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!"#$%& !'(%%)*+)*+'& ,&-%./ " # # # = − + − − + $ !"#"$%%&'"( )* $ +"%"*,-"' ."*"*,/# 012!34' ."*+"/#2 01 56"(78 " # # = − 9' %%& : ; " # # = − + − : < ; < < " # # # # # # = ⇔ − + − = = − ⇔ − + − = ⇔ = + =+"7"*,%6"0" ∈ ℝ >"*+"/8 ? % − − >"*"*,/8 ? & + − − ."*"*,/#01!34' ."*+"#28 @ A < '& '% ⇔ = ⇔ + + − − = − + − ⇔ + + − − = − + − ⇔ − + = = ⇔ = BC ,&-%./ D""EFG)8 ( ) H I " I # # # # π + + − + = 01 >"J,'"K8 " < 7 # # ( ( ) π ≠ ⇔ ≠ ∈ ( ) H I " I # # # # π + + − + = " I " " I # # # # # # π π + ⇔ + − − + = " I" " " # # # # # # # + ⇔ + − + = !"#$%&'() *+, -./0-12+"34,56 23 441'*%56 !"#$%& !'(%%)*+)*+'& ) " I" " " " I" " < # # # # # # # # # # # # ⇔ + + − + = ⇔ + − + − = " I" " " < " I" I" < I" " < I" < " # # # # # # # # # # # # # # # ⇔ + − + − − = ⇔ + − + − = ⇔ − + + = − = ⇔ + + LMEFG)8 I" < < # # # #+ − = ⇔ − − = ⇔ = − ⇔ = − # ( ( ) # ( π π π π = + ⇔ ∈ = − + BC"J,'"K " < " " I I # # # # π π + + + = ⇔ + = − ⇔ + = − # ( ( ) # ( π π π π = − + ⇔ ∈ = + #NE"J,'"K 7 # ( ( ) π π ⇒ = − + ∈ 5OPEFG)C 0"K8 7 7 7 # ( # ( # ( ( ) π π π π π π = + = − + = − + ∈ D""EFG)8 I ; H < # # # # #− + − − + − = ∈ ℝ 01 >"J,'"K8 I ; #≤ ≤ ( ) ( ) I ; H I ; A < # # # # # # # #− + − = − + ⇔ − − + − − − + − = ( )( ) ( ) ( )( ) ( ) I I ; ; A < I ; # # # # # # # # − − − + − − − + ⇔ + − − + = − + − + A A A < I ; A < I ; A < I ; # # # # # # # # # # # # # # − − ⇔ + − − − = − + − + ⇔ − − − − = − + − + = ⇔ − − − = − + − + < I ; I ; # # # # # # − − − = ⇔ − = − − + − + − + − + !"#$%& !'(%%)*+)*+'& 7 8 I ; I # # # − < ≤ − + − + − + % [ ] A7 I?;# #− ≥ ∀ ∈ $EFG)%Q"K 5OPEFG)C"KR,PS A# = ,'-%./ TTEU8 ( ) I # * # # +# # − = + − ∫ 01 ( ) I # # # # * # # +# +# # # # # − + − + = + − = ∫ ∫ >V # # # + +# +# # # # # + − = = + ⇒ = − = >W"O8 A # # = → = = → = 8 A * += ∫ >V + + + + = = ⇒ = = A A * + ⇒ = − ∫ A A A A A @ X I X ; = − − = − − 8,'-%./ )EY" ,%&$- P)ZO%6",%%,Q%6" P7. 0U" ,%$7VE[%&./\,$+"07\,-+"T*T/'"R"K 0%&$-!"#,%1%&1%NE!]"F-[%%23%&$-/!3 < < 01 ^23,%$/'_%.\,$+"07 23,&-/'_&.\,-+" ^5).0U" %&$$R` ,. ,' = ,P.a0U" ,&- .,P044FN,"*/ ,$4,- ^b`8 , %&- , &$- , %&$- = = = 9QYc*T8 I , %& , %& , %&- ,% ,& , ,% ,& ,- = = = ⇒ = !"#$%& !'(%%)*+)*+'& 9 I X , &0 , %& , &$- ,& ,0 , ,& ,$ ,- = = = ⇒ = .,P8 X , %&0 , %& , &0 = + = ^8 ,% + %&$-= ?9""# ,% %&$-⊥ $NE!]"%%6"23%&$-/T %- 7+","*/,$$" %-U+"7,P < < %- -%= = d,P8 < < ,% %- = = d,P8 ,% + %&$- = = = d,P8*T4)8 A A X X I 0%&$- , %&$- , %&0 = − = − = = 8,'-%./ 7 7# " 5 RFG)" BS/!"