Donna Nonnenkamp: vnc is 165.134.131.41
Russell Blyth: linda - you can see and hear us now?
2:40 PM
Nikolaus Vonessen: I have trouble; it is hard to follow your
computations with the sound lag and the fact that we only
see part of a
line of the whiteboard.
Russell Blyth: i'll write some of them here
Russell Blyth: x: 0101100
Russell Blyth: 1+x: 1110100
Russell Blyth: x^2: 0010110
2:45 PM
Russell Blyth: 1+x^2: 1001110
Russell Blyth: x+x^2: 0111010
Russell Blyth: etc
Russell Blyth: 1+x+x^2: ``000`0
Russell Blyth: oops
Russell Blyth: 1+x+x^2: 1100010
Russell Blyth: 1+x+x^2+x^3: 1101001
2:50 PM
Nikolaus Vonessen: Encoding is linear. The difference of two
code
words is a code word.
Russell Blyth: Qs?
Steve Hennagin: is this true for other number bases?
2:55 PM
Nora Strasser has left this chat.
Nora Strasser has joined this chat.
Russell Blyth: a:a
Russell Blyth: a^2:a^2
Donna Nonnenkamp: Hi Nora
Russell Blyth: a^3: 1+a^2
Nora Strasser: Hi
Russell Blyth: a^4: 1+a+a^2
Russell Blyth: a^5: 1+a
Russell Blyth: a^6: a+a^2
Russell Blyth: a^7:1
3:00 PM
Russell Blyth: x^7-1=
Russell Blyth: (x+1)(x+a)(x+a^2),,,,(x+a^6)
3:05 PM
Russell Blyth: v(a) =
Russell Blyth: g(a)q(a) +1+a
Russell Blyth: = g(a)q(a)+a^5
3:10 PM
Russell Blyth: 0111 ----> 0110001
Juli Rainbolt: x^3 + x -> 0101
Juli Rainbolt: x^3+1 -> 1001
Russell Blyth: homework exercise 13A.6
Nikolaus Vonessen: Isn't the last decoded word 1101?
Juli Rainbolt: Yes, it is
Juli Rainbolt: x^3+x+1 -> 1101
3:15 PM
Juli Rainbolt: Thanks, Nikolaus
Russell Blyth: Qs?
Donna Nonnenkamp: rtsp://165.134.240.35/video0701pm2.sdp
Donna Nonnenkamp: is the new url for QT
Russell Blyth: were are back up
Donna Nonnenkamp: We're back
Nikolaus Vonessen: qt works fine
Steve Hennagin: i can hear!
3:20 PM
Nikolaus Vonessen: How does one express the square root of 2
(the
positive one) in GAP?
Steve Hennagin: I got a^4 equal to (-1-10*a^2)
Russell Blyth: was your poly x^4+10x+1?
Steve Hennagin: I did have plus 10
3:25 PM
Nikolaus Vonessen: alpha:=Sqrt(2)+Sqrt(3);
MinimalPolynomial(Rationals,alpha); computes the minimal
polynomial
of alpha
Robert Quinn: Do you teach Galois Theory w/ GAP in an
undergrad
math class?
3:30 PM
Nikolaus Vonessen: But it is one of the most interesting
sections for
me!
Robert Quinn: I agree.
Kathryn Weld: My Minimal Poly is coming up with x_1 as its
variable.
Do you know why?
Kathryn Weld: OK- I'll look.
3:35 PM
Steve Hennagin: 2
Steve Hennagin: THREE
3:50 PM
Juli Rainbolt: Questions?
Nikolaus Vonessen: Is there an easy way to find all
subgroups fo a
given group?
Nikolaus Vonessen: So what about Exercise 14.11? How
explicit should
our solutions be?
Robert Quinn: How long have you been using GAP? Does it have
competing software or is it the standard for Abstract
Algebra?
3:55 PM
Robert Quinn: Yes, thanks.
Donna Nonnenkamp: http://www.merlot.org/Home.po
4:00 PM
Steve Hennagin: could you restate that web site name?
Steve Hennagin: thanks