|
||||||||||||||||
|
||||||||||||||||
|
||||||||||||||||
|
| ||||||||||||||||||||||||||||||||
|
||||||||||||||||||||||||||||||||
Below are the first 10 and last 10 pages of uncorrected machine-read text (when available) of this chapter, followed by the top 30 algorithmically extracted key phrases from the chapter as a whole.
Intended to provide our own search engines and external engines with highly rich, chapter-representative searchable text on the opening pages of each chapter.
Because it is UNCORRECTED material, please consider the following text as a useful but insufficient proxy for the authoritative book pages.
Do not use for reproduction, copying, pasting, or reading; exclusively for search engines.
OCR for page 223
fill, Akin Abe, 30,
I. 33
Accented vacation. 72
Cumulates. 26. 27
Plebe. 1. 3, 4. 22. 37. 39. 52. 6~2, 65. go.
/V, Ha. an. an. o- as. ~~ o?
83. 86
80~83,~89
~pl~n ~ 78
bisection, 34
c~bin~ion coupling, 50
computer~b~ed, 78
fined, 77
assign of. 78
devc~p~1 in sibyls. 77
Ivan, 3~35, 36. 39
"pee Ad ~1." ~
theme in mathematics 7
Applications
al~i~bms. 78
asuremc~l. 89
malice. 89
qu=~5c~~, 65
sobs mat~ma11.cs. 86-91
~ 16,~
yea, 12. 16. 17. 24,
~ ,~ 2:
CANTO, ma,
~~,33
~Ct~g]~. 17
dam ~~ 16
age
=ileno Anglo. 16
Cue, 35
~ ~ 1~1
Astrology. 62
A_y. 19S
#~ vow, A, 27
Beet blow, 128
I, 1~. 1~:
Cl~sica1 *. In~nce
Beat age, 2
BE 131
~ ~ 114
Bi=mial
=~ 53
I. 1~. 1~
Biologica1 inst~ilily, 212
Blaslula Ells, 210
Boxpl~s, ~~ Displaying data
,~.~, 1~
as complex. 78. 79
baaing. 73
induct ~ 63.
in hoboes. 63
C~culus.4.7, 13,14,19.28.33.50 184.
215 216
. 1
C=:of SCAM ~
Casio Pubs. 76
C~tast~pbo mobile. 208
Causation. 11 1
OCR for page 224
2~
C#~i^'s ~~e 18
. , .
Ct~losh~ ~ -epics. 198
~ 1~, 111, 114
CROCI 1~ _, 125
Cbanco, 95, 97#, 136; ~~ c~o C=~-
~=e awes. 1~. ^~
. ~ . ., . ^ .
cow,. ~= ~ .~. Is.
Signing -
Cam
=~ 1
co-ed= wing oF 1~
_ in, 183
a, 215
in ma flab. 7
emad~i~. 188
Memoirs. 2, 18~189
act. 1
_, 183
palms motion, 19
~1~1~
lion or 184
in ~b~1 clam. 2, 188
lacing ~ 1~
=ivc~1 conga. 189
ma, 143, 187
flops, placid of 20
Cue, 23. 33
~~ 112
Casual in~nco 127; ;~ ~~o Basing
. ~ ^
1n I. . .~10
Clessi^al~
devours: ~ skills. 146
At. 1~
of sag, 143148
Combi~=s, counting, 50, 31. 52~3
Comb~loda
at. 1
at. #~1
1~1$ far prisms. 1
Cat, 122
~ ~ I, 117
Complete age. 51
at ~7
Campus Ibis, 63
Computes ad ~ fling
a~lgodltms. 78
analysis, 18~187
anal. 32
s upland. 78. 79
C~i~310$ ~d. 39
~ ~ Act. Hi
babes. ~ 14, 30, 161, 167-1~, 1
183
m~1b~matic$, ~
~L, a, 214~13. 216
non number yams, 87
^ , 213
~~prese~l~1ion, 7~77
- simu#on. 177
, 1
ala, 75
,, 1~, 1
_=d. 38
- auk, misplays a.
seal=, auto
o~lcd~. 73. 7~9
~1^ 1
m~, 123
~:: AMEN ~ /- ability
As
. . .
> 32
slicing. 48
~ 14. 15
Colder
inane, 12~131; ;~ ~~o B~yosisn
i e. Classics image.
e Side Ads
1~ 1
~,41
uric sows. ~
C~~d~s. in remans.
