physics rough draft

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 PHYSICS WORKING MODEL ROUGH DRAFT  ROBOTIC HAND Reetu Raj, Akila Sai Ma!a"a  #II$B

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Page 1: Physics Rough Draft

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PHYSICS WORKING MODELROUGH DRAFT

  ROBOTIC HAND

Reetu Raj, Akila Sai Ma!a"a  #II$B

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  CONTENTA robotic arm i" a t%&e '( )e*+a!i*al a), u"uall%&'-a))a.le, /it+ "i)ila (u!*ti'!" t' a +u)a! a)0 t+ea) )a% .e t+e "u) t'tal '( t+e )e*+a!i") ' )a% .e &at'( a )'e *')&le1 '.'t2 T+e li!k" '( "u*+ a )a!i&ulat' ae

*'!!e*te3 .% j'i!t" all'/i!- eit+e 'tati'!al )'ti'! 'ta!"lati'!al 4li!ea5 3i"&la*e)e!t2 T+e li!k" '( t+e)a!i&ulat' *a! .e *'!"i3ee3 t' (') a ki!e)ati* *+ai!2

 T+e te)i!u" '( t+e ki!e)ati* *+ai! '( t+e )a!i&ulat' i"*alle3 t+e e!3 e6e*t' a!3 it i" a!al'-'u" t' t+e+u)a! +a!32

 T+e e!3 e6e*t', ' '.'ti* +a!3, *a! .e 3e"i-!e3 t'

&e(') a!% 3e"ie3 ta"k "u*+ a" /el3i!-, -i&&i!-, "&i!!i!-et*2, 3e&e!3i!- '! t+e a&&li*ati'!2 F' e1a)&le '.'t a)"i! aut')'ti7e a""e).l% li!e" &e(') a 7aiet% '( ta"k" "u*+a" /el3i!- a!3 &at" 'tati'! a!3 &la*e)e!t 3ui!-a""e).l%2 I! "')e *i*u)"ta!*e", *l'"e e)ulati'! '( t+e+u)a! +a!3 i" 3e"ie3, a" i! '.'t" 3e"i-!e3 t'*'!3u*t .'). 3i"a)a)e!t a!3 3i"&'"al

 T+i" '.'t i" a )e*+a!i*al a), a a) )a!i&ulate 3e"i-!e3

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t' &e(') )a!% 3i6ee!*e ta"k" a!3 *a&a.le t' e&eate37aia.le &'-a))e"2

 T' &e(') it" a""i-!e3 ta"k", t+e '.'t )'7e" &at", '.je*t", t''l"a!3 "&e*ial 3e7i*e" .% )ea!" '( &'-a))e3 )'ti'! a!3 &'i!t"2

 T+e '.'ti* a) &e(')" )'ti'!" i! "&a*e2 It8" (u!*ti'! i" t'ta!"(e '.je*t" ' t'll (') '!e &'i!t t' a!'t+e &'i!t, a" i!"tu*te3.% t+e *'!t'lle2

  ABSTRACT• Purpose: R'.'ti* e!3$e6e*t'" &'7i3e t+e li!k .et/ee!

)a*+i!e" a!3 t+e e!7i'!)e!t2 T+e e7'luti'! '( e!3$e6e*t'3e"i-! +a" ta3e3 '6 .et/ee! "i)&li"ti* "i!-le$ta"ke" a!3+i-+l% *')&le1 )ulti$(u!*ti'! -i&&e"2 F' (utue "&a*e'&eati'!", lau!*+ &a%l'a3 /ei-+t a!3 t+e /i3e a!-e '( 3e"ie3ta"k" !e*e""itate a +i-+l% 3e1te'u" 3e"i-! /it+ "te!-t+ a!3)a!i&ulati'! *a&a.ilitie" )at*+i!- t+'"e '( t+e "uite3 a"t'!autu"i!- E9A t''l"2

• Procedure Used: A !e/l% &'&'"e3 3i7e )e*+a!i") ('

'.'t j'i!t" .a"e3 '! a &i!*i&le '( t/i"te3 "ti!-" /a" 3e7el'&e3a!3 i" u"e3 t' &'/e t+e j'i!t" '( a :7e :!-ee3 '.'ti* +a!32

