Elementa. Gauss doktorsavhandling om Algebrans fundamentalsats från 1799 och dess bevis gås igenom. Därefter följer en beskrivning om Gauss matematiska teorier inom komplex analysoch hans geometriska tolkning om det komplexa talplanet; Talteorin – verket Aritmetiska Undersökningar och dess sju kapitel diskuteras. Numerisk matematik och astronomiska beräkningar beskrivs som minsta kvadratmetoden och statistik. Vidare behandlas nåagra viktiga resultat Gauss kom fram till om differentialgeometri och därefter beskrivs den icke-euklidiska geometrin som uppstod på 1800-talet. Teorin om vektorfältanalys, divergenssatsen behandlas och tilläampas. Med fokus på matematik beskrivs Gauss arbete med tillämpningar och teorier inom fysik, astronomi ochgeodesi samt kristallografi.
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Books on the topic "Gauss"

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Dunnington, Waldo, and Jeremy Gray. Gauss. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/spec/041.

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Bühler, Walter K. Gauss. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2.

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Baumann-Glavočić, Daina. Ladislao de Gauss. Rijeka: Biblioteka Društva povjesničara umjetnosti Rijeke, Istre i Hrvatskog primorja, 2010.

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Tasker, Stephen. The Gauss factor. Lewes: Book Guild, 1997.

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Inc, Aptech Systems. GAUSS user guide. Maple Valley, WA: Aptech Systems, 2001.

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West, Krista. Carl Friedrich Gauss. Greensboro, N.C: Morgan Reynolds Pub., 2008.

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Iwasaki, Katsunori, Hironobu Kimura, Shun Shimomura, and Masaaki Yoshida. From Gauss to Painlevé. Wiesbaden: Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-90163-7.

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Lelgemann, Dieter. Gauss und die Messkunst. [Darmstadt]: Primus, 2011.

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J, Evans Ronald, and Williams Kenneth S, eds. Gauss and Jacobi sums. New York: Wiley, 1998.

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Valhondo, José Luis. La Campana de Gauss. [Badajoz]: Diputación de Badajoz. Departamento de Publicaciones, 1999.

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Book chapters on the topic "Gauss"

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Bühler, Walter K. "Einführung." In Gauss, 1–3. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_1.

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Bühler, Walter K. "Die politische Situation in Deutschland zwischen 1789 und 1848." In Gauss, 54–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_10.

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Bühler, Walter K. "Familienleben. Der Umzug nach Göttingen." In Gauss, 57–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_11.

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Bühler, Walter K. "Tod der Johanna Gauß, zweite Ehe und die ersten Jahre als Professor in Göttingen." In Gauss, 62–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_12.

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Bühler, Walter K. "Sektion VII der Disqu. Arithm." In Gauss, 69–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_13.

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Bühler, Walter K. "Gauß’ Stil." In Gauss, 76–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_14.

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Bühler, Walter K. "Das astronomische Werk. Elliptische Funktionen." In Gauss, 80–87. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_15.

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Bühler, Walter K. "Modulformen. Die hypergeometrische Funktion." In Gauss, 88–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_16.

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Bühler, Walter K. "Landvermessung und Geometrie." In Gauss, 92–106. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_17.

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Bühler, Walter K. "Vom Ruf nach Berlin bis zum Ende der zweiten Ehe." In Gauss, 107–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2_18.

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Conference papers on the topic "Gauss"

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Prokopeva, Ludmila J., Colton Fruhling, Chen Qian, Bo Zhen, and Alexander V. Kildishev. "Inhomogeneous Broadening in Time Domain Solvers: Gauss-Lorentz, Gauss-Drude, and Gauss-Debye Models." In CLEO: Fundamental Science, FTu4R.4. Washington, D.C.: Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.ftu4r.4.

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We develop a systematic approach to introduce inhomogeneous broadening in the Lorentz/Drude/Debye models. Implementation in the time/frequency domains uses minimax semi-analytical approximation. Applications include simulations of the systems with plasma and multilevel carrier kinetics.
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Derek Tucker, J., and Nick Klausner. "Compressive sensing for Gauss-Gauss detection." In 2011 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2011. http://dx.doi.org/10.1109/icsmc.2011.6084184.

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Dwork, Cynthia, Kunal Talwar, Abhradeep Thakurta, and Li Zhang. "Analyze gauss." In STOC '14: Symposium on Theory of Computing. New York, NY, USA: ACM, 2014. http://dx.doi.org/10.1145/2591796.2591883.

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Aguirre-Olivas, Dilia, Gabriel Mellado-Villaseñor, Victor Arrizón, and Sabino Chávez-Cerda. "Self-healing of Hermite-Gauss and Ince-Gauss beams." In SPIE Optical Engineering + Applications, edited by Andrew Forbes and Todd E. Lizotte. SPIE, 2015. http://dx.doi.org/10.1117/12.2187293.

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Yu, Yanzhong, and Wenbin Dou. "Bessel-Gauss resonator." In 2010 International Conference on Microwave and Millimeter Wave Technology (ICMMT). IEEE, 2010. http://dx.doi.org/10.1109/icmmt.2010.5524925.

