Create the page "If only" on this wiki! See also the search results found.

• 1999 JBMO Problems/Problem 1
  .../math>, <math> b^3 + bx + y = 0</math> and <math> c^3 + cx + y = 0</math>. If <math> a,b,c</math> are all distinct numbers prove that their sum is zero.
  1 KB (205 words) - 14:05, 30 March 2019
• AMC 10
  '''These should be taken if a student is having trouble or wants a more clear and confirmed understandi
  4 KB (574 words) - 15:28, 22 February 2024
• American Invitational Mathematics Examination
  ...]], [[AMC 12]], and [[USAMTS]] competitions. Qualification through USAMTS only is rare, however. Each answer is an integer from 000 to 999, inclusive, mak ...section which are not in the AoPSWiki, please consider adding them. Also, if you notice that a problem in the Wiki differs from the original wording, fe
  8 KB (1,057 words) - 12:02, 25 February 2024
• 1954 AHSME Problems/Problem 46
  In the diagram, if points <math>A, B</math> and <math>C</math> are points of tangency, then <m
  3 KB (415 words) - 18:01, 24 May 2020
• 2015 IMO Problems
  if, for any two different points <math>A</math>, <math>B</math> in <math>\math <math>\mathcal{S}</math> is <i>centre-free</i> if for any three points <math>A</math>, <math>B</math>, <math>C</math> in
  4 KB (692 words) - 22:33, 15 February 2021
• American Regions Mathematics League
  Find out if your area has a team already. Contact ARML for details. If your area does not already have a team, ask ARML how to start one.
  2 KB (267 words) - 17:06, 7 March 2020
• Joining an ARML team
  ...o-Xue at xinkeguoxue@gmail.com, or message Xinke's AoPS account "hurdler", if you are interested in trying out for the Alabama team. A student who wishes to attend practice should try to take the SDMO. If a student wishes to speak with one of the coaches for the team, they may do
  21 KB (3,500 words) - 18:41, 23 April 2024
• Mathematics Olympiads
  ...] and do well on it to qualify for it). Another in USA is [[USAMTS]] which if you do well can qualify for [[AIME]]. Both Olympiads are from USA & are pro
  891 bytes (116 words) - 16:42, 2 January 2021
• Biology scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl
  1 KB (184 words) - 21:01, 12 December 2018
• Chemistry scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl
  1 KB (182 words) - 22:00, 4 February 2017
• Physics scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl
  2 KB (229 words) - 12:37, 8 July 2019
• Technology scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl
  3 KB (345 words) - 17:54, 16 June 2023
• Computer science and technology scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl ...in exchange for service at a federal agency. At participating institutions only. [https://www.sfs.opm.gov/ website]
  3 KB (427 words) - 16:18, 25 February 2021
• Engineering scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl
  4 KB (511 words) - 14:57, 16 July 2020
• Community Service Scholarships
  ...tingy about letting students in on how they can finance their educations! If you are unfamiliar with how to edit a Wiki and don't have time to learn, pl
  3 KB (350 words) - 01:18, 19 June 2016
• Mu Alpha Theta
  You may only take one type of test a year for every competition, depending on how many c ...ped if it becomes evident that one of the contestants cannot possibly win. If Big Bird has answered his questions correctly 75% of the time and Barney ha
  4 KB (632 words) - 17:09, 11 October 2020
• Power Mean Inequality
  \prod_{i=1}^n a_i^{w_i} &\text{if } t=0 \\ ...math> and <math>k_2</math>, and equal weights (i.e. <math>w_i=1/n</math>), if <math>k_1>k_2</math>, then
  3 KB (606 words) - 23:59, 1 July 2022
• Wilson's Theorem
  ..., then <math>(p-1)! + 1</math> is divisible by <math>p</math> if and only if <math>p</math> is prime. It was stated by John Wilson. The French mathemati ...) This inverse is unique, and each number is the inverse of its inverse. If one integer <math>a</math> is its own inverse, then
  4 KB (639 words) - 01:53, 2 February 2023
• 1953 AHSME Problems/Problem 13
  ...angle and a trapezoid are equal in area. They also have the same altitude. If the base of the triangle is 18 inches, the median of the trapezoid is:
  878 bytes (143 words) - 20:56, 1 April 2017
• Trivial Inequality
  ...the closure of the set of positive numbers under multiplication. Finally, if <math>x<0</math>, then <math>x^2 = (-x)(-x) > 0,</math> again by the closur ...<math>a</math> is positive and <math>ax^2+bx+c\le c-\frac{b^2}{4a}</math> if <math>a</math> is negative.
  3 KB (560 words) - 22:51, 13 January 2024

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