 T+e &'&'"e3 )e*+a!i") i" !a)e3 T/i"t Di7e .e*au"e it-e!eate" a &ulli!- ('*e .% t/i"ti!- t/' ;e1i.le "ti!-" '! ea*+'t+e2 P'&etie" '( t+e )e*+a!i") ae &e"e!te3 i! t+e &a&ea!3 a&&li*ati'! t' a :7e$:!-ee3 '.'ti* +a!3 i" 3e)'!"tate32

L'/$*'"t, li-+t/ei-+t, a!3 )u"*le$like '&eati'! ae t+e )ai!*+aa*tei"ti*" '( t+e &'&'"e3 3i7e a!3 i" t+ee('e .e!e:*ial i!&'3u*ti'! '( a li-+t/ei-+t, +u)a! "i<e '.'ti* +a!3 t+at *a! .eu"e3 i! '.'ti*" a" /ell a" i! &'"t+eti*"2 A &'t't%&e '( :7e:!-ee3 '.'ti* +a!3 i" &e"e!te3, a!3 it" )e*+a!i*al a!3*'!t'l "%"te)" ae e1&lai!e32

• Result: T+e e"ult t' t+i" &'je*t /a" t+at '( a &'&el%

/'ki!- '.'ti* a) :tte3 /it+ =$"e7' )'t'" a!3 a 3ie*ti'!

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-l'7e :tte3 /it+ = ;e1 "e!"'" a!3 t/' Lill% &a3 A3ui!'2

• Conclusion: T+e "' )a3e R'.'ti* Ha!3 i" a '.'ti*

)a*+i!e, /+i*+ &'7i3e" li!k .et/ee! )a*+i!e" a!3 t+ee!7i'!)e!t2 T+i" &'je*t, t+'u-+ i" !'t a" "i)&le, /a" ea"%*'!"i3ei!- /e u"e3 t+e i-+t &'-a) t' u&l'a3 a!3 t+e i-+t&at (' t+e &'&e (u!*ti'!i!- '( t+e &'je*t2

ACKNOWLEDGEMENTSWe are extremely fortunate to have so many people that helped me along the way.

We are deeply grateful for everyone who helped me make it to the end.

My first thanks go to the faculty, staff, and students at our school. Not only

have you helped and supported us over the past few months, you’ve also

made it an amazing environment to work in. You inspire creativity and

persistence and have been the biggest influence on me at school since Istarted my education there.

We /'ul3 :"tl% like t' t+a!k )% P+%"i*" Fa*ult% ('&'7i3i!- u" /it+ t+i" '&&'tu!it% '( )aki!- a /'ki!-)'3el2 Wit+'ut t+ei i!ti)ati'! a!3 "u&&'t t+i" &'je*t/'ul3 +a7e !'t .ee! a! ea"% *ake/alk2 Se*'!3l%, I /'ul3like t' "+'/ )% -atitu3e t'/a3" % &ae!t" (' .ei!- t+ee

(' u" all t+'u-+ t+i" /+ile2La"tl%, We /'ul3 like t' t+a!k 'u *'$&at!e" i! t+i" &'je*t(' .ei!- t+ee (' all t+ee '( u" e"&e*ti7el%2 Wit+ 'ut t+i"-'u& t+i" &'je*t /'ul3 .e 7e% t+'u-+ a!3 *')&li*ati!-2

 T+a!k %'u '!e a!3 all (' .ei!- a &at '( t+i" /'!3e(ul j'u!e% '( 'u"2

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  TABLE OF CONTENTS• A."ta*t>>>>>>>>>>>>>>>>>>>>

>>>>>>>>>>222I

• A*k!'/le3-e)e!t">>>>>>>>>>>>>>>

>>>>>>>2222222II• I!t'3u*ti'!>>>>>>>>>>>>>>>>>>>

>>>>>>>>22?@@2Ba*k-'u!3 '( Stu3%2State)e!t '( P'.le)2Ge!eal S&e*ial O.je*ti7e2

• Si-!i:*a!*e>>>>>>>>>>>>>>>>>>>

>>>>>>>>22?@2 S*'&e Li)itati'!2 Re7ie/ Relate3 Liteatue

• Met+'3'l'-%>>>>>>>>>>>>>>>>>>>>>>>>>>>>2?

