• Nie Znaleziono Wyników

On monitoring the average level of the process based on the sequence of permutation tests

N/A
N/A
Protected

Academic year: 2021

Share "On monitoring the average level of the process based on the sequence of permutation tests"

Copied!
9
0
0

Pełen tekst

(1)

! " # $ % & ' ( ) * & " " & * # + , - . & ( % * & * # /,+& #,(!,%,0&! #1223#1455# 65527# # # # !"#$%!"&'%()"*+8# #

!"# !$% &$!'"%()"*+)&*')",)+),""

-"%()".& /)00"1*0)2" !"%()"0)34)!/)""

-".)&#4%*%$ !"%)0%0"

" *56789:7;""9:#;<=>>?;=<#@:A9BC>#DBE#@BF?ABE?FG#A9:#=H:E=G:#<:H:<#BD#A9:#IEB;:>>#?F#

JK=<?AL# ;BFAEB<# IEB;:CKE:># =E:# M=>:C# BF# A9:# FBE@=<?AL# =>>K@IA?BFN# "9:# *9:O9=EAP># ;BFAEB<# ;9=EA># =E:# M=>:C# BF# A9:# >:JK:F;:# BD# I=E=@:AE?;# A:>A>N# "9:# @=?F# =>>K@IA?BF># ?F# A9:>:# A:>A># =E:# A9=A# A9:# IBIK<=A?BF# ?># FBE@=<<L# C?>AE?MKA:C# =FC# BM>:EH=A?BF># =E:# ?FC:I:FC:FA#BD#:=;9#BA9:EN#

Q:E@KA=A?BF# A:>A># ;BK<C# M:# K>:C# :H:F# ?D# A9:# FBE@=<?AL# =>>K@IA?BF# ?># FBA# DK<D?<<:CN# "9:# ;BFAEB<# ;9=EA#M=>:C#BF# A9:# >:JK:F;:# BD# I:E@KA=A?BF# A:>A># ?>#IE:>:FA:C# ?F# A9:# I=I:EN# "9:#IEBI:EA?:>#BD#A9:#IEBIB>:C#;BFAEB<#;9=EA#=E:#;BF>?C:E:C#?F#A9:#0BFA:#!=E<B#>AKCLN# <=>"?@8A6B#IEB;:>>#@:=F3#;BFAEB<#;9=EA>3#I:E@KA=A?BF#A:>A3#0BFA:#!=E<BN# # " $;"$!%& 24/%$ !# #

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

#

$$;"%()"! &#*,$%C"*004#.%$ !#

#

"B# :>A=M<?>9# ;BFAEB<# <?@?A># ?F# ;<=>>?;=<# ;BFAEB<# ;9=EA># O:# 9=H:# AB# YFBO# A9:# IEB;:>>#I=E=@:A:E># #=FC#!N##&F#IE=;A?;:# #=FC#!#=E:#K>K=<<L#KFYFBOFN#&F#A9:>:# #################################################

(2)

]E[:GBE[#ZB^;[=Y#

55X

;=>:># O:# 9=H:# AB# :>A?@=A:# A9:# I=E=@:A:E># DEB@# A9:# IE:<?@?F=EL# >=@I<:># A=Y:F# O9:F#IEB;:>>#?>#A9BKG9A#AB#M:#?F#;BFAEB<N#"9:#=>>K@IA?BF#BD#FBE@=<?AL#>9BK<C#M:# A:>A:C#=FC#I=E=@:A:E>#>9BK<C#M:#:>A?@=A:CN#

