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• Unique factorization domain
  ...arithmetic]] holds. More precisely an integral domain <math>R</math> is a unique factorization domain if for any nonzero element <math>r\in R</math> which i * This representation is unique up to units and reordering, that is if <math>r = p_1p_2\cdots p_n = q_1q_2\
  6 KB (1,217 words) - 23:05, 23 August 2009

Page text matches

• Art of Problem Solving
  The accomplishments of every student are unique, and there is no way to measure that success. However, we try to record an
  5 KB (667 words) - 17:09, 3 July 2023
• Wilson's Theorem
  ...math>a</math> or <math>b-c</math>&mdash;a contradiction.) This inverse is unique, and each number is the inverse of its inverse. If one integer <math>a</ma
  4 KB (639 words) - 01:53, 2 February 2023
• Polynomial
  ...n the coefficients of the polynomial. We can solve this system and find a unique solution when we have as many equations as we do coefficients. Thus, given
  6 KB (1,100 words) - 01:44, 17 January 2024
• Fermat's Little Theorem
  ...uct of cyclic groups of prime order where the set of prime power orders is unique. We can do this because if any two prime powers are not coprime then <math
  16 KB (2,675 words) - 10:57, 7 March 2024
• Orthic triangle
  Orthic triangles are not unique to their mother triangle; one acute and one to three obtuse triangles are g
  8 KB (1,408 words) - 11:54, 8 December 2021
• Prime number
  ...a product of primes ([[permutation|permutations]] not withstanding). This unique [[prime factorization]] plays an important role in solving many kinds of [[
  6 KB (985 words) - 12:38, 25 February 2024
• Prime factorization
  ...tal Theorem of Arithmetic]] tells us that every [[positive integer]] has a unique prime factorization, up to changing the order of the terms.
  3 KB (496 words) - 22:14, 5 January 2024
• National Online Math League
  ...League''' ('''NOML'''), formerly known as the '''Cody Bowl''', is a highly unique and challenging [[mathematics competition]] for high school and college stu
  3 KB (452 words) - 11:21, 25 June 2006
• Chain Rule
  ...at <math>{x}</math>.") If such a matrix <math>M</math> exists, then it is unique, and it is called <math>F'(x)</math>. Intuitively, the fact that <math>\fr
  12 KB (2,377 words) - 11:48, 22 July 2009
• Fermat's Last Theorem
  ...e this video link for detailed explanation of the proof and the concept of unique factorization: https://youtu.be/jfDbnz-Bp_g
  3 KB (453 words) - 11:13, 9 June 2023
• Improper fractional base
  ...ation in an improper fractional base. (Note that this means there is not a unique representation for each number in an improper fractional base.)
  787 bytes (118 words) - 19:20, 23 October 2010
• Twin Prime Conjecture
  ...math>\{mP_n+a_1\}</math> and out of all of the generated elements there is unique element <math>m_1P_n+a_1</math> divisible by <math>p_{n+1}</math> ...math>\{mP_n+a_2\}</math> and out of all of the generated elements there is unique element <math>m_2P_n+a_2</math> divisible by <math>p_{n+1}</math>
  7 KB (1,193 words) - 14:18, 7 January 2022
• Incenter
  ...is the center of the [[incircle]]. Every [[nondegenerate]] triangle has a unique incenter.
  2 KB (381 words) - 19:38, 24 November 2011
• Mathematicial notation
  <math>\mathbb{Z}</math>: the [[integer]]s (a [[unique factorization domain]]).
  8 KB (1,401 words) - 13:11, 17 June 2008
• Riemann zeta function
  of a unique combination of [[prime number]]s, the zeta function can be
  9 KB (1,547 words) - 03:04, 13 January 2021
• Perfect square
  ...adratic equation that have <math>3</math> terms and contain <math>1</math> unique root.
  954 bytes (155 words) - 01:14, 29 November 2023
• Limit
  ...e unique. Fortunately, it is always the case that if a limit exists, it is unique. a contradiction. Therefore limits are unique, as we wanted.
  7 KB (1,325 words) - 13:51, 1 June 2015
• 2002 AMC 12A Problems
  The mean, median, unique mode, and range of a collection of eight integers are all equal to 8. The l
  12 KB (1,792 words) - 13:06, 19 February 2020
• 2006 AMC 12A Problems/Problem 24
  ...f(x)</math> where the coefficient of <math>x^k</math> equals the number of unique terms in <math>(x+y+z)^k + (x-y-z)^k</math>. ...ome constant. Therefore, the generating function for the MAXIMUM number of unique terms possible in the simplified expression of <math>(x+y+z)^k + (x-y-z)^k<
  8 KB (1,332 words) - 17:37, 17 September 2023
• OpenCourseWare
  '''OpenCourseWare''' is a unique resource offered by [[MIT]]. There are course decriptions, sample syllabi,
  289 bytes (40 words) - 12:20, 3 July 2006

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