1 00:00:00,499 --> 00:00:02,860 PROFESSOR: You know, applications to technology-- 2 00:00:02,860 --> 00:00:03,930 a lot of the things-- 3 00:00:03,930 --> 00:00:07,080 a lot of the technology that we take for granted, 4 00:00:07,080 --> 00:00:09,990 these days, it depends very much on nothing 5 00:00:09,990 --> 00:00:13,590 more than algorithms, ideas about how things might work. 6 00:00:13,590 --> 00:00:15,560 Take your iPod-- you know, an iPod 7 00:00:15,560 --> 00:00:18,060 that could only hold 30 songs on it wouldn't be that useful, 8 00:00:18,060 --> 00:00:19,930 but you can fit a thousand songs on there. 9 00:00:19,930 --> 00:00:20,820 How is that possible? 10 00:00:20,820 --> 00:00:23,250 It should be impossible. 11 00:00:23,250 --> 00:00:26,570 Whether you're talking about cell phones, the internet, how 12 00:00:26,570 --> 00:00:28,560 power Google search engine works, 13 00:00:28,560 --> 00:00:31,750 or communications technology-- you know, 14 00:00:31,750 --> 00:00:34,450 a 10 megabit internet connection is a lot more useful 15 00:00:34,450 --> 00:00:37,171 than 64 kilobit connection. 16 00:00:37,171 --> 00:00:38,670 All of these technologies are really 17 00:00:38,670 --> 00:00:41,850 enabled by combinatorial algorithms 18 00:00:41,850 --> 00:00:44,010 to a much greater extent than the hardware. 19 00:00:44,010 --> 00:00:47,970 You know, the software that in [? relies ?] these technologies 20 00:00:47,970 --> 00:00:51,420 is really built out of ideas that people come up 21 00:00:51,420 --> 00:00:54,224 with in their heads, and a lot of those ideas 22 00:00:54,224 --> 00:00:55,140 involve combinatorics. 23 00:00:55,140 --> 00:00:57,348 So that's one of the reasons that I got interested in 24 00:00:57,348 --> 00:00:58,800 and I think a lot of the students 25 00:00:58,800 --> 00:01:01,280 find it interesting for the same reason.