&F# A9:# ;B@IKA:E# >?@K<=A?BF# A9:# E:>K<A># BD# A:>A?FG# FBE@=<?AL# DBE# A9E::# FBF_ FBE@=<#C?>AE?MKA?BF>#O:E:#;BF>?C:E:CN#"9:#DB<<BO?FG#C?>AE?MKA?BF>#O:E:#=F=<L[:C# ?F#A9?>#>AKCL`## " <BG_FBE@=<#C?>AE?MKA?BF#O?A9#I=E=@:A:E># #=FC#!##a#+%U43#5W3#+%U4N23#5W3# +%U535W3# " M:A=#C?>AE?MKA?BF#O?A9#A9:#>9=I:#=FC#A9:#>;=<:#I=E=@:A:E>#a#bU13#2W3##bU13# SW3#bU13#cW3# " G=@@=#C?>AE?MKA?BF#O?A9#A9:#>9=I:#I=E=@:A:E#a##U1W3##UcW3##USWN# "9:#DB<<BO?FG#FBE@=<?AL#A:>A>#O:E:#K>:C#?F#A9?>#>AKCL`#Q:=E>BFP>#;9?_>JK=E:# A:>A#UQW3#!E=@:E#a#HBF#0?>:>#A:>A#U!H0W3#+?<<?:DBE>#A:>A#U+W#=FC#*9=I?EB_T?<YP># A:>A#U*_TWN#

"9:# >AKCL# O=># I:EDBE@:C# DBE# >=@I<:# >?[:># BD# ,# d# 23# 52# =FC# c4# :V;:IA# DBE# Q:=E>BFP>#;9?#>JK=E:#A:>A#UBF<L#DBE#,#d#c4W#=FC#!E=@:E#HBF#0?>:>#A:>A#UDBE#,#d#52# =FC#,#d#c4W#N#"=M<:>#5ac#>9BO#A9:#:>A?@=A:C#IEBM=M?<?A?:>#BD#D=?<?FG#AB#E:e:;A#A9:# FK<<# 9LIBA9:>?># UFBE@=<?ALW# DBE# A9:>:# FBF_FBE@=<# C?>AE?MKA?BF>N# "9:# :>A?@=A:C# IEBM=M?<?A?:># =E:# M=>:C# BF# A9:# 54#444# >?@K<=A?BF># ?F# :=;9# ;=>:N# "9:# >?@K<=A?BF# >AKCL#O=>#I:EDBE@:C#K>?FG#)#U9AAI`ffOOONE_IEBe:;ANBEGW#IEB;:CKE:>N#

#

"=M<:#5N#"9:#:>A?@=A:C#IEBM=M?<?A?:>#BD#D=?<?FG#AB#E:e:;A#A9:#FBE@=<?AL#9LIBA9:>?>## U>=@I<:#BD#>?[:#,#d#2W#

+BG_FBE@=<#C?>AE?MKA?BF# b:A=#C?>AE?MKA?BF# ]=@@=#C?>AE?MKA?BF# ":>A#

+%U4g5W# +%U4N2g5W# +%U5g5W bU1g2W bU1gSW bU1gcW ##U1W# ##UcW# ##USW#

+# 4Nh54S# 4Nh4i2# 4Nh4i4# 4NRSXc 4NR2c2 4NR2S5 4NR55h 4NR1ic# 4NRcRh#

*_T# 4NiXXi# 4NiX21# 4NiX2i# 4NRcih 4NRSR5 4NR215 4NR4X1 4NR112# 4NRcS4#

*BKE;:`#0BFA:#!=E<B#>AKCLN#

# #

"=M<:#1N#"9:#:>A?@=A:C#IEBM=M?<?A?:>#BD#D=?<?FG#AB#E:e:;A#A9:#FBE@=<?AL#9LIBA9:>?>## U>=@I<:#BD#>?[:#,#d#52W#

+BG_FBE@=<#C?>AE?MKA?BF# b:A=#C?>AE?MKA?BF# ]=@@=#C?>AE?MKA?BF# ":>A#

+%U4g5W# +%U4N2g5W# +%U5g5W# bU1g2W# bU1gSW# bU1gcW# ##U1W# ##UcW# ##USW# !H0# 4N1ch2# 4N1chi# 4N1cii# 4NhhR5 4NR5iR# 4NRSc1# 4NXhiX 4NiiR5# 4Nh1i1# +# 4NccR5# 4NcS4R# 4Nc245# 4NR4ic 4NR1S5# 4NRS1R# 4Ni2ih 4Nh12h# 4NhXS2# *_T# 4N5ic4# 4N5ih2# 4N5iRc# 4Nhii5 4NR4hc# 4NRS1c# 4NX5i1 4Ni5S4# 4Nih4X#

