Drorbn - User contributions [en]

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:47:44Z

Josh.seaton:

The following are a few minor mistakes I've noticed going through the notes.

'''I. GROUPS'''

'''pg 26''': mentions two groups being "isometric" instead of being "isomorphic" (''mid-page'')

'''pg 28''': Prop. 1.8.6 is missing the hypothesis that <math>H \cap K = \{e\}</math>

'''page 33''':

- a 'P' appears in lieu of 'S' (''third last line'')

- '|SP|' appears where 'SP' should (''third last line'')

- instead of reading <math>H \subset S</math>, it reads H = S (''last line'')

'''pg 34''': in Lemma 1.9.6, above the second appearance of the class equation for X, it reads S = |P| as opposed to S = P

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:47:05Z

Josh.seaton:

The following are a few minor mistakes I've noticed going the notes.

'''I. GROUPS'''

'''pg 26''': mentions two groups being "isometric" instead of being "isomorphic" (''mid-page'')

'''pg 28''': Prop. 1.8.6 is missing the hypothesis that <math>H \cap K = {e}</math>

'''page 33''':

- a 'P' appears in lieu of 'S' (''third last line'')

- '|SP|' appears where 'SP' should (''third last line'')

- instead of reading <math>H \subset S</math>, it reads H = S (''last line'')

'''pg 34''': in Lemma 1.9.6, above the second appearance of the class equation for X, it reads S = |P| as opposed to S = P

User:Josh.seaton

2011-10-23T16:45:26Z

Josh.seaton:

==Assignments==
[[Assignment I - Permutation Counting]]

==Misc.==

[[11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:44:27Z

Josh.seaton:

==Assignments==
[[Assignment I - Permutation Counting]]

[[Media:Assignment I]]

==Misc.==

[[11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:43:31Z

Josh.seaton:

==Assignments==
[[Assignment I - Permutation Counting]]

[[Image:Assignment I]]

==Misc.==

[[11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:42:59Z

Josh.seaton:

==Assignments==
[[Assignment I - Permutation Counting]]

[[Assignment I]]

==Misc.==

[[11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:40:30Z

Josh.seaton: /* Misc. */

[[Assignment I - Permutation Counting]]

==Misc.==

[[11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:39:59Z

Josh.seaton: /* Misc. */

[[Assignment I - Permutation Counting]]

==Misc.==

[[User:Josh.seaton/11-1100/Errata to Prof. Selick's Notes]]

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:39:02Z

Josh.seaton:

The following are a few minor mistakes I've noticed going the notes.

'''I. GROUPS'''

'''pg 26''': mentions two groups being "isometric" instead of being "isomorphic" (''mid-page'')

'''pg 28''': Prop. 1.8.6 is missing the hypothesis that H \cap K = {e}

'''page 33''':

- a 'P' appears in lieu of 'S' (''third last line'')

- '|SP|' appears where 'SP' should (''third last line'')

- instead of reading H \subset S, it reads H = S (''last line'')

'''pg 34''': in Lemma 1.9.6, above the second appearance of the class equation for X, it reads S = |P| as opposed to S = P

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:38:15Z

Josh.seaton:

The following are a few minor mistakes I've noticed going the notes.

'''I. GROUPS'''

pg 26: mentions two groups being "isometric" instead of being "isomorphic" (''mid-page'')

pg 28: Prop. 1.8.6 is missing the hypothesis that H \cap K = {e}

page 33:

- a 'P' appears in lieu of 'S' (''third last line'')

- '|SP|' appears where 'SP' should (''third last line'')

- instead of reading H \subset S, it reads H = S (''last line'')

pg 34: in Lemma 1.9.6, above the second appearance of the class equation for X, it reads S = |P| as opposed to S = P

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:37:50Z

Josh.seaton:

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:37:21Z

Josh.seaton:

The following are a few minor mistakes I've noticed going the notes.

