ESTP Exercice BA TP2

Guignard

Informations

• Publié par: henricoco
• Nombre de lectures: 1 067
• Langue: Français

Extrait

"760%.),(-)5"&(-'&-),&-8,).,)&6),- ).0'?,9@"..%5%-'-%"&( A.,?%"&)/)#%B-8'CD, 1**"8-)-8'&5='&-)(68)'776%!"#$%&'%("&)*"&+'#,&-'.,)123 ..." />

"#$%&'(!)#*!+!,--.+//-.012134$##34$ ! !!!!!!!5 67689:96;! 23!6<#=.>#!?#!.'@-$#!&%'%-A-&B@# !"#$%&'(%)"*$+'(%#("($,$#-*'(%.'%//%012/%.'%)"+$3'%1456%7%'$%.'%2%7%.8'9$+'%,0'(5 % ,((":#3'(%;%*9'%.,&&'%<3$"9%.'%1/%:7%.83),#(('*+= >'(%)"*$+'(%+')"('9$%(*+%.'(%,))*#(%.'%?@%:7=% !"#$%&""'('")*+,-. • /&""0'1*12%*3'1*(4)0%$425*6 A%<3$"9%.'%:&,(('%>4/B?@ %C%D %F%4/%GH,%:E A%,+7,$*+'(%;%I,*$'%,.I3+'9:'%%J/@@J%.'%#$'%3&,($#-*'%D F%/@@%GH,KE • ,74%8'('")*6* A%:I,+L'(%)'+7,9'9$'(%9"9%:"7)+#(%&'%)"#.(%)+")+' %C%/4%%MNB7& A%:I,+L'(%.8'0)&"#$,$#"9%+3),+$#'%*9#D"+737'9$ %C%%O@%MNB7& • ,43923*:'1*1&33$9$)4)$&"1* γ " + γ ψ "!"#$%&'%("&)*"&+'#,&-'.,)/).0123 %C%%%154/P %Q%P %Q% ∑7,0 7#9 " 1 " @! !1 1 ψψ ">"7<#9,#("9%+,+'%;%&8RS! %C%%%%%%%%P %Q%P %Q%T %Q% %C%A% F%7,0 7#9 1 ∑ @@! ! ψ = @5O%%%%'$%%% ψ C @5/1 2U,))'&%.'(%.3D#9#$#"9(%)"*+%&'(%,:$#"9(%V,+#,<&'( %C ψ "A%&,%V,&'*+%9"7#9,&'%C%T % %A%&,%V,&'*+%.'%:"7<#9,#("9 %C % %A%&,%V,&'*+%#% #! ! ψ "D+3-*'9$' %C% 1! ! ψ "A%&,%%V,&'*+%-*,(#%)'+7,9'9$' %C% 2! ! ("#$% ) %F%154/%0%W/4Q@5//0152/02/XQ%15/0%O@F%21?5/%ENB7R. •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'9+"<,L'%9"7#9,&%%%%%C%: %F%: %Q%Δ$F2@QΔ$9"7 7#9 Δ$,V':% %F%1@%775%!* *9 *A*-B*((** *%&'()('*+(,+!-()./($)01"),2&++.!* )"&( ,+3*('4+()5)67)889 '9%D,#$%&8'9+"<,L'%('+,%.'%?@%77%)"*+%$'9#+%:"7)$'%.'(%:,.+'(%W%^[%1@X= C4%8'2%*:'*34*)4=3'*:'*9&(<%'11$&"* : 5 +: ≤ : ≤ @=21< F% %%%%,V': %C%< 5%F%@=2<%Q%@=11 %F15/1%7 %,V':%.'(%'9$+'%,0'( %'DD% 'DD # # @∑ (<< ! ; @ .'