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21 results on '"Functions, Elliptic"'

1. Ultrasonic scattering by a fluid cylinder of elliptic cross section, including viscous effects

Author

Hasheminejad, Seyyed M. and Sanaei, R.

Subjects
Diffraction -- Analysis, Ultrasonics -- Analysis, Scattering, Radiation -- Methods, Functions, Elliptic, Business, Electronics, Electronics and electrical industries
Abstract

An analysis for diffraction of sound by a fluid cylinder of elliptic cross section suspended in a Newtonian (viscous) fluid medium is presented. The study offers insight into the influence of the cylinder's cross-sectional ellipticity in addition to the viscous fluid effects on acoustic scattering, which increases on increasing the frequency in both viscous and ideal fluid situations.

Published
2008

2. An exact formula for 'tooth-to-tooth' permeance

Author

Markovic, Miroslav, Jufer, Marcel, and Perriard, Yves

Subjects
Magnetic fields, Functions, Elliptic, Electromagnetism, Conformal mapping, Business, Electronics, Electronics and electrical industries
Abstract

We present a new, completely original exact method to determine the permeance between two opposing iron teeth. This configuration is important because it is often encountered in electrical machines and apparatus. The method is based on conformal mapping. The given 'tooth-to-tooth' configuration is mapped into a simpler one, in which the same permeance can be analytically determined. We derive an explicit formula for this permeance, and confirm our results using the finite-element method. Index Terms--Conformal mapping, elliptic functions, magnetic fields, permeance.

Published
2005

3. Ellipse-based principal component analysis for self-intersecting curve reconstruction from noisy point sets

Author

O. Ruiz, C. Cadavid, Carlos A. Vanegas, Universidad EAFIT. Departamento de Ingeniería Mecánica, and Laboratorio CAD/CAM/CAE

Subjects
Surface (mathematics), ANÁLISIS ESTOCÁSTICO, CURVAS PLANAS, Geometry, Ellipse, Topology, CORRELACIÓN (ESTADÍSTICA), Nube de puntos, Piecewise linear function, Manifolds (Mathematics), Intersection, Functions, Point (geometry), VARIEDADES (MATEMÁTICAS), Curves, Reconstrucción superficial, Mathematics, Mathematical analysis, Curves, plane, Tangent, Stochastic analysis, Computer Graphics and Computer-Aided Design, TOPOLOGÍA, Functions, elliptic, Transversal (combinatorics), COLECTORES (INGENIERÍA), Correlation (statistics), FUNCIONES ELÍPTICAS, plane, Computer Vision and Pattern Recognition, elliptic, Software, Surface reconstruction
Abstract

Surface reconstruction from cross cuts usually requires curve reconstruction from planar noisy point samples -- The output curves must form a possibly disconnected 1manifold for the surface reconstruction to proceed -- This article describes an implemented algorithm for the reconstruction of planar curves (1manifolds) out of noisy point samples of a sel-fintersecting or nearly sel-fintersecting planar curve C -- C:[a,b]⊂R→R is self-intersecting if C(u)=C(v), u≠v, u,v∈(a,b) (C(u) is the self-intersection point) -- We consider only transversal self-intersections, i.e. those for which the tangents of the intersecting branches at the intersection point do not coincide (C′(u)≠C′(v)) -- In the presence of noise, curves which self-intersect cannot be distinguished from curves which nearly sel fintersect -- Existing algorithms for curve reconstruction out of either noisy point samples or pixel data, do not produce a (possibly disconnected) Piecewise Linear 1manifold approaching the whole point sample -- The algorithm implemented in this work uses Principal Component Analysis (PCA) with elliptic support regions near the selfintersections -- The algorithm was successful in recovering contours out of noisy slice samples of a surface, for the Hand, Pelvis and Skull data sets -- As a test for the correctness of the obtained curves in the slice levels, they were input into an algorithm of surface reconstruction, leading to a reconstructed surface which reproduces the topological and geometrical properties of the original object -- The algorithm robustly reacts not only to statistical noncorrelation at the self-intersections(nonmanifold neighborhoods) but also to occasional high noise at the nonselfintersecting (1manifold) neighborhoods

Published
2010
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4. Ellipse-based Principal Component Analysis for Self-intersecting Curve Reconstruction from Noisy Point Sets

Author

Universidad EAFIT. Departamento de Ingeniería Mecánica, Laboratorio CAD/CAM/CAE, Ruíz, O., Vanegas, C., Cadavid, C., Universidad EAFIT. Departamento de Ingeniería Mecánica, Laboratorio CAD/CAM/CAE, Ruíz, O., Vanegas, C., and Cadavid, C.

