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- '''Euler's Totient Theorem''' is a theorem closely related to his [[totient function Let <math>\phi(n)</math> be [[Euler's totient function]]. If <math>n</math> is a positive integer, <math>\phi{(3 KB (542 words) - 16:45, 21 March 2023
- #REDIRECT [[Euler's totient function]]38 bytes (4 words) - 14:36, 18 June 2006
- '''Euler's totient function''' <math>\phi(n)</math> applied to a [[positive integer] Thus by the definition of Euler's phi we have that <math>|A_d^\prime|=\phi (n/d)</math>. As every integer <5 KB (903 words) - 14:49, 27 July 2024
- * [[Euler's totient theorem]] * [[Euler's polyhedral formula]]155 bytes (19 words) - 14:45, 14 February 2007
- '''Euler's number''' is a [[constant]] that appears in a variety of mathematical con An approximation for Euler's number is <math>e\approx 2.7182818284590452...</math>4 KB (764 words) - 20:09, 13 March 2022
- Apply Euler's Polyhedral Formula on the following polyhedra: * [[Euler characteristic]]1,006 bytes (134 words) - 13:15, 6 March 2022
- ...heta</math>. It is named after the 18th-century mathematician [[Leonhard Euler]]. ...n solving problems involving [[complex numbers]] and/or [[trigonometry]]. Euler's formula replaces "[[cis]]", and is a superior notation, as it encapsulate3 KB (452 words) - 22:17, 4 January 2021
- #REDIRECT [[Leonhard Euler]]28 bytes (3 words) - 15:09, 2 August 2008
- ...numerous contributions to many fields of [[mathematics]] and [[science]]. Euler is often considered to be one of the greatest mathematicians of all time, a ...as born on April 15, 1707 in Basel, Switzerland. Euler's parents were Paul Euler, a pastor of the Reformed Church, and Marguerite Brucker, a pastor's daught3 KB (503 words) - 22:28, 1 November 2024
- ...oint | de Longchamps point]] <math>L</math>. It is named after [[Leonhard Euler]]. Its existence is a non-trivial fact of Euclidean [[geometry]]. Certain Euler line is the central line <math>L_{647}</math>.59 KB (10,203 words) - 03:47, 30 August 2023
- In a given [[triangle]] <math>\triangle ABC</math>, the '''Euler [[point]]s''', usually denoted <math>E_A,E_B,E_C</math>, are the [[midpoint Euler points lie on the [[nine-point circle]].304 bytes (47 words) - 11:09, 6 July 2007
- #REDIRECT [[Euler line]]24 bytes (3 words) - 18:59, 4 November 2006
- #REDIRECT [[Euler's Totient Theorem]]37 bytes (4 words) - 19:42, 4 November 2006
- #REDIRECT [[Euler's Totient Theorem]]37 bytes (4 words) - 19:44, 4 November 2006
- #REDIRECT [[Euler's formula]]29 bytes (3 words) - 14:45, 14 February 2007
- #REDIRECT [[Euler's totient function]]38 bytes (4 words) - 15:40, 7 June 2007
- #REDIRECT [[Euler's number]]28 bytes (3 words) - 12:07, 22 December 2007
- #REDIRECT [[Euler's Polyhedral Formula]]40 bytes (4 words) - 12:55, 22 December 2007
- #redirect [[Euler's number]]28 bytes (3 words) - 02:52, 31 January 2008
- ...of the more general [[Dirichlet series]], which is a generalization of the Euler Product for any general [[multiplicative function]]. The relationship betwe708 bytes (116 words) - 20:15, 13 August 2015
Page text matches
- * [[Euler Circle]] in Palo Alto, CA, [https://eulercircle.com/ Website] (During the y14 KB (1,881 words) - 18:07, 22 October 2024
- The famous [[mathematician]] [[Leonhard Euler]] used the fact that:<br> ...e at <math>0</math>, <math>\pm \pi</math>, <math>\pm{2\pi}</math>, etc. so Euler made the leap of claiming that the [[polynomial]] on the right hand side ca2 KB (314 words) - 05:45, 1 May 2014
- [[Euler's totient function]] determines the number of positive integers less than a2 KB (245 words) - 17:45, 14 October 2024
- ** [[Euler's Totient Theorem]]734 bytes (79 words) - 17:27, 25 April 2008
- ** [[Euler's Totient Theorem]]1,015 bytes (104 words) - 16:21, 1 September 2024
- ...rphi(n)} \equiv 1 \pmod{n}</math>, where <math>\varphi(n)</math> denotes [[Euler's totient function]]. In particular, <math>\varphi(p) = p-1</math> for prim A similar version can be used to prove [[Euler's Totient Theorem]], if we let <math>S = \{\text{natural numbers relatively16 KB (2,660 words) - 22:42, 28 August 2024
- '''Euler's Totient Theorem''' is a theorem closely related to his [[totient function Let <math>\phi(n)</math> be [[Euler's totient function]]. If <math>n</math> is a positive integer, <math>\phi{(3 KB (542 words) - 16:45, 21 March 2023
- #REDIRECT [[Euler's totient function]]38 bytes (4 words) - 14:36, 18 June 2006
- ==Euler's inequality== [[Euler's inequality]] states that <math>R\ge2r</math> with equality when <math>\tr7 KB (1,300 words) - 00:11, 28 October 2024
- '''Euler's totient function''' <math>\phi(n)</math> applied to a [[positive integer] Thus by the definition of Euler's phi we have that <math>|A_d^\prime|=\phi (n/d)</math>. As every integer <5 KB (903 words) - 14:49, 27 July 2024
- #REDIRECT [[Euler's totient function]]38 bytes (4 words) - 10:56, 13 July 2006
- ...circumcenters of <math>BFHD</math> and <math>CDHE</math> are the other two Euler points.8 KB (1,408 words) - 08:39, 10 July 2024
- * [[Euler's totient theorem]] * [[Euler's polyhedral formula]]155 bytes (19 words) - 14:45, 14 February 2007
- ...lt of the works of some famous mathematicians: [[A.L. Cauchy]], [[Leonhard Euler]], and [[Bernhard Riemann]]. With the development of [[set theory]], a new The current notation used is attributed to [[Leonhard Euler]].10 KB (1,761 words) - 02:16, 12 May 2023
- *Letting <math>\theta = \pi</math> in [[Euler's identity]] gives <math>e^{\pi i} + 1 = 0</math>, which is considered to b ===[[Euler's identity]]===8 KB (1,469 words) - 20:11, 16 September 2022
- * <math>\phi</math> is also commonly used to represent [[Euler's totient function]].2 KB (303 words) - 19:38, 6 October 2024
- ...Philippe Marie Binet, though it was already known by Abraham de Moivre and Euler before him. Another explanation is that you can continue the fibonacci numb7 KB (1,111 words) - 13:57, 24 June 2024
- [[Euler's identity]] states that <math>e^{ix} = \cos (x) + i \sin(x)</math>. We hav === Euler's identity ===8 KB (1,397 words) - 20:55, 20 January 2024
- ...>re^{i\theta}</math> rather than <math>r\mathrm{cis }(\theta)</math>, as [[Euler's formula]] states that1 KB (171 words) - 19:59, 11 July 2023
- ...math>, where <math>r=|z| = \sqrt{a^2 + b^2}</math>. By [[Euler's identity|Euler's formula]], which states that <math>e^{i\theta}=\cos\theta+i\sin\theta</ma1 KB (238 words) - 21:51, 20 February 2022