%27 _:#%C%< %F%<%F2015/1Q@5//%`%%2=@@%7%a%"9%+'$#'9$%2%7'DD 012334542678$9:;742<8$=2$8>5?;47>$8?;$<28$@:7>;4:?A$ R9%(#$*,$#"9%9"9%,::#.'9$'&&' %C γ γ%F%15/% )"*+%&'%<3$"9%%%'$%%%% F%151/ )"*+%&8,:#'+$ - D01$1)4"9'*')*:$48%4(('*:'*943923*<&2%*3'*=0)&" D = D B γ = %C%D F%4/B15/%F%2454%GH,:.%:. :E : /$48%4(('*:'*943923*6* :I"#0%'9$+'%.#,L+,77'%),+,<"&'A+':$,9L&'5%'$%.#,L+,77'%+':$,9L*&,#+'%(#7)&#D#35 % .3D#9#(%),+%C εA%.3<*$%.*%),&#'+%)&,($#-*' %C% F%@=2%b$2 εA%7,0#7*7%.*%),&#'+%)&,($#-*' %C% F%@=4/%b$&2 &"-,);)8'77"8-)='6-,68),**,5-%C,#,&-)5"#78%#D,)U)='6-,68)5"#78%#D,)7"68).,)+%'T8'##, ) 8,5-'&T6.'%8,)(%#7.%*%D, );) )V)I9Mλ E%(4)2%'1 >I"#0%)"((#<&'%'9$+'%.'*0%.#,L+,77'(%.'%:,&:*& %C A%*9%.#,L+,77'%3&,($"A)&,($#-*'%),+D,#$5%(,9(%#$,$#"9%.'%.3D"+7,$#"9 %a ≥ ε ≥ /bA%*9%.#,L+,77'%<#],#+'%)"*+%.'(%,+7,$*+'(%.'%:&,(('%J %C%E% 1=@O%'$% &= S,%.3D"+7,$#"9%ε .'(%,:#'+(%'($%#$3'%;%% ε% %F%@5c%ε %5%("#$%%)"*+%.'(%,:#'+(%.'%$K)' %(% *. *E A4/@@J%%ε %F%/%b%!%%εF%?/%1@*E ( 23230!9A>M@>!?#%!AM&#$%!?#!4>#<&'(!%'@%!L@NOP0O ! LI= d9%*$#&#('%&'%.#,L+,77'%+':$,9L*&,#+'%(#7)&#D#3%)"*+%&'%<3$"9%'$%&'%.#,L+,77' % <#],#+'%)"*+%&'(%,:#'+(= S' T,)KNLe3$'+7#9"9(%&'%)#V"$%)"*+%:"99,f$+'%&8,&&"9L'7'9$%.'(%,:#'+( ^,*$'*+%*$#&'%'($#73'%;%.%F%151%7 S,+L'*+%%60/).').%#%-,)D.'(-%>6,)* [O9)3&,)+,6?%X#,)+8"%-,)(67D8%,68,) 7'(('&-)7'8)+,6?)7"%&-(;)2,)78,#%,8),(-).,)7"%&-)+D*%&%)7'8).0'--,%&-,)+,).').%#%-,)D.'(-%>6,)* [O)+,).' ) 78,#%X8,)+8"%-,),-).,)+,6?%X#,)7"%&-)5"88,(7"&+)/).')C'.,68)#'?%#6#)O)* [OUγ()"6)O),(-).,)8'77"8-)* -U*[) HOVK@5122X151@>?/? S' T,)KNED#L%1%%C%.#,L+,77'%L393+,& :"-,);)!'()+6)+%'T8'##,)7.'(-%>6,)5.'((%>6,);) σ()V)*[+)VLPE)\7') !)4()V)KKE%W42%Q%/%F%4hX% 77=%dM :`a1;)\'?%#6#)b)+%'#X-8,)+,).0'8#'-68, )c).')+%#,&(%"&)#'?%#'.,)+,).0'T8DT'-)VFE##]E)##<),- ) FI)##)d)VPF)## e#($,9:'%),+%+,))"+$%;%&,%D#<+'%#9D3+#'*+' %C i+'A%1 %&#$%C%4@%Q%1@%Q%42B2%F%/6%77 *9%),-*'$%.'%.'