Search results
Jump to navigation
Jump to search
Page title matches
- {{ dambigbox| Complex analysis | Analysis }} ...ing complex-valued functions does not qualify something for being called ''complex analysis''; it is really the new definitions of differentiation and integration with6 KB (1,077 words) - 19:25, 29 September 2020
- 12 bytes (1 word) - 06:49, 26 September 2007
- 220 bytes (24 words) - 04:46, 22 February 2011
- In [[complex analysis]], a '''pole''' is a type of [[singularity]] of a [[function (mathematics)|1 KB (188 words) - 13:32, 8 March 2009
- ===Disciplines within complex analysis===670 bytes (80 words) - 08:52, 7 August 2008
- 133 bytes (21 words) - 02:35, 5 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Pole (complex analysis)]]. Needs checking by a human.665 bytes (81 words) - 19:37, 11 January 2010
Page text matches
- {{rpl|Complex analysis||**}}254 bytes (27 words) - 04:01, 26 September 2013
- In [[mathematical analysis]], precisely in [[complex analysis]], '''several complex variables''' is the field that studies the properties198 bytes (26 words) - 06:52, 22 February 2011
- ===Disciplines within complex analysis===670 bytes (80 words) - 08:52, 7 August 2008
- Field of mathematics, precisely of [[complex analysis]], that studies those properties which characterize [[Function (mathematics232 bytes (27 words) - 04:54, 22 February 2011
- In [[complex analysis]], a '''removable singularity''' is a type of [[singularity]] of a [[functi An isolated singularity may be either removable, a [[pole (complex analysis)|pole]], or an [[essential singularity]].929 bytes (138 words) - 02:29, 25 October 2013
- <noinclude>{{Subpages}}</noinclude>A certain type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]151 bytes (19 words) - 18:29, 15 December 2010
- ...l equation]]s which characterize [[Function (mathematics)|functions]] in [[complex analysis]].160 bytes (18 words) - 05:17, 22 February 2011
- In [[complex analysis]], an '''isolated singularity''' of a [[complex number|complex]]-valued [[f ...er of ''z''-''a'' times ''f'' is bounded, and the singularity is a [[pole (complex analysis)|pole]].903 bytes (137 words) - 16:34, 11 November 2008
- {{r|Complex analysis}} {{r|Pole (complex analysis)}}560 bytes (69 words) - 20:00, 11 January 2010
- ...nent French mathematician, one of the pioneers of rigor in mathematics and complex analysis.149 bytes (17 words) - 13:55, 21 May 2008
- * {{cite book | author=Hilary A. Priestley | title=Introduction to Complex Analysis | edition=2nd ed | publisher=[[Oxford University Press]] | year=2003 | isbn189 bytes (24 words) - 16:43, 11 November 2008
- {{r|Complex analysis}} {{r|Complex analysis}}918 bytes (144 words) - 02:40, 23 February 2011
- In complex analysis, the '''residue''' of a function ''f'' [[holomorphic function|holomorphic ...h>z_0</math> itself), with either a [[removable singularity]] or a [[pole (complex analysis)|pole]] at <math>z_0</math>, then it can be represented as a [[Laurent seri1 KB (227 words) - 16:56, 12 November 2008
- ...] on all ''D'' ''except'' a set of [[isolated point]]s, which are [[pole (complex analysis)|pole]]s for the function. (The terminology comes from the [[Ancient Greek]1 KB (215 words) - 03:15, 21 January 2009
- | title = An Introduction to Complex Analysis in Several Variables768 bytes (98 words) - 02:37, 23 February 2011
- ...'; part I in ''Global analysis'', Princeton university press. Part II in ''complex analysis and algebraic geometry'', Cambridge university press. Part III in ''Invent1,005 bytes (121 words) - 16:33, 1 December 2008
- ...eveloped prior to the advent of state space methods, which rely heavily on complex analysis and transform methods, especially the Laplace and Fourier transforms, as we246 bytes (33 words) - 22:08, 11 September 2009
- Theorem that relates the complex analysis of a connected compact Riemann surface with the surface's purely topologica230 bytes (34 words) - 19:05, 4 September 2009
- In [[complex analysis]], a '''pole''' is a type of [[singularity]] of a [[function (mathematics)|1 KB (188 words) - 13:32, 8 March 2009