(3)

,F#0BF?ABE?FG#A9:# H:E=G:#+:H:<#BD#A9:#QEB;:>>#b=>:Cj# 55i

"=M<:#cN#"9:#:>A?@=A:C#IEBM=M?<?A?:>#BD#D=?<?FG#AB#E:e:;A#A9:#FBE@=<?AL#9LIBA9:>?>## U>=@I<:#BD#>?[:&,#d#c4W#

+BG_FBE@=<#C?>AE?MKA?BF# b:A=#C?>AE?MKA?BF# ]=@@=#C?>AE?MKA?BF# ":>A#

+%U4g5W# +%U4N2g5W# +%U5g5W# bU1g2W# bU1gSW# bU1gcW# ##U1W# ##UcW# ##USW# Q# 4N425S# 4N4214# 4N42c2# 4Nhh44 4NR4c2# 4NRcc1# 4N2hXS 4Ni2hc# 4Nh1ii# !H0# 4N41c5# 4N41i5# 4N41S1# 4NiRhc 4Nh2c2# 4NR422# 4NS454 4N2h52# 4NXiS2# +# 4N4XX5# 4N4XRh# 4N4i5h# 4NhcXR 4Nhh45# 4NR5Sh# 4N21hh 4NXXhR# 4NiS55# *_T# 4N44Xi# 4N44RS# 4N44h2# 4Ni1S4 4Nh52S# 4NhRhh# 4N1242 4NSS2R# 4N2XSc# *BKE;:`#0BFA:#!=E<B#>AKCLN# # # "9:#C:;?>?BF#?>#H:EL#BDA:F#kD=?<#AB#E:e:;Al#A9:#FK<<#9LIBA9:>?>#UFBE@=<?ALW#DBE# ;BF>?C:E:C# FBF_FBE@=<# C?>AE?MKA?BF>N# &A# ?># :>I:;?=<<L# ?F# A9:# >@=<<# >=@I<:# ;=>:>## U,#d#2WN#&A#;BK<C#M:#>=?C#A9=A#A9:#:VI:E?@:FA=<#C=A=#CB:>#FBA#C:;?>?H:<L#E:e:;A#A9:# FK<<# 9LIBA9:>?>N# &F# >K;9# ;=>:># A9:# ;<=>>?;=<# ;BFAEB<# ;9=EA>3# C:>?GF:C# DBE# K>:# ?F# FBE@=<?AL# =>>K@IA?BF# =E:# BDA:F# K>:C3# MKA# A9:# FBE@=<?AL# =>>K@IA?BF# ?># FBA# DK<D?<<:CN##

# #

$$$;"/ !%& ,"/(*&%"1*0)2" !"%()".)&#4%*%$ !"%)0%" "

.=8DE797F@G"7=676"