'''I. GROUPS'''

pg 26: mentions two groups being "isometric" instead of being "isomorphic" (mid-page)

pg 28: Prop. 1.8.6 is missing the hypothesis that H \cap K = {e}

page 33:

- a 'P' appears in lieu of 'S' (third last line)

- '|SP|' appears where 'SP' should (third last line)

- instead of reading H \subset S, it reads H = S (last line)

pg 34: in Lemma 1.9.6, above the second appearance of the class equation for X, it reads S = |P| as opposed to S = P

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:36:30Z

Josh.seaton:

The following are a few minor mistakes I've noticed going the notes.

I. GROUPS

pg 26: mentions two groups being "isometric" instead of being "isomorphic" (mid-page)

pg 28: Prop. 1.8.6 is missing the hypothesis that H \cap K = {e}

page 33:

- a 'P' appears in lieu of 'S' & '|SP|' appears where 'SP' should (third last line)

- instead of reading H \subset S, it reads H = S (last line)

pg 34: in Lemma 1.9.6, above the second appearance of the class equation for X, it reads S = |P| as opposed to S = P

11-1100/Errata to Prof. Selick's Notes

2011-10-23T16:36:13Z

Josh.seaton:

User:Josh.seaton

2011-10-23T16:30:38Z

Josh.seaton: /* Misc. */

[[Assignment I - Permutation Counting]]

==Misc.==

[[11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:30:18Z

Josh.seaton: /* Messages */

[[Assignment I - Permutation Counting]]

==Misc.==

[[User:Josh.seaton/11-1100/Errata to Prof. Selick's Notes]]

User:Josh.seaton

2011-10-23T16:27:24Z

Josh.seaton: /* Messages */

[[Assignment I - Permutation Counting]]

==Messages==

11-1100/Assignment I - Permutation Counting

2011-10-11T04:03:31Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it.

[[2x2x3 Permutation Puzzle]]

Here are the generators:

g1 = [1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32] <math> \equiv </math> (28,19,5,12)(9,6,22,27)(10,11,21,20)

g2 = [1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32] <math> \equiv </math> (18,3,13,30)(8,4,23,29)

g3 = [14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17] <math> \equiv </math> (32,17,1,14)(24,31,7,2)(16,26,25,15)

g4 = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27] <math> \equiv </math> (17,22)(18,23)(24,19)(25,20)(26,21)(32,27)(28,31)(29,30)

This is the Python code used to implement the NCGE algorithm for the 2x2x3 puzzle.

[[NCGE Python Code]]

First, the class of permutations is defined, along with how to multiply them and take their inverses. Then, algorithm is spelled out.

The algorithm yields that their are '''39016857600''' different configurations of the 2x2x3 puzzle. The implementation was subsequently checked with the Rubik's cube generators given on [http://www.math.toronto.edu/~drorbn/Talks/Mathcamp-0907/NCGE.pdf the handout] and the correct numbers were outputted.

11-1100/Assignment I - Permutation Counting

2011-10-11T04:03:16Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled.

[[2x2x3 Permutation Puzzle]]

Here are the generators:

g1 = [1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32] <math> \equiv </math> (28,19,5,12)(9,6,22,27)(10,11,21,20)

g2 = [1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32] <math> \equiv </math> (18,3,13,30)(8,4,23,29)

g3 = [14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17] <math> \equiv </math> (32,17,1,14)(24,31,7,2)(16,26,25,15)

g4 = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27] <math> \equiv </math> (17,22)(18,23)(24,19)(25,20)(26,21)(32,27)(28,31)(29,30)

This is the Python code used to implement the NCGE algorithm for the 2x2x3 puzzle.

[[NCGE Python Code]]

First, the class of permutations is defined, along with how to multiply them and take their inverses. Then, algorithm is spelled out.