Abstract

Surface reconstruction from cross cuts usually requires curve reconstruction from planar noisy point samples -- The output curves must form a possibly disconnected 1manifold for the surface reconstruction to proceed -- This article describes an implemented algorithm for the reconstruction of planar curves (1manifolds) out of noisy point samples of a sel-fintersecting or nearly sel-fintersecting planar curve C -- C:[a,b]⊂R→R is self-intersecting if C(u)=C(v), u≠v, u,v∈(a,b) (C(u) is the self-intersection point) -- We consider only transversal self-intersections, i.e. those for which the tangents of the intersecting branches at the intersection point do not coincide (C′(u)≠C′(v)) -- In the presence of noise, curves which self-intersect cannot be distinguished from curves which nearly sel fintersect -- Existing algorithms for curve reconstruction out of either noisy point samples or pixel data, do not produce a (possibly disconnected) Piecewise Linear 1manifold approaching the whole point sample -- The algorithm implemented in this work uses Principal Component Analysis (PCA) with elliptic support regions near the selfintersections -- The algorithm was successful in recovering contours out of noisy slice samples of a surface, for the Hand, Pelvis and Skull data sets -- As a test for the correctness of the obtained curves in the slice levels, they were input into an algorithm of surface reconstruction, leading to a reconstructed surface which reproduces the topological and geometrical properties of the original object -- The algorithm robustly reacts not only to statistical noncorrelation at the self-intersections(nonmanifold neighborhoods) but also to occasional high noise at the nonselfintersecting (1manifold) neighborhoods

Published
2016

5. Elliptic functions. An elementary text-book for students of mathematics, by Arthur L. Baker.

Author

Baker, Arthur Latham, Baker, Arthur Latham, 1853-1934., Baker, Arthur Latham, and Baker, Arthur Latham, 1853-1934.

Abstract

We have determined this item to be in the public domain according to US copyright law through information in the bibliographic record and/or US copyright renewal records. The digital version is available for all educational uses worldwide. Please contact HathiTrust staff at hathitrust-help@umich.edu with any questions about this item., Functions, Elliptic., (LCCN)04031822., (OCoLC)ocm02018425., Sdr-ia-srlf422757., QA343 .B16., QA343 .B167 e., Http://hdl.handle.net/2027/uc2.ark:/13960/t03x8591n.

Published
1890

6. Funktionentheoretische Vorlesungen. Neu hrsg. von Dr. Georg Faber.

Author

Burkhardt, Heinrich, Burkhardt, Heinrich, 1861-1914., Burkhardt, Heinrich, and Burkhardt, Heinrich, 1861-1914.

Abstract

2 v. in 3 diagrs. 23 cm., At head of title: Heinrich Burkhardt., Each volume has also individual t.p., I. Bd. I. Hft. Algebraische Analysis. 3., umgearbeitete Aufl. 1920.--I. Bd. 2. Hft. Einführung in die Theorie der analytischen Funktionen einer komplexen Veränderlichen. 5., umgearbeitete Aufl. 1921.--2. Bd. Elliptische Funktionen. 3., vollständig umgearbeitete Aufl. 1920., (Dlps) ACR1303.0001.001., (Lccallno) QA331 .B959 1920., Http://name.umdl.umich.edu/ACR1303.0001.001.

Published
1920

7. ¡Ľments de la tȟorie des fonctions elliptiques. Par Jules Tannery [et] Jules Molk.

Author

Tannery, Jules, Tannery, Jules, 1848-1910., Molk, Jules, joint author. 1857-1914., Hermite, Charles, 1822-1901., Tannery, Jules, Tannery, Jules, 1848-1910., Molk, Jules, joint author. 1857-1914., and Hermite, Charles, 1822-1901.

Abstract

4 v. diagrs. 26 cm., "Lettre de Ch. Hermite à M. Jules Tannery": v. 4, p. 282-303., T.I. Introduction. Calcul diff̌rentiel (1. ptie). 1893.--t. II. Calcul diff̌rentiel (2. ptie). 1896.--t. III. Calcul inťgral (1. ptie): Tȟor̈mes ǧňraux. Inversion. 1898.--t. IV. Calcul inťgral (2. ptie): Applications. 1902., Molk, Jules, joint author. 1857-1914., Hermite, Charles, 1822-1901., (Dlps) ACQ8996.0003.001., (Lccallno) QA343 .T167 e., Http://name.umdl.umich.edu/ACQ8996.0003.001.

