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• 2000 AIME I Problems/Problem 11
  ...f 2. Essentially, all we have to do is a large scale distributive property application. There is nothing complicated about this except to be careful.
  4 KB (667 words) - 13:58, 31 July 2020
• 2006 USAMO Problems/Problem 3
  ...such that <math>p(f(n^2)) - 2n\leq M</math> for all <math>n\geq 0</math>. Application of the lemma to <math>f(x^2)</math> shows that there is an infinite sequenc
  9 KB (1,699 words) - 13:48, 11 April 2020
• Dedekind domain
  As an application of this, we get that <math>\gcd(I,J) = I+J</math> and <math>\text{lcm}(I,J)
  9 KB (1,648 words) - 16:36, 14 October 2017
• Distance formula
  The '''distance formula''' is a direct application of the [[Pythagorean Theorem]] in the setting of a [[Cartesian coordinate s
  2 KB (340 words) - 18:34, 8 September 2018
• Circumcenter
  ...e aren't any [[cevians]] in the diagram which would be needed for a direct application of Ceva's Theorem. Thus, we look for a way to make some by drawing in help
  2 KB (389 words) - 14:17, 4 August 2020
• AwesomeMath
  === Application steps for new students === Step 2. Complete the Online Application Form
  1 KB (195 words) - 11:19, 30 November 2023
• Hampshire College Summer Studies in Mathematics
  You can apply to HCSSiM at http://hcssim.org. The application process includes a friendly letter, a recommendation by a sponsor, and taki
  2 KB (253 words) - 21:57, 13 May 2017
• Computer programming
  ...Perl, PHP, and Ruby. HTML (HyperText Markup Language) and XML (Extensible Application Markup Language) are markup languages. It is not considered as a programmin
  967 bytes (140 words) - 21:02, 7 August 2023
• 2007 AIME I Problems/Problem 12
  ...<math>\frac{15}{2}</math> and <math>90 - \frac{15}{2}</math>. By repeated application of the [[trigonometric identity|half-angle formula]], we can find that <mat
  10 KB (1,458 words) - 20:50, 3 November 2023
• LaTeX:Downloads
  '''VerbTeX LaTeX Editor''' is an application software which can run in Android OS. So, you can use this app on your Andr
  8 KB (1,318 words) - 01:16, 28 February 2022
• Oakland University Summer Mathematics Institue
  ...e 6 week program. Various classes are available. Students must complete an application.
  330 bytes (43 words) - 18:07, 28 June 2007
• Sum and difference of powers
  ...seful in problems that might have a sum of powers expression as well as an application of the binomial theorem.
  3 KB (450 words) - 06:25, 6 May 2024
• 2007 AMC 12A Problems/Problem 9
  Note: The identity can be given from an application of <math>t=\frac dr</math>.
  5 KB (804 words) - 14:55, 21 August 2022
• 2007 AMC 12A Problems/Problem 19
  ...ed on their respective y-lines of <math>\pm 18</math>), we can use an easy application of the [[Shoelace Theorem]] to figure out the values of X. Since we already
  4 KB (565 words) - 17:01, 2 April 2023
• 2001 IMO Problems/Problem 3
  ...uch that at least three boys solved that common problem. (This is a simple application of the pigeon hole principle where the problems solved by the girl are the
  2 KB (453 words) - 07:27, 26 November 2020
• IDEAMATH
  ...There is also an early application which closes in the middle of May. The application test is good for the whole school year.
  4 KB (648 words) - 03:13, 15 February 2021
• Proofs of AM-GM
  For equality, note that every AM-GM application mentioned must have equality as well; thus, inequality holds if and only if
  12 KB (2,171 words) - 07:55, 11 May 2023
• 2008 AIME II Problems/Problem 7
  Also, Newton's Sums yields an answer through the application.
  7 KB (1,251 words) - 19:18, 2 January 2024
• 2008 USAMO Problems/Problem 2
  ...vely, intersect on <math>\odot{NOP}</math> (this is the Anti-Steiner point application). Therefore, <math>F</math>, the intersection of <math>BD</math> and <math>
  20 KB (3,565 words) - 11:54, 1 May 2024
• Burnside's Lemma
  == Application ==
  5 KB (757 words) - 18:11, 23 October 2023
• 1998 AHSME Problems/Problem 28
  By the application of ratio lemma for <math>\frac{CD}{BD}</math>, we get <math>\frac{CD}{BD} =
  4 KB (662 words) - 00:51, 3 October 2023
• 2001 IMO Shortlist Problems/G1
  An application of the trigonometric version of Ceva's Theorem shows that <math>AA_2</math>
  3 KB (584 words) - 15:07, 12 December 2011
• Carnot's Theorem
  ...B</math> respectively. Note that <math>PB^2-PC^2=XB^2-XC^2</math> from the application of pythogorean theorem to triangles <math>PXB,PXC</math>. Now with similar
  4 KB (723 words) - 01:45, 18 February 2021
• Coca-Cola Scholars Foundation
  ...,200 Semi-Finalists are chosen, who then have to complete a more extensive application, due in mid-January. 250 Finalists are then chosen and flown to Atlanta, Ge More information and the application can be found at [https://www.coca-colascholars.org/ coca-colascholars.org]
  1 KB (161 words) - 15:35, 12 June 2010
• Two Tangent Theorem
  From a simple application of the [[Power of a Point Theorem]], the result follows.