The algorithm yields that their are '''39016857600''' different configurations of the 2x2x3 puzzle. The implementation was subsequently checked with the Rubik's cube generators given on [http://www.math.toronto.edu/~drorbn/Talks/Mathcamp-0907/NCGE.pdf the handout] and the correct numbers were outputted.

11-1100/Assignment I - Permutation Counting

2011-10-11T04:02:20Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled.

[[2x2x3 Permutation Puzzle]]

Here are the generators:

g1 = [1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32] <math> \equiv </math> (28,19,5,12)(9,6,22,27)(10,11,21,20)

g2 = [1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32] <math> \equiv </math> (18,3,13,30)(8,4,23,29)

g3 = [14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17] <math> \equiv </math> (32,17,1,14)(24,31,7,2)(16,26,25,15)

g4 = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27] <math> \equiv </math> (17,22)(18,23)(24,19)(25,20)(26,21)(32,27)(28,31)(29,30)

This is the Python code used to implement the NCGE algorithm for the 2x2x3 puzzle.

[[NCGE Python Code]]

First, the class of permutations is defined, along with how to multiply them and take their inverses. Then, algorithm is spelled out.

The algorithm yields that their are '''39016857600''' different configurations of the 2x2x3 puzzle. The algorithm was subsequently checked with the Rubik's cube generators given on [http://www.math.toronto.edu/~drorbn/Talks/Mathcamp-0907/NCGE.pdf the handout] and the correct numbers were outputted.

11-1100/Assignment I - Permutation Counting

2011-10-11T03:58:12Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled.

[[2x2x3 Permutation Puzzle]]

Here are the generators:

g1 = [1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32]

g2 = [1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32]

g3 = [14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17]

g4 = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27]

This is the Python code used to implement the NCGE algorithm for the 2x2x3 puzzle.

[[NCGE Python Code]]

First, the class of permutations is defined, along with how to multiply them and take their inverses. Then, algorithm is spelled out.

The algorithm yields that their are '''39016857600''' different configurations of the 2x2x3 puzzle. The algorithm was subsequently checked with the Rubik's cube generators given on [http://www.math.toronto.edu/~drorbn/Talks/Mathcamp-0907/NCGE.pdf the handout] and the correct numbers were outputted.

NCGE Python Code

2011-10-11T03:46:23Z

Josh.seaton:

class Perm(object):

def __init__(self, L):
if set(range(1,len(L) + 1)) == set(L):
self.n = len(L)
self.mapping = {}
pivot_called = False
for i in range(self.n):
if not pivot_called:
if L[i] != i+1:
self.pivot = i+1
pivot_called = True
if not pivot_called:
self.pivot = self.n
self.mapping[i+1] = L[i]

def __nonzero__(self):
return self.pivot != self.n

def __mul__(self,other):

if self.n == other.n:
L = []
for i in range(1,self.n+1):
L += [self.mapping[other.mapping[i]]]
return Perm(L)

def inv(self):

L = []
inverted = {}
for i in range(1,self.n + 1):
inverted[self.mapping[i]] = i
for j in range(1,self.n + 1):
L += [inverted[j]]
return Perm(L)

def e(n):

return Perm(range(1,n+1))

def gen_subgroup_order(L):

homogenous_n = True
perm1 = L[0]
for perm in L:
if perm.n != perm1.n:
homogenous_n = False
break

if homogenous_n:
X = L[:]
n = perm1.n
occupied = {}
for k in range(1,n+1):
occupied[(k,k)] = e(n)

def feed(perm,Y,table):
if bool(perm):
i = perm.pivot
j = perm.mapping[perm.pivot]

if (i,j) not in occupied.keys():
table[(i,j)] = perm

else:
sigma = table[(i,j)]
Y += [(sigma.inv())*perm]

for perm in X:
feed(perm,X,occupied)

old = 0
new = len(occupied.keys())
while old != new:
X = []
perms = occupied.values()
for p1 in perms:
for p2 in perms:
if bool(p1) and bool(p2):
X += [p1*p2]
for perm in X:
feed(perm,X,occupied)
old, new = new, len(occupied.keys())

order = 1
for i in range(1,n+1):
order *= len([pair for pair in occupied.keys() if pair[0] == i])
return order

g1 = Perm([1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32])

g2 = Perm([1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32])

g3 = Perm([14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17])

g4 = Perm([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27])

print gen_subgroup_order([g1,g2,g3,g4])

11-1100/Assignment I - Permutation Counting

2011-10-11T03:43:25Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it along with the permutation generators.