*0%<,++'(%'($%:"9(#.3+3%:"77'%*9'%,+7,$*+'%'$%9"9%'9%L+"*)' % O=c=1%W?X i7'A%2 %&#$%C%/6%Q%42%F%OO%77 "9%."#$%.#()"('+%&'%&#$%(*)3+#'*+%;%*9%.#,7i$+'%,*%.'((*(%.*%L+"*)'%.'(%.'*0 % ,:#'+(= i7'A%4 %&#$%C%OO%Q42Q%42B2%F%146%77 ⇒%I,*$'*+%*$#&'%C%152/%j%@5146%F%15%12%7%≈%1=1@%7%→%IL 2323Q3!"R$&4&MA-&'(%!S!>TR-A-!>&=&-#!?#!%#$U&M# $ • S#7#$,$#"9%.'%&,%:"7)+'((#"9%.*%<3$"9 S8R>2%#9.#-*'%&'%)+#9:#)'%.'%&,%#$,$#"9%.'($#93'%;%3V#$'+%&'(%D#((*+,$#"9( % &"9L#$*.#9,&'(5%&,%7#:+"AD#((*+,$#"9%'$%&'%D&*,L'%'0:'((#D=%_&%+'9V"#'%,*0%,99'0'( % S' T,)KNN9,$#"9,&'(%)"*+%&,%D#0,$#"9%.'(%V,&'*+(%#$'(=%U'$'9"9(%&'(%V,&'*+(%:"9('#&&3'( % ),+%&8R>2%'$%V,&#.3'(%),+%&,%k+,9:'= H%J)I45%('&"9%&'%$,<&',*%h=1%.'%&8R>2 %C%@=4%77=% >'$$' % V,&'*+% (8,))&#-*' % '0)&#:#$'7'9$ % ,*0 % :"7<#9,#("9( % .' % :I,+L'% -*,(# % )'+7,9'9$'( = 0,)'1'2"3'4-$14)1"'3"')+ A%)"(#$#"9%.'%&8,0'%9'*$+' %C%4 = 1h56,V':%9F F %:,+%:I,+L'(%-*,(#%)'+7,9'9$'(5%'$%'9%)+'9,9$ %C ?$5(<< 4?@@@ R:7 ?:5'DD = ,V':%%ϕ F2%%W'9%D,#$%&,%V,&'*+%('+,#$%)&*(%)+3(%.'%25?%%25/X∝1 + ϕ W∝ 5$"X 8,#'8>6, );)(%)"&)'77.%>6,).')7"(%-%"&)*8'&e'%(,)+,()8,5"##'&+'-%"&(<)"&)+,C8'%-)8,-,&% 8) R:7 ?:5'DD = @2A, !)&)VKE"'DD#:#'9$%.83-*#V,&'9:' 1/5? )"(#$#"9%.'%&8,0'%9'*$+' K @5?@%7 #9'+$#'%D#((*+3' _D @511hO26@2%7? G"7'9$%("*(%:I,+L'(%-*,(#A)'+7,9'9$'( G( 2=6c/%GN=7%p :"9$+,#9$'%,+7,$*+'( 2?@%%G),σ%( %:"9$+,#9$'%<3$"9 c54%G),σ%: S,%:"9.#$#"9%D"+D,#$,#+'%.'%&8R>2%$,<&',*%h=2%N%)"*+%mF@54%77%."99'%16@%GH, S' T,)KNQ&,%:"9.#$#"9%2?@%g%16@%GH,%#7)"(3'%)"*+%.'(%^[42%98'($%."9:%),(%+'()':$3'= f1\4fg31);)(%)"&)'77.%>6,).')8XT.,)8'7%+,)+6)KIIIhO)+,).0'&&,?,)&'-%"&'.,)(68).,()7"&-(9 4--,&-%"&<)5,)5'.56.),(-)*'%-)C'.'$.,),&)5"#$%&'%("&)*8D>6,&-,)+'&().')7'8-%,)S`:a<)7.6( ) 7D&'.%('&-,) +"&5)("6()\VP2%%.3D#9#$%[ %),+%&,%(':$#"9%<%0%I:5'DD :5'D B:5'D %C%I,*$'*+%.'%&8,#+'%.'%<3$"9%$'9.