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Mercado, R. I. "Superachromatic Gauss objectives." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.mz1.

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In an earlier paper1 simple criteria for color correction were derived from the dispersion formulas of Hartmann, Cauchy, Schmidt, Conrady, and Buchdahl. These criteria were used to develop a simple method for selecting optical materials that can be used for designing lens systems with color correction for at least three wavelengths. Glass combinations found by this method have been used to design superachromatic objectives of the Gauss type that are well corrected for monochromatic aberrations and color corrected at four widely separated wavelengths in a spectral band extending from the visible to the near infrared regions of the electromagnetic spectrum. The design configurations of objectives comprising six lens elements made of two different optical glasses and design examples using three glass types are presented. The performance evaluation of these designs at relative apertures of F/4 (12° field) and F/5 (20° field) is shown.
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Plachenov, Alexandr B., and Galina N. Dyakova. "Quadratic Helmholtz–Gauss beams." In 2019 Days on Diffraction (DD). IEEE, 2019. http://dx.doi.org/10.1109/dd46733.2019.9016581.

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Hong-Jie Xing and Bao-Gang Hu. "Gauss-Chebyshev neural networks." In Proceedings of 2005 International Conference on Machine Learning and Cybernetics. IEEE, 2005. http://dx.doi.org/10.1109/icmlc.2005.1527657.

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Rogel-Salazar, J., G. H. C. New, Peter F. Muys, Julio C. Gutierrez-Vega, and Sabino Chavez-Cerda. "Bessel-Gauss laser resonators." In Photonics West 2001 - LASE, edited by Alexis V. Kudryashov and Alan H. Paxton. SPIE, 2001. http://dx.doi.org/10.1117/12.424678.

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MISKOVIC, OLIVERA, and LIGEIA ARANGUIZ. "GAUSS-BONNET HOLOGRAPHIC SUPERCONDUCTORS." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0192.

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Reports on the topic "Gauss"

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Culwick B. B. Gauss Clock, Gauss Line and Magnet Integration. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/1150590.

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Taylor, Fred J. The Gauss Machine. Fort Belvoir, VA: Defense Technical Information Center, November 1994. http://dx.doi.org/10.21236/ada302294.

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Greengard, L., and J. Strain. The Fast Gauss Transform. Fort Belvoir, VA: Defense Technical Information Center, July 1989. http://dx.doi.org/10.21236/ada211287.

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Juang, F., and C. W. Gear. Accuracy increase in waveform Gauss Seidel. Office of Scientific and Technical Information (OSTI), June 1989. http://dx.doi.org/10.2172/5977080.

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Culwick B. B. BACKUP OF THE BOOSTER GAUSS CLOCK. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/1150588.

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López Hernández, Lina Shirley. Sistemas de ecuaciones: método de Gauss. Ediciones Universidad Cooperativa de Colombia, November 2022. http://dx.doi.org/10.16925/gcnc.26.

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Esta nota de clase se desarrolla en el marco del curso de álgebra lineal. En esta se resolverá un ejercicio de contexto, modelado por un sistema de ecuaciones mxn y resuelto por el método de Gauss. Debido al impacto negativo que tuvo la pandemia en los procesos de enseñanza-aprendizaje en todos los niveles educativos, se hace necesario hacer énfasis en conceptos previos, tales como: ecuación, ecuaciones lineales, modelación de ecuaciones lineales, entre otros. Lo anterior con el fin de que el estudiante logre establecer una ilación entre el concepto de ecuación y la resolución de sistemas por el método planteado. El procedimiento matemático se evidenciará paso a paso, se validará en una segunda nota, usando el método de determinantes y este a su vez se validará usando el programa de Microsoft Excel. Se toma como último validador este programa debido a que es una herramienta de fácil uso y que se encuentra al alcance de los estudiantes. Sumado a que es un software de uso común en el ámbito laboral, independientemente del campo de acción. Al final de la nota, se proponen una serie de ejercicios de contexto para que el estudiante afiance los conceptos, los procedimientos, el análisis y la interpretación de la información. Dado que el procedimiento matemático es casi un paso a paso, la interpretación de la información es inherente a cada situación.
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Culwick B. B. ABSOLUTE CALIBRATION of the BOOSTER GAUSS CLOCK. Office of Scientific and Technical Information (OSTI), November 1990. http://dx.doi.org/10.2172/1150564.

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Thompson, David C., Jeffrey N. Jortner, and Philippe Pierre Pebay. An Exodus II specification for handling gauss points. Office of Scientific and Technical Information (OSTI), November 2007. http://dx.doi.org/10.2172/926808.

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De Boor, C. Gauss Elimination by Segments and Multivariate Polynomial Interpolation. Fort Belvoir, VA: Defense Technical Information Center, April 1994. http://dx.doi.org/10.21236/ada278646.

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Ahrens, Leif. The AGS Ggamma Meter and Calibrating the Gauss Clock. Office of Scientific and Technical Information (OSTI), March 2014. http://dx.doi.org/10.2172/1130444.

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