Contagion of ewes. ~203
Context. ~ S-S~liCS, 96.
Conduit, 'c~ logy
anon. 194
Concur ~~. 30
Convair vision, 72
C~vox dear, flit
Minds, 32, 33, 3~5
d~sc~lions. 41
dimension, 32
ma, in biker dimensions. 39
gas, 75
Co~lati~ c^~cien~. ~11 1
Cough; gas. 36
USE, 1~
as, ad, 154. Liz
C~s$~s=tiona1 $1iCOs, dele~3tiO~ 06 47
Casts, 155-137
~~ 1 1, 28. a. 30. 31. 32. a. 47. 53.
1 ^ ~
cuing of SS-i8
aging. ~
in Pa $ widen. 24
isometric p~=tion. 28
~1~
o~o~bic projection, 28, 29
Act. ~
Cubic woo. 153
Cal. Add. a. #. ~8
an, 77. 88. a, 95, 136, 17 1^1
dog. 9~7
as.
Act,
~1~ of ~
a-'
OCR for page 225
I sells. 6~>, 77~9. 92
Cyclic In. 72
~'11~
~ As, 22
Awing, 32
Ace. ~
~,~,~.~. 1~ 106 US. 1~
curriculum. 9~7
I ~ 96
I, 112
bent, 113
~~ ~ cam S
Is, 102, ~1~1)1, 115. 119, 126
bag of 112
-es, 63
I. 1^ 1~. 111-118, 13i
Widow
^ 131~.
.~
153
Pansy, 16
Insist
cams, 193
pbe~~m~a. ~ cabs. 8; ;
Cadge
gno~ic meal 99
~ ~\ 1~. 1
I equators. 105
Manse, 11. 12. 13. 25, 30. 31. 32. 33.
Dimensional analysis, 91
_ . . ..
Mason
Amp. 8
Union saws. ~6
dynamic events. ~6
salt, ~
Dingy. 11, 12, 13.23. 30. 31, 32, 3S,
A, 37, 3~. ad, 33, 58, 62. 91
Pact and inverse brim. 72
O^ct~ionsgi~vin;
. ~7
I, 1^ 1
.
Dl$c~lc
mol~ma1ics. 184
system. dynamic 193
~,~.2& 1~1
Apt, 1~. 1
, ch~ld~n, 105
In, 1
I. 1
bistog~ms. 104
mathematical amass, 1
stem~plots, 1~
~ ~~ ~~ ~ no. an __
plea, 12
I, ~1~
~ , 105
DNA, 148. 134
Dodge ~1~. 148
Add, 13~1
I:
Was, 2S
~ Con at-, 1.~1
~~ ~~ Cans. Dishrag dam
-amibe1 trysts. 192-1-
. ~ lion subs, 3~7
~ ~1~
Egy~i.= Is. ~ :~ al
. ~1
Id, 171
I, 141. 176
E-~10r gamed, 39
~ . _^
Ions flu
Id. 1~
~Euclid, 7. 43. at. 77, 139. 1~141, 175.
176
I's m. 161
pollution, ~ War Assam, 74. 81
Ex~u~ive toys. ~199
Ex~d~Iotion, in plan ~ pelf. 185
B~p~to~ data =ily$is, 41, 76. 1
~ ~ A, 1
Fast s Wipe. 179
a. , . .
tab. 4
^~^ go. 49
=sbo~nin~
~~ ~.31
;~c ~~ Cubs
f-~-dimension~ cubs, 30; ~~
Hy~
e
Alas. 23~6, 143. ~
~( I, 11~12. 14. lo, 17. A.
Pail fly exit. 195
Pund~en~1 change. 7
Gem 7. 1~. 1~.
Gauss. 2, 51. a?
~^~& ANTS
Geome~dc
prams, 139
probation of Saudis. 20
25
scars.
Game ~.1.2,11.12,13,14.17, 22.25.
ad, 32.35.37.38, 39, 43,~.173
~nalylic,13
and~bild~n.ll
im~Cca~onsofne~ Pub, 215
^~scntation, Vision
OCR for page 226
~6
am, 1~1
~lid, 12,13 I
161~1~
~ ,l~.le
abut ~p=~nlalion, 7~5~, 108.
