-HiHI lemme 6.65 II. it Bontehrnni 6. 69 to - HI , ) t ( Iz ) (E) - - PDF document

simple proof

6.71 f:[n] → (57 surj

+ Eli

MET

⑨

• HiHI
• 6. 69

Bontehrnni lemme 6.65 II. it

to

(E)

• HI ,)

t (Iz)

• t

fifth iii.it

Hi

this

= --

Birthday paradox

"i:

EH

qrn

• K - gin
• egspsqcl

K -off)

.

Pal

P - ITH - In)c

Irn - ock)

i' ' te

' '

e-Ein

P -so

nce-csi-a.ee/esIIii#iitEii.e'

"

then.

if as 'z

• (f - a)(Ithaki
• 21-22-222=1+24-2-171

A ,

• Am

C [n]

B ,

AinBi =D

BUM

AinBj #0

• i. EIH¥B¥

'

• linear order
• r of fi]

(Ai . Bi )

" compatible

"

r ① toast I

cowpat ?

Aj

B,

② P given i

✓

comp ra-nd.no *

5.55

Hadamard

H - this

⇒ ( Eeg

"in

HtH=nI

( Il)

• rtho

a- =L!)

⇒

lseiil-ai.it#EIiTitiiI=rE..HHIExtHII

. -7,9¥

Httxll -Ellen

6.27 Equiangular lines

• 4. Vj

e-Ices-0

Hui

• rill'=2±2asQ #

m

scintillate)/z

CR

• E. 29

mecha)

• 6.3

A=kij )

B

= -(bij)

rkA=r

bij-aj.nu#trtH.;..j

:c!÷

• Glu. . ..ru/--f

'

'

• rkm

MEH)

A

• Cag

?

rkA=r

⇒ rkB Eff

')

#

Hadamard prod

et

'

H¥)

I

x-oly-tzd-xoytxoz-A-fv.v-r.vn

)

B=( vid

• r

Vi

= 24; y

j=l

V.iovk-II.jp?VjeVioViSpeihaedbyYioVjz

rt l

#

(

z ) ←

Is tiler

• - -

£9

(8) tf'd)t(and)t

• -

Bcn , d)

• Bla ,2) =tz(( if Itta -IT)
• =

=

C!

"

• (5)it G)xt(2)x't. . .
• :

x 2=1

B ( n ,3)I

f×

↳ Htt)ht(Hw)

't

O

= -Iti Bz

• cities)

TT

's

⇒ I '

←

w3

• d. /

co-

Bln ,d) = # Entail

"

• jo

w primitive dth roofof unity

Blai37-foYtfgItffIt.i_tzfItCltwItCituTY@E.E.t

• (Blast
• Fleet

II

=

• '

R=f.kHuItCHw5)

=

1ltwl- I ¥4

( Itil =L

fi ,-1

,

• i

D

• ing :

RE }

Iti

=

• 7. 72 tfalois plane has

a polarity

( P

, L)

s:P → f

bijection

sit

p - l

J

then - (e)to (p )

#

IF

homogeneous coronal

XE -I

= (x

XFO

~[Xx . Xx, 1×37

• I [Pi P2P,]

a E

Ce , e. e,] Ptl if

I

• O
• ( p) :'-( papal

's]

"

frp.IO

Mt tht

t -

T

'

Hittite

.ph?YEIBln.2

)

• Absolute pts .

pE5(p)

p?tpitp

• o

F x2ty