1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J...

7
p-----------------------------. ---- J J.:~~.):J ° S Y S b. 0 S x Sa»=-- <,:>-l. ~.):J 1.)..rJ~ •. bL..... . \ J.:.)} "'::"""'..l,> o..l.!. o:Jb I..Sjr ~Ir- 4 I.) ,:;I ";,,I,p.- U xx + U yy +1/ r U = 0 U = ° »r I..SJJ 1. 00 wr sinxw tt f 'f dw = ~e-x cosx, o w + ' x> c, f(x) ={ x, w- x, -f < x < f f < x < rr'" ..l.J e: ~ .c..!.' 1 • ..r.:-": .• J Y.) \ \ \ w f \ +-+-+-+.,,=-- rf Of yf 0.7" .J.:.)JI "'::"""'..l,> ~ I.) "-!..)} 1..S.r' il N .J?~ 1..S\.k;. J..;5 J>- I.) .r.j ~I';'::J •. bL..... . 'f y" + Oy' + = r(x) r(x) = x + w, r(x + "w) = r(x). .fl .0 f( ) = { \, Ixl <~ () ={\- [z], [z] <\ x 0 J,lA:, L... 9 x 0 J,lA:, L... ,.r. ,.r. .J..;5 ,,:--,t.-. I.) F{g(x)} "-!..)} J:~ Jjl d"O:' ..... 1 4 J 9 = f * f ~:J .:;L..!.:. ·~4..;.sY' [email protected] :~I ~}.:J

Transcript of 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J...

Page 1: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

p-----------------------------. ----

J J.:~~.):J ° S Y S b . 0 S x Sa»=-- <,:>-l. ~.):J 1.)..rJ~ •.bL..... . \J.:.)} "'::"""'..l,> o..l.!. o:Jb I..Sjr ~Ir- 4 I.) ,:;I ";,,I,p.-

Uxx +Uyy +1/ r U = 0

U = ° »r I..SJJ

1.00 wr sinxw ttf 'f dw = ~e-x cosx,

o w + 'x> c ,

f(x) = { x,w - x,

-f < x < ff < x < rr'"

..l.J e: ~ .c..!.' 1• ..r.:-": .• J Y.)

\ \ \ wf\+-+-+-+.,,=--rf Of yf 0.7"

.J.:.)JI "'::"""'..l,> ~ I.) "-!..)} 1..S.r' il N .J?~ 1..S\.k;.

J..;5 J>- I.).r.j ~I';'::J •.bL..... . 'f

y" + Oy' + r» = r(x)

r(x) = x + w, r(x + "w) = r(x)..fl .0

f( ) = { \, Ixl < ~ ( ) = { \ - [z], [z] < \x 0 J,lA:, L... 9 x 0 J,lA:, L...,.r. ,.r.

.J..;5 ,,:--,t.-. I.) F{g(x)} "-!..)} J:~ Jjl d"O:'.....14 J 9 = f * f ~:J .:;L..!.:.

·~4..;.sY'[email protected] :~I

~}.:J

Page 2: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

k0(~ '>l =- F G-

.pLIt '1"j -:::. F 6--

1/ F ~ 1J 2. F (,- -=- oFG +- &- ...r

/.1

F , ( ~~-+vt6-) 2-- - _ It-l- c

(j) FC/) - 1+ c., k~-I ~$ltl1k~

@ G- (i) - C. c,.." J')'1 + [) S I~ t> ~

I">(>6 I I / 'Iif ~...L-/ /-" /

-- ---vt(o/'j)-;' <J -:::=-) FI.)o 0 }

F("')~IJ 0V( ("'" / ;) -::.. €I ;=')

lA ("I\/o)-=- 0 -::::--~ G-{(I): ~ ]@lit (XI L:,) -_ \l ~ &- (I?) - 0

&-:/.:: Q

g S \"1 U Q\ ":.. 0 :: ~a ~,

K 0\ ~ W1 if -=-.IJ tc ;:.~""" 0\

WI ?-- '/ 2-/~

Page 3: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

f G=1J D-:bf) ~,.....'Pb :::- 0 -==~

o~,( ~~~ )

b

F.:, ( x ) G", ('?) - s ., ( "":"') "'" ( ~:')~/J.) (jI~ (~) /')

OC M -

2 L Cr>t~ S •• ( "";.." ) S1" (~: "l_ )~~I"-;"I

I01- if'- -z.

d; fr"--:

-L

Page 4: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

Q~) b =-VI

\ J /'I

c-V ,/Q.) Jlj I~~ o !>:. ..

Page 5: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

-,',' c:.::::::- f (J Y (, ">L) -:...- ')t 7- '}f

~, )] S I ~ ~ 'X - -of- ~-

IJ I'1 -+-?'1 + ~ j =

iJ -7 J (~) -:::: A '" ~ VI ~ t- e, ~\~"ft ')'l

V\

7~ v.. I l 'It.' c. -)'\ A- VI 5 I' 't\ Y! 1(.. "T V\ ~ Y"I ~ ~ 1<.U'(l -

( 6 A ~ ~ S- ~ 8~ _ ,}A",) Cr> ~ x. + {.6 IS", - ., ..,1\., ->1< 12.,)5;~~?(

\1+\~ (-I) ~,\-" ( &.1 ')It )

"'"--

Page 6: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

JJ,I"

~r.

~r-

X~

~

'1J

*\

~'-<

~

~"

"'\:)

x~

J,J

1~

"--'f\

--x.

<;»

~<

»~

~

,.-...",.

x<s

'-J

'-S

xN

"-J\I

~"

<,

:s~

~

II

II.....

•"

\

'-'II

('J

:s.

~\~l

x;;.

::;

~tJ

~

r:>\)

r-~

(:)

\'"

\J"

"--'

'"'

('I-t

\P

)(r

~

~:i

--~&

1-l>

'-~

~

,"

~'r.

IJ

><.'---.

~~~

\~

~-+

.~

4-

~\~0

IV.,J

C)

,-

rV)(

~+

~r-

:s

r»;

,.,J-

~t

r-:~

.,.U

)~

e-,

\f):s:

S

-~

V1s

sD,..

N'""

r.l-

fl-.

~'---

-'I

,~

~r-;

~-+

rv.s

s~~

~'""

')f'v

'--"

,)II

~~.

.s-+

"--'t'

r->

'I--'-

-\~

-s~

~"-

,><

f0C-

I~

'"~

oS

~+

rv~

x-\

CS'

--

-..,)~

,'-'"

4-+

\3

,t

1\

s•••

\,

e-~

'\,

~

;iL-

---"

.)

\it

r')~

lf'

,r

~,

,.....

~\1

I',

~

. ~ru

-

~~

l~

J

t..s

'"'

t

"->

b

-.....>

""S

XI:::l

0-

\-:II

Vf\

">(

VC

X

~\G:'

"x

1\

'"~,

,.........

,

~

1 \...

J .s

Page 7: 1. - Sahand University of Technologysci.sut.ac.ir/People/Courses/31/scan0002.pdf · p-----. ----J J.:~~.):J ° S Y S b . 0 S xSa»=---l.~.):J 1.)..rJ~ •.bL ..... . J.:.)}

yF r,,] -0- Frf*iJ= r;; firwd',w)

=- J2;(f (W))2-

(:::- -r;;,

-I,l e-1W1L

_ ~w/,,-}'----.~-2-I'<5\~(~)

_ r;:.- V F: w

c?.r' _-- __