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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
1797.0. "Crux Mathematicorum 1868" by RUSURE::EDP (Always mount a scratch monkey.) Mon Sep 20 1993 15:12
Proposed by De-jun Zhao, Chengtun High School, Xingchang, China.
Let n>=3, a[1] > a[2] > ... > a[n] > =, and p > q > 0. Show that
a[1]^p*a[2]^q + a[2]^p*a[3]^q + ... + a[n-1]^p*a[n]^q +
a[n]^p*a[1]^q >
a[1]^q*a[2]^p + a[2]^q*a[3]^p + ... + a[n-1]^q*a[n]^p +
a[n]^q*a[1]^p.
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