Published
1893

9. Lehrbuch der Algebra, von Heinrich Weber.

Author

Weber, Heinrich, Weber, Heinrich, 1842-1913., Weber, Heinrich, and Weber, Heinrich, 1842-1913.

Abstract

3 v. diagrs. 23 cm., First edition in 2 vols., 1894-96., First edition of v. 3 published separately in 1891., 1. bd. Die grundlagen. Die wurzeln. Algebraische grössen.--2. bd. Gruppen. Lineare gruppen. Anwendungen der gruppentheorie. Algebraische zahlen.--3. bd. Elliptische funktionen und algebraiche zahlen., (Dlps) ABU8325.0001.001., (Lccallno) QA 155 .W374L 1898., Http://name.umdl.umich.edu/ABU8325.0001.001.

Published
1898

11. Lehrbuch der Algebra, von Heinrich Weber.

Author

Weber, Heinrich, 1842-1913., Weber, Heinrich, 1842-1913., Weber, Heinrich, 1842-1913., and Weber, Heinrich, 1842-1913.

Abstract

2 v. diagrs. 24 cm., First edition in 2 vols. 1894-96., First edition ov v. 3 published separately in 1891., 1. Bd. Dir-grundlagen. Die wurzeln. Algebraische grössen--2. Bd. Gruppen. Lineare gruppen. Anwendungen der gruppentheorie. Algebraische zahlen., (dlps) ABR7997.0002.001, (lccallno) QA 155 .W374L, http://quod.lib.umich.edu/t/text/accesspolicy.html

Published
1895

12. Elliptische functionen. Vorlesungen von Bernhard Riemann. Mit zusätzen herausgegeben von Hermann Stahl.

Author

Riemann, Bernhard, 1826-1866., Riemann, Bernhard, 1826-1866., Stahl, Hermann, ed. 1843-1908., Riemann, Bernhard, 1826-1866., Riemann, Bernhard, 1826-1866., and Stahl, Hermann, ed. 1843-1908.

Abstract

viii, 144 p. 22 il. 25 cm., The University of Michigan Historical Mathematics Collection, (dlps) ACR0899.0001.001, (lccallno) QA343 .R556, https://www.lib.umich.edu/about-us/policies/copyright-policy

Published
1899

13. Funktionentheoretische Vorlesungen. Neu hrsg. von Dr. Georg Faber.

Author

Burkhardt, Heinrich, 1861-1914., Burkhardt, Heinrich, 1861-1914., Burkhardt, Heinrich, 1861-1914., and Burkhardt, Heinrich, 1861-1914.

Abstract

2 v. in 3 diagrs. 23 cm., At head of title: Heinrich Burkhardt., Each volume has also individual t.-p., I. Bd. I. Hft. Algebraische Analysis. 3., umgearbeitete Aufl. 1920.--I. Bd. 2. Hft. Einführung in die Theorie der analytischen Funktionen einer komplexen Veränderlichen. 5., umgearbeitete Aufl. 1921.--2. Bd. Elliptische Funktionen. 3., vollständig umgearbeitete Aufl. 1920., The University of Michigan Historical Mathematics Collection, (dlps) ACR1303.0001.001, (lccallno) QA331 .B959 1920, https://www.lib.umich.edu/about-us/policies/copyright-policy

Published
1920

14. Éléments de la théorie des fonctions elliptiques. Par Jules Tannery [et] Jules Molk.

Author

Tannery, Jules, 1848-1910., Tannery, Jules, 1848-1910., Molk, Jules, joint author. 1857-1914., Hermite, Charles, 1822-1901., Tannery, Jules, 1848-1910., Tannery, Jules, 1848-1910., Molk, Jules, joint author. 1857-1914., and Hermite, Charles, 1822-1901.

Abstract

4 v. diagrs. 26 cm., "Lettre de Ch. Hermite à M. Jules Tannery": v. 4, p. 282-303., t. I. Introduction. Calcul différentiel (1. ptie). 1893.--t. II. Calcul différentiel (2. ptie). 1896.--t. III. Calcul intégral (1. ptie): Théorèmes généraux. Inversion. 1898.--t. IV. Calcul intégral (2. ptie): Applications. 1902., The University of Michigan Historical Mathematics Collection, (dlps) ACQ8996.0001.001, (lccallno) QA343 .T167 e, https://www.lib.umich.edu/about-us/policies/copyright-policy

Published
1893

15. The applications of elliptic functions, by Alfred George Greenhill.

Author

Greenhill, G. Sir, (George), 1847-1927., Greenhill, G. Sir, (George), 1847-1927., Greenhill, G. Sir, (George), 1847-1927., and Greenhill, G. Sir, (George), 1847-1927.

