Graduate Programs      Graduate Home Ph D Programs Masters Degree Ph D Program Requirements Course Descriptions Current Courses Admissions Current Graduate Students Graduate Student Seminar SIAM Chapter Seminar Recent Graduates Incoming Students Graduate Seminar Chris Cox Carnegie Mellon University Title: You just have to look at it from the right angle Abstract: In this talk, we'll look at a couple fun problems involving collections of vectors with certain restrictions on the possible angles among them. Depending on time, we'll explore the following problems:1. How many vectors can there be in $\mathbb{R}^d$ if among any three of them, there are two which are orthogonal?2. How many lines passing through origin can there be in $\mathbb{R}^d$ if all pairs cross at the same angle?3. How closely to orthogonal can $d+k$ vectors be arranged in $\mathbb{R}^d$.Date: Tuesday, October 10, 2017Time: 5:30 pmLocation: Wean Hall 8220Submitted by:  Yangxi OuNote: Video on YouTube: https://youtu.be/UCMIhascnbs