*%,((":#3'%,*0%,+7,$*+'( %%.3D#9#'%:"77'%&,% )&*(%)'$#$'%.'(%V,&'*+(%(*#V,9$'(%C%25/W BA4X%5%WBA>XB4%5%BB2%WV"#+%k_P%2X I% F%2=/%0W12/@A11@dX%F%4h/%775%("#$%[ %F%4h/%0%//@%F%2@62/@%77Y=%:5'DD% :5'DD e8"q%&'%+,$#"%L3"73$+#-*'%.8,+7,$*+'( %C ρ %F%[%B%[:5'DD%F%112=/6B2@62%F%@5@/?)5'DD D#L%2%C.3D#9#$#"9%.'%&,%I,*$'*+%I: α,)V!(U!5# ,V': %C%G".*&'%.'%<3$"9%F%7".*&'%#9($,9$,93=% ? 2@@@@@-e8"q%&'%+,$#"%C%α%F% = = /5OO%$+i(%V"#(#9%.'%6%' a ?$8 4?@@@ U3(#($,9:'%;%&,%$+,:$#"9%.*%<3$"9%D %F%D %F%4=2%GH,%)"*+%*9%>4/=:$5'DD :$75 H"*+%σ%F%24O%GH,%"9%V,%."9:%$+"*V'+ %C( A%.3D"+7,$#"9%7"K'99'%.'%&8,:#'+%A%.3D"+7,$#"9%7"K'99'%.*%<3$"9 %C <$*5(<<σ − =1 W1 + α ρ X- ( ,5(<< ρε %A%ε %F%(7 :7 ,5(<< = ?- S' T,)KNM452 24O − @5? W1 + 6 @5@/? X @5@/?F − 4= 15@4=1@ 2@@@@@ E$%'($%*9%D,:$'*+%.3)'9.,9$%.'%&,%.*+3'%.'%&,%:I,+L' E$%F%@56%.,9(%&'%:,(%.r*9%:I,+L'7'9$%.'%:"*+$'%.*+3' E$%F%@5?%.,9(%&'%:,(%.r*9%:I,+L'7'9$%.'%&"9L*'%.*+3' σ - − 4= @=h4/=1@>'$$'%'0)+'((#"9%9'%)'*$%),(%s$+'%#9D3+#'*+%; %C%@=6% %W:"++'()"9.%; % ? - *9'%D#((*+'%#("&3'%'9%D#((*+,$#"9%9"9%(K($37,$#-*'X A%'(),:'7'9$%D#9,&%7,0#7,&%.'(%D#((*+'( %C% &8R>2%)+3V"#$%.'*0%D"+7*&'(%WhA11X%'$%WhA1?X%)"*+%:,&:*&'+%&8'(),:'7'9$%.'( % D#((*+'(%('&"9%-*'%&8'9$+,0'%.'(%,+7,$*+'(%'($%g%"*%`%;%/W:Q ∅B2X e,9(%&'%:,(%.'(%)"*$+'(5%&8'(),:'7'9$%.'(%,+7,$*+'(%'($%'9%L393+,&%g%;%:'$$' % V,&'*+5%("#$%/W?Q452B2XF2O%:7=%N"*(%+'$#'9.+"9(%."9:%&,%)+'7#i+'%D"+7*&' ∅ W= =$ + @5O== = XWε − ε X(%F 4 ? 2 -8 $8 % ρ (<< E2%'($%*9%:"'DD#:#'9$%-*#%$#'9$%:"7)$'%.'%&,%.#($+#<*$#"9%.'(%.3D"+7,$#"9(%C F%@5/%'9%D&'0#"9%%W'$%15@%'9%$+,:$#"9%)*+'X %C%"9%+'$#'9$%%E2F@5/ %C H"*+%&8'9+"<,L'%:5%9"*(%+'$#'9.+"9(%4@Q1@F?@%77 (+57,0%F%E4:%Q%@5O=E2E?∅%Bρ5'DD ,V':%%%E 4%F%45?%'$%E ?%F%@5?2/= 4--,&-%"&<).0'&&,?,)*8'&e'%(,)8,-%,&-)6&,)C'.,68)+,)OP)7.6()*'%$.,)7"68).,(),&8"$'T,()_)FE)## 2%B4E F45?W2/B:X F25?O%g45?%)"*+%.'(%: