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- [[File:Maxwell's equations for electromagnetism.jpg|thumb|Maxwell's equations for electromagnetism]] ...agnetic phenomenon, based upon deriving of the [[speed of light]] from his equations. ...8 KB (1,284 words) - 10:08, 28 February 2024
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- ...e in some kind of border area between equations of lower degree (easy) and equations of higher degree (very hard). ...Dyer conjecture|BSD conjecture]] concerns the simplest class of polynomial equations—elliptic curves—for which there is no simple way to decide whether the numb ...3 KB (429 words) - 20:06, 15 May 2022
- [[File:Maxwell's equations for electromagnetism.jpg|thumb|Maxwell's equations for electromagnetism]] ...agnetic phenomenon, based upon deriving of the [[speed of light]] from his equations. ...8 KB (1,284 words) - 10:08, 28 February 2024
- === Lecture III. On Algebra, Particularly the Resolution of Equations of the Third and Fourth Degree === ...them as we do with known quantities, and to form from them one or several equations from which the value of the unknown quantities can be determined.<!--p. 55- ...13 KB (2,093 words) - 08:17, 28 February 2024
- ...he {{w|frequency domain}} transforms differential equations into algebraic equations and {{w|convolution}} into multiplication. It has many applications in the ** {{w|K. T. Chau}}, ''Theory of Differential Equations in Engineering and Mechanics'' (2017) p. 659. ...6 KB (1,005 words) - 23:30, 29 September 2022
- ...was first made explicit by [[Ramanujan]] in his 1914 paper " Modular Equations and Approximations to π " .... .../abs/10.1080/00029890.1989.11972169?journalCode=uamm20 "Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi."] The ...6 KB (952 words) - 14:29, 29 February 2024
- ...ry has led to some interesting problems in nonlinear elliptic differential equations. One such problem is the local behavior of Yang-Mills fields ... over Eucli ...were standard items in differential topology. In hindsight, the Yang-Mills equations were waiting to be discovered. Yet mathematicians were in themselves unable ...4 KB (516 words) - 10:04, 20 October 2024
- ...ribed in the {{w|Cartesian coordinate system}} by one of the two following equations: ...oloid <math>ax^2 + by^2 + 2z = 0</math> in the straight lines given by the equations <math>ax^2 = by^2 = 0, z = 0</math>; the lines are clearly real when ''a'' ...14 KB (2,244 words) - 04:28, 6 January 2022
- ...the electromagnetic field, proposed by Dirac (1936), leads to inconsistent equations as soon as the spin is greater than 1. ...fgang Pauli]], {{cite journal | year = 1939 | title = On relativistic wave equations for particles of arbitrary spin in an electromagnetic field | journal = Pro ...8 KB (1,192 words) - 11:32, 10 January 2022
- * '''One of the most frequently mentioned equations was Euler's equation, <math>e^{i \pi} + 1 = 0. \,\!</math> '''Respondents c .... Crease]], in [http://physicsweb.org/articles/world/17/10/2 "The greatest equations ever" at PhysicsWeb (October 2004)] ...5 KB (698 words) - 15:14, 8 June 2024
- ...smic scale factor]] <math>a </math>, a key parameter of the {{w|Friedmann equations}}.]] ...smological constant <math>\Lambda</math> appears in the {{w|Einstein field equations}} in the form of <math>R_{\mu \nu} -\frac{1}{2}R\,g_{\mu \nu} +\Lambda\,g_{ ...22 KB (3,425 words) - 18:26, 2 April 2024
- ...kt:qualitative|qualitative]] analysis of systems described by differential equations. If no self-contained formula for the solution is available, many computer ...theory of numbers]]... his important memoirs on the theory of differential equations, both ordinary and partial; his development of the {{w|calculus of variatio ...26 KB (4,006 words) - 10:10, 28 February 2024
- ...n is in my view a monster in relation to [[w:Maxwell's equations|Maxwell's equations]], whose innermost harmony is the principle of relativity. === ''The Fundamental Equations for Electromagnetic Processes in Moving Bodies'' (1907) === ...18 KB (2,774 words) - 17:34, 31 March 2024
- ...ints'' by Jean E. Taylor|title=Differential Geometry: Partial Differential Equations on Manifolds|chapter-url=https://books.google.com/books?id=ulgECAAAQBAJ&pg= ** {{cite journal|title=Nonlinear partial differential equations and applications: Crystalline variational methods|journal=Proceedings of th ...6 KB (864 words) - 20:22, 27 January 2025
- * When I see equations, I see the letters in colors – I don’t know why. As I’m talking, I see vagu ...3 KB (459 words) - 22:10, 11 October 2017
- ...heory, topology, [[algebraic geometry]], symplectic geometry, differential equations, classical mechanics and singularity theory. ** Vladimir I. Arnold, "Ordinary Differential Equations", 3rd edition, p. 58. ...7 KB (1,051 words) - 02:10, 28 September 2024
- ...rks have come down to us is {{w|Ahmes}}. He has certain problems in linear equations and in series, and these form the essentially new feature in his work. His ...Bijaganita|Bija Ganita]]'' (c. 1150)... extends the work through quadratic equations. ...21 KB (3,362 words) - 18:17, 23 February 2021
- ...rovement of the Method of approximating, in the Extraction of the Roots of Equations in Numbers (1717) == ...of [[w:Polynomial root-finding algorithms|extracting the Roots of affected Equations of the common Form]], in Numbers. This Method proceeds by assuming the [[wi ...20 KB (3,201 words) - 21:24, 30 July 2024
- ...geometry. Its method transformed geometric lines and curves into algebraic equations, and emphasized the degree of an equation in x and y as a means of classifi ...tangents to curves. ...<br />The third part...concerns... the solution of equations of degree greater than two. Use is made of what we now call "Descartes' rul ...25 KB (4,131 words) - 08:18, 28 February 2024
- ...pose is to fill this gap in the theory of [[w:Algebraic equation|algebraic equations]]. ** ''A Memoir on Algebraic Equations, Proving the Impossibility of a Solution of the General Equation of the Fif ...36 KB (5,749 words) - 13:20, 14 September 2023
- ...dern algebra, with innovations such as the use of letters as parameters in equations. He was a lawyer serving as a [[w:Conseil du Roi|privy councillor]] to king ** Jean-Pierre Tignol, ''Galois' Theory of Algebraic Equations'' (2001) ...23 KB (3,669 words) - 16:25, 5 July 2019