~ an
in..
,
, 1S
e ~^ C~1~ ~ at,
~~y~~ dam. Viola
~ ~ .
~ IS0~1=
1~. 175
Pupas. 55
Cot
^ ~ ^.
At, 25
Hi_, lag
maul, 190
a, ad cage, 1
Gum ad Symbol 149
am. Bunko. 139. 1~. 165
~.le
aim,
1~1
X, loo
Cigar d~=sion~ ages. 39
Hi~ maces, 74
y~=u~, 3~1, 32, a. 50. 53~.
~,
50
~~don, 203
Hype, ~
~y~besis essay, 134
_
~ 1 ~ 1 r
expI~n of sy ,~.
^~.~6~1
Is
ago, 205
ma. 1=, 1
Ko~og~v van ~10r. 1
~~ -1$, ~3
Lava ~ ~h~5c$.: 8
~de, 37, 39
~e, 133~15:8
^~dimensi~, 136
1~
esdi~mensi~l. 157-~58
~~ ~ ~o Human, 125
Lag ~ Sodom, 198
Be Item ~~. 118
~ ~ ~~ ~~ 175
hat Was Passion, 111
L'Eng~. Hanoi=. 30
~^
J~1=
L~ 1. 62. 65; ~ ~~ ^1~.
A1~c ~xp=~$
Id, 1
Lag, 37
~37,~
Eta 1~, 1
~ma~ pants. 148
Ibex Sat. 26, 185
Plies. 14
Mapping. 1
~ art, ~
at, 1~, 1~. 1~; ~~ ~~ Did
~la. Reunion, Visualize=
1~, 1^ 1
Image conga, 1~167; ~r
.~,~^
fly VisuaC~^, ~~bemabcal
~ ~ 118. 119
Induction. ~~ Mat i~uc~ion~,
\~1 aura and integer
Pri~=iple of unit ~d~tl~
l~ualiti~os 70
. 98. 102~ 103. 112. 122. 1=,
, go . ^ . .
ant: ~ Q~
^ ^ _
ma. ~~e
Side ISIS
37
1~. ;~ Emu numbers ad integers scalds. 4
Isobaric pr~eclion. ~ drawing cuffs. 28; Mucus, 3
~ ~~ Cuts, ~~osbo~enin~. ~~atbem~ics
O~bog-r~bic proton
Jupilc, 201, 203. 206
boos. 3
stairs, 3
altitudes. 3
Imbue. 3
bavi~, 3
a, 141
dicb~o~its. 4
induction, 82~4
mollify ~ cab. 196
at. 1~111, 16~-163. 178. 1~,
1~96
comparison gig linguistics. 14
cu~ulum. 62. 63, 65, a. 77, 88 91
92, 9i. 9~7. 136
OCR for page 227
~d~l$ of, 3
Owls, 62# 91~2
i~or~o ~~ fly lying. 1~4
informs: ~c, 80
~in~i~~ of old style. 184
paltry ~~ #, 1-2
~~ 4
public ~~d~ on 1
Diced. 184
Is ~ sc~ss, 95~, :~1
v=~ly in ~w Dumb. ~164
em~ics ~ cabby, 1~
levy of dumpy 18~189
Berms, 63, 65, 87
maxims Ed Ins 72
1~. 11> 11% 1=
~~asu=~S~1
of dimension, 14~; '~ ~~o License
cut ~=e in m^m~cs~ 6;
~~ ~~ ^pp~l~ic~ions. Qu~iBc=~i~
sag
q,~ilalive c~~~t$. 91~; ~
Quanli~cati~
~ 14~ 15, 16
Bedim, 107
~tCO~CS. 19~8
I. 131-153; ~ ~
I. ~~ Comet, Solid
aroma
Mobius ~d, ~145
tiling, 69; ~~ ~~ ~dido=1
pro ~bil.it,
If. 1~. 161-16S, AS, 1~; Ala
Di$pl~ing day. Rc~s~ntadon
gaming
imps of technics amps. 145-146
of sobs. 14~S
ace ~~ C~lassificali~
~u=1
rumps ~ indoors. 82. 84: ~
Pd~iplc of PI l~.~ti~
patterns. 148; '~ ~~o Palms
Amp problems arid Ibid
I, G^1#
Edgy, Sir lsaac. 7. ~198
~o~a~1 dis~ib~ution. 1
Number
. ^^ -~
lines. j~]
seam. 79-80,
tbcory 66
use 67. 6~
Number systems, 61. 62. 81~88. 92
algebras a~ topological physics, 81
cvo~lu~ion off 74, 81
Stud of. 8S
w 87
. .