@2 Mateial"2 Ge!eal P'*e3ue

• Re"ult" a!3

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Di"*u""i'!>>>>>>>>>>>>>>>>>>>>>>2?

@2 Fi!3i!-"

2 A!al%"i" '( Data2 C'!*lu"i'!

• Re*'))e!3ati'!">>>>>>>>>>>>>>>>>>>>>>>>>2?

• Bi.li'-a&+%>>>>>>>>>>>>>>>>>>>>>>>>>>>>2?

  INTRODUCTION• Background Of Study:

R'.'t" +a7e t+e &'te!tial t' &la% a la-e 'le i! 'u /'l32 T+e%ae *ue!tl% /i3el% u"e3 i! i!3u"tial a&&li*ati'!" (' la.'$i!te!"i7e '&eati'!" t+at euie a +i-+ le7el '( &e*i"i'! a!3e&etiti'!2 I! a33iti'!, '.'t" *a! .e ('u!3 i! t+e e!tetai!)e!ti!3u"t% i! t+e (') '( t'%" a!3 a!i)at'!i*"2

 T+e (u!*ti'! '( '.'t" i! "'*iet% i" *'!"ta!tl% e7'l7i!- a!3*ue!t e"ea*+ e!3ea7'" t' .i!- t+e) (ut+e i!t' t+e eal)'( 3')e"ti* a""i"ta!*e, )e3i*i!e, )ilita%, "ea*+ a!3 e"*ue,a!3 e1&l'ati'!2 I! )a!% '( t+e"e a&&li*ati'!", t+e '.'t )u"t

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&e(') '!l% '!e "&e*i:* ta"k a!3 t+u" *a! .e 3e"i-!e3 t'+a!3le a "i!-le '&eati'!2H'/e7e, a" t+e &'te!tial u"e (' '.'t" -'/", "' 3'e" t+ei!ee3 t' i!tea*t /it+ '.je*t" i! t+ei e!7i'!)e!t T+e 3e"i-!'( e!3 e6e*t'" t+at *a! &i*k u& a 7aiet% '( '.je*t" a!3 utili<et+e) a" t''l" i" a "i-!i:*a!t *+alle!-e i! '.'t 3e7el'&)e!t2

• Statement of Objective: T+e O.je*ti7e '( t+e Gl'7e *'!t'lle3$ R'.'ti* +a!3 i" t+at t')ake t+i" /'ki!- )'3el a!3 &'7e t+at )a!% 3i6ee!t ta"k"*a! .e 3'!e t+'u-+ '!e )'3el .% u"i!- 7aia.le &'-a)i!-2

Ou &i)a% '.je*ti7e i" t' )ake t+e R'.'ti* a), +a7i!- :7e"e7')'t'" a 32* )'t' t' i!te(a*e" /it+ t+e I!$3e7el'&)e!t '( a Fle1 C'!t'lle3 Ba"e3 R'.'ti* A)2

  SIGNIFICANCE•

Scope:R'.'ti*" e!-i!ee" *a! 3e"i-! '.'t", /+i*+ *a! 3' a /+'le l't'( t+i!-", a!-i!- (') 3eli*ate a!3 &e*i"i'! ta"k" "u*+ a":tti!- ")all &at" '( /at*+e" a!3 t' t+e +a<a3'u" ta"k" "u*+ a"(uelli!- t+e *+a).e" '( !u*lea ea*t'"2 R'.'t" ae t+'u-+t t'.e "u&e$)a*+i!e" .ut t+e% +a7e li)itati'!"2

De"&ite t+e -eat a37a!*e)e!t" i! t+e :el3 '( '.'ti*" a!3

*'!ti!u'u" e6't" t' )ake '.'t" )'e a!3 )'e "'&+i"ti*ate3t' )at*+ t+e *a&a.ilitie" '( +u)a! .ei!-" a!3 e7e! "u&a""t+e), "till, (') a 7e% "*ie!ti:* a!3 l'-i*al &'i!t '( 7ie/, '.'t"3e7el'&e3 u& till t+e"e 3a%" ae !' /a% *l'"e t' +u)a! .ei!-"2

