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  • ...ooks/hardcover/9780691125336/honors-calculus Honors Calculus] by [[Charles R. MacCluer]] -- Uses the topological definition of the limit rather than the ...idos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.
    24 KB (3,177 words) - 12:53, 20 February 2024
  • ...des from E and D to AB and AC respectively. Call the feet of the altitudes R and S respectively. ...assuming <math>EJ=6x;AJ=13x</math> since <math>\tan\angle{JAE}=\tan\angle{DAN}</math>. Now we need to find the tangent of <math>\angle{B}</math>. Making
    13 KB (2,129 words) - 18:56, 1 January 2024
  • * [[1985 IMO Problems/Problem 4 | Problem 4]] proposed by R. Gonchigdorj, Mongolia * [[1990 IMO Problems/Problem 1 | Problem 1]] proposed by C.R. Pranesachar, India
    35 KB (4,009 words) - 20:25, 21 February 2024
  • where <math>x,y \in \mathbb R</math>, <math>x+y=1</math>. ''Dan Schwarz''
    11 KB (1,779 words) - 14:57, 7 May 2012
  • (''Dan Schwarz, Romania'') ...tive integer such that <math>P^r(a)</math> for some positive integer <math>r</math>, then <math>P^2(a) = a</math>.
    3 KB (704 words) - 14:42, 7 September 2021
  • *''Problem Primer for the Olympiad'' - '''C. R. Pranesachar, B. J. Venkatachala, C. S. Yogananda'''. *''Junior Balkan Mathematical Olympiads'' - '''Dan Branzei, loan Serdean, Vasile Serdean'''.
    17 KB (2,261 words) - 00:30, 22 April 2024
  • Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: ...extbf{(B) }\text{Bob}\qquad\textbf{(C) }\text{Cyd}\qquad\textbf{(D) }\text{Dan}\qquad \textbf{(E) }\text{Eve}</math>
    14 KB (2,191 words) - 03:19, 2 April 2024
  • ...th>ABCD</math> we construct the equilateral triangles <math>ABK, BCL, CDM, DAN.</math> Prove that the midpoints of the four segments <math>KL, LM, MN, NK< ...</math> so that <math>m = pq.</math> Prove that there exist a number <math>r \in V_n</math> that can be expressed as the product of elements indecomposa
    3 KB (466 words) - 16:54, 29 January 2021
  • in the form <cmath>(p,q) \cup (q,r),</cmath> ...th>r</math> are real numbers with <math>p < q< r</math>. What is <math>p+q+r</math>?
    6 KB (1,001 words) - 21:27, 17 March 2024