Q:E@KA=A?BF#A:>A>#O:E:#?FAEBCK;:C#ML#)N N#/?>9:E#?F#5Rc4P>#UQN#]BBC3#1442WN# "9:>:# A:>A># =E:# =# ;B@IKA:E_?FA:F>?H:# >A=A?>A?;=<# A:;9F?JK:# ;B@I<:@:FA=EL# AB# MBBA>AE=I# UTNmN# T:<;93# 5RR4WN# T?A9?F# A9:# ;BFA:VA# BD# >K;9# A:>A>3# A9:# OBEC# I:E@KA=A?BF# ?># K>:C# AB#E:IE:>:FA# =# >I:;?D?;# ;BFD?GKE=A?BFf=EE=FG:@:FA# BD# >;BE:># U-NmN#*9:>Y?F3#144SWN#"9:#@=?F#=II<?;=A?BF#BD#A9:>:#A:>A>#?>#AOB#>=@I<:#IEBM<:@# UbN#(DEBF3#)N#"?M>9?E=F?3#5RRcWN#"9:#*9:O9=EAP>#;BFAEB<#;9=EA>#=E:#M=>:C#BF#A9:# >:JK:F;:#BD#I=E=@:AE?;#A:>A>N#"9:#>:JK:F;:#BD#I:E@KA=A?BF#A:>A>#O?<<#M:#K>:C#DBE# A9:#;BF>AEK;A?BF#BD#I:E@KA=A?BF#;BFAEB<#;9=EAN#

"9:# @=?F# ?C:=# BD# I:E@KA=A?BF# A:>A># ?># =AAE=;A?H:<L# >?@I<:# =FC# DE::# BD# @=A9:@=A?;=<#=>>K@IA?BF>N#+:A#K>#=>>K@:#A9=A#A9:#>=@I<:># o 3 3NNN3 n 5 5 51 55 5 - - -, . $ #

BD# >?[:# ,5# =FC# . $1 o-153-113NNN3-1,1n# BD# >?[:# ,1# O:E:# A=Y:F# DEB@# IB>>?M<L#

C?DD:E:FA#;BFA?FKBK>#C?>AE?MKA?BF>#/#=FC#]N#"9:#FK<<#9LIBA9:>?>#A9=A#A9:#>=@I<:># O:E:# A=Y:F# DEB@# ?C:FA?;=<<L# C?>AE?MKA?BF# O?<<# M:# A:>A:CN# "9?># 9LIBA9:>?># ;=F# M:# OE?AA:F#=>#

#

# # 04`/ $ # U5W#

#

(4)

]E[:GBE[#ZB^;[=Y#

55h

# # 01`/% # U1W#

#

+:A#&# M:# A9:# >?GF?D?;=F;:# <:H:<# U&& K>K=<<L# ?F# 9LIBA9:>?># A:>A?FG# ?># :JK=<# AB# 4N423#4N45#BE#4N5#=FC#?F#;BFAEB<#;9=EA>#?>#:JK=<#AB#4N445WN#+:A#25#=FC#21#=E:#A9:# >=@I<:>#@:=F># # # # $

'

+ , 3 +3 + + -, 2 5 3#DBE#+#d#53#1N# UcW# # +:A#K>#;BF>?C:E#A9:#>A=A?>A?;`# # # # 4 $25(21# USW# # +:A#K>#C:FBA:#ML#44#A9:#H=<K:#BD#A9?>#>A=A?>A?;#;=<;K<=A:C#DEB@#A9:#>=@I<:>#.5# =FC#.1N#p=H?FG#BM>:EH:C#443#A9:#=;9?:H:C#>?GF?D?;=F;:#<:H:<#U1.53#>::#bN#(DEBF3#

)N# "?M>9?E=F?3# 5RRcW# BD#A9:# A:>A#?># C:D?F:C# AB# M:# A9:# IEBM=M?<?AL# BD# BM>:EH?FG# =A# <:=>A#A9=A#<=EG:#BE#=A#@B>A#A9=A#>@=<<#H=<K:#O9:F#A9:#FK<<#9LIBA9:>?>#?>#AEK:N#1.5# ;BK<C#M:#OE?AA:F#=># # # # Uq 8q q 4qW 4 4 4 6 1.5$ 0 ) # U2W# #

O9:E:# A9:# E=FCB@# H=E?=M<:# 48# 9=># A9:# FK<<# 9LIBA9:>?># C?>AE?MKA?BF3# A9:# C?>AE?MKA?BF#BD#4#?D#04#?>#AEK:N#"9:#>@=<<#H=<K:#BD#1.53#A9:#>AEBFG:E#A9:#:H?C:F;:#