[[2x2x3 Permutation Puzzle]]

Here are the generators again:

g1 = [1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32]

g2 = [1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32]

g3 = [14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17]

g4 = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27]

This is the Python code used to implement the NCGE algorithm for the 2x2x3 puzzle.

[[NCGE Python Code]]

11-1100/Assignment I - Permutation Counting

2011-10-11T03:41:12Z

Josh.seaton:

11-1100/Assignment I - Permutation Counting

2011-10-11T03:40:59Z

Josh.seaton:

11-1100/Assignment I - Permutation Counting

2011-10-11T03:35:48Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it along with the permutation generators.

[[2x2x3 Permutation Puzzle]]

<nowiki>
Here are the generators again:
g1 = [1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32]
g2 = [1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32]
g3 = [14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17]
g4 = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27]
</nowiki>

11-1100/Assignment I - Permutation Counting

2011-10-11T03:34:42Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it along with the permutation generators.

[[2x2x3 Permutation Puzzle]]

Here are the generators again:
g1 = Perm([1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32])
g2 = Perm([1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32])
g3 = Perm([14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17])
g4 = Perm([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27])

File:2x2x3 puzzle.jpg

2011-10-11T03:32:10Z

Josh.seaton:

2x2x3 Permutation Puzzle

2011-10-11T03:31:55Z

Josh.seaton:

[[Image:2x2x3_puzzle.jpg]]

2x2x3 Permutation Puzzle

2011-10-11T03:26:31Z

Josh.seaton:

[[Image:2x2x3.jpg]]

11-1100/Assignment I - Permutation Counting

2011-10-11T03:26:11Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it.

[[2x2x3 Permutation Puzzle]]

11-1100/Assignment I - Permutation Counting

2011-10-11T03:25:58Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it.
[[2x2x3 Permutation Puzzle]]

11-1100/Assignment I - Permutation Counting

2011-10-11T03:20:31Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it.

[[Image:2x2x3_rubiks.jpg]]

11-1100/Assignment I - Permutation Counting

2011-10-11T03:20:16Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it.

[[Image:2x2x3_rubiks]]

11-1100/Assignment I - Permutation Counting

2011-10-11T03:13:46Z

Josh.seaton:

The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it.

[[Image:2x2x3 permuation puzzle]]

User:Josh.seaton

2011-10-11T03:11:34Z

Josh.seaton:

[[Assignment I - Permutation Counting]]

File:2x2x3.jpg

2011-10-11T03:09:48Z

Josh.seaton:

User:Josh.seaton

2011-10-11T03:07:58Z

Josh.seaton:

Below is
[[Image:2x2x3 permuation puzzle]]

File:2x2x3 rubiks.jpg

2011-10-11T03:02:28Z

Josh.seaton:

User:Josh.seaton

2011-10-11T03:00:39Z

Josh.seaton:

[[Image:2x2x3 rubiks.jpg]]

11-1100/Class Photo

2011-10-08T18:54:13Z

Josh.seaton: /* Who We Are... */

Our class on September 27, 2011:

[[Image:11-1100-ClassPhoto.jpg|thumb|centre|800px|Class Photo: click to enlarge]]
{{11-1100/Navigation}}

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

===Who We Are...===

{| align=center border=1 cellspacing=0
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments

