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- 21:57, 11 July 2021 (diff | hist) . . (+463) . . N 1989 APMO Problems/Problem 5 (Created page with "==Problem== Determine all functions <math>f</math> from the reals to the reals for which (1) <math>f(x)</math> is strictly increasing and (2) <math>f(x) + g(x) = 2x</math> f...") (current)
- 21:56, 11 July 2021 (diff | hist) . . (+402) . . N 1989 APMO Problems/Problem 4 (Created page with "==Problem== Let <math>S</math> be a set consisting of <math>m</math> pairs <math>(a,b)</math> of positive integers with the property that <math>1 \leq a < b \leq n</math>. Sh...") (current)
- 21:56, 11 July 2021 (diff | hist) . . (+696) . . N 1989 APMO Problems/Problem 3 (Created page with "==Problem== Let <math>A_1</math>, <math>A_2</math>, <math>A_3</math> be three points in the plane, and for convenience, let <math>A_4= A_1</math>, <math>A_5 = A_2</math>. For...") (current)
- 21:55, 11 July 2021 (diff | hist) . . (+162) . . N 1989 APMO Problems/Problem 2 (Created page with "==Problem== Prove that the equation<cmath> 6(6a^2 + 3b^2 + c^2) = 5n^2 </cmath>has no solutions in integers except <math>a = b = c = n = 0</math>. ==Solution==")
- 21:54, 11 July 2021 (diff | hist) . . (+320) . . N 1989 APMO Problems/Problem 1 (Created page with "==Problem== Let <math>x_1</math>, <math>x_2</math>, <math>\cdots</math>, <math>x_n</math> be positive real numbers, and let <cmath> S = x_1 + x_2 + \cdots + x_n. </cmath> Pro...") (current)
- 21:53, 11 July 2021 (diff | hist) . . (+214) . . N 2016 APMO Problems/Problem 5 (Created page with "==Problem== Find all functions <math>f: \mathbb{R}^+ \to \mathbb{R}^+</math> such that <cmath>(z + 1)f(x + y) = f(xf(z) + y) + f(yf(z) + x),</cmath>for all positive real numb...")
- 21:52, 11 July 2021 (diff | hist) . . (+529) . . N 2016 APMO Problems/Problem 4 (Created page with "==Problem== The country Dreamland consists of <math>2016</math> cities. The airline Starways wants to establish some one-way flights between pairs of cities in such a way tha...") (current)
- 21:51, 11 July 2021 (diff | hist) . . (+735) . . N 2016 APMO Problems/Problem 3 (Created page with "==Problem== Let <math>AB</math> and <math>AC</math> be two distinct rays not lying on the same line, and let <math>\omega</math> be a circle with center <math>O</math> that i...") (current)
- 21:50, 11 July 2021 (diff | hist) . . (+361) . . N 2016 APMO Problems/Problem 2 (Created page with "==Problem== A positive integer is called fancy if it can be expressed in the form<cmath>2^{a_1}+2^{a_2}+ \cdots+ 2^{a_{100}},</cmath>where <math>a_1,a_2, \cdots, a_{100}</mat...") (current)
- 21:49, 11 July 2021 (diff | hist) . . (+560) . . N 2016 APMO Problems/Problem 1 (Created page with "==Problem== We say that a triangle <math>ABC</math> is great if the following holds: for any point <math>D</math> on the side <math>BC</math>, if <math>P</math> and <math>Q</...")
- 08:06, 26 April 2021 (diff | hist) . . (-7) . . 2020 INMO
- 08:05, 26 April 2021 (diff | hist) . . (+1) . . 2020 INMO
- 08:04, 26 April 2021 (diff | hist) . . (+39) . . 2020 INMO
- 13:16, 17 April 2021 (diff | hist) . . (-920) . . 2009 USAMO Problems/Problem 1 (→Solution 2) (current)
- 09:45, 15 April 2021 (diff | hist) . . (-111) . . 2009 USAMO Problems/Problem 1 (→Solution 2)
- 09:36, 15 April 2021 (diff | hist) . . (-8) . . 2009 USAMO Problems/Problem 1 (→Solution 2)
- 09:35, 15 April 2021 (diff | hist) . . (+95) . . 2009 USAMO Problems/Problem 1 (→Solution 2)
- 09:25, 15 April 2021 (diff | hist) . . (+24) . . 2009 USAMO Problems/Problem 1 (→Solution 2)
- 10:09, 7 January 2021 (diff | hist) . . (-236) . . Negative base (Blanked the page) (current) (Tag: Blanking)
- 10:02, 7 January 2021 (diff | hist) . . (+236) . . N Negative base (Created page with "Negative bases are quite confusing themselves. The basic introduction to base system is, if we are in some base, let us say <math>b</math>, then the possible digits which can...")
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