=G=?F>A#04N#&D#1.5#r#&&#A9:F#A9:#FK<<#9LIBA9:>?>#?>#E:e:;A:CN#

"9:#C?>AE?MKA?BF#BD#A9:#>A=A?>A?;#48#>9BK<C#M:#:>A?@=A:C#KFC:E#A9:#=>>K@IA?BF# FK<<#9LIBA9:>?>N#"9:#>:A##. $.5*.1#>9BK<C#M:#E=FCB@<L#C?H?C:C#7#A?@:>#U7#a# >9BK<C#M:#=A#<:=>A#5444W#?FAB#AOB#>=@I<:>#BD#>?[:>#,5#=FC#,1N#%:VA#DBE#:=;9#;=>:# A9:#H=<K:>#43&U3&d#53#13#j3#7W#=E:#;=<;K<=A:C#K>?FG#DBE@K<=#USWN#"9:F#A9:#H=<K:#BD# 1.5#;=F#M:#:>A?@=A:C# # # # 7 4 4 4 )*!8 1.5 1.5+ 9#!: $ o 3`q 3q)q 4qn# UXW# # # /@G78@H":I987"596=A"@G"7I="J=8DE797F@G"7=676"

+:A# K># =>>K@:# A9=A# O:# 9=H:# +# >=@I<:># .553.513NNN3.5+# :=;9# BD# >?[:# ,# DEB@# IEB;:>>#O9?;9#?>#A9BKG9A#AB#M:#?F#;BFAEB<#UA9:#>=@I<:#DEB@#A9:#C?>AE?MKA?BF#/WN#&F# A?@:#;#U;#d#53#13#j3#7W#A9:#>=@I<:#.1;#BD#>?[:#,#?>#A=Y:F#DEB@#A9:#C?>AE?MKA?BF# N#

(5)

,F#0BF?ABE?FG#A9:# H:E=G:#+:H:<#BD#A9:#QEB;:>>#b=>:Cj# 55R

"9:# FK<<# 9LIBA9:>?># A9=A# A9:E:# ?># FB# C?DD:E:F;:# M:AO::F# C?>AE?MKA?BF># /# =FC# # O?<<#M:#A:>A:CN##

+:A# .5 $.55*.51*NNN *.5+# =FC#.1 $.1;N# "9:# I:E@KA=A?BF# A:>A# ?F>A:=C# BD# A9:#I=E=@:AE?;#A:>A#O?<<#M:#K>:C#AB#A:>A#A9:#p4#9LIBA9:>?>N#