- {{rpl|Pole (complex analysis)}}166 bytes (21 words) - 05:56, 26 September 2013
- {{r|Complex analysis}} {{r|Pole (complex analysis)}}972 bytes (150 words) - 16:38, 11 November 2008
- | title = An Introduction to Classical Complex Analysis. Vol. 1 }}. A comprehensive textbook on some topics of [[complex analysis]], with historical sections at the end of each chapter and also many histor2 KB (282 words) - 05:29, 8 February 2011
- ...h to the theory. The authors are well known contributors to the field of [[complex analysis]].2 KB (237 words) - 08:05, 24 February 2011
- In complex analysis, a meromorphic function on an open subset D of the complex plane is a funct839 bytes (128 words) - 10:05, 10 October 2013
- {{r|Complex analysis}}276 bytes (34 words) - 10:41, 21 April 2010
- |title = Complex Analysis899 bytes (119 words) - 17:42, 26 September 2007
- {{r|Complex analysis}}993 bytes (129 words) - 20:50, 11 January 2010
- {{ dambigbox| Complex analysis | Analysis }} ...ing complex-valued functions does not qualify something for being called ''complex analysis''; it is really the new definitions of differentiation and integration with6 KB (1,077 words) - 19:25, 29 September 2020
- ===Using complex analysis=== There are also proofs that do not depend on [[complex analysis]], but they require more [[algebra|algebraic]] or [[topology|topological]]5 KB (924 words) - 16:35, 11 December 2008
- ...uence, allowing the application of methods of [[real analysis|real]] and [[complex analysis]] to problems in [[algorithmics]], [[combinatorics]], [[number theory]], [[1 KB (148 words) - 13:24, 19 December 2009
- ...Littlewood | authorlink=J. E. Littlewood | title=Some problems in real and complex analysis | publisher=D.C. Heath | year=1968 }}2 KB (230 words) - 16:13, 27 October 2008
- {{r|Pole (complex analysis)}}505 bytes (63 words) - 19:58, 11 January 2010
- {{r|Complex analysis}}1 KB (162 words) - 07:35, 9 January 2011
- '''Holomorphic functions''' are the central object of study of [[complex analysis]]; they are [[function (mathematics)|functions]] defined on an [[open set|o ...oincides with the class of ''holomorphic functions'' is a major theorem in complex analysis.9 KB (1,434 words) - 15:35, 7 February 2009
- Auto-populated based on [[Special:WhatLinksHere/Pole (complex analysis)]]. Needs checking by a human.665 bytes (81 words) - 19:37, 11 January 2010
- {{r|Complex analysis}}663 bytes (84 words) - 19:23, 11 January 2010
- In [[complex analysis]], the '''Cauchy-Riemann equations''' are one of the of the basic objects o ...ics]]<ref>See {{harvnb|D'Alembert|1752}}.</ref>: this connection between [[complex analysis]] and hydrodynamics is made explicit in classical [[treatise]]s of the latt6 KB (874 words) - 03:45, 7 October 2013
- {{r|Complex analysis}}763 bytes (99 words) - 17:28, 11 January 2010
- A '''modular form''' is a type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modula1 KB (235 words) - 19:47, 15 December 2010
- {{r|Pole (complex analysis)}}991 bytes (124 words) - 17:15, 11 January 2010
- ...man | Rudolf E. Kalman]]. The methods of classical control rely heavily on complex analysis and transform methods, especially the [[Laplace transform|Laplace]] and [[F862 bytes (114 words) - 05:54, 26 September 2007
- In [[complex analysis]], a field of [[mathematics]], a [[complex number|complex]]-valued [[functi One of the most important theorems of complex analysis is that holomorphic functions are analytic. Among the corollaries of this4 KB (730 words) - 15:17, 8 December 2009
- {{r|Complex analysis}}908 bytes (142 words) - 06:59, 22 February 2011
- ...ed [[real analysis]] and the study of complex-valued functions is called [[complex analysis]].5 KB (912 words) - 09:26, 29 May 2009
- ...ician who made important contributions to [[differential geometry]], the [[complex analysis|theory of functions]], and [[number theory]].5 KB (751 words) - 11:37, 25 March 2022
- ...on]] with finitely many [[Euler factor]]s removed, and hence has a [[pole (complex analysis)|pole]] of order 1 at ''s''=1. Otherwise ''L''(''s'',χ) has a half-plane2 KB (335 words) - 06:03, 15 June 2009