^:^-
. ,
fumed
t~dmenlsti~ in c~ge~ 19~196
I. 69
(~S=1~, 73~; 38e ~~ I
ad, ~~ v
~logy, 62
, 1S
I. 1~ ~- at.
V~isuali~
ion~ion of sb-. 143
at. Fit
Cuds. Ding. Dewing
~l=~c Diction
Oscar as, King of Saw. 1~, 2
.~.S.^ 1~;~
_ility
act, 1~. 1~, 1
Overly beads. 72
Paw folding. as a leg am. 150~151
loos, 1~17, 21
Act, ~
P~scal's dimple. 33
Acts
~ , ~ 1
in coup, 56
On of, 1~
idend~c~- oF 1
i~n mal~maticS$, 8
mauled ~ nudge, 61
gut, 1~
;~ ~~ Conn=tions. dogmatical.
Remains
Pendulums, 45
6n , 1~
151
dod-~ubling cascade, 185
~~u~ions. 55
Pb=c
, - .
203
as. ~1~
~Pi, ~atbem~ici1 CO0St~l, 13. 23
dcF~i:ion oF 33
c~ ~ 336
Pager. 1=
PI values 74. 80
evolution of, 74
nol~i~On, 74
numerals, 74
~ , 1} 13, 1^
Planc$ Ad surges. 36
Pl=~1=y motion. 1~98-2~
wincers Honri. 2, 199, 2~20~2
OCR for page 228
:~:o
4~0
yb_, 1~.14S, 1~,131.154. ~153~,
158~, 15~. ago, 1~61~< 1~73~. 178
slit oF 48
y_ibl$, 63~. So> all, ~$5~,~ I, ~87;
^ ~~- sy~m$. ~~c
age ~d~n
Blows. 13~8
, 1~'
~~1~= dots, 18~198 ~
.~.~.~^
~b~
If_
amble ~ fit Dada. 82. 83; ~
~1 number ad 1~=,
as. Rad~ _.
^ 1# ~ ~ 1^
d#1~. 1~1
tics, 1
~ 1~1~, 1
question, 132
Ages, 1~-121
reboot for Phil . 9
_ Act. S
~ kale. 73, 78
As
of nu^r use, e
of awed at. lil; ~ ~~ Sag.
Synod
raided dog. 1 12; ~e ~~ ~
P~chol~ical Drab:; ~ On
slicking ~ 48
ace casual; ;~ mad cuts
~tbago==s, 61
Qu~tibc~-
~pl~^s 63
ma, 61
coning. 67
dad ad Dylan, 62
cvc~day. 79
~~nla1 CODES,
. ~ . , ~
10~211=, O]
in~tc~=ion of. 62. 720
livery. 65.
ma, 1
ongoing, 67
r of aims. 79
psyc~ogic~ ~sc~b.
==oniog, 62. 67. 92
lalionships. 66, 72
s~b~1 curriculum, 6~. 77-79, 92
apology, 62
of vision, 133
~i~los. 107
LIZ crystals, 155
:: :
Radio ages 171 ~~ ~
$
It 1~1
Mass
. .
~1
1~29, ~1~1~27.~ ~1~S~1~1~34~ s
i~ as, 98~# 2:25 i
in supply. 11~117, ~12~1!27~, ~1~2-
134; ~ ~0 ~~ as.
Act, Offs. may,
s~sss=~s~sUnc
an, 2~. ills
~ ate, 70. 72
to. 35, HIS. ~
~ ma, go, 2~ 23
_
Ret pumas. ~5,
Rec ala. ~8
alla
OF 1~
~8 ^ ~1~-
# at. ha, ~
Merlin as. 143
R~S%~. 1iS9
guidon, ~ cat, 8
go, 16I~1
1
~~1~
imp ~ion, 1~167
1~1
a, 161~163
1^ 161~1~, 17& 1
. , . ~-
~ n~ ~ an, ~ ~
~ 1~1
;~ ~- Displaying ~a, Vis~l:i~i~
Beam, 20~
185
drugs SO
dogmas, 2
&~. 1~
^n~
1=, 1~
;~c ~~ ~ability. R~mncs$
Sag. ~3
Sc^ gals, 161, 178
alit. 143
Schulz, 110, 132
, ~~ ~~. 72
Aim. 1~
Scans, as ~ legging aid, 36
Sel~c^&~=cc. ;~ Sam
, 1~1~.
