• college football poll - week 5

    The Beavers continue their rise despite having two less wins than most of the rest of the country (thanks to Hurricane Isaac forcing the postponement of their game against Nicholls State during week one and a bye in week three), this time all the way to the top spot after a win against Arizona.

    Alas, despite being 5-0, Northwestern has yet to reappear in the rankings, as all of its fallen opponents are pretty freakin’ dreadful.

    1 - Oregon St. (3-0) (11.4375) (4)
    2 - South Carolina (5-0) (10.6015625) (7)
    3 - Alabama (5-0) (10.248046875) (6)
    4 - Notre Dame (4-0) (9.8203125) (1)
    5 - Ohio St. (5-0) (9.8125) (9)
    6 - Oregon (5-0) (9.625) (5)
    7 - Georgia (5-0) (9.24609375) (9)
    8 - Florida St. (5-0) (8.90625) (8)
    9 - Florida (4-0) (8.87109375) (2)
    10 - LSU (5-0) (8.8125) (9)
    11 - Texas Tech (4-0) (7.828125) (NR)
    12 - Stanford (3-1) (7.625) (3)
    13 - Texas (4-0) (7.5625) (15)
    14 - Louisville (5-0) (7.49609375) (14)
    15 - Kansas St. (4-0) (7.21875) (12)
    16 - UCLA (4-1) (7.09375) (23)
    17 - Ohio (5-0) (6.75) (13)
    18 - Louisiana Tech (4-0) (6.625) (19)
    19 - Iowa St. (3-1) (6.15625) (20)
    20 - West Virginia (4-0) (5.75) (25)
    21 - Washington (3-1) (5.6875) (NR)
    22 - Michigan St. (3-2) (5.625) (17)
    23 - Clemson (4-1) (5.484375) (21)
    24 - Mississippi St. (4-0) (5.25) (15)
    25 - Miami (FL) (4-1) (4.9375) (NR)
    dropped out: Rutgers, Arizona, Minnesota, Wisconsin

    Directed graph.

  • college football poll - week 4

    Sad face. My ‘Cats dropped out this week. Since South Dakota is an FCS team, their win doesn’t count. And ‘Cuse, Vandy, and BC keep losing their FBS games, which isn’t helping either…

    Anyway, Notre Dame’s win over Michigan causes them to swap places with Stanford. And how about two-win Oregon State in fourth place? When those two wins are over Wisconsin and week 2 number one UCLA, that will happen.

    1 - Notre Dame (4-0) (7.6875) (3)
    2 - Florida (4-0) (7.5625) (2)
    3 - Stanford (3-0) (7.46875) (1)
    4 - Oregon St. (2-0) (6.609375) (25)
    5 - Oregon (4-0) (6.5625) (16)
    6 - Alabama (4-0) (6.375) (3)
    7 - South Carolina (4-0) (6) (12)
    8 - Florida St. (4-0) (5.875) (NR)
    9 - LSU (4-0) (5.5) (10)
    9 - Ohio St. (4-0) (5.5) (7)
    9 - Georgia (4-0) (5.5) (9)
    12 - Kansas St. (4-0) (5.375) (19)
    13 - Ohio (4-0) (5.25) (12)
    14 - Louisville (4-0) (5) (19)
    15 - Mississippi St. (4-0) (4.75) (14)
    15 - Texas (3-0) (4.75) (10)
    17 - Michigan St. (3-1) (4.6875) (NR)
    18 - Minnesota (4-0) (4.625) (23)
    19 - Louisiana Tech (3-0) (4.5625) (19)
    20 - Iowa St. (3-0) (4.46875) (14)
    21 - Clemson (3-1) (4) (7)
    21 - Rutgers (4-0) (4) (18)
    23 - UCLA (3-1) (3.75) (3)
    24 - Wisconsin (3-1) (3.46875) (NR)
    25 - West Virginia (3-0) (3.25) (NR)
    25 - Arizona (3-1) (3.25) (6)
    dropped out: Middle Tenn., Texas Tech, Northwestern, Cincinnati

    Directed graph.

  • college football poll - week 3

    After week 3, we know a little bit more about what’s going in college football. Stanford claims the top spot after beating USC (who drops out completely). My Cats are still in it at #16!

    I love how after only 3 weeks of games, the graph is now connected. Also, very interestingly, Oregon State comes in at #25 despite having only one win… The Beavers beat Wisconsin, who beat Utah St, who beat Utah, who beat BYU, who beat Wazzu, who beat UNLV. If this chain were repeated to infinity, then it would be like Oregon State beat TWO teams!

    1 - Stanford (3-0) (5.5) (3)
    2 - Florida (3-0) (5.3125) (6)
    3 - Alabama (3-0) (4.75) (6)
    3 - UCLA (3-0) (4.75) (1)
    3 - Notre Dame (3-0) (4.75) (12)
    6 - Arizona (3-0) (4.125) (6)
    7 - Clemson (3-0) (4) (6)
    7 - Ohio St. (3-0) (4) (6)
    9 - Georgia (3-0) (3.875) (12)
    10 - LSU (3-0) (3.75) (3)
    10 - Texas (3-0) (3.75) (12)
    12 - Ohio (3-0) (3.5) (12)
    12 - South Carolina (3-0) (3.5) (12)
    14 - Mississippi St. (3-0) (3.25) (NR)
    14 - Iowa St. (3-0) (3.25) (1)
    16 - Oregon (3-0) (3) (6)
    16 - Northwestern (3-0) (3) (12)
    18 - Rutgers (3-0) (2.75) (NR)
    19 - Kansas St. (3-0) (2.5) (20)
    19 - Louisiana Tech (2-0) (2.5) (NR)
    19 - Louisville (3-0) (2.5) (20)
    19 - Texas Tech (3-0) (2.5) (20)
    23 - Minnesota (3-0) (2) (NR)
    23 - Middle Tenn. (2-1) (2) (NR)
    25 - Oregon St. (1-0) (1.96875) (NR)
    25 - Cincinnati (2-0) (1.96875) (NR)
    dropped out: Arizona St., La.-Lafayette, Southern California, South Fla., Tennessee, Michigan St.

    Directed graph.

  • XDG menus in WindowMaker

    For some reason, this took me forever to figure out, so I’m posting it here.

    Let’s say that you, like me, are an avid Ubuntu user who refuses to be dragged kicking and screaming into Unity-land, instead choosing to go completely old-school and run WindowMaker. However, you want a nice application menu. Here’s what you can do:

    Grab the “xdg_menu” perl script from here.

    Run the following code (in the directory you downloaded the file):

    chmod +x xdg_menu
    sudo cp xdg_menu /usr/local/bin
    sudo apt-get install libxml-parser-perl
    

    Next, open up WindowMaker Preferences, scroll over to the menu-editing screen, and drag a “Generated Submenu” bar over to your menu and rename it whatever you want by double clicking on it. In the “Command” field, enter “xdg_menu”. Save and you’re all set.

  • college football poll - week 2

    Woot, it’s college football season again! Time for some graph theory meets anthropology computer poll action. Again, early in the season, this doesn’t tell us much as the graph is disconnected. But still kind of fun. Plus, my ‘Cats are in the #12 spot. (I believe they are the only team in the country to have two wins over BCS schools. So what if they’re both 0-2.)

    1 - UCLA (2-0) (3)
    1 - Iowa St. (2-0) (3)
    3 - LSU (2-0) (2.75)
    3 - Tennessee (2-0) (2.75)
    3 - Stanford (2-0) (2.75)
    6 - Oregon (2-0) (2.5)
    6 - Alabama (2-0) (2.5)
    6 - Clemson (2-0) (2.5)
    6 - Arizona (2-0) (2.5)
    6 - Ohio St. (2-0) (2.5)
    6 - Florida (2-0) (2.5)
    12 - Michigan St. (2-0) (2)
    12 - Southern California (2-0) (2)
    12 - Ohio (2-0) (2)
    12 - Notre Dame (2-0) (2)
    12 - Texas (2-0) (2)
    12 - Georgia (2-0) (2)
    12 - Northwestern (2-0) (2)
    12 - South Carolina (2-0) (2)
    20 - Kansas St. (2-0) (1.5)
    20 - Arizona St. (2-0) (1.5)
    20 - Louisville (2-0) (1.5)
    20 - Texas Tech (2-0) (1.5)
    20 - La.-Lafayette (2-0) (1.5)
    20 - South Fla. (2-0) (1.5)

    Directed graph.

  • TeX synthetic division in Macaulay2

    There might be a small audience for this code (algebraic geometers teaching precalculus!), so I figured I’d put it out there on the internet.

    Let’s say you want to put a synthetic division problem in a TeX document. Let’s also say that you are a user of Macaulay2. You can then use the following code to get the desired result.