- ...eory of [[normed vector space]]s in functional analysis, and in parts of [[complex analysis]].2 KB (414 words) - 08:12, 16 April 2009
- ...vca/PDF/vca-preface.pdf "Preface"]" to ''[http://www.usfca.edu/vca/ Visual Complex Analysis]''. Oxford University Press, (1999). ISBN 0-19-853446-9.2 KB (243 words) - 06:05, 22 May 2009
- ...used this to establish the prime number theorem. A proof not relying on [[complex analysis]] proved elusive, even though weaker results on the distribution of prime n4 KB (703 words) - 12:02, 13 November 2007
- ...cially on [[complex analysis]]. But it is by no means necessary to rely on complex analysis here. A proof using [[field theory]] is alluded to at the very end of this18 KB (3,028 words) - 17:12, 25 August 2013
- {{r|Complex analysis}}2 KB (262 words) - 19:07, 11 January 2010
- ...cially on [[complex analysis]]. But it is by no means necessary to rely on complex analysis here. A proof using [[field theory]] is alluded to at the very end of this20 KB (3,304 words) - 17:11, 25 August 2013
- * Ahlfors, Lars V. (1953). Complex analysis. McGraw-Hill Book Company, Inc..6 KB (1,021 words) - 12:18, 11 June 2009
- ...ction|analytic]] for <math>\Re s \ge 1</math>, except for a simple [[Pole (complex analysis)|pole]] at <math>s=1</math> with residue 1. Then the [[Limit of a function|2 KB (362 words) - 16:05, 9 November 2008
- From a theorem in [[complex analysis]], there is a unique analytic extension of this real function to the comple ...rigonometric functions become essential in the geometric interpretation of complex analysis. For example, with the above identity, if one considers the unit circle in33 KB (5,179 words) - 08:26, 4 June 2010
- the study of [[Complex analysis|analytical]] objects (e.g., the [[Riemann zeta function]]) that encode prop ...nt of much of modern mathematics necessary for basic modern number theory: complex analysis, group theory, Galois theory -- accompanied by greater rigor in analysis an27 KB (4,383 words) - 08:05, 11 October 2011
- ...tically, despite its most important properties requiring only elementary [[complex analysis]]. An account of the function and its history that helped popularize it is14 KB (2,354 words) - 21:43, 25 September 2011
- ...nts due to division by zero; it is a [[meromorphic function]] with [[pole (complex analysis)|pole]]s at the nonpositive integers. The following image shows the graph o [[Karl Weierstrass]] further established the role of the gamma function in [[complex analysis]], starting from yet another product representation,32 KB (5,024 words) - 12:05, 22 December 2008
- This concept regards functions that have [[Pole (complex analysis)|poles]]—isolated singularities, i.e., points where a function goes t20 KB (3,286 words) - 12:52, 24 August 2013
- There are limits to what can be determined with portable equipment. For more complex analysis, either a transportable laboratory needs to be brought to the site, or, if20 KB (2,892 words) - 16:53, 24 March 2024
- ...between the input and output sides of the amplifier, the amplifier [[Pole (complex analysis)|pole]] lowest in frequency (usually an input pole) moves to a lower freque18 KB (3,162 words) - 09:46, 6 June 2011
- ..., one of the most fundamental open questions in mathematics, is drawn from complex analysis. [[Functional analysis]] focuses attention on (typically infinite-dimension30 KB (4,289 words) - 16:03, 20 January 2023
- Internal evidence involves a more complex analysis of linguistic behaviour. For example, word [[stress (linguistics)|stress]]18 KB (2,729 words) - 14:12, 18 February 2024
- Gienapp (1987) is the most complex analysis of the formation of the system. His has six basic findings. First, the real25 KB (3,607 words) - 13:08, 9 August 2023
- ...inite series) in number theory. Since he lived before the development of [[complex analysis]], most of his work is restricted is restricted to the formal manipulation35 KB (5,526 words) - 11:29, 4 October 2013