{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn@ math. toronto. edu|location=facing everybody, as the photographer|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank. For better line-breaking, leave a space next to the "@" in email addresses.}}

{{Photo Entry|last=Blake|first=Chris|userid=Chris blake2001|email= blakechr@ utoronto.ca|location=5th from left, back row|comments=}}

{{Photo Entry|last=Couix|first=Quentin|userid=Couixque|email= quentin. couix@ mail. utoronto .ca|location=2nd from the right, front row|comments=white shirt}}

{{Photo Entry|last=Foster|first=Vanessa|userid=vanessa.foster|email= vanessa. foster@ mail. utoronto.ca|location= front row, 4th person from the left |comments= Wearing a long sleeve T with stripes }}

{{Photo Entry|last=Glynn-Adey|first=Parker|userid=pgadey|email=parker. glynn. adey@ math. toronto. edu|location=Fifth from the right in the back row|comments=Glowing bald guy with yellow shirt.}}

{{Photo Entry|last=He|first=Mary|userid=ymhe|email=yanmary.he@ utoronto.ca|location=Third from the left in the front row|comments=navy sweater}}

{{Photo Entry|last=Hirschmeier|first=Daniel|userid=Dhirschm|email= daniel. hirschmeier@ utoronto.ca|location= back row farthest to the right |comments= blonde guy, white t-shirt with a cowboy on it.}}

{{Photo Entry|last=Holden|first=Tyler|userid=tholden|email=tholden @ math. toronto. edu|location=Roughly in the middle, under the <math> N \triangleleft G </math> but obscuring the <math> \pi </math> |comments= Wearing a black polo.}}

{{Photo Entry|last=Loizides |first=Yiannis |userid=Yloizides |email= yiannis.loizides@ mail.utoronto.ca |location= Front row, far left |comments= }}

{{Photo Entry|last= Mar |first= Philip |userid=Pallenmar |email= pallenmar@ gmail.com |location=4th from right |comments= white shirt among white shirts }}

{{Photo Entry|last=Mracek|first=James|userid=jmracek|email=jmracek @ math. toronto. edu|location=7th from the right (or left) in the back row|comments=Glasses with black and white t-shirt.}}

{{Photo Entry|last=Nobrega|first=Roberto|userid=Rwnobrega|email= rwnobrega@ gmail.com|location=6th from the left, front row|comments=}}

{{Photo Entry|last=Seaton|first=Josh|userid=Josh.seaton|email=josh.seaton@utoronto.com|location=front and centre|comments= red & white shirt}}

{{Photo Entry|last=Smith|first=Jerrod|userid=Smith36j|email=jerrod.smith {at} utoronto {dot} ca|location=Back row, 3rd from left|comments=Brown t-shirt}}

{{Photo Entry|last=Soukup|first=Daniel|userid=Dsoukup|email= daniel.soukup {at} mail. utoronto.ca|location= front row, 4th person from the right |comments= Wearing a dark red shirt.}}

{{Photo Entry|last=Tapia |first=Arben |userid=Arben |email= arbentapia@ gmail.com|location=5th from right|comments=dark brown shirt.}}

{{Photo Entry|last=Thibault |first= Louis-Philippe |userid= Lp.thibault |email= lp.thibault@ utoronto.ca |location= Back row, 2nd from left |comments= Yellow and Blue t-shirt}}

{{Photo Entry|last= Wu |first= Nan |userid=Wunan3 |email= n.wu@ utoronto.ca |location=3rd from right,back row |comments= red shirt }}

{{Photo Entry|last=Zhang |first=Lei |userid=Zhanglei |email= leizhang@ comm. utoronto.ca|location=4th from left, back row|comments=Glasses, white shirt.}}


|}

11-1100/Class Photo

2011-10-08T18:53:31Z

Josh.seaton: /* Who We Are... */

Our class on September 27, 2011:

[[Image:11-1100-ClassPhoto.jpg|thumb|centre|800px|Class Photo: click to enlarge]]
{{11-1100/Navigation}}

