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• Euler's Totient Theorem
  '''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) - 17:45, 21 March 2023
• Euler's phi function
  #REDIRECT [[Euler's totient function]]
  38 bytes (4 words) - 15:36, 18 June 2006
• Euler's totient function
  '''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 (898 words) - 19:12, 28 January 2024
• Euler's formula
  * [[Euler's totient theorem]] * [[Euler's polyhedral formula]]
  155 bytes (19 words) - 15:45, 14 February 2007
• Euler's number
  '''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) - 21:09, 13 March 2022
• Euler's Polyhedral Formula
  Apply Euler's Polyhedral Formula on the following polyhedra: * [[Euler characteristic]]
  1,006 bytes (134 words) - 14:15, 6 March 2022
• Euler's identity
  ...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 encapsulate
  3 KB (452 words) - 23:17, 4 January 2021
• Euler
  #REDIRECT [[Leonhard Euler]]
  28 bytes (3 words) - 16:09, 2 August 2008
• Leonhard Euler
  ...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 daught
  3 KB (500 words) - 21:28, 15 September 2008
• Euler line
  ...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) - 04:47, 30 August 2023
• Euler point
  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) - 12:09, 6 July 2007
• Euler's line
  #REDIRECT [[Euler line]]
  24 bytes (3 words) - 19:59, 4 November 2006
• Euler's totient theorem
  #REDIRECT [[Euler's Totient Theorem]]
  37 bytes (4 words) - 20:42, 4 November 2006
• Fermat-Euler Theorem
  #REDIRECT [[Euler's Totient Theorem]]
  37 bytes (4 words) - 20:44, 4 November 2006
• Euler's Formula
  #REDIRECT [[Euler's formula]]
  29 bytes (3 words) - 15:45, 14 February 2007
• Euler Totient Function
  #REDIRECT [[Euler's totient function]]
  38 bytes (4 words) - 16:40, 7 June 2007
• Euler's constant
  #REDIRECT [[Euler's number]]
  28 bytes (3 words) - 13:07, 22 December 2007
• Euler's polyhedral formula
  #REDIRECT [[Euler's Polyhedral Formula]]
  40 bytes (4 words) - 13:55, 22 December 2007
• Euler constant
  #redirect [[Euler's number]]
  28 bytes (3 words) - 03:52, 31 January 2008
• Euler Product
  ...of the more general [[Dirichlet series]], which is a generalization of the Euler Product for any general [[multiplicative function]]. The relationship betwe
  708 bytes (116 words) - 21:15, 13 August 2015

Page text matches

• Mathematics summer program
  * [[Euler Circle]] in Palo Alto, CA, [https://eulercircle.com/ Website] (During the y
  14 KB (1,824 words) - 01:56, 2 May 2024
• Mathematical problem solving
  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 ca
  2 KB (314 words) - 06:45, 1 May 2014
• Relatively prime
  [[Euler's totient function]] determines the number of positive integers less than a
  2 KB (245 words) - 15:51, 25 February 2020
• Number theory/Olympiad
  ** [[Euler's Totient Theorem]]
  734 bytes (79 words) - 18:27, 25 April 2008
• Number theory/Intermediate
  ** [[Euler's Totient Theorem]]
  1,016 bytes (108 words) - 21:05, 26 January 2016
• Fermat's Little Theorem
  ...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 relatively
  16 KB (2,658 words) - 16:02, 8 May 2024
• Euler's Totient Theorem
  '''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) - 17:45, 21 March 2023
• Euler's phi function
  #REDIRECT [[Euler's totient function]]
  38 bytes (4 words) - 15:36, 18 June 2006
• Geometric inequality
  ==Euler's inequality== [[Euler's inequality]] states that <math>R\ge2r</math> with equality when <math>\tr
  7 KB (1,296 words) - 14:22, 22 October 2023
• Euler's totient function
  '''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 (898 words) - 19:12, 28 January 2024
• Phi function
  #REDIRECT [[Euler's totient function]]
  38 bytes (4 words) - 11:56, 13 July 2006
• Orthic triangle
  ...circumcenters of <math>BFHD</math> and <math>CDHE</math> are the other two Euler points.
  8 KB (1,408 words) - 11:54, 8 December 2021
• Euler's formula
  * [[Euler's totient theorem]] * [[Euler's polyhedral formula]]
  155 bytes (19 words) - 15:45, 14 February 2007
• Function
  ...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) - 03:16, 12 May 2023
• Pi
  *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) - 21:11, 16 September 2022
• Phi
  * <math>\phi</math> is also commonly used to represent [[Euler's totient function]].
  2 KB (302 words) - 14:04, 1 January 2024
• Fibonacci sequence
  ...Philippe Marie Binet, though it was already known by Abraham de Moivre and Euler before him.
  6 KB (957 words) - 23:49, 7 March 2024
• Trigonometric identities
  [[Euler's identity]] states that <math>e^{ix} = \cos (x) + i \sin(x)</math>. We hav === Euler's identity ===
  8 KB (1,397 words) - 21:55, 20 January 2024
• Cis
  ...>re^{i\theta}</math> rather than <math>r\mathrm{cis }(\theta)</math>, as [[Euler's formula]] states that
  1 KB (171 words) - 20:59, 11 July 2023
• Exponential form
  ...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</ma
  1 KB (238 words) - 22:51, 20 February 2022

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