"9:# >;9:@:# BD# A9:# *9:O9=EAP># ;BFAEB<# ;9=EA# ?># IE:>:FA:C# ?F# A9:# /?GKE:#5# U-N!N#0BFAGB@:EL3#5RRXWN#"9:E:#=E:#A9E::#9BE?[BFA=<#;BFAEB<#<?F:>#?F#A9:#;9=EA>`# KII:E# ;BFAEB<# <?F:3# ;:FAE=<# <?F:# =FC# <BO:E# ;BFAEB<# <?F:N# "9:# <:H:<># BD# KII:E# =FC# <BO:E#;BFAEB<#<?F:>#=E:#E:<=A:C#AB#A9:#;E?A?;=<#H=<K:>#?F#9LIBA9:>?>#A:>A?FGN# #IB?FA# I<BAA?FG#BKA>?C:#A9:#;BFAEB<#<?@?A>#?>#:JK?H=<:FA#AB#E:e:;A#A9:#FK<<#9LIBA9:>?>#=FC# A9:# IB?FA# I<BAA?FG# M:AO::F# ;BFAEB<# <?F:># ?># :JK?H=<:FA# AB# D=?<?FG# AB# E:e:;A# A9?># 9LIBA9:>?>#?F#I=E=@:AE?;#A:>AN#,F#A9:#I:E@KA=A?BF#;BFAEB<#;9=EA#A9:E:#?>#BF<L#BF:# ;BFAEB<#<?F:#BF#A9:#>?GF?D?;=F;:#<:H:<#&<#U>::#/?GN#5WN#"9:#;BFAEB<#;9=EA#>9BO>#A9:# 1.5# H=<K:># H:E>K># A?@:# ;# U;# d# 53# 13# jN3# 7WN# "9:E:# =E:# I<BAA:C# ;=<;K<=A:C# 1.5;# H=<K:>#DBE#=#;_A9#>=@I<:#H:E>K>#A9:#>=@I<:#FK@M:EN# #IB?FA#I<BAA?FG#M:<<BO#A9:# 1.5#<?F:#U1.5=5W#?>#:JK?H=<:FA#AB#E:e:;A#A9:#FK<<#9LIBA9:>?>#?F#A9:#I:E@KA=A?BF#A:>AN# # # # >=@I<:#FK@M:E 2& 4# 5# 1# j# + ,-!. # # # # # # . # # # # # (-!. +!+ $!+ !+ 1.5 4 5 1 j + 5# # # # # # # 4N2# # # # # # # & *+_+# >=@I<:#FK@M:E# # /?GKE:#5N#"9:#GE=I9?;=<#>;9:@:#BD#A9:#*9:O9=EAP>#s#;BFAEB<#;9=EA#U<:DAW#=FC#I:E@KA=A?BF#;BFAEB<# ;9=EA#UE?G9AW# # # "9:#E:e:;A?BF#=E:=#BF#A9:#;9=EA#?>#BKA>?C:#A9:#=E:=#M:AO::F#KII:E#;BFAEB<#<?F:# U>?5W# =FC# <BO:E# ;BFAEB<# <?F:# U5?5W# ?F# A9:# *9:O9=EAP># ;BFAEB<# ;9=EA# ;=>:N# "9:# E:e:;A?BF#=E:=#?>#M:<BO#A9:#1.5#<?F:#U1.5=5W#?F#A9:#I:E@KA=A?BF#;BFAEB<#;9=EAN## #

(6)

]E[:GBE[#ZB^;[=Y#

514

$+;"# !%)"/*&, "0%42C""

#

# 0BFA:# !=E<B# >?@K<=A?BF># O:E:# K>:C# AB# ;B@I=E:# A9:# IEBI:EA?:># BD# A9:# I:E@KA=A?BF# ;BFAEB<# ;9=EA# =FC# A9:# ;<=>>?;# ;BFAEB<# ;9=EAN# "9:E:# O:E:# K>:C# )# IEB;:CKE:>#U9AAI`ffOOONE_IEBe:;ANBEGW#?F#A9:#0BFA:#!=E<B#>AKCLN#

#

" 2=6:8FJ7F@G"@K"89GA@D"L98F95H=6"FG"#@G7="/98H@"67EA>"

# "9:E:# O:E:# =F=<L[:C# DBKE# ALI:># BD# C?>AE?MKA?BF># ?F# A9:# 0BFA:# !=E<B# >AKCLN# /BE#:=;9#BD#A9:@#A9:E:#O:E:#K>:C#A9:#E=FCB@#H=E?=M<:>#23#@#=FC#A#O?A9#C?DD:E:FA# H=<K:>#BD#I=E=@:A:E>N#"9:#C:A=?<>#BD#E=FCB@#H=E?=M<:>#=E:#IE:>:FA:C#?F#A=M<:#SN## # # "=M<:#SN#"9:#E=FCB@#H=E?=M<:>#C:A=?<>#?F#0BFA:#!=E<B#>AKCL" "9:#I=E=@:A:E>#BD#E=FCB@#H=E?=M<:># @& "9:# C?>AE?MKA?BF# )#DKF;A?BF# "9:#:VI:;A:C# H=<K:# 2& A& #d#54N23#!#d#53#(t#d#54N2# %BE@=<# %U 3!W# EFBE@U,B 3#!W# & #d#543#!d#5# (sd54# #d#553#!#d#53#(.#d#55# #d#4N23#!.d#53#(t#d#:# +BGFBE@=<# +%U 3!W# E<FBE@U,B. 3#!W# //0 1 2 2 3 4 , 1 :VI 1 ! # #d#43#!#d#5# # C2 $ # #d#53#!.d#53#CA $ #c # D5#d#13#D1#d#S3# c 5 $ C@ # b:A=# bU>53#>1W# EM:A=U,3D53D1W# 1 5 5