Ba"i* '.'ti*" /e 3e"i-! )a*+i!e" t' 3' t+e "&e*i:e3 ta"k"a!3 i! t+e a37a!*e3 7e"i'! '( it '.'t" ae 3e"i-!e3 t' .ea3a&ti7e, t+at i", e"&'!3 a**'3i!- t' t+e *+a!-i!-e!7i'!)e!t a!3 e7e! aut'!')'u", t+at i", *a&a.le t'

)ake 3e*i"i'!" '! t+ei '/!2 W+ile 3e"i-!i!- a '.'t t+e

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)'"t i)&'ta!t t+i!- t' .e take! i! *'!"i3eati'! i",'.7i'u"l%, t+e (u!*ti'! t' .e &e(')e32 Hee *')e" i!t'&la% t+e 3i"*u""i'! a.'ut t+e "*'&e '( t+e '.'t a!3'.'ti*"2 R'.'t" +a7e .a"i* le7el" '( *')&le1it% a!3 ea*+le7el +a" it" "*'&e (' &e(')i!- t+e eui"ite (u!*ti'!2

• Limitations:

Alt+'u-+ '.'t" +a7e !'t 3e7el'&e3 t' t+e "ta-e /+eet+e% &'"e a!% t+eat ' 3a!-e t' "'*iet%, (ea" a!3*'!*e!" a.'ut '.'t" +a7e .ee! e&eate3l% e1&e""e32

 T+e &i!*i&al t+e)e i" t+e '.'t"8 i!telli-e!*e a!3 a.ilit% t'a*t *'ul3 e1*ee3 t+at '( +u)a!", t+at t+e% *'ul3 3e7el'& a*'!"*ie!*e a!3 a )'ti7ati'! t' take '7e ' 3e"t'% t+e+u)a! a*e2

Cue!tl%, )ali*i'u" &'-a))i!- ' u!"a(e u"e '( '.'t")a% .e t+e .i--e"t 3a!-e2 Alt+'u-+ i!3u"tial '.'t" )a%.e ")alle a!3 le"" &'/e(ul t+a! 't+e i!3u"tial)a*+i!e", t+e% ae ju"t a" *a&a.le '( i!;i*ti!- "e7ee i!ju%'! +u)a!"2 H'/e7e, "i!*e a '.'t *a! .e &'-a))e3 t')'7e i! 3i6ee!t taje*t'ie" 3e&e!3i!- '! it" ta"k, it")'7e)e!t *a! .e u!&e3i*ta.le (' a &e"'! "ta!3i!- i! it"ea*+2 T+ee('e, )'"t i!3u"tial '.'t" '&eate i!"i3e a"e*uit% (e!*e, /+i*+ "e&aate" t+e) (') +u)a! /'ke"2

Hu)a!" ae at a *iti*al a!3 "i-!i:*a!t ju!*tue /+ee

+u)a!" +a7e all'/e3 '.'t", ")at )i""ile", a!3aut'!')'u" .')." eui&&e3 /it+ ati:*ial &e*e&ti'! t')ake 3e*i"i'!" a.'ut killi!- u"2 T+i" e&e"e!t" a!i)&'ta!t a!3 3a!-e'u" te!3 /+ee +u)a!" aeta!"(ei!- )'e '( 'u *'-!iti7e "tu*tue" i!t' 'u)a*+i!e"2 E7e! /it+'ut )ali*i'u" &'-a))i!-, a '.'t,e"&e*iall% a (utue )'3el )'7i!- (eel% i! a +u)a!e!7i'!)e!t, i" &'te!tiall% 3a!-e'u" .e*au"e '( it" la-e

)'7i!- )a""e", &'/e(ul a*tuat'" a!3 u!&e3i*ta.l%

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*')&le1 .e+a7i'2 A '.'t (alli!- '! "')e'!e ' ju"t"te&&i!- '! +i" (''t .% )i"take *'ul3 *au"e )u*+ )'e3a)a-e t' t+e 7i*ti) t+a! a +u)a! .ei!- '( t+e "a)e "i<e2

 T+ee ae, t+e'eti*all%, "')e LAWS OF ROBOTICS2 T+e La/" '( R'.'ti*" /ee 3e7el'&e3 .% a ")all -'u& '("*ie!ti"t" /+' .elie7e t+at '.'ti*" i" t+e /a7e '( t+e(utue2

 T+e :"t la/, e(ee3 t' a" la/ <e', i" t+at a '.'t )a% !'ti!jue +u)a!it%, ', t+'u-+ i!a*ti'!, all'/ +u)a!it% t'*')e t' +a)2

 T+e "e*'!3 la/ "tate" t+at a '.'t )a% !'t i!jue a +u)a!.ei!-, ', t+'u-+ i!a*ti'!, all'/ a +u)a! .ei!- t' *')e t'+a), u!le"" t+i" /'ul3 7i'late a +i-+e '3e la/2 T+i" la//a" *eate3 "' t+at )a!ki!3 /'ul3 "eek !'t t' *eate'.'t" t+at /'ul3 +a) &e'&le2

 T+e t+i3 la/ i" t+at a '.'t )u"t '.e% '3e" -i7e! it .%

+u)a! .ei!-", e1*e&t /+ee "u*+ '3e" /'ul3 *'!;i*t/it+ a +i-+e '3e la/2

A!3 :!all% t+e :!al la/ i" t+at a '.'t )u"t &'te*t it" '/!e1i"te!*e a" l'!- a" "u*+ &'te*ti'! 3'e" !'t *'!;i*t /it+ a+i-+e '3e la/2 H'/ e7e )a!% &e'&le 3'!Jt k!'/ t+att+e"e la/" eall% e1i"t2 Al)'"t all t+e li)itati'!" '( '.'ti*"*'ul3 .e '7e*')e .% ('ll'/i!- t+e"e la/" '( '.'ti*"2

• Revie of Related Literature T+e )'"t 3e7el'&e3 '.'t i! &a*ti*al u"e t'3a% i" t+e '.'ti*a) a!3 it i" "ee! i! a&&li*ati'!" t+'u-+'ut t+e /'l32 We u"e'.'ti* a)" t' *a% 'ut 3a!-e'u" /'k "u*+ a" /+e!3eali!- /it+ +a<a3'u" )ateial"2 We u"e '.'ti* a)" t' *a%

'ut /'k i! 'ute "&a*e /+ee )a! *a!!'t "u7i7e a!3 /e u"e'.'ti* a)" t' 3' /'k i! t+e )e3i*al :el3 "u*+ a" *'!3u*ti!-

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e1&ei)e!t" /it+'ut e1&'"i!- t+e e"ea*+2 S')e '( t+e )'"ta37a!*e3 '.'ti* a)" +a7e "u*+ a)e!itie" a" a 'tati!- .a"e,&i7'ti!- "+'ul3e, &i7'ti!- el.'/, 'tati!- /i"t a!3 -i&&e:!-e"2 All '( t+e"e a)e!itie" all'/ t+e '.'ti* a) t' 3' /'kt+at *l'"el% e"e).le" /+at a )a! *a! 3' '!l% /it+'ut t+ei"k2

  METHODOLOGY• !aterials Re"uired:• A! ela"ti* -l'7e0

Lil%Pa3 A3ui!' .'a3 4t+ee ae 3i6ee!t 7e"i'!", /+i*+u"uall% '!l% +a7e a!al'- i!&ut", "' &a% atte!ti'! a!3 .u%t+e '!e i! t+e i)a-e5 it /'k" e1a*tl% like t+e *la""i* A3ui!'UNO, "' %'u *a! u"e e7e! a! A3ui!' Na!', .ut &a% atte!ti'!t' t+e 7'lta-e !ee3e30

#Bee )'3ule (' t+e a3i' *'))u!i*ati'!0

S+iel3 t' *'!!e*t t+e #.ee )'3ule0

= Fle1 "e!"'"0

= e"i"t'" K0

.atte% &a*k /it+ 1@2= 9 .atteie" 4Lil%&a3 *a! .e &'/ee3(') 2 t' =2= 9, "' 2= 9 it8" 'k50

Lil%Pa3 FTDI a3a&te t' *'!!e*t t+e Lil%Pa3 .'a3 t' t+e PCa!3 l'a3 &'-a)" /it+ t+e A3ui!' IDE 4uite '&ti'!al,.e*au"e %'u *a! u"e al"' t+e A3ui!' UNO .'a3 e)'7i!- t+eAT)e-a *+i&, .ut it8" ti*k% t' )ake t+i" ki!3 '( *'!!e*ti'!e7e% ti)e52

