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• Subgroup
  We say that <math>H</math> is a ''proper subgroup'' of <math>G</math> if <math>H \neq G</math>.
  2 KB (311 words) - 20:37, 7 May 2008
• 2008 Mock ARML 2 Problems
  ...actly three proper divisors, each of which is less than <math>30</math> (a proper divisor of <math>n</math> is a positive integer that divides but is not equ
  4 KB (582 words) - 21:57, 8 May 2019
• 2008 Mock ARML 2 Problems/Problem 2
  ...actly three proper divisors, each of which is less than <math>30</math> (a proper divisor of <math>n</math> is a positive integer that divides but is not equ ...qr</math>. In other words, only perfect squares of primes have exactly two proper divisors (hence <math>2397 = 2^2 + 3^2 + 5^2 + 7^2 + \cdots + 29^2</math>),
  1 KB (226 words) - 19:58, 29 May 2008
• Nilpotent group
  ...math>H</math> be a proper subgroup of <math>H</math>. Then there exists a proper normal subgroup <math>A</math> of <math>G</math> such that <math>H \subsete
  9 KB (1,768 words) - 17:55, 5 June 2008
• P-group
  ...2.''' If <math>G</math> is a <math>p</math>-group, and <math>H</math> is a proper [[subgroup]] of <math>G</math>, then the normalizer of <math>H</math> is di '''Proposition.''' Let <math>H</math> be a proper subgroup of a <math>p</math>-group <math>G</math>. Then there exists a nor
  4 KB (814 words) - 22:50, 3 November 2023
• Krull's Theorem
  ...y if it does not contain 1. Let <math>\mathcal{F}</math> be the family of proper ideals of <math>R</math> containig <math>\mathfrak{a}</math>. Evidently, 1
  1 KB (192 words) - 08:38, 16 June 2008
• KGS math club
  |Find a set P such that P×P is a proper subset of P.
  22 KB (3,358 words) - 15:17, 18 July 2017
• Gauss's Lemma (polynomial)
  ...ose <math>I(PQ) \neq (1)</math>. Then by [[Krull's Theorem]], there is a (proper) maximal ideal <math>\mathfrak{m}</math> that contains <math>I(PQ)</math>. is a proper subset of <math>(a,b)(c,d)</math>.
  3 KB (483 words) - 12:23, 30 May 2019
• Time dilation
  <math>t_1</math> is the "proper" time experienced by the moving object.
  1 KB (261 words) - 00:19, 31 January 2021
• 2009 AIME I Problems/Problem 13
  But we can't have an infinite sequence of proper factors, unless <math>b_n=0</math>
  3 KB (546 words) - 16:39, 15 February 2021
• Maximal ideal
  ...a proper [[ideal]] <math>I\le R</math> which is not contained in any other proper ideal of <math>R</math>. (That is, <math>I\neq R</math>, and there is no id
  968 bytes (183 words) - 19:50, 23 August 2009
• Semisimple module
  maximal proper submodule. be a generator for <math>M</math>. Let <math>N</math> be a maximal proper submodule of <math>M</math>
  6 KB (1,183 words) - 15:02, 18 August 2009
• Getting Started With Python Programming
  ...lly indents for you when you type <code>for i in range(1, 51):</code>, the proper indentation in Python is super important! If you don't do it correctly, the ...code looks exactly like it does in the screenshot above. Again, in Python, proper indentation is very important!
  14 KB (2,353 words) - 23:37, 11 June 2024
• 2011 AMC 10B Problems/Problem 25
  ...imeter would be <math>a + a + 1 + a + 2 = 3a + 3 < 6</math>. So, to have a proper triangle, we have <math>\frac{3018}{2^{k}} > 6 \Rightarrow 2^k < 503 \Right
  4 KB (620 words) - 03:15, 3 November 2022
• User:Bestbuymas
  ...ook for best Martial Arts Trainer. But while training you will have to buy proper and high quality karate uniforms that are available online. This Karate sup
  2 KB (273 words) - 03:21, 3 January 2014
• Deficient number
  ...<math>n</math>. For example, 22 is deficient because its [[proper divisor|proper factors]] sum to 14 < 22. The smallest deficient numbers are 1, 2, 3, 4, 5,
  719 bytes (88 words) - 12:39, 9 February 2018
• 1996 AHSME Problems/Problem 13
  ...th>m</math> cannot be added, and <math>B</math> and <math>E</math> are not proper answers, since they both contain <math>h+m</math>.
  3 KB (574 words) - 20:34, 2 November 2023
• 2006 SMT/General Problems
  ...at is the probability that '''exactly''' nine letters were inserted in the proper envelopes?
  10 KB (1,477 words) - 16:02, 27 May 2012
• User talk:Snailgar
  ...sfy concerning the dental services. The emergency scenario there isn't any proper time keep up to deal with the patient extremely quickly to obtain the treat
  3 KB (537 words) - 01:55, 17 October 2013
• 1966 AHSME Problems/Problem 39
  First, let's write <math>F_1</math> as a proper fraction in base <math>R_1</math>. To do that, note that:
  2 KB (370 words) - 19:57, 2 April 2022

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