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

===Who We Are...===

{| align=center border=1 cellspacing=0
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments

{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn@ math. toronto. edu|location=facing everybody, as the photographer|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank. For better line-breaking, leave a space next to the "@" in email addresses.}}

{{Photo Entry|last=Blake|first=Chris|userid=Chris blake2001|email= blakechr@ utoronto.ca|location=5th from left, back row|comments=}}

{{Photo Entry|last=Couix|first=Quentin|userid=Couixque|email= quentin. couix@ mail. utoronto .ca|location=2nd from the right, front row|comments=white shirt}}

{{Photo Entry|last=Foster|first=Vanessa|userid=vanessa.foster|email= vanessa. foster@ mail. utoronto.ca|location= front row, 4th person from the left |comments= Wearing a long sleeve T with stripes }}

{{Photo Entry|last=Glynn-Adey|first=Parker|userid=pgadey|email=parker. glynn. adey@ math. toronto. edu|location=Fifth from the right in the back row|comments=Glowing bald guy with yellow shirt.}}

{{Photo Entry|last=He|first=Mary|userid=ymhe|email=yanmary.he@ utoronto.ca|location=Third from the left in the front row|comments=navy sweater}}

{{Photo Entry|last=Hirschmeier|first=Daniel|userid=Dhirschm|email= daniel. hirschmeier@ utoronto.ca|location= back row farthest to the right |comments= blonde guy, white t-shirt with a cowboy on it.}}

{{Photo Entry|last=Holden|first=Tyler|userid=tholden|email=tholden @ math. toronto. edu|location=Roughly in the middle, under the <math> N \triangleleft G </math> but obscuring the <math> \pi </math> |comments= Wearing a black polo.}}

{{Photo Entry|last=Loizides |first=Yiannis |userid=Yloizides |email= yiannis.loizides@ mail.utoronto.ca |location= Front row, far left |comments= }}

{{Photo Entry|last= Mar |first= Philip |userid=Pallenmar |email= pallenmar@ gmail.com |location=4th from right |comments= white shirt among white shirts }}

{{Photo Entry|last=Mracek|first=James|userid=jmracek|email=jmracek @ math. toronto. edu|location=7th from the right (or left) in the back row|comments=Glasses with black and white t-shirt.}}

{{Photo Entry|last=Nobrega|first=Roberto|userid=Rwnobrega|email= rwnobrega@ gmail.com|location=6th from the left, front row|comments=}}

{{Photo Entry|last=Seaton|first=Josh|userid=Josh.seaton|email=josh.seaton {at} utoronto {dot} ca|location=front and centre|comments= red & white t-shirt}}

{{Photo Entry|last=Smith|first=Jerrod|userid=Smith36j|email=jerrod.smith {at} utoronto {dot} ca|location=Back row, 3rd from left|comments=Brown t-shirt}}

{{Photo Entry|last=Soukup|first=Daniel|userid=Dsoukup|email= daniel.soukup {at} mail. utoronto.ca|location= front row, 4th person from the right |comments= Wearing a dark red shirt.}}

{{Photo Entry|last=Tapia |first=Arben |userid=Arben |email= arbentapia@ gmail.com|location=5th from right|comments=dark brown shirt.}}

{{Photo Entry|last=Thibault |first= Louis-Philippe |userid= Lp.thibault |email= lp.thibault@ utoronto.ca |location= Back row, 2nd from left |comments= Yellow and Blue t-shirt}}

{{Photo Entry|last= Wu |first= Nan |userid=Wunan3 |email= n.wu@ utoronto.ca |location=3rd from right,back row |comments= red shirt }}

{{Photo Entry|last=Zhang |first=Lei |userid=Zhanglei |email= leizhang@ comm. utoronto.ca|location=4th from left, back row|comments=Glasses, white shirt.}}


|}