
Russell Blyth: Any questions before we start? Steve Hennagin: re: 12.2 how does mult order relate to polynomial rings and extension fields? Linda Sundbye: Good morning Russell Blyth: I sent you the remaining sections by email Nikolaus Vonessen: Russell, you had already sent us Sections 13 (including the appendix) and 14 yesterday. Any changes in the sections you sent us this morning? Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp and vnc is the same as yesterday 165.134.131.41 Russell Blyth: No - I hadn't realized I actually sent them already - but that's good 10:00 AM Nora Strasser has joined this chat. Donna Nonnenkamp: Hi Nora Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp Nora Strasser: I'm here. Donna Nonnenkamp: and vnc is the same as yesterday 165.134.131.41 Nora Strasser: Hi Russell Blyth: Good morning, all! Russell Blyth: Any other Q's? Steve Hennagin: I got your answer, am patient, have another q: I got sections 13 14 off the web site yesterday. Were there any changes? Russell Blyth: No, I accidentally sent them twice Steve Hennagin: sorry about the face, I'm new to im Russell Blyth: :& Steve Hennagin: you are right: I used ampersand and AIM sent the face Kathryn Weld has joined this chat. 10:05 AM Donna Nonnenkamp: Hi Kathy Russell Blyth: Hi Kathy Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp Kathryn Weld: Hi Donna Nonnenkamp: and vnc is the same as yesterday Donna Nonnenkamp: 165.134.131.41 Steve Hennagin: Is Z(4) = Z(2^2) ? Steve Hennagin: No Sound, or very low volume Joanne Redden: Something is going on with the sound. Nora Strasser: Lost sound. Madeleine Gregoire: no sound Kathryn Weld: Me too Russell Blyth: We're checking 10:10 AM Juli Rainbolt: sound problem stand by Linda Sundbye: no sound Dorothy Zeiser: It's back Steve Hennagin: sound again Joanne Redden: It's back. Donna Nonnenkamp: Should be back Nora Strasser: O.K. Russell Blyth: Loose connection Linda Sundbye: have sound Susan Pustejovsky has joined this chat. Russell Blyth: Hi Susan Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp Donna Nonnenkamp: for quicktime Donna Nonnenkamp: the ip for vnc is the same as yesterday 165.134.131.41 Russell Blyth: Juli is continuing with Section 12 Susan Pustejovsky: I'm set thanks Russell Blyth: Great! 10:15 AM Nikolaus Vonessen: no sound Nora Strasser: sound gone. Linda Sundbye: no sound Kathryn Weld: Lost sound Steve Hennagin: no sound Nikolaus Vonessen: sound is back Steve Hennagin: can hear again Steve Hennagin: still confused with explanation, sorry 10:20 AM Michael Engquist: Which page and which part of Section 12 are you on? Has this section been updated recently? Russell Blyth: Page 2, Project. Michael Engquist: thanks Russell Blyth: Ignore the wording on what you currently have Russell Blyth: We will send an updated version today. Russell Blyth: Fixing the statements of the problems 12.1 - 12.5 Russell Blyth: OK, Steve? Steve Hennagin: So, how do we change 12.1 and following, if at all? Russell Blyth: Wait for the new version via email later Juli Rainbolt: correct version of 12.1-12.5 on white board 10:25 AM Nikolaus Vonessen: Would it save time to postpone discussing 12.1 -12.5 until we have the corrected handout? Nikolaus Vonessen: Yes, we never can see the whiteboard at once. We can only see part of a line at once. Russell Blyth: I'm going to type the questions here Kathryn Weld: Questions on AIM make sthe most sense. Russell Blyth: 12.1 Find the degree of the smallest field containing Z(2^4)^m over GF(2) for m = 1, 2, ...,10 Russell Blyth: 12.2 Find orders of Z(2^4)^m for m = 1, 2, ..,10 Russell Blyth: Again, Z(2^4)^m means (Z(2^4))^m Russell Blyth: 12.3 Find the degree of the smallest field containing Z(3^3)^m over GF(3) for m= 1, ..., 15 Russell Blyth: 12.4 Find orders of Z(3^3)^m for m = 1, 2, ..,15 10:30 AM Russell Blyth: 12.5 When will the degree of the extension of GF(p) to the field containing Z(p^n)^m and when will this degree be less than n? 10:35 AM Steve Hennagin: same when gcd(n, m) = 1? Nikolaus Vonessen: lost sound Steve Hennagin: sound Ok Linda Sundbye: sound ok Joanne Redden: I've got sound; Robert Quinn: sound ok Dorothy Zeiser: sound ok 10:40 AM Nikolaus Vonessen: Z(p^n)^m has order dividing p^k-1. Necessarily k|n 10:45 AM Russell Blyth: Q's? 10:50 AM Donna Nonnenkamp: changing tapes . Russell Blyth: Changing URL Donna Nonnenkamp: The new url for quicktime is rtsp:// 165.134.240.35/video0701am2.sdp Russell Blyth: Running! Russell Blyth: Any problems? Donna Nonnenkamp: Anyone need help? Nora Strasser: lost sound Linda Sundbye: no problems Russell Blyth: Try QT again, Nora - close and reopen 10:55 AM Donna Nonnenkamp: Middle of page 2 commands Russell Blyth: AlgebraicExtension Nikolaus Vonessen: 3 Steve Hennagin: 27, aren't all odd numbers prime? Nikolaus Vonessen: 3 Nikolaus Vonessen: x^3+2*x+1 11:00 AM Steve Hennagin: Q: please restate about factoring over F Kathryn Weld: Cant you just use the F that you defined as the Algebraic Extension? Then redefine x and f. Russell Blyth: You have to define the poly ring first Steve Hennagin: thank you Kathryn Weld: Well, I got the same result using the above commands...? Steve Hennagin: why do we have to have the poly ring? Kathryn Weld: We had F already. Kathryn Weld: But I had to reenter the x definition, and I had to reenter f. Kathryn Weld: Yes, but thats why I had to re enter x and f. 11:10 AM Nikolaus Vonessen: What does ! mean in the output of Factors(x^9-x) ? Michael Engquist: what does the "!" symbol mean? Kathryn Weld: What does the ! mean, in the output? Nikolaus Vonessen: My guess is that the ! denotes elements of the base field. 11:25 AM Linda Sundbye: lost quicktime and vnc Donna Nonnenkamp: You may want to restart your computer. Linda Sundbye: it came back Donna Nonnenkamp: good Susan Pustejovsky: gtg Donna Nonnenkamp: bye susan Susan Pustejovsky has left this chat. 11:30 AM Donna Nonnenkamp: questions? Juli Rainbolt: Questions? Comments? Joanne Redden: See you this afternoon.Back to Home Page
This PREP workshop is made possible by the NSF grant DUE: 0341481