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  • ...<math>z'=\frac{i}{z}</math> where <math>z \in \mathcal{T}</math> and <math>i=\sqrt{-1}</math>. If the area enclosed by <math>\mathcal{T}'</math> is <mat ...e complex plane and you will find that the locus of all points <math>\frac{i}{z}</math> is the intersection of two circles and has area <math>75\pi+50</
    887 bytes (154 words) - 16:37, 4 October 2020
  • ...C</math> be a triangle with circumcenter <math>O</math> and incenter <math>I</math> such that the lengths of the three segments <math>AB</math>, <math>B {{CIME box|year=2019|n=I|num-b=13|num-a=15}}
    708 bytes (117 words) - 19:51, 15 January 2024
  • {{CIME box|year=2019|n=I|num-b=12|num-a=14}}
    473 bytes (77 words) - 01:23, 8 March 2024
  • ...Find the sum of all the positive integers which are not <i>multiplicative</i>. The positive integers which are not <i>multiplicative</i> are <math>1, 2, 3, 4, 5, 6, 8, 12, 24</math>. These sum to <math>\boxed{65
    563 bytes (95 words) - 15:04, 6 October 2020
  • ...er less than or equal to <math>\frac{\mathcal{F}_{2019}(864)}{\mathcal{F}_{2019}(648)}</math>. ...and using the hockey stick identity for each exponent) to obtain <math>F_{2019}(p^e)=\binom{e+2018}{2018}</math>.
    2 KB (264 words) - 16:57, 4 October 2020
  • {{CIME box|year=2019|n=I|num-b=9|num-a=11}}
    932 bytes (167 words) - 20:52, 19 February 2021
  • * for any <math>i \neq j,</math> if <math>b_{ij}</math> is the <math>(i \cdot j)^{\text{th}}</math> number not in the sequence<math>,</math> then < {{CIME box|year=2019|n=I|num-b=8|num-a=10}}
    676 bytes (107 words) - 15:28, 6 October 2020
  • {{CIME box|year=2019|n=I|num-b=7|num-a=9}}
    580 bytes (100 words) - 15:09, 13 October 2020
  • {{CIME box|year=2019|n=I|num-b=6|num-a=8}}
    524 bytes (85 words) - 14:26, 14 October 2020

Page text matches

  • '''2020 [[CIME|CIME]] I''' problems and solutions. The test was held on Friday, January 3, 2020. Th * [[2020 CIME I Problems|Entire Test]]
    1 KB (134 words) - 23:48, 4 September 2020
  • ...<math>z'=\frac{i}{z}</math> where <math>z \in \mathcal{T}</math> and <math>i=\sqrt{-1}</math>. If the area enclosed by <math>\mathcal{T}'</math> is <mat ...e complex plane and you will find that the locus of all points <math>\frac{i}{z}</math> is the intersection of two circles and has area <math>75\pi+50</
    887 bytes (154 words) - 16:37, 4 October 2020
  • {{CIME Problems|year=2020|n=I}} [[2020 CIME I Problems/Problem 1 | Solution]]
    7 KB (1,188 words) - 17:00, 31 August 2020
  • {{CIME Problems|year=2020|n=II}} [[2020 CIME II Problems/Problem 1|Solution]]
    8 KB (1,298 words) - 17:32, 7 January 2021
  • ...C</math> be a triangle with circumcenter <math>O</math> and incenter <math>I</math> such that the lengths of the three segments <math>AB</math>, <math>B {{CIME box|year=2019|n=I|num-b=13|num-a=15}}
    708 bytes (117 words) - 19:51, 15 January 2024
  • {{CIME box|year=2019|n=I|num-b=12|num-a=14}}
    473 bytes (77 words) - 01:23, 8 March 2024
  • ...Find the sum of all the positive integers which are not <i>multiplicative</i>. The positive integers which are not <i>multiplicative</i> are <math>1, 2, 3, 4, 5, 6, 8, 12, 24</math>. These sum to <math>\boxed{65
    563 bytes (95 words) - 15:04, 6 October 2020
  • ...er less than or equal to <math>\frac{\mathcal{F}_{2019}(864)}{\mathcal{F}_{2019}(648)}</math>. ...and using the hockey stick identity for each exponent) to obtain <math>F_{2019}(p^e)=\binom{e+2018}{2018}</math>.
    2 KB (264 words) - 16:57, 4 October 2020
  • {{CIME box|year=2019|n=I|num-b=9|num-a=11}}
    932 bytes (167 words) - 20:52, 19 February 2021
  • * for any <math>i \neq j,</math> if <math>b_{ij}</math> is the <math>(i \cdot j)^{\text{th}}</math> number not in the sequence<math>,</math> then < {{CIME box|year=2019|n=I|num-b=8|num-a=10}}
    676 bytes (107 words) - 15:28, 6 October 2020
  • {{CIME box|year=2019|n=I|num-b=7|num-a=9}}
    580 bytes (100 words) - 15:09, 13 October 2020
  • {{CIME box|year=2019|n=I|num-b=6|num-a=8}}
    524 bytes (85 words) - 14:26, 14 October 2020
  • ...h>\triangle ABC</math> have circumcenter <math>O</math> and incenter <math>I</math> with <math>\overline{IA}\perp\overline{OI}</math>, circumradius <mat Start off by (of course) drawing a diagram! Let <math>I</math> and <math>O</math> be the incenter and circumcenters of triangle <ma
    19 KB (3,240 words) - 16:09, 13 October 2024

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