apt - colorado state university

2
Meth 617 : Dy 9 . Translating & Saling of Hague musue do wht you expect : Pg ; ht EEZ & ht s , r ER . Th the sits Ets = { xts : xe E } & E = { rx : XEE } one lebessu mantle & m( Ets ) = m I E) , m I r E ) = lrlm ( E) . Prof :S , me this B Imf Hhs fnkmls . ik the on all daily sets & tune on all Bad sits ty Hohn - Kohogww ) . Bt , J the following , whose maske sets are mins f Bud sd3 & mill sb , so wide . to Df : A Radar mane non IR is a Bud mane ( mig it is defined a Bir ) st . D ( Lad fmiknss ) µ 1 K ) < no t apt KEIR . !2! ( Inner 9k$ MIEK III , kguthk ) H EE Bir !3! ( Onto rghig ) µ IE ) = uixfugmnlu ) 4 EE Bn . Pp ; If up 13 the 6kg u - Stieltjis mane associated to g nmotemdeaasy Fi RR , lhn Mf B a Radar mane . Ref : Similar to the gmt mgme in the Prof of The cake f the 6ham . Sticky man in the get was a sgle html . ( see Than 1.18 ink bode fr dltils ) . Das Try ; Gnwsf , if n . 3 a Rader mere . J mnote mdesrasg F : RIR st . n=mf . Iaf : HW . % Df : Tf X 3 a tpobil spree , - a Gs st a X R a cattle mtscetm Id , Un f gun sets Un EX . an For st is a cattle min ¥ , E f dndsts Fn EX . Pp : Let µ ,= he a 6ham . Shelties mere & ht M he true nestle sf . let EER . Then the flbjae quuwt : Q E E M !2! E = U\ N , he U D Gs 4 MFIN ) to !3! E = KV N ' bhe K is Fr & Mel N ' ) : 0 . PI . . !2! !1! & !3! !1! huge mf is aplil . o to H , if E em & mpl E) < x , then the pre . > Psp implies tht , tr g NEW , F open Uri E & got KNEE st. nttunl - I u ,=l# Eu . Ik ) + In .

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Page 1: apt - Colorado State University

Meth 617 : Dy 9.

Translating & Saling of Hague musue do wht you expect :

Pg ; ht EEZ & ht s,r ER .

Th the sits

Ets= { xts : xe E } & ✓ E = { rx : XEE }

one lebessu mantle & m( Ets ) = m I E),

m I r E ) = lrlm ( E).

Prof :S , methis B Imf Hhs fnkmls . ik the on all daily sets & tune on all Bad sits ty Hohn - Kohogww)

.

Bt, J the following ,

whose maskesets are mins f Bud sd3 & mill sb, so wide

.

to

Df : A Radar mane non IR is a Bud mane (mig it is defined a Bir ) st .

D ( Lad fmiknss) µ 1K) < no t apt KEIR.

�2� ( Inner 9k$ MIEK III,

kguthk ) H EE Bir

�3� ( Onto rghig ) µ IE ) = uixfugmnlu ) 4 EE Bn .

Pp ; If up 13 the 6kg u - Stieltjis mane associated to g nmotemdeaasyFi R R

,lhn Mf B a Radar mane

.

Ref : Similar to the gmt mgme in the Prof of The cake f the 6ham . Sticky man in the get was a sgle html .

(see Than 1.18 ink bode fr dltils ).

Das

Try ; Gnwsf , if n. 3 a Rader mere

. J mnote mdesrasg F : R IR st. n=mf .

Iaf : HW . %

Df : Tf X 3 a tpobil spree , -

a Gs st aX R a cattle mtscetm Id

,

Un f gun sets Un EX. an For st is a cattle min ¥

,E f dndsts Fn EX

.

Pp : Let µ ,= he a 6ham . Shelties mere & ht M he true nestle sf.

let EER.

Then the flbjae quuwt :

Q E E M

�2� E = U\ N,he U D Gs 4 MFIN) to

�3� E = KVN'

bhe K is Fr & Mel N ') : 0.

PI.

.

�2� ⇒ �1� & �3� ⇒ �1� huge mf is aplil .

o to H , if E em & mpl E) < x,then the pre . > Psp implies tht

,tr g

NEW,F open Uri

E & got KNEE st.

nttunl - z÷ I u ,=l# Eu . Ik ) + In.

Page 2: apt - Colorado State University

Thntutty u=§,

un & K= I,Kn

,we see tht KEEEU & u ,=lH=n,=lEtuFN

,son ,=lnu⇒=u ,

- Intuit #=0

& µ .( Elk ) tuft El -NHKKO Ihi nine

uey µ ,=l#< Al , so we anht N= UIE & N'

.

- Elk .

The case u.li#xBlnek)Hw . %

.