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• Power of a Point
  #REDIRECT [[Power of a Point Theorem]]
  38 bytes (6 words) - 16:53, 15 April 2019
• Root-mean power
  ...Geometric Mean: 0 (theoretical, can't be solved using radicals), Harmonic Mean: -1
  539 bytes (92 words) - 01:01, 2 November 2023
• 2023 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2023/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2023/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 21:17, 20 January 2024
• 2022 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2022/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2022/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 21:30, 20 January 2024
• 2021 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2021/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2021/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 21:39, 20 January 2024
• 2020 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2020/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2020/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:28, 22 January 2024
• 2019 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2019/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2019/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:34, 22 January 2024
• 2018 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2018/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2018/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:20, 29 January 2024
• 2014 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2014/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2014/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:25, 29 January 2024
• 2013 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2013/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2013/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:20, 5 February 2024
• 2012 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2012/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2012/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:25, 5 February 2024
• 2011 Power
  * [https://www.stanfordmathtournament.com/pdfs/smt2011/power-problems.pdf/ Problems] * [https://www.stanfordmathtournament.com/pdfs/smt2011/power-solutions.pdf/ Solutions]
  171 bytes (18 words) - 22:29, 5 February 2024
• Power of a point theorem
  6 KB (1,010 words) - 02:38, 7 May 2024

Page text matches

• Circle
  *Lengths of chords can be calculated by using the [[Power of a point]] theorem. * [[Power of a point]]
  9 KB (1,581 words) - 18:59, 9 May 2024
• Divisor
  ...s often useful to know that this expression grows slower than any positive power of <math>{n}</math> as <math>n\to\infty</math>.
  1 KB (274 words) - 19:50, 29 August 2023
• Base numbers
  ...r in 2746 is actually just a placeholder which shows how many of a certain power of 10 there are. The first digit to the left of the decimal place (recall
  4 KB (547 words) - 17:23, 30 December 2020
• National Online Math League
  ...ilar to that used by the [[American Regions Math League]]: a Team test, a Power question, and several Relays. However, one match used an experimental form
  3 KB (452 words) - 11:21, 25 June 2006
• Least common multiple
  ...me number]] which divides any of them, take the largest [[exponentiation | power]] with which it appears, and multiply the results together. For example, t ...; the largest power of 3 that appears is <math>3^1</math>; and the largest power of 5 that appears is <math>5^1</math>. Therefore the LCM, <math>LCM(8, 12,
  2 KB (383 words) - 10:49, 4 September 2022
• Pi
  ...> is Liouvillian, then so is any rational multiple of any positive integer power of <math>x</math> (this is a simple exercise we leave to the reader), so, i Since the largest possible power of a given [[prime number|prime]] <math>p\le n</math> that can divide one o
  8 KB (1,469 words) - 21:11, 16 September 2022
• Logarithm
  ...ogs also allow (with repetition) to turn left to right exponentiation into power towers (especially useful for tetration (exponentiation repetition with the ...to the usual logarithm by the fact that if <math>b</math> isn't an integer power of <math>a</math> then <math>\lceil \log_a(m)\rceil</math> is a lower bound
  4 KB (680 words) - 12:54, 16 October 2023
• Utah ARML
  ...d in the B division, but was mislisted in the A division. However, on the Power Question, the Utah team got the 9th best score in the nation, which would h
  565 bytes (88 words) - 12:29, 11 December 2007
• Vocabulary and spelling competitions
  * [[Reader's Digest National Word Power Challenge | Word Power Challenge]] The premier vocabulary competition, for 6-8th grades. Over 3 mi
  786 bytes (99 words) - 17:53, 22 June 2006
• Vocabulary competitions
  * [[Reader's Digest National Word Power Challenge | Word Power Challenge]] The premier vocabulary competition, for 6-8th grades. Over 3 mi
  392 bytes (50 words) - 02:36, 29 November 2018
• Mathew Crawford
  * Headed up the grading of the Power Round for the Georgia ARML site (2010)
  2 KB (360 words) - 02:20, 2 December 2010
• Fermat's Last Theorem
  ...to be the sum of two fourth powers, or in general for any number that is a power greater than the second to be the sum of two like powers. ''I have discover
  3 KB (453 words) - 11:13, 9 June 2023
• Diophantine equation
  Note that every square, and therefore every fourth power, is either <math>1</math> or <math>0\mod 4</math>. The proof of this is fai
  9 KB (1,434 words) - 13:10, 20 February 2024
• Pascal's triangle
  ...s Theorem, which states that given a prime p and integers m,n, the highest power of p dividing <math>\binom{m}{n}</math> is the number of carries in adding
  5 KB (838 words) - 17:20, 3 January 2023
• Newton's Sums
  ...cient way of finding the sums of [[root]]s of a [[polynomial]] raised to a power. They can also be used to derive several [[factoring]] [[identity|identiti
  4 KB (690 words) - 13:11, 20 February 2024
• Exponentiation
  ...ten in the form <math>a^b</math>, where <math>b</math> is the exponent (or power) and <math>a</math> is the [[base]]. ...times. The base is 3 (what is repeatedly multiplied) and the exponent (or power) is 5 (the number of times to repeat multiplication).
  5 KB (803 words) - 16:25, 10 August 2020
• Root-Mean Square-Arithmetic Mean-Geometric Mean-Harmonic mean Inequality
  ...root-mean power]], [[arithmetic mean]], [[geometric mean]], and [[harmonic mean]] of a set of [[positive]] [[real number]]s <math>x_1,\ldots,x_n</math> th ...,~~0<n_2<1,~~-1<n_3<0,~~n_4<-1</math>, and <math>n</math> is the root mean power.
  5 KB (912 words) - 20:06, 14 March 2023
• Power of a Point Theorem
  The '''Power of a Point Theorem''' is a relationship that holds between the lengths of t ...ugh <math>P</math> that intersects the circle. This constant is called the power of point <math>P</math>. For example, in the figure below
  5 KB (827 words) - 17:30, 21 February 2024
• Alt front page
  ...><br>Cacti is a complete network graphing solution designed to harness the power of RRDTool's data storage and graphing functionality. Cacti provides a fast
  2 KB (329 words) - 17:25, 8 June 2008
• Rational approximation of famous numbers
  ..., that <math>x</math> is not a [[Liouvillian number]], i.e., that for some power <math>M<+\infty</math>, the [[inequality]] <math>\left|x-\frac pq\right|\ge Since the largest possible power of a given prime <math>p\le n</math> that can divide one of the numbers <ma
  8 KB (1,431 words) - 13:48, 26 January 2008

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