Abstract

xi, 357 p. diagrs. 23 cm., Includes bibliographical references and index., The University of Michigan Historical Mathematics Collection, (dlps) ACQ7072.0001.001, (lccallno) QA343 .G813 a, https://www.lib.umich.edu/about-us/policies/copyright-policy

Published
1892

16. The elementary properties of the elliptic functions. With examples.

Author

Dixon, Alfred Cardew, 1865, Dixon, Alfred Cardew, 1865, Dixon, Alfred Cardew, 1865, and Dixon, Alfred Cardew, 1865

Abstract

viii, 142 p. 6 illus. 19 cm., The University of Michigan Historical Mathematics Collection, (dlps) ACQ6963.0001.001, (lccallno) QA343 .D621 e, https://www.lib.umich.edu/about-us/policies/copyright-policy

Published
1894

17. Lehrbuch der Algebra, von Heinrich Weber.

Author

Weber, Heinrich, 1842-1913., Weber, Heinrich, 1842-1913., Weber, Heinrich, 1842-1913., and Weber, Heinrich, 1842-1913.

Abstract

3 v. diagrs. 23 cm., First edition in 2 vols., 1894-96., First edition of v. 3 published separately in 1891., 1. bd. Die grundlagen. Die wurzeln. Algebraische grössen.--2. bd. Gruppen. Lineare gruppen. Anwendungen der gruppentheorie. Algebraische zahlen.--3. bd. Elliptische funktionen und algebraiche zahlen., The University of Michigan Historical Mathematics Collection, (dlps) ABU8325.0001.001, (lccallno) QA 155 .W374L 1898, https://www.lib.umich.edu/about-us/policies/copyright-policy

Published
1898

18. Die Transformation, Die Multiplication und die Modulargleichungen der elliptischen Functionen.

Author

Koenigsberger, Leo, Koenigsberger, Leo, 1837-1921., Koenigsberger, Leo, and Koenigsberger, Leo, 1837-1921.

Abstract

We have determined this item to be in the public domain according to US copyright law through information in the bibliographic record and/or US copyright renewal records. The digital version is available for all educational uses worldwide. Please contact HathiTrust staff at hathitrust-help@umich.edu with any questions about this item., Functions, Elliptic., (OCoLC)ocm02055996., Sdr-wu2743056., QA343 .K78 t., Http://hdl.handle.net/2027/mdp.39015066469423., Http://hdl.handle.net/2027/wu.89062910476.

19. Formeln und Lehrs̃tze zum Gebrauche der elliptischen Functionen. nach Vorlesungen und Aufzeichnungen des Hern K. Weierstrass, bearbeitet und herausgegeben von H.A. Schwarz.

Author

Weierstrass, Karl, Weierstrass, Karl, 1815-1897., Schwarz, Hermann Amandus, ed. 1843-1921., Weierstrass, Karl, Weierstrass, Karl, 1815-1897., and Schwarz, Hermann Amandus, ed. 1843-1921.

Abstract

96 p. diagrs. 28 x 24 cm., Cover title., Schwarz, Hermann Amandus, ed. 1843-1921., (Dlps) ACQ9098.0001.001., (Lccallno) QA343 .W418 f., Http://name.umdl.umich.edu/ACQ9098.0001.001.

20. Formeln und Lehrsätze zum Gebrauche der elliptischen Functionen. nach Vorlesungen und Aufzeichnungen des Hern K. Weierstrass, bearbeitet und herausgegeben von H. A. Schwarz.

Author

Weierstrass, Karl, 1815-1897., Weierstrass, Karl, 1815-1897., Schwarz, Hermann Amandus, ed. 1843-1921., Weierstrass, Karl, 1815-1897., Weierstrass, Karl, 1815-1897., and Schwarz, Hermann Amandus, ed. 1843-1921.

Abstract

96 p. diagrs. 28 x 24 cm., Cover title., The University of Michigan Historical Mathematics Collection, (dlps) ACQ9098.0001.001, (lccallno) QA343 .W418 f, https://www.lib.umich.edu/about-us/policies/copyright-policy

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