| chapter |
page |
line |
read |
should be |
| 1 |
3 |
-5 |
im |
in |
|
3 |
-7 |
_\wedge (i.e., _∧ ) |
_\vee (i.e., _∨ ) |
| |
5 |
8 |
De
Morgans's Law |
distribution
law |
| |
5 |
11 |
laws of
negation |
De Morgan's
laws |
| |
7 |
1 |
[Gar1] |
(SEE REMARK 1) |
| |
11 |
-12 |
two |
four |
| 2 |
13 |
2 |
And |
Can |
| |
13 |
3 |
And |
Can |
| |
16 |
-12 |
or |
of |
| |
19 |
-2 |
vertices |
vertices,
edges |
| |
19 |
-1 |
f_1 |
f_0, f_1 |
| |
23 |
6 |
left matrix |
(SEE REMARK 2) |
| |
23 |
3 |
diagonal |
triangular |
| |
23 |
7 |
of |
or |
| |
27 |
6 |
S |
a set |
| |
33 |
7 |
5 jars |
3 jars |
| |
33 |
-17 |
n-m |
n-m+1 |
| |
34 |
13 |
n |'s |
n-1 |'s |
| 3 |
46 |
16 |
1 3 2 1 |
4 3 2 1 |
| |
56 |
-5 |
(b_1, n) |
(b_{n-1}, n) |
| |
56 |
-5 |
(b_2, n) |
(b_{n-2}, n) |
| |
56 |
-5 |
(b_3, n) |
(b_{n-3}, n) |
| |
56 |
-5 |
(b_{n-1}, n) |
(b_1, n) |
| |
57 |
-6 |
adjacent.
bells |
adjacent
bells. |
| |
59 |
-16 |
the next |
a later |
| 4 |
63 |
|
*
|
U
|
*
|
*
|
L
|
*
|
R
|
*
|
*
|
D
|
*
|
*
|
*
|
*
|
*
|
*
|
|
*
|
u
|
*
|
*
|
l
|
*
|
r
|
*
|
*
|
d
|
*
|
*
|
*
|
*
|
*
|
*
|
|
| |
63 |
-9 |
five |
four |
| |
64 |
-11 |
five |
four |
| |
66 |
7 |
matrix |
array |
| |
66 |
-5 |
f_1r_1 |
f_1 |
| |
70 |
-2 |
2x2 |
2x2x2 |
| |
80 |
2 |
[B1] |
[Bur] |
| |
81 |
10 |
[f_1.f_5.f_6] |
[f_2.f_1.f_6] |
| |
86 |
-1 |
denote |
and $\ell_4$ denote |
| 5 |
89 |
1 |
that there |
there |
| |
96 |
-13 |
S_{54} |
S_{48} |
| |
99 |
-5 |
S_4 |
S_{48} |
| |
104 |
2 |
S_{54} |
S_{48} |
| |
110 |
6 |
Feynmann |
Feynman |
| |
116 |
-3 |
for all x beloinging to X |
(SIMPLY REMOVE) |
| |
117 |
-6 |
H |
|H| |
| |
118 |
17 |
lemma |
proposition |
| 6 |
124 |
-15 |
(sometimes called the toggle vector) |
(SIMPLY REMOVE) |
| |
129 |
-11 |
E_{22} |
E_{2,2} |
| |
130 |
5 |
M_{N} |
M_{N\times N} |
| |
132 |
-2 |
\vec{v_i} |
\vec{f_i} |
| |
134 |
19 |
if |
of |
| |
135 |
12 |
theory |
theorem |
| |
138 |
-14 |
1,12 |
12 |
| |
138 |
-13 |
2,9 |
9 |
| |
138 |
-12 |
3,10 |
10 |
| |
138 |
-11 |
4,11 |
11 |
| |
138 |
-10 |
5,7 |
7 |
| |
138 |
-9 |
6,8 |
8 |
| |
138 |
-8 |
|
5 |
| |
138 |
-7 |
|
6 |
| |
138 |
-6 |
|
2 |
| |
138 |
-5 |
|
3 |
| |
138 |
-4 |
|
4 |
| |
138 |
-3 |
|
1 |
| 7 |
148 |
9 |
digraph |
graph |
|
148 |
14 |
3x3 |
3x3x3 |
| |
148 |
-2 |
I was |
I was born |
| 8 |
158 |
17 |
|
remove "," after cos(\theta) |
| |
159 |
3 |
lemma |
theorem |
| |
163 |
2 |
number |
number perfect |
| 9 |
169 |
-2 |
sgn |
sign |
|
174 |
20 |
f |
\phi |
|
178 |
-14 |
g_1\cdot g_2^(-1)=e_2 |
g_1\cdot g_2^{-1}=e_1 |
|
182 |
-1 |
f(G_1) |
f(G_2) |
|
187 |
-5 |
C |
V |
| |
191 |
9 |
a+b+c\equiv 0 |
a+b+c |
| |
195 |
-13 |
|
missing commas after x_1 and after y_1 |
| |
197 |
12 |
diag(v) |
(SEE REMARK 3) |
| |
197 |
13 |
|
(3,3) entry of the 2nd matrix should be 1 instead of -1 |
| 10 |
