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The Euler-Hamilton equations and their application to classical dynamics. Topics include Lagrangian mechanics, Hamiltonian mechanics, and the relationship between the two. Euler and Hamilton's contributions are discussed, as well as the derivation of the equations and their significance.
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elAsSMAte
Date
Neus preApezive^ On^ leotanls^
iAeos
ery
dlevelope cluriug 1So year GHer deuaa
e laos
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tedhmique
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it proyide he batle
princiler uaksa nder leg
Meuotaxlafamiliar Sauch^ o^ me^
tiou
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Date
Page
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Date.
Page
Uvdz=
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S0iach (^) _ony i
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OL
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alassMAte
Date
Page
' impue e Cqutvodemcea a Lagenglono OquHo
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Date
Page
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eeparticie
L
(aJ z)
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2
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clASSMALe
Date
Page
OL ( ox^
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fi cHo
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ke efcnce ae
C
Dater han (^) htoecto
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EHiug orce
aASSMAte Date
Page
Conatraint 3
TSi-
x Pendu
T m^ mg
T
T
9 9 S
Date
27generalivel Co-rdin Page
he endu luCLaule
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p )+g^
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terus Couepunt a- Com
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We
treote xK^ ike^
ne
-ondiuate
3:
Lagaarzelz Oquatoj^ or^
Gre
()=
1)-L
classMAte
Date
Page
Non-Holenoai
Cou itE&
Caplame
O 1aeualne
Nelecity dependent Cauaradkz
h n wot be
keg ah to
SumNOT
A (^) yak i^ desibes^ b^
M-Geneeli ed^
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nan
Coun9uvcttaa
Hae e Qxolutan isa Curve is
-Conpled arcler^ usal)us^
in@av (^) Albata
equokion.
Dcine
P P
enero zed noRtUw Ca (^) att
Cwi Cal wngneuu in Cartel oelk o-d
SSMA
S (Ld
Date
SS L d
LiA o gan Uaue
ve wwake tans foraiau
df
d
ction
achar
lASSMATe
Date
Page
Supol.e dL
iigembla _or Cycl)
en we hay e on&exvcel quatty
P t
paeo
elasSMAte
Date
Page
NoeHevk hepre
Conide a Ona^ parametey^
map-
Such tat
+ransrautasn
ai
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stae tuk Cac
S
Con secve quaity_-
So weave
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d
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qua tz
CongtakfovaltweQ.
elasSMAte
Date
Page
omog enety^ of^
apae
traneDaiona
invas icuce^ o
CoAtryatan of^
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Duea
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Lag raulon^
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n
vaied{_Undler
otatons
a
tt b^
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)= L^
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)
Compoueta ot
S e 4 cb tey
Autoi oavatante Space
Uguav wowe
aye pered
a o 3er (^) ve quat