*,Y8 I I I # " 5 6 # " # 5 5 # " 5 # = + + + + + + + + 01 56" 7 7# " 5 e<8 I + ≥ +# " # " bS,f(fgP # "⇔ = FG8 I + ≥ +" 5 " 5 bS,f(fgP⇔P(h I + ≥ +5 # 5 # bS,f(fgP 5 #⇔ = ⇒ I I I ;+ + + + + ≥ + + ≥# " " 5 5 # # " 5 #"5 +" ; + + ≥ # " 5 " 5 # #"5 bS,f(fgP⇔ # " 5= = 5OP ; ≥ + ≥ 6 #"5 #"5 bS,f(fgP ⇔ = = = #"5 # " 5 ⇔ # " 5= = ( 5OP"i('" # " 5= = ( 537:-;<+=>?-2=@=A:BC@DE<<FGGH/2I=J-K=L2K=L2M=/N@4 M=O/@=BP2IGHQ2==R2+ 8J,&-%./ "F-j8 8 7 8 ; A$ # " $ # "+ = − + = >"*k?"/ % 5"#EFG)F-[l,k\ % +""*m7nkm(kn 01 D0"m?!5)m,1 8 $ # "+ = n$8 7+ = 5)k,"*mn,PnI?;!n,1 $8 ; A I A 7 7 7+ + − = ⇔ + + − = − !"#$%& !'(%%)*+)*+'& S #%8Io!(X H H 7 7⇔ − = − ⇔ = − #%8 H < I ; < ; H A A 7 7 7 7 7 7 − + = ⇔ − + = = → = ⇔ = → = − ? H ; H I ? 7 ? A A A A 0 8 + % 0 ≡ ⇒ − 5OPEFG)F-[ $ l,k?%%9GpEFG AI X ? A A 0 H < AI X # " # " − − = ⇔ − + = 'Q"%6"K01 '#"5 7"F-[8 I 8 7 8 # " 5 # " 5 + + + − + − = = = = − ? VE[ 8 I A <6 # " 5+ − + = 5"#EFG)T\/F-[ $ %,Q%6"V E[i-"\"F-[ ?+ + 01 ,P* ?+ + %JR+FN8 8 ? 8 I # # ( + " + " ( 5 5 ( = = + = − + = − − = = + D0"""*/ $ %6" ?+ + 4FN8k7q 8 ? ? ? ? ?I ? ?I % & ( ( ( %& ( ( ( − + + − − + ⇒ = + − − − + − mVE[i%9GE E,P# ?I? 6 = − b r r 6 6 2 6 %& %& $ ⊥ ⇒ ⇔ = < I ??7 ? ?I I ( ( ( % & ( + − = = ⇒ − − = ⇔ = − ⇒ − + − = − = >F-[ $ "l,"*k??%O ?I? 6 = − %9GpEFG$ $ EFG )8 I # " 5− − − = = − 8J,'-%./ )EYh!"#8 ( ) ( ) 5 5 5+ + − = − 01 D0" ? 5 7 7= + ∈ ℝ ( ) 5 5 5 7 7 7⇒ + − = − ⇔ − + + + − = − + 7 7 7 7 7 7 + = + ⇔ + − = + − + ⇔ = + !"#$%& !'(%%)*+)*+'& T < < < 7 7 7 7 = + = + = ⇔ ⇔ ⇔ = + = + = + V < < 7 = − = "EY8 ? < < 5 5 = = − + 4=O/@=BP2IGHQ2=2I@J/ 8U,&-%./ F-[R8 <# "+ + = %9"Es8 I # " + = 5"#EFG)F-[ $ %,Q %6"R%\s+""*k7qR"KT" k2q!3 01 + $ ⊥ ⇒ $ EFG)8 <# " − + = 01k7q"K/K8 < X I I < I # " # " # " " " − + = = − ⇔ − + − = + = R\s+""*k7q'"%p'"K"KEU!"K I < X X t ⇔ − > ⇔ − < < D0" ? 7 ? % " " & " "− − P ?P "K/ I 7 X " " " " − ⇒ + = = AX A A I I %& " " " " " " − ⇒ = − = + − = AX %& − ⇒ = >F- ? A ' + '= $ = d,P8 X I I %'& , %& ' $ − = = = ⇔ = ⇔ = ± 5OPEFG)F-[ $ 8 8 < 8 < # " # " $ − + = $ − − = ) 'Q " %6" K u 0 1 '#"5 V 4, , EFG )8 I ; <# " 5 # " 5+ + − + − − = %6"VE[ α EFG)#^"o5^H(<5"# EFG)VE[ β %6" α %\,9",P#F-j,%"!3;π 01 bβrrα$βEFG)8 < H# " 5 - -+ − + = ≠ mV4,dUv??7! 'Tw(A >F-j,%";π$! 'T( .v6" β ( A I9 − = − = !"#$%& !'(%%)*+)*+'& b8 H I A H - - - - = − + − − + = ⇔ − + = ⇔ = + + − 5OP β EFG)8 H <# " 5+ − − = 8U ,'-%./ 8D""!SEFG)8 ; A A # # # #+ − − − − + < 01 qSEFG)CFGFG%6"8 ; A A # # # # # # + − − + − ≥ − + < >V < # # + − − = > I A I < I I ⇒ + − < ⇔ − < < #NE%6""J,'"K7FN8 < I < < I # #+ − − ⇒ < # # # # ≥ − ⇔ ⇔ > + < + -./0-12+"14.HL2=BP2I IV2+ /@<J-02 +"