201 |
-11 |
transpositions |
the generators |
|
217 |
2 |
n+1 |
n |
|
217 |
10, 18 |
h_j |
h_i |
| 11 |
222 |
1 |
v(g) |
vec{v}(g) |
|
223 |
-14,-15 |
H |
H' |
|
226 |
-3 |
(r,s,0,0) |
(r,0,s,0) |
|
228 |
-16 |
v_k |
v_{k+1} |
|
229 |
-1,-2 |
\equiv |
\cong |
|
231 |
-1 |
10^6 |
10^7 |
|
241 |
8 |
plane |
line |
| 12 |
242 |
9 |
|
(SEE REMARK 4) |
| |
242 |
15 |
|
(SEE REMARK 4) |
|
244 |
14 |
plane |
line |
| |
245 |
-9 |
F_5^X |
(SEE REMARK 5) |
| |
245 |
-10,-12 |
F_F |
F_5 |
| |
246 |
3 |
elementary transvections |
(SEE REMARK 6) |
| |
249 |
15,17,19 |
P^1(F) |
P^1(F_7) |
| 13 |
252 |
15 |
f_V |
f_V:G\to S_v, g \mapsto g_V
(SEE REMARK 7)
|
| |
253 |
4 |
f_{EV} |
f_{VE} |
| |
257 |
-20 |
S_V x C_3^8 |
C_3^8 x S_V |
| |
257 |
-16 |
p(g)\vec{v}(h) |
p(g)^{-1}\vec{v}(h) |
| |
260 |
-10 |
Corner |
Edge |
| |
261 |
-5 |
r \in S_V, |
(simply remove) |
| |
263 |
-1 |
5.10 |
4.4 (but no edge-labels are given) |
| 14 |
270 |
7 |
the pile is |
the stack of cards is |
| |
273 |
14 |
M_12 |
|M_12| |
| |
274 |
8 |
F; |
F: |
| |
278 |
8 |
A_24 |
A_{24} |
| |
279 |
9, 10 |
weights of the |
weight distribution of the |
| |
279 |
9 |
[n, k, d] |
where n is the length, k is the dimension, and d is the minimum distance
(SEE REMARK 8)
|
| |
280 |
-11 |
12.3 |
12.4 |
| |
283 |
2 |
mthods |
methods |
| |
283 |
12 |
left |
right
|
| 15 |
285 |
4 |
Abyss |
the Abyss |
|
286 |
17 |
face |
corners |
|
288 |
-5, -4 |
G_{k+1}/G_k |
G_k/G_{k+1} |
|
288 |
-3 |
m_{n-1} |
r_{n-1} |
|
288 |
-2 |
n_1 |
r_1 |
|
289 |
1 |
g_{k+1,j}G_k |
g_{k+1,j}G_{k+1} |
| |
289 |
2 |
n_1 |
r_k |
| |
292 |
16 |
(1,2) |
(2,1) |
| |
292 |
18 |
(4,2) |
(2,4) |
| |
294 |
-16 |
[FRU \cdot
FLU]^3 |
(FRU \cdot
FLU)^3 |
| |
294 |
-12 |
[FRU \cdot
BLU]^5 |
(FRU \cdot
BLU)^5 |
| |
295 |
12 |
bottom |
bottom and
left center facets |
| |
295 |
-2 |
UL |
$UL$ |
|
298 |
-5 |
9.4 |
10.4 |
| Bibliography |
299 |
missing reference |
|
[Bur] R. Burn, Groups: a path to geometry, Cambridge Univ. Press, 1985. |
|
299 |
missing reference |
|
[Gar3] M. Gardner, Eight problems, in New Mathematical Diversions, M.A.A, 1995. |
|
301 |
-18 |
group |
groups |
|
|
|
|
|
| REMARK 1: |
The problem is
described in [Gar3], "New
Mathematical
Diversions", instead of [Gar1]. |
|
| REMARK 2: |
3x4 matrix would also be appropriate
for the example. |
|
|
| REMARK 3: |
The function diag is not
defined.
(It defines a diagonal matrix with the given entries on the diagonal.) |
|
| REMARK 4: |
The matrices on
right hand side of
the equation should be swapped. |
|
|
| REMARK 5: |
F_5^X is not defined. |
|
|
| REMARK 6: |
The term is not explained in
this book. See transvection on Wikipedia, for example. |
|
|
| REMARK 7: |
f_V is defined to be the map F_V(g)=g_V. |
|
|
| REMARK 8: |
the notation is not defined. |
|
|
|
|
|
|
|
|