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 T+e )ateial" !ee3e3 (' t+e '.'ti* +a!3 ae a "teel "tu*tue (' t+e &al) '( t+e +a!3 a!3 /''3 (' t+e:!-e"0 A3ui!' UNO .'a30 #Bee )'3ule0 = "e7')'t'" =9 &'/ee3 a "e7')'t' "+iel3 (' A3ui!' UNO S+iel3 t' *'!!e*t t+e #Bee :"+i!- /ie"0 9 Batte%2

• #eneral Procedure

 T' )ake t+e *'!t'l -l'7e I "u--e"t :"t t' *+''"e t+ei-+t &'"iti'! '( t+e 3i6ee!t *')&'!e!t", t+e!*'!!e*t e7e%t+i!- /it+ t+e &'&e le!-t+ '( /ie2

 T' )ake a! a!al'- ea3 /it+ A3ui!' Lil%Pa3 %'u

!ee3 t' )ake a 7'lta-e 3i7i3e, "i!*e t+at ;e1"e!"'" 3'!8t /'k like &'te!ti')ete" 4t+e% +a7e'!l% *'!ta*t"52

S' ('ll'/i!- t+e "*+e)e, :"t "'l3e t+e = e"i"t' '!t+e Lil%Pa3 .'a3, '!e "i3e t' t+e = 3i6ee!t A!al'-&i!", t+e 't+e i! *'))'! t' t+e -'u!32 T+e! "'l3et+e ;e1 "e!"'", '!e "i3e t' t+e = 3i6ee!t A!al'-

&i!" a!3 t+e 't+e i! *'))'! t' t+e &'"iti7e2

 T+e! *'!!e*t t+e #Bee S+iel3 t/' /ie" (' t+e&'/e, t+e 'te t/' (' t+e "i-!al2 S'l3e t+e T1 &i! t't+e R1 a!3 7i*e 7e"a2

F' t+e *i*uit, %'u *a! *+''"e t' u"e a "e7')'t' "+iel3(' A3ui!' UNO 4"ea*+ '! eBa% ' A)a<'!5 /it+ a #Bee

"+iel3, ' )ake a *u"t') "+iel3 4I8ll )ake '!e a" "''! a"

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&'""i.le5 /it+ t+e #Bee M'3ule a!3 t+e &i!" (' t+e"e7')'t'", a!3 &'/e t+e A3ui!' UNO .% it" ja*k &'t2

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KO+) e"i"t', %'u *a! "ee t+e /ii!- i! t+e &i*tue"2

S' /e u"e3 /+at I +a3 alea3% .'u-+t .e('e, .ut %'u *a!u"e e7e%t+i!- t+at let %'u *'!t'l t+e "e7')'t'" a!3 t+e#Bee2

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I2T2S2T2 2 F2 Ke!!e3%, *l2 =QA EA

 T+a!k" t' Elia" De La)&e (' "u--e"ti'!" t' i)&'7e t+i" &'-a)

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Se7' Se7'T+u)., Se7'I!3e1, 9ie!e a""e-!at' u! !')e a*ia"*u! "e7')'t'e2

Se7'Mi33le, Se7'A!!ula, Se7'Pi!k%0

.%te "tatPa*ka-e0 9aia.le t+at /ill *'!tai! t+e *+aa*te '( "tat&a*ka-e "et i! t+e Gl'7eT# "ket*+,

i!t A!-T+u). V ?0 9aia.le" /it+ t+e 7alue" (' t+e "e7')'t'"4.et/ee! ? a!3 @?5

i!t A!-I!3e1 V ?0

i!t A!-Mi33le V ?0

i!t A!-A!!ula V ?0

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i!t A!-Pi!k% V ?0

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X  Seial2.e-i!4??50 Seial *'))u!i*ati'! i" a*ti7ate3 at ??.au3"2

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  "tatPa*ka-e V Seial2ea3450 T+e :"t 7alue /ill .e , t+e

