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  • * [[AoPS]] publishes [[Richard Rusczyk]]'s, [[David Patrick]]'s, and [[Ravi Boppana]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=pre ...blemsolving.com/articles/files/KedlayaInequalities.pdf A<B (A is less than B)] by Kiran S. Kedlaya
    24 KB (3,177 words) - 12:53, 20 February 2024
  • ...n=<u>Problem A/B, 1/2</u>: 7<br><u>Problem A/B, 3/4</u>: 8<br><u>Problem A/B, 5/6</u>: 9}} ...em.php?page_id=49 1985-2000] by [[Kiran Kedlaya]], [[Bjorn Poonen]], and [[Ravi Vakil]]. The three authors are among the most successful Putnam participan
    4 KB (623 words) - 13:11, 20 February 2024
  • * [[1998 IMO Problems/Problem 2 | Problem 2 (C5)]] proposed by Ravi B. Bapat, India
    35 KB (4,009 words) - 20:25, 21 February 2024
  • pair A=(0,96),B=(-28,0),C=(28,0),X=C-(64/3,0),Y=B+(4*r/3,0),P=X+(0,16),Q=Y+(0,r),M=foot(Q,X,P); D(A--B--C--cycle); D(Y--Q--P--X); D(Q--M); D(P--C,dashed);
    6 KB (1,065 words) - 20:12, 9 August 2022
  • *''Inequalities An Approach Through Problems - '''B. J. Venkatachala''' ...'Functional Equations: A Problem Solving Approach''] - (Prism Books) - '''B.J. Venkatchala'''.
    17 KB (2,261 words) - 00:30, 22 April 2024
  • ''Credit for this solution goes to Ravi Boppana.'' {{USAMO newbox|year=2000|num-b=5|after=Last Question}}
    3 KB (556 words) - 15:08, 15 July 2021
  • By Ravi substitution, let <math>a = y+z</math>, <math>b = z+x</math>, <math>c = x+y</math>. Then, the triangle condition becomes <m ...h>a^3 b + a^3 c + b^3 c + b^3 a + c^3 a + c^3 b \geq 2(a^2 b^2 + a^2 c^2 + b^2 c^2)</math>.
    3 KB (622 words) - 07:40, 22 May 2024