. . . . . : o . affine indep 4 . un . . VECTOR #TEN NO IN 2 - - PDF document

Affine combination

"

" K

{ Save

I Ea #I

affine hull

gene

• .

... . .:

4

affine indep

NO VECTOR#¥TEN

IN 2 WAYS AS AFF . COMB

as=

and

Epi

= 0

then tipi

• O
• it

Fink field :

domain of wefts

mod p

p prime

Fp

HI

= { o , 1,23

2.2=1 It 2=0

a b

= O ⇒ a =D

• r

b = 0

snod\6

23=0

• rder of Ifs

is

3

HIT

3

"

SET

cards

← II

"

"SET "

: affine line

LATIN

SQUARE

nxn

I

3

2

3

21

((

n) : # hxn

2

I 3

Latin

squares

Lk ) 21

'Sinitta

's :c:

n

n !HETE

L (n)

e ( n !)

"

s (nh)

" = hh

'

(⇒

"

• ton Lin ,

cnn.is!nah

~

(THIT fn L(

n) -si en n

Steiner Triple

Systems

IT E

)

• _{all 3- subsets
• f

Cris }

Yz

ttxty

E fit

←points × Y

F !

line E J

• { x

FANO

PLANE

¥

PROTECTIVE

SPACE

#

*

t

112340} "

¥

¥¥

"

set of

• equivalence

1T

"

classes

RHA

projective plane

XIV

plane -_{xlx.ro

}

famous

coordinates

at

Ca , and # 90,0103

field of

• rder p

~ [Xa

,]

7*0

size of equiv

p

• I

p2 ,

F-Erik 's]

via

• O

pI=p7ptI

points

pnoj.gs/aneoforderp

P points =L lines

= G. classes

# p2fpt , ftp.#gazas3AAsl68coL*hfEEs'

E

• COORDINAIZATION

p=2

0100

p-fqyizJ7-It2tI1o1oYtt-g@11ol-f1.o

, if

Ftz y=¥¥#⇒ o

P¥dent

0010×-0

81 ,

°o¥i.PE?Ifz=o

5 !

= 120 pennis

60

even

"alternating

group

"

sp of notations of dodecahedron

• Felix Klein

:

Icosahedron t 5thdeg Eg.

Evanite Galois

t 21 Galois planes

Finite

prog

(P

, L

, I )

P

"points "

F !

L

" lines "

• _

IE P x L

&

incidence

¥¥

4 - point axiom

74pts

, no 3 on a line

If Some line l has ntl pts

l #

m

n t I

DO

then

( t )

every line has YI

*

G )

every pet has

n ti

tries through it

) IP I =/ L l

= n't nt I

DU AL

• f

CP, L

,I )

is

( L

,

P

, I

' )

Do

pal lap

The duel of

a prog

is

a prog