't+e ae a""i-!e3 t' t+e :!-e

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  A!-T+u). V Seial2ea3450

A!-I!3e1 V Seial2ea3450

A!-Mi33le V Seial2ea3450  A!-A!!ula V Seial2ea3450

  A!-Pi!k% V Seial2ea3450

 

i(4"tatPa*ka-e VV 885X 9ei(%i!- t+at t+e :"t 7alue i"

  i(4A!-T+u).V==5 S')eti)e" t+e i!*')i!- 7alue -'e" t'==, I *'ul3!8t 3i"*'7e %et t+e ea"'!, "' I "i)&l% e1*lu3e3 it /+e! it+a&&e!"2 Y'u *a! e)'7e t+i" li!e (' e7e% :!-e i( %'u 3'!8t +a7et+i" ki!3 '( &'.le)

  Se7'T+u).2/ite4A!-T+u).50 T+e "e7')'t'" 'tate" '( t+ea""i-!e3 3e-ee"

  i(4A!-I!3e1V==5

  Se7'I!3e12/ite4A!-I!3e150

  i(4A!-Mi33leV==5

  Se7'Mi33le2/ite4A!-Mi33le50

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  Se7'A!!ula2/ite4A!-A!!ula50

  i(4A!-Pi!k%V==5

  Se7'Pi!k%2/ite4A!-Pi!k%50

 

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 RESULTS DISCUSIIONS

%indings:

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• $nalysis of &ata:

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• Conclusions:R'.'ti*" i" a te*+!'l'-% /it+ a (utue, a!3 i" a te*+!'l'-%(' t+e (utue2 I( &e"e!t te!3" *'!ti!ue, a!3 i( "')e '( t+e

la.'at'% e"ea*+ *ue!tl% u!3e/a% i" ulti)atel%*'!7ete3 i!t' &a*ti*a.le te*+!'l'-%, '.'t" '( (utue /ill.e )'.ile u!it" /it+ '!e ' )'e a)", )ulti&le "e!"'*a&a.ilitie" a!3 t+e *')&utati'!al a!3 3ata &'*e""i!-&'/e '( t'3a%J" )ai!(a)e *')&ute"2 T+e% /ill .e a.le t'e"&'!3 t' +u)a! 7'i*e *'))a!32 T+e% /ill .e a.le t'e*ei7e -e!eal i!"tu*ti'!" a!3 /ill ta!"late t+'"ei!"tu*ti'!" u"i!- ati:*ial i!telli-e!*e i!t' a "&e*i:* "et '(

a*ti'!" euie3 t' *a% t+e) 'ut2 I! "+'t, (utue '.'t"/ill +a7e )a!% '( t+e atti.ute" '( +u)a! .ei!-"2Getti!- (') t+e &e"e!t t' t+e (utue /ill euie )u*+/'k i! )e*+a!i*al e!-i!eei!-, *')&ute "*ie!*e,ele*ti*al e!-i!eei!-, i!3u"tial e!-i!eei!-, )ateial"te*+!'l'-%, )a!u(a*tui!- "%"te)" e!-i!eei!-, a!3 t+e"'*ial "*ie!*e"2 A *').i!ati'! '( e*'!')i* a!3 te*+!i*al(a*t'" /ill 3ete)i!e +'/ t+e (utue a&&li*ati'!" /ill .e

i!t'3u*e32 Alt+'u-+ t+ee i" "i-!i:*a!t 3e7el'&)e!t i! t+e"*ie!*e '( '.'t", "till it" u"a-e i" li)ite3 3ue t' +i-+ *'"t'( &'3u*ti'!, le"" a7aila.ilit% '( e"'u*e"2 I( /e *a!'7e*')e t+e"e li)itati'!", )'e .e!e:t" *a! .e -ai!e3(') '.'ti*"2

  BIBLIOGRAPHY• +tt&)e*+"te"2.l'-"&'t2i!?@@?'.'ti*"$(utue$a&&li*ati'!"$i!2+t)l

• +tt&///2a*a3e)ia2e3u====R'.'ti*ZA)ZFi!alZYeaZP'je*tZRe&'t

• +tt&///2i!"tu*ta.le"2*')i3Wiele""$C'!t'lle3$

R'.'ti*$Ha!3ALLSTEPS

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• +tt&///2/iki&e3ia2*')