r exn + b) wele xn+r tl 3 tt5*t/ f. Ar.( C r t t?, A l;e-', - - PDF document

r exn b wele xn r
SMART_READER_LITE
LIVE PREVIEW

r exn + b) wele xn+r tl 3 tt5*t/ f. Ar.( C r t t?, A l;e-', - - PDF document

ft t7 +tl? ltn e,otus t 7 6ocvt/ -n'fe. IM 4f K W A F / t 4 O e q Q K F ^ 4 letf1; 1* 9f *JV*9K'/ Ont|rt** ?nl 1o*ra> 3o*r1> iF K rnn, W W & utJ ru' ll+dt* fu/ r exn + b) wele xn+r tl 3 tt5*t/ f. Ar.( C r


slide-1
SLIDE 1

ft t 7 6ocvt/ t7 +tl? ltn e,otus

  • n'fe. IM

4f W K

A

t 4 O

letf1; 9f 1*

F

e q Q K F ^ 4

/

*JV*9K'/

W 1o*ra> iF K rnn,

& utJ ru'

ll+dt* fu/

xn+r r exn + b) wele

f. 3 tt5*t/ tl

Ont|rt** ?nl

W 3o*r1>

Ar.(

slide-2
SLIDE 2 t

t?,

?-,*blv Jrnr n "^^rt e tn d* *L-r,-h*L

( g**-g (ts,a (M*.)

B"b (rr ry

  • ola^

) ;

t t a L'Vfef'ft-t{

tu4ult \,ut *,ft7' i],y"_

Io"V% q \-r ytt4

5ea^vlry c= rne vneln

V .-r-tE

A r t

l't tilc- d** vl pis b y c 6wf ^i,-? cA ud'n =

  • ri
  • t
  • W"qlS:=t'*?

i,

C r

A l;e-', O ?@V Mss 1ao f/ivl.*,e-| ?rt

"6 r 4/ t 5* h;-fu c.nA I *-J a,'^

  • e. ftL.

ftne_ +" (?-t)(6-l).

@ w@ cauare"rtd , rl = (.7

a-*A A 4,r4L*l,-j el =l6"rA(f{) ,c\i)

u

at-t{

bT

[1-K

b.*

slide-3
SLIDE 3

ln[13]:= P r i m e Q t t 1 0 1 , 1 0 7 ) I Out[13]= {True, True} lnfi 4l:= n=101*107; plot, [ {tdod [x^3,nI ] o {x,0"n-1} I

1_0000 8 0 0 0 6 0 0 0 4 0 0 0 2 0 0 0

I n [ 1 5 ] : = n = 1 0 1 * 1 0 7 ; L i s t , P l o t l T a b l e [ { x r M o d [ x ^ 3 r n l ] , { x , 0 , n - l } I I

L 0 0 0 0

8 0 0 0

6 0 0 0 4 0 0 0 2 0 0 0

Lep-2

slide-4
SLIDE 4

R 5 F

crY fi ar".

Dc

W h

)*t i+ urorF?

di t ("J(p<)'t6'r),)

eA.= l+ K'(g'r)'(X't) M,= M"d = Mt+ F(?-t)(fi-(l

Mr= M. (q(?-r))

  • tt-'1.=

M' ., trt,(Mtt"")r(?'t) = :. rt' Z p (nol rr )

?,X (r'>u< (r;v"I;

\=(x (.,bt'z

e 'rd.1ra"*'b cftltXal F*b':

A , ud=t(n'Ace''t'cg-o) l'r;v"'f*

6l.r'l?/.,o-^ Z 4= ,t4e w*l'\ 1 e'lim V."rtlf tto>r-: d= ed Yu'o't' J fill'= M

r.""{

,ffi''i'J';

,ey"Y

M h^,4Vft]

M tvudX ;,f

,:,L,t:.ttf l'eyl,t idbv $:'x,t*N

zu'{