Tata Institute of Fundamental Research
The Slope Problem
Seminar
Speaker:
Shishir Pandey
School of Technology and Computer Science
Tata Institute of Fundamental Research
Homi Bhabha Road
Date:
Friday, 31 Jul 2009 (all day)
Venue:
A-212 (STCS Seminar Room)
(Scan to add to calendar)
Abstract:
Given 3 or more non-collinear points on a plane how many distinct slopes to these points define on the plane? We will prove the following theorem.
Theorem: If n>2 points in the plane do not lie on one single line, then they determine at least n-1 different slopes, where equality is possible only if n is odd and n>3.
Reference: Chapter 9 - The slope problem, from the book - 'Proofs from THE BOOK'.
| Speaker: | Shishir Pandey School of Technology and Computer Science Tata Institute of Fundamental Research Homi Bhabha Road |
| Date: | Friday, 31 Jul 2009 (all day) |
| Venue: | A-212 (STCS Seminar Room) |
(Scan to add to calendar)
Abstract:
Given 3 or more non-collinear points on a plane how many distinct slopes to these points define on the plane? We will prove the following theorem.
Theorem: If n>2 points in the plane do not lie on one single line, then they determine at least n-1 different slopes, where equality is possible only if n is odd and n>3.
Reference: Chapter 9 - The slope problem, from the book - 'Proofs from THE BOOK'.
Theorem: If n>2 points in the plane do not lie on one single line, then they determine at least n-1 different slopes, where equality is possible only if n is odd and n>3.
Reference: Chapter 9 - The slope problem, from the book - 'Proofs from THE BOOK'.