in lags, 139
Somi~gul~ glyph, 135; ~~c ~#
Polyhod.ra, Result Flybys
SO ad scold diagrams. ~
Shadows. 163~164: ~~ ~~ R~p~$~a-
tion
OCR for page 229
:
saga
Was of sat, 140
~~ 171~173
. ..
~ I, 1~ ~
in :~ ~ulu=. 17~176, 17
itch., also
in~sciplin~ neat 177
~ ~~ scions, ~1;7~179
Caulks, casts, Is. 1
oat If. ~1
of pact, 146
ad pates, calculi is~ ~ 171
, 139
^ ~ ~
at. 1~ 14
pat abets. 1~,
, 155
Sat as, using C~v~d's
plait. 1.~; ~~ ~0 Vane
Sio~s~ki at. 25
Signi~=ce fists. 131-134
_ ~ 173
Similarity. 20
Id 141
I. 175
~ quit. e
;~c ~~o St~s~imil~,
Simplex. su~implic~s. 33
3~ 16 1=, 1- 1~, 1~, 1~.
130.134
c~.le.l~.
Saga 1S
Slicing. 4~0; ;~ ~~ ages. Cuts.
lybe~. ~ids,
Is
SoUd 8~ 131~ ~~ ~~o a,
Plebe gloomy
Spbercs, 43, 49
daring, 32
splicing, 47
volume of. 14. ~15
. 1~. IN
1^ 111, 1 14
, ~ 33~58
Stale systems, 1~. 20S
at, 1~, 1~, 11~ 1~;
~~o Spiced
She I. 101
S~s~.=
S~i~ic~
Id, 112. 11~118
Ike. 103; ~~c ~~ loo
signi~canco. 132; ~~c ~~ lance,
Sig~i~c~cC USES
I, 133
~,^ 1^ 11L r
126, 127. 134, 13i, 136
Shad vast 72
S~co~ And atom _., ~1
Sat, combining multiple, 7
my, 1^
Serene, Ill
SO age, 8~1
c ~ 1~, 1
in dog. 108~ ~
ova. 13~151
at, 1^ 1~ ~
Pang a. 1is5
Scam ~~ in areas, 6
signi~c~e ad use, 15~155
auk In, 151-~153
~~ ~~ a.
Sym~me~ ala:, 2~. 208. 2~12. 2~14, 2~3
~ ~ 131
T=icsb I. 37. 39
Tray ~ n_# urn 6
\~ use
gabbing. 187-188
~,1
ma. 1~
~~ ~~ Cumulus
atom USA, 1~
assets, 30; ~~ ~~ Bye
~.48, 16
Tilings ad alas. 11, 149
Time. ~ me Dough dimcnsi=, 43
Tim, 203
Logy, 1~146,
gas, S~39
Haloid. ~
~ ante Ills. ~1
As
ala. i2
simil=.~21
canceled pyramid, 20
They. Jan. 103
Tubog's liner shirt 212
lea ala, 185
USA. 171
[arty
ad change. 8
mealy 98~9
Ice ~ 133-136
~~,9S
voodoo ~ ~ndamonlal skill. 136
r ~~ Cab, 1~. Outcomes,
an.
, 1
a,
Y~abl~s ad Mullions. a. 70
Variance, 125
OCR for page 230
\~bdon.,~ pa _ s,1~35
V ^ 1~ ~,~19~3~1~96
V}~39
Vi~>s~as~p~iof
... .
v Asia
im~g~ ~1~84
# ~ _ gob. ~~m~8
/ , 1~
_r, ~ 1~1#
dknens~s.24
arm. S.
at
1 ~ ~ ~ r
# 171
~ ~~ 17~1~71
ELI gall ~
=~1~dEhe~d~:s~,41
~~bl~$.47 ~
qu~li~ive~l~ianships.74
Mung ~ =~i~$,6
Volu~me,14-22.~26
~81^'$ ~C, 18
::
his:: ~^
~t14~6
oooe,14.15
~1 avow. ~ 18
di~e=~t,~l~6s.