    Macaulay2, version 1.4
    with packages: ConwayPolynomials, Elimination, IntegralClosure, LLLBases, PrimaryDecomposition, ReesAlgebra, TangentCone
    
    i1 : writeSyntheticDivision = (f,a) -> (
         x := first gens ring f;
         A := reverse apply(first degree f+1,i->coefficient(x^i,f));
         B := {};
         C := {A_0};
         scan(A_{1..(#A-1)},b->(
                   B = B|{a*(last C)};
                   C = C|{b+(last B)};
                   )       
          );
         string := "\\begin{array}{r|"|concatenate apply(A,i->"r")|"}\n";
         string = string|"\\cline{2-"|toString(#A+1)|"}\n";
         string = string|toString a|concatenate apply(A,i->"&"|toString i)|"\\\\\n";
         string = string|"\\multicolumn{2}{r}{}"|concatenate apply(B,i->"&"|toString i)|"\\\\\\cline{2-"|toString(#A+1)|"}\n";
         string = string|"\\multicolumn{2}{r}{"|toString C_0|"}"|concatenate apply(C_{1..(#C-1)},i->"&"|toString i)|"\\\\\n";
         string = string|"\\end{array}\n";
         print string
         )
    
    
    o1 = writeSyntheticDivision
    
    o1 : FunctionClosure
    
    i2 : R = QQ[x]
    
    o2 = R
    
    o2 : PolynomialRing
    
    i3 : writeSyntheticDivision(x^4-x^3-7*x^2+13*x-6,1)
    \begin{array}{r|rrrrr}
    \cline{2-6}
    1&1&-1&-7&13&-6\\
    \multicolumn{2}{r}{}&1&0&-7&6\\\cline{2-6}
    \multicolumn{2}{r}{1}&0&-7&6&0\\
    \end{array}
    
  • college football poll - final

    My poll doesn’t care who won the NCG. LSU had the better season.

    1 - LSU (13-1) (47.875) (1)
    2 - Alabama (12-1) (43.625) (2)
    3 - Arkansas (11-2) (39.09375) (3)
    4 - Boise St. (12-1) (35.5703125) (8)
    5 - Oklahoma St. (12-1) (33.96875) (4)
    6 - Oklahoma (10-3) (33.09375) (6)
    7 - South Carolina (11-2) (31.046875) (10)
    8 - Baylor (10-3) (30.40625) (9)
    9 - Kansas St. (10-3) (29.3125) (5)
    10 - Houston (13-1) (28.65625) (15)
    11 - Oregon (12-2) (27.5078125) (17)
    12 - Michigan (11-2) (26.546875) (13)
    13 - Stanford (11-2) (26.4375) (7)
    14 - Southern California (10-2) (23.734375) (14)
    15 - Texas (8-5) (21.875) (16)
    16 - Wisconsin (11-3) (20.15625) (18)
    17 - Michigan St. (11-3) (19.734375) (23)
    18 - Texas A&M (7-6) (19.15625) (24)
    19 - Georgia (10-4) (18.99609375) (12)
    20 - Virginia Tech (11-3) (18.90625) (11)
    21 - TCU (11-2) (18.109375) (22)
    22 - West Virginia (10-3) (16.140625) (NR)
    23 - Auburn (8-5) (16.125) (NR)
    24 - Missouri (8-5) (15.953125) (NR)
    25 - Nebraska (9-4) (15.140625) (21)
    dropped out: Penn St., Tulsa, Iowa St.

    The list of friedcheese.org national champs stands as thus:
    2007 - Kansas
    2008 - Utah
    2009 - Alabama
    2010 - Auburn
    2011 - LSU

  • college football poll - week 15

    The Army/Navy game results had no effect on the poll other than to change around a couple figures in the Big Ten (Nebraska lost to Northwestern which lost to Army which lost to Navy). Here goes:

    1 - LSU (13-0) (45.9375) (1)
    2 - Alabama (11-1) (38.40625) (2)
    3 - Arkansas (10-2) (33.7109375) (3)
    4 - Oklahoma St. (11-1) (31.830078125) (4)
    5 - Kansas St. (10-2) (31.5244140625) (5)
    6 - Oklahoma (9-3) (30.642578125) (6)
    7 - Stanford (11-1) (30.541015625) (7)
    8 - Boise St. (11-1) (30.1484375) (8)
    9 - Baylor (9-3) (28.080078125) (9)
    10 - South Carolina (10-2) (25.3046875) (10)
    11 - Virginia Tech (11-2) (24.59765625) (11)
    12 - Georgia (10-3) (24.01171875) (12)
    13 - Michigan (10-2) (23.34375) (13)
    14 - Southern California (10-2) (23.1953125) (14)
    15 - Houston (12-1) (22.8125) (15)
    16 - Texas (7-5) (21.58203125) (16)
    17 - Oregon (11-2) (21.03515625) (17)
    18 - Wisconsin (11-2) (20.4296875) (18)
    19 - Penn St. (9-3) (18.6875) (19)
    20 - Iowa St. (6-6) (18.55078125) (20)
    21 - Nebraska (9-3) (16.84375) (21)
    22 - TCU (10-2) (16.4375) (22)
    23 - Michigan St. (10-3) (16.171875) (23)
    24 - Texas A&M (6-6) (15.39453125) (24)
    25 - Tulsa (8-4) (13.9296875) (25)
    dropped out:

    See you in January for the final poll!

  • college football poll - week 14

    Essentially, the final poll of the regular season. I’ll post next week’s, but I doubt the Army-Navy game will be of much consequence.

    1 - LSU (13-0) (45.9375) (1)
    2 - Alabama (11-1) (38.40625) (2)
    3 - Arkansas (10-2) (33.7109375) (4)
    4 - Oklahoma St. (11-1) (31.830078125) (7)
    5 - Kansas St. (10-2) (31.5244140625) (9)
    6 - Oklahoma (9-3) (30.642578125) (5)
    7 - Stanford (11-1) (30.541015625) (6)
    8 - Boise St. (11-1) (30.1484375) (8)
    9 - Baylor (9-3) (28.080078125) (10)
    10 - South Carolina (10-2) (25.3046875) (11)
    11 - Virginia Tech (11-2) (24.59765625) (14)
    12 - Georgia (10-3) (24.01171875) (12)
    13 - Michigan (10-2) (23.375) (13)
    14 - Southern California (10-2) (23.1953125) (15)
    15 - Houston (12-1) (22.6875) (3)
    16 - Texas (7-5) (21.58203125) (16)
    17 - Oregon (11-2) (21.03515625) (17)
    18 - Wisconsin (11-2) (20.4296875) (20)
    19 - Penn St. (9-3) (18.859375) (19)
    20 - Iowa St. (6-6) (18.55078125) (18)
    21 - Nebraska (9-3) (17.453125) (22)
    22 - TCU (10-2) (16.4375) (24)
    23 - Michigan St. (10-3) (16.34375) (21)
    24 - Texas A&M (6-6) (15.39453125) (25)
    25 - Tulsa (8-4) (13.9296875) (23)
    dropped out:

  • college football poll - week 13

    1 - LSU (12-0) (43.4375) (1)
    2 - Alabama (11-1) (38.21875) (2)
    3 - Houston (12-0) (35.09375) (3)
    4 - Arkansas (10-2) (33.3671875) (4)
    5 - Oklahoma (9-2) (30.94921875) (7)
    6 - Stanford (11-1) (30.55078125) (9)
    7 - Oklahoma St. (10-1) (30.38671875) (5)
    8 - Boise St. (10-1) (29.5546875) (8)
    9 - Kansas St. (9-2) (29.521484375) (6)
    10 - Baylor (8-3) (26.40234375) (10)
    11 - South Carolina (10-2) (25.1484375) (16)
    12 - Georgia (10-2) (24.57421875) (18)
    13 - Michigan (10-2) (24.0625) (12)
    14 - Virginia Tech (11-1) (23.94140625) (11)
    15 - Southern California (10-2) (23.421875) (13)
    16 - Texas (7-4) (22.0703125) (15)
    17 - Oregon (10-2) (20.3984375) (20)
    18 - Iowa St. (6-5) (19.1015625) (17)
    19 - Penn St. (9-3) (18.703125) (14)
    20 - Wisconsin (10-2) (18.15625) (19)
    21 - Michigan St. (10-2) (17.078125) (24)
    22 - Nebraska (9-3) (17) (NR)
    23 - Tulsa (8-4) (16.42578125) (21)
    24 - TCU (9-2) (15.3125) (23)
    25 - Texas A&M (6-6) (14.8828125) (22)
    dropped out: Clemson

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