  566 bytes (93 words) - 22:47, 5 December 2023
• Cauchy's Integral Formula
  by application of [[Cauchy's Integral Theorem]].
  4 KB (689 words) - 17:19, 18 January 2024
• 2004 USAMO Problems/Problem 2
  ...math>y</math>. By (b), <math>x - y</math> is in <math>S</math>, and by the application of (c) above, we get that <math>n(x - y)</math> for integers <math>n</math>
  3 KB (508 words) - 14:23, 17 July 2014
• Radical axis
  The proof of the lemma is an easy application of the Pythagorean Theorem and will again be left to the reader as an exerc
  10 KB (1,797 words) - 02:05, 24 October 2023
• API:Product:get weight
  ...s function locally so as to limit the number of server API calls that your application makes. '''AoPSAPI_Exception::INVALID_PERMISSIONS''' - API Application does not have permission to submit order
  2 KB (283 words) - 17:58, 28 May 2009
• API::Order::generate
  '''AoPSAPI_Exception::INVALID_PERMISSIONS''' - API Application does not have permission to submit order
  3 KB (381 words) - 15:17, 3 June 2009
• Broadcom MASTERS
  ...cipants to enter this prestigious competition. After submitting the online application, 300 semifinalists are selected and 30 finalists present their research pro
  694 bytes (88 words) - 09:45, 23 December 2016
• National Merit Scholarship Program
  ...eet the cutoff score (varies by state and from year-to-year) can begin the application process for the National Merit Scholarship Program. ...senior year that they have qualified as semifinalists. After completing an application, most of the semifinalists (about 15,000) are notified in February that the
  1 KB (173 words) - 10:33, 23 July 2010
• AXA Achievement Scholarship
  More information and the application (starting in the fall) can be found at [http://www.axa-equitable.com/axa-fo
  818 bytes (107 words) - 16:12, 14 June 2010
• Ronald McDonald House Charities Scholarships
  * Submit an application and required documentation by the deadline
  941 bytes (130 words) - 10:50, 23 July 2010
• Banneker/Key Scholarships
  ...an applicants admitted to the Honors College are considered (no additional application materials).
  1 KB (148 words) - 11:24, 23 July 2010
• Charpie Scholarship
  * No additional application materials are required.
  898 bytes (119 words) - 02:04, 1 April 2015
• Murray Scholars
  ...f the in-state tuition for our out-of-state students. There is no separate application. All applicants to the school are considered; potential finalists are asked
  475 bytes (73 words) - 22:24, 15 June 2010
• Davidson Fellows Scholarship
  ...Submission Overview Form will be due in February followed by the complete application in early March. Each applicant must have '''three''' nominators. More information and the application can be found at [http://www.davidsongifted.org/fellows/ davidsongifted.org]
  1 KB (202 words) - 16:34, 14 June 2010
• The James L. and Nellie M. Westlake Scholarship Program
  ...estlake/ sms.scholarshipamerica.org/westlake] for more information and the application.
  897 bytes (134 words) - 16:44, 14 June 2010
• Hesburgh-Yusko Scholars Program
  There is no direct application for the scholarship. Instead, if your school has been notified that it is e ...from schools and the Admissions Office) are invited to apply with another application. From those applications, 100 semi-finalists are chosen. They are then all
  1 KB (153 words) - 23:22, 14 June 2010
• Charles R. Westgate Scholarship in Engineering
  There is no separate application for the scholarship. Any application to the school submitted by January 1 and expressing an interest majoring in
  809 bytes (119 words) - 17:34, 15 June 2010
• Wake Forest Merit-Based Scholarships
  ...sed scholarships do not require separate applications. Instead, a complete application for undergraduate admissions submitted by January 1 is all that is needed.
  430 bytes (60 words) - 22:02, 15 June 2010
• Rice Merit Scholarships
  ...e full tuition and is renewable for up to four years. There is no separate application. Recipients will be made aware at the time they are made aware of their adm ...le for four-year scholarships worth the full tuition. There is no separate application. Recipients will be made aware at the time they are made aware of their adm
  621 bytes (95 words) - 22:05, 15 June 2010
• Presidential Scholars Program
  There is no separate application for the program. All who apply through Early Action (November 1) will be co
  799 bytes (123 words) - 19:08, 16 June 2010
• Regents Scholarship Program
  ...mpete for the UCLA Regents scholarship. Students then go through a further application process and are selected on the basis of demonstrated academic excellence,
  725 bytes (110 words) - 20:16, 16 June 2010
• McCabe Scholars
  ...ylvania (Chester, Montgomery, and Delaware counties). There is no separate application or selection process. Rather, all students who apply (both early and regula
  507 bytes (77 words) - 20:33, 16 June 2010
• The Ross Program
  *Students' performance on application problems *Several application essays
  3 KB (474 words) - 20:48, 28 May 2013
• Program in Mathematics for Young Scientists
  =Application=
  2 KB (265 words) - 21:56, 4 February 2017
• CIA Undergraduate Scholar Program
  ...res currently enrolled in a 4- or 5-year college program are eligible. The application period is '''August 1 - October 15'''.
  2 KB (228 words) - 11:04, 23 July 2010
• 2011 AMC 12A Problems/Problem 11
  ...DBM</math> is 90 degrees, since <math>CDBM</math> is a square, due to the application of the tangent chord theorem at point <math>M</math>)
  3 KB (515 words) - 19:56, 10 August 2023

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