.~.1#' ~~
#p~s~d~ d,20~2~1,
By ~s~.~1~6
pyre ~d,~l~:l~6;~s~2032s~l~
~be~,~i~1~4,~1~,~s~1~
~~ Is:. .~
1
`~o~,J~..154,~.~1~5~.
art, At. 1
W~md,~34.38
Ha.
X~
ink -~ ns,155.1~7~3
10_~. 50
Z=m=.C~istopbor,208
OCR for page 231
ON THESHOULDERSOFGlANTS
New Appro~besToNum~erucy
~A~B~T1CAL SC1~ENC~ES EDUCATE BO^~RD
E:x~~uL~ Dig_ Ten
Ho-=
Saga Coo~inabon. Lit P. Roan
Senior ~ec1 Assists )=a Halsey
Senior ^~1 Assists, Carol miff
NO ACADEMY: PRESS
Edit C noon, Salls) meld
Em C-~in~ion, Bat K1-
~^ Cat., O_ a.
Cover Design+ pasta mobs
G~bics, Jades Buffer
CO~~SlTIOX COURTESY OF
Amedc~ ~atbemalica1 Stied
Pl~A~ClAL SUBPART
We wish ~ 1bank He Carnegie Co~ration of ~~ York ~r gum of
Abe d~velppmenl. publication, at dissemination of ibis document. Me also
Fib embank He Andes W. Della Auction Or Fir auto of tier
, · · .
c~s$emlnallon.
~^S COLBY OP
Axes Ingot. lnc. (p. 63)
Sag Shear Ha. 148, li2. 178)
Major Se~ha1 {p. 149)
CO~MPuTER ARTWORK COURTESY OP
tomes Anchor
Divide Condone
David Moore
231
OCR for page 232
ace
~ -
AR~ORK Cast OF
J. Weeks. ~ ~ ~~, Mabel Chef. ~c. (pp. 143. 1~)
P. S~e~s)~.~S~Li~,~ii~C^~(p. ~1~)
Cb~r ~~) ~>,~C~s-~B^~i~(p~,~!~52)s 'its
R.J Gary, a, ~~ ~ ^~ (Pi 156)
B. Gum ~ GAS: S I, ~~ ^d age, a.. _~ #. 157, 139)
.~.~. en -~ ^~I~(p~.~ 12)
~ _
Foamy aging A Julia Mu,' by Incur alit A,
~- ~ Act, Cheesy ~ he ~Li~b~s~s~s~f~#gr~ss As. 1~65)
ARC. Or lea, C-on Cabal, Rolled (p~. 1~)
B.~S~s~"~_~
e~ 1^
= How's lung aging, July 26, 1~,~ Out Up. ~9)
-I. 1~
~ A. Bonlloy ~ W 1. papas, ^~ ala, ~b~er~^blk~o~s (pa. fig)
R. Ab ad J. leaden. F~~ ~~` Addi$on-~sl~ ~i~^g
^,~,~ 1~
R. ~ ~ C.O Sba~. ~~:
~ ASH)
~~ a_ ~ Be6~r, Ala lass
~I. Sledge Oo~ O~ ~ ~~? Basil B~l=~ell, Tic. ~ 185, 1~, 201, 205)
J.~.T. anon & ~~.B. Seal. ^~r #~~ ~~ ~ , Jog Wiley &
~~,- 1~,~)
G. ~= in S.A Eva (a.) ~; /~ ~~/ 6~, ~~ Asian
Act. 193)
. ,
T. ash, ~~ sit of Science & ~bnology (p 2~)
a. Scum, asks in he Nova D^cl~on1 of Re~ Miens 1, a,''
~ R. a, a. a. 21 1)
JOT. Thompson, OOZE ~~ ^~~ ~ Sc/~ ~~ ~~, Jobn
. ^ , . ^
~ Sag Ha. ~ ~
A. Winch and S. Spitz. ^~7 ~~. Volume 7. No. 2 (cover),
~ ~~ a. 213)
a. fluky. 'eon t~ Moped Gets Ills Sass.- Sc/~r 4~. Illust=tion by
fascia J. Wan (p. 214).
Representative terms from entire chapter:
foamy aging
