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k 16,2021 G tdes q brawl line eqEoe at getafe f e pelo E x E I E E whetes the speed of the Special lens G in space time Ei ye too Ghoek p do at x goal Genuec Shock Fifth sng otr.ae FQ.x 1 x iuedzSabedx 9a 9s asoebTEaedxtIed.x FIE f her denuding

FQ - MIT Mathematics

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Page 1: FQ - MIT Mathematics

k 16,2021

G tdes q

brawlline

eqEoe

atgetafe

f epelo

Ex E IE E

whetes thespeedof the Special lensG

in space time

Eiye

tooGhoek

pdo

atx

goalGenuecShockFifth sng

otr.aeFQ.x1x

iuedzSabedx9a 9s

asoebTEaedxtIed.xFIEf her denuding

Page 2: FQ - MIT Mathematics

SEEdxt.segtSbEdx Jeff

T T9 Ex

µmhgte at

g tea tip ft ft EF meansevaluate ato o

0 5 5 Iff p'Tloi IT1Rankene HeyoneotJump

auditions

5 Equivalent courervation

EEE

Geometricalinterpretation

f value ou left

Ee valueouought

me ftp e7ssuwIiiTeEautf k

Page 3: FQ - MIT Mathematics

N e G szC f p is concave

i

Bathedatgo 93

ayUoGia

swaimineT

e7Shocks are discontinuities placed

0 STOP

the charactersEar fromcrossingthus

YEEEEEEEE.iqonwY

Page 4: FQ - MIT Mathematics

µchauffeuring qqnµ

shock speed

t.am mIsnTTn9coavexpdegcreqeusecw

treeless

Flood was Tks 7

GranberryY

ezfft9

0 with no shock as revenue

but Is1 www.EImuh

Page 5: FQ - MIT Mathematics

T

Page 6: FQ - MIT Mathematics

Ext del a

Slu saltshier pde wheresmooth

f t 9 0

Shocks are introduced to stop

swE s5 EE.eEEE.mu

I

oneI

IcreamierEgualo

Note this depends ona conservolinlaw

Need awhocks

Hasto be phyuodacowardinu t u

U tUUx cous.ITI O

Page 7: FQ - MIT Mathematics

u t wu

Exa In Gas DynamicCEulerEgas

couturemass

smooth Shs momenten V

ennen

aid eutnvs.GL TsEtTeudx

h qIIIEfEu I

InustfootaatsushooEMW

Y

gnecoeleseoneessslu.dk

Page 8: FQ - MIT Mathematics

Neatheryaboutshooks Keeps model

shek siree

aeehaes

Endo