D

D

D

,

# D5#d#13#D1#d#2# i 1 $ C2 # D5#d#13#D1#d#c3# 2 1 $ CA # D#d#c3#(t#d#c# ]=@@=#

#U>W# EG=@@=U,BDW# D&

D#d#1# (s#d#1# D#d#S3#(.#d#S# *BKE;:`#0BFA:#!=E<B#>AKCL# # # "9:#>?@K<=A?BF#>AKCL#O=>#I:EDBE@:C#DBE#

+

#d#c#>=@I<:>#BD#>?[:#

,

#d#2# DEB@#?F#=FC#BKA#BD#;BFAEB<#IEB;:>>N#"9:E:#DBKE#?F#;BFAEB<#IEB;:>>:>#O:E:# ;BF>?C:E:C#UBF:#FBE@=<#=FC#A9E::#FBF_FBE@=<WN## " %I="6FDEH97F@G"J8@:=AE8="

"9:# 0BFA:# !=E<B# >AKCL# O=># CBF:# DBE# E=FCB@# H=E?=M<:># C:>;E?M:C# ?F# A=M<:#SN##"9:E:#O=>#=>>K@:C#A9:#>?GF?D?;=F;:#<:H:<#

&

#d#4N42#?F#A9:#0BFA:# !=E<B#>AKCLN#"9:#>A:I>#BD#A9?>#>AKCL#O:E:#=>#DB<<BO>#

(7)

,F#0BF?ABE?FG#A9:# H:E=G:#+:H:<#BD#A9:#QEB;:>>#b=>:Cj# 515

5N

+

#>=@I<:>#BD#>?[:#

,

#U

+

#d#c3#

,

#d#2W#DEB@#C?>AE?MKA?BF#

/

#U=>#E=FCB@# H=E?=M<:#

2

# ?F# ;BFAEB<# IEB;:>>W# O:E:# G:F:E=A:CN# "9:>:# >=@I<:># DBE@:C## =#>=@I<:#*5N#

1N "9:# >=@I<:#

.

1# BD# >?[:#

,

# U

,

# d# 2W# DEB@# C?>AE?MKA?BF# =># E=FCB@# H=E?=M<:#

2

# U?F# ;BFAEB<# IEB;:>>W3#

@

# =FC#

A

# UBKA# BD# ;BFAEB<# IEB;:>>:>W# O=># G:F:E=A:CN#

cN "OB#A:>A>#O:E:#I:EDBE@:C#

=W# BF:# >=@I<:#

;

# A:>A# O9:E:# A9:# A:>A:C# H=<K:# O=># :>A?@=A:C# DEB@# A9:# D?E>A#>=@I<:#

MW#I:E@KA=A?BF#A:>A#DBE#AOB#>=@I<:>##

SN *A:I>#5ac#O:E:#E:I:=A:C#

7

#d#54#444#A?@:>N#

2N "9:# :@I?E?;=<# IEBM=M?<?A?:># BD# E:e:;A?BF#

0

4# DBE#

;

# A:>A# =FC# I:E@KA=A?BF#A:>A#O:E:#;=<;K<=A:C3#A9:#>A=FC=EC#:EEBE>#O:E:#:>A?@=A:C#K>?FG# e=;YYF?D:#@:A9BC>N#

"

%I="8=6EH76"@K"#@G7="/98H@"67EA>