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• MATHCOUNTS
  Give the following competitions a try and take a look at the [[List of United States high school mathematics comp
  10 KB (1,505 words) - 17:51, 4 October 2024
• Art of Problem Solving
  ...dent are unique, and there is no way to measure that success. However, we try to record and celebrate [[AoPS Community Awards | achievements of AoPS stud
  5 KB (658 words) - 09:03, 3 November 2024
• Physics books
  * Try [https://isaacphysics.org/ IsaacPhysics] for additional practice problems.
  10 KB (1,410 words) - 12:07, 20 February 2024
• Physics
  ...rted with the first scientist, [[Thales]] of Miletus, who was the first to try to systematically explain the world using theories and hypotheses instead o
  9 KB (1,355 words) - 06:29, 29 September 2021
• Joining an ARML 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 ...hes to contact Mr. Schwartz and ask to attend the weekly ARML practices to try out for the teams.
  22 KB (3,532 words) - 10:25, 27 September 2024
• 1965 AHSME Problems/Problem 40
  We can then try <math>(x^2+3x+1)=x^4+6x^3+11x^2+6x+1</math>.
  3 KB (571 words) - 23:42, 21 October 2021
• Fermat's Little Theorem
  * Hint: try to establish the identity <math>x^{p} - x \equiv x(x-1)(x-2) \cdots (x-(p-1
  16 KB (2,660 words) - 22:42, 28 August 2024
• Contest strategies
  ...lems in disguise. Also, one can look at strategies from past problems and try to use that here. Also, Ronan talked about “wishful thinking” — tryi
  3 KB (544 words) - 13:14, 26 August 2024
• Overcounting
  Here is MATHCOUNTS 2008 National Target #1: Try to solve this. ...<math>n</math>.So there will be <math>n*(n-1)</math> handshakes. Now let's try our formula for two people. According to the formula we get 2 handshakes, b
  4 KB (635 words) - 11:19, 2 January 2022
• Fundamental Theorem of Calculus
  ...but don't know the Fundamental Theorem of Calculus yet, and would like to try to figure it out. (Actually there are two different but related Fundamenta
  11 KB (2,082 words) - 14:23, 2 January 2022
• Complex number
  The '''complex numbers''' arise when we try to solve [[equation]]s such as <math> x^2 = -1 </math>.
  5 KB (860 words) - 14:36, 10 December 2023
• Exponentiation
  Try to figure out <math>b^{\frac{2}{3}}</math> -- how does it relate to <math>b
  5 KB (803 words) - 15:25, 10 August 2020
• Rational approximation
  ...tion <math>\frac pq</math> as small as we wish. The problem is that, as we try to make <math>\frac pq</math> closer and closer to <math>x</math>, we may h ...theorem can be generalized in various ways. The first way is that one can try to approximate several numbers simultaneously by fractions with common deno
  7 KB (1,290 words) - 11:18, 30 May 2019
• Euler's number
  ...r, and <math>f(x) = b^x</math> for all real numbers <math>x</math>. Let's try to figure out what <math>f'(x)</math> is.
  4 KB (764 words) - 20:09, 13 March 2022
• Riemann Hypothesis
  ...ere <math>\mu(n)</math> refers to the [[Möbius function]]. Then one might try to show that <math>\frac{1}{\zeta(s)}</math> admits an [[analytic continuat
  2 KB (425 words) - 02:18, 29 June 2024
• Mock AMC
  ...e running out of creative juice and decide to pull problems from contests, try using problems from obscure contests first, if possible. This way, even th
  51 KB (6,135 words) - 05:44, 2 November 2024
• 2006 AIME I Problems/Problem 15
  ...cdots</math> after each <math>-6</math> value. Thus, we will apply this to try and find some bounds. We can test if the first <math>1000</math> pairs of n
  8 KB (1,334 words) - 17:02, 20 September 2024
• 2006 AIME I Problems/Problem 13
  Since <math>n<1000</math>, we have <math>n+1 < 1001</math>. We first try <math>n+1 = 31^2 = 961</math>(since it is the smallest square below <math>1 Next, we try the second smallest value, which is <math>n = 30^2 = 900</math>, which tell
  10 KB (1,702 words) - 21:23, 25 July 2024
• 2006 AMC 12B Problems/Problem 18
  <math>10</math> moves results in a lot of possible endpoints, so we try small cases first.
  2 KB (354 words) - 15:57, 28 December 2020
• 2006 AMC 12B Problems/Problem 22
  Intuition may now try to lure us to split <math>2006</math> into <math>a+b+c</math> as evenly as
  5 KB (881 words) - 14:52, 23 June 2021

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