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• Heron's Formula
  ...tain triangle with side lengths with quantities with square roots. One can remember this formula by noticing that when finding the cosine of an angle in a tria
  4 KB (675 words) - 00:05, 22 January 2024
• Factorial
  * <math>0! = 1</math> (remember! this is 1, not 0! (the '!' was an exclamation mark, not a factorial sign))
  10 KB (809 words) - 16:40, 17 March 2024
• Muirhead's Inequality
  ...ding to each permutation of the variables <math>x_1,x_2,\ldots,x_n</math>. Remember that the brackets <math>[\cdot]</math> are representing also a summation <m
  8 KB (1,346 words) - 12:53, 8 October 2023
• Law of Cosines
  Now remember our equation?
  6 KB (1,003 words) - 09:11, 7 June 2023
• Trigonometry
  A common mnemonic to remember this is '''SOH-CAH-TOA''', where '''S'''ine = '''O'''pposite / '''H'''ypote
  8 KB (1,217 words) - 20:15, 7 September 2023
• Root-Mean Square-Arithmetic Mean-Geometric Mean-Harmonic mean Inequality
  Taking the square root to both sides (remember that both are positive):
  5 KB (912 words) - 20:06, 14 March 2023
• 2005 AMC 12B Problems/Problem 23
  First, remember that <math>x^3 + y^3</math> factors to <math>(x + y) (x^2 - xy + y^2)</math
  5 KB (786 words) - 16:49, 31 January 2023
• Sohcahtoa
  '''Sohcahtoa''' is a useful mnemonic to remember how to find the [[sine]], [[cosine]], and the [[tangent]] of angles in a tr
  285 bytes (39 words) - 11:29, 2 August 2006
• Set
  ...aradox]]: consider the property, "is a set and does not contain itself." (Remember that, given a set, we should be able to tell about '''every''' object wheth
  11 KB (2,021 words) - 00:00, 17 July 2011
• 2004 AIME II Problems/Problem 14
  ...</math>'s as <math>24 + 112 , 24 + 103 , 24 + 94, \cdots ,24 + 22</math> (remember <math>n = 3a + 2b + c</math> and if you have difficulty in understanding ho
  11 KB (1,857 words) - 21:55, 19 June 2023
• 2001 AIME I Problems/Problem 10
  Finally, we remember that there are four distinct space diagonals in a box, so we should multipl
  8 KB (1,187 words) - 02:40, 28 November 2020
• 2002 AIME II Problems/Problem 12
  ...e on attempt 3, 4, 5, 6, or 7. The easiest way to count the problem is to remember that each X may slide to the right, but NOT to the left.
  7 KB (1,127 words) - 13:34, 19 June 2022
• 2002 AIME II Problems/Problem 11
  ...subtract these equations, getting <cmath>x^2 - a^2 + ar - xy = x-a</cmath>Remember <cmath>ar=xy</cmath>, so <cmath>(x-a)(x+a-1) = 0</cmath>Then considering ca
  4 KB (696 words) - 16:27, 22 March 2022
• Quadratic reciprocity
  ...her [[ring of integers|rings of integers]]. (I'll put that here later if I remember.)
  7 KB (1,182 words) - 16:46, 28 April 2016
• Sigma notation
  ...ts the sum with, and ends with the upper limit of summation 5. One way to remember the terms is to note that the lower limit of summation is written ''under''
  2 KB (335 words) - 17:17, 8 February 2024
• Base numbers/Conversion
  ...<math>1000_{13}</math> to base 10. So, this is just <math>13^{3}</math>. Remember that we aren't doing this in our regular decimal system, so <math>13^3\neq
  7 KB (1,177 words) - 15:56, 18 April 2020
• 2007 iTest Problems
  ...math>, and recalled that their product is <math>24</math>, but he didn’t remember the values of the three integers themselves. What he really needed was thei
  33 KB (5,177 words) - 21:05, 4 February 2023
• 2003 AMC 12A Problems/Problem 25
  ...b^2}{4a}} \le \sqrt{\frac{-b^2}{4a}}</math> by the [[Trivial Inequality]] (remember that <math>a \le 0</math>). Since <math>f</math> is continuous and assumes
  9 KB (1,606 words) - 11:34, 10 July 2020
• Power's of 2 in pascal's triangle
  Remember that <math>\binom{n}{r}=\frac{n!}{k!(n-k)!}</math> where <math>n \ge r</mat
  2 KB (341 words) - 16:57, 16 June 2019
• LaTeX:Math
  ...written in math mode. In fact, most math will generate errors if you don't remember to put it in math mode.
  8 KB (1,323 words) - 15:09, 3 December 2020

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