User contributions for Cassphe
25 August 2025
- 11:0511:05, 25 August 2025 diff hist +18 2018 MPFG Problem 18 →Solution 1
- 11:0411:04, 25 August 2025 diff hist +46 MPFG Alternative Solutions No edit summary
- 11:0311:03, 25 August 2025 diff hist +10 MPFG Alternative Solutions No edit summary
- 11:0011:00, 25 August 2025 diff hist −25 MPFG Alternative Solutions No edit summary
- 00:1800:18, 25 August 2025 diff hist +1,171 N 2018 MPFG Problem 18 Created page with "==Problem== Evaluate the expression <cmath>\left|\Pi_{k=0}^{15} (1+e^{2\pi ik^{2}/31})\right|</cmath> ==Solution 1== <math>\left|\Pi_{k=0}^{15} (1+e^{\frac{2\pi ik^{2}}{31}..."
24 August 2025
- 09:3809:38, 24 August 2025 diff hist +25 2018 MPFG Problem 19 →Solution 1
- 08:0108:01, 24 August 2025 diff hist −2 2018 MPFG Problem 19 →Solution 1
- 07:5507:55, 24 August 2025 diff hist +8 2018 MPFG Problem 19 →Solution 1
- 07:5107:51, 24 August 2025 diff hist +27 MPFG Alternative Solutions No edit summary
- 05:1505:15, 24 August 2025 diff hist +44 2018 MPFG Problem 19 →Solution 1
- 05:1005:10, 24 August 2025 diff hist 0 N File:Left rie.jpg No edit summary current
- 05:1005:10, 24 August 2025 diff hist 0 N File:Right rie.jpg No edit summary
- 05:0305:03, 24 August 2025 diff hist +22 2018 MPFG Problem 19 →Solution 1
- 01:4701:47, 24 August 2025 diff hist +10 2018 MPFG Problem 19 →Solution 1
- 01:4601:46, 24 August 2025 diff hist +1,235 N 2018 MPFG Problem 19 Created page with "==Problem 19== Consider the sum <cmath>S_n = \sum_{k=1}^{n}\frac{1}{\sqrt{2k-1}}</cmath> Determine <math>\lfloor S_{4901} \rfloor</math>. Recall that if <math>x</math> is a..."
23 August 2025
- 04:0804:08, 23 August 2025 diff hist +16 2011 MPFG Problem 14 →Explanation current
- 04:0704:07, 23 August 2025 diff hist 0 N File:Hahaha.jpg No edit summary current
- 04:0704:07, 23 August 2025 diff hist +637 N 2011 MPFG Problem 14 Created page with "==Problem== If <math>0 \leq p \leq 1</math> and <math>0 \leq p \leq 1</math>, define <math>F(p,q)</math> by <math>F(p,q) = -2pq + 3p(1-q) + 3(1-p)q-4(1-p)(1-q)</math>. Define..."
- 02:1502:15, 23 August 2025 diff hist +37 MPFG Alternative Solutions No edit summary
- 02:1402:14, 23 August 2025 diff hist +1 MPFG Alternative Solutions No edit summary
- 02:1402:14, 23 August 2025 diff hist +36 MPFG Alternative Solutions No edit summary
22 August 2025
- 09:4309:43, 22 August 2025 diff hist +6 MPFG Alternative Solutions No edit summary
- 09:4209:42, 22 August 2025 diff hist +11 2012 MPFG Problem 8 →Note
- 09:4209:42, 22 August 2025 diff hist +94 MPFG Alternative Solutions No edit summary
- 01:2901:29, 22 August 2025 diff hist 0 2012 MPFG Problem 8 →Note
- 01:2901:29, 22 August 2025 diff hist 0 2012 MPFG Problem 8 →Note
- 01:2801:28, 22 August 2025 diff hist +1 2012 MPFG Problem 8 →Note
- 01:2801:28, 22 August 2025 diff hist +33 m 2012 MPFG Problem 8 →Note
- 01:2701:27, 22 August 2025 diff hist 0 N File:Hihihi.jpg No edit summary current
- 01:2601:26, 22 August 2025 diff hist +891 N 2012 MPFG Problem 8 Created page with "==Problem== Suppose that <math>x</math>, <math>y</math>, and <math>z</math> are real numbers such that <math>x + y + z = 3</math> and <math>x^{2} + y^{2} + z^{2} = 6</math>. W..."
21 August 2025
- 08:1008:10, 21 August 2025 diff hist +12 m 2013 MPFG Problem 17 →Solution 1 current
- 00:3600:36, 21 August 2025 diff hist 0 MPFG Alternative Solutions No edit summary
- 00:3600:36, 21 August 2025 diff hist +1 m MPFG Alternative Solutions No edit summary
- 00:3500:35, 21 August 2025 diff hist +49 MPFG Alternative Solutions No edit summary
- 00:3500:35, 21 August 2025 diff hist +57 MPFG Alternative Solutions No edit summary
- 00:3400:34, 21 August 2025 diff hist +56 2013 MPFG Problem 17 →Solution 1
- 00:3100:31, 21 August 2025 diff hist 0 N File:Graph of f(f(x)).jpg No edit summary current
- 00:3000:30, 21 August 2025 diff hist 0 N File:Graph of f(x).jpg No edit summary current
- 00:2500:25, 21 August 2025 diff hist +1,357 N 2013 MPFG Problem 17 Created page with "==Problem== Let f be the function defined by <math>f(x) = -2 sin(\pi x)</math> . How many values of x such that <math> -2 \leq x \leq 2</math> satisfy the equation <math>f(f(f..."
17 August 2025
- 05:5205:52, 17 August 2025 diff hist 0 N File:Forgot line.png No edit summary current
- 05:4505:45, 17 August 2025 diff hist 0 N File:Mpfg2019 15.png No edit summary
11 August 2025
- 08:2908:29, 11 August 2025 diff hist +1 Math Prize for Girls →Resources current
- 08:2908:29, 11 August 2025 diff hist +99 m Math Prize for Girls →Resources
- 08:2908:29, 11 August 2025 diff hist +123 m MPFG Alternative Solutions No edit summary
- 08:2808:28, 11 August 2025 diff hist −150 Math Prize for Girls No edit summary
- 08:2608:26, 11 August 2025 diff hist +150 m Math Prize for Girls No edit summary
- 07:2207:22, 11 August 2025 diff hist 0 N File:2019MPFG 17.jpg No edit summary current
- 07:0907:09, 11 August 2025 diff hist +101 MPFG Alternative Solutions No edit summary
- 07:0707:07, 11 August 2025 diff hist +282 N MPFG Alternative Solutions Created page with "Here are some alternative solutions to the problems of [https://artofproblemsolving.com/wiki/index.php/Math_Prize_for_Girls MPFG]. The official solutions of these problems are..."