Baszsekpafsamphglquaut.ge

Signal f Ith glx yete

cpka.bz Capella.b3xGd3

egamplitude

of e.g shadyof

signal partsof a picture

Def Ser or PierIR negion

is tis

Note Copes acids and it isoften

more convent to think about complexs

We maywrite CF S where f ou SLI

Ir IR or when wedon't want to make

a choice

Sandy choosesample points

to.tn tn ie Ea ban fx j e Ca DxKid

and consider

ftasmpb.lt

me think of gassnapproxinaton f f

QuantumIts common to use binary

grantyation

binary digits

So if values f f range insome mm

Eymm y maxthenI

decided

1 bit grants.to J2 bit wantsuh

iii

iiii

if Ymir O Snax1

measign a yrate in an n titnep

In genialto 19.24 In

y admin

1 12 fm tyminymay yminshift

between os prescale back

encadyhow high

in inhrrl

Vedrspaessomeosehtvectrs.pe

Cp S is an Fvectorspee

polynomials f degree En is an n t I din't

vectrspef dy In

Prope if Bg are polynomialsin and have

somevotes at distal pts x xn then

f g

PI We can assure f Q Smeis

n or 0

in this case FTA f g IG ai

know that at xi fait gCais ftp.t o

go xiseej getntl detectfats

bas f g o D

CI dy doteutph a auf

polo IdgafEnt na

f IIIis aniseIvectropes

jostdoned inject boyleif velure

bae brief't deke

a s t i1 if X ai

so surjecte

0 if ak i

not needed smef d ve Ifnbasis 1 x

We recall F has an inn product

x xn y syn Ex Yi

alluskly

Ex xD

e

Suppose wehave a basis b bn fr F

i e if in

a diathesis is abasis of erects

I In suchthat fibj Sigi

Thisisextenebuseflmpr.cl

Suppose we have aused basis

b i In and sore neck fief

m know abstractlythat we can

write it spits sore pibut

how do we find thepi's

if one knew I Ii'sin standard

bars

fr F can computeT.fi

Keith Ig spitsp

So lets youreunite in terms of Tsi's

matrenotote

Tsi Fj fi j meansa

wk f j fas a

column

a

butthis is themetreequation

Iiiiii

it

lets read this in In algolani

guna basis Tb ibn B mats

with

Ti's as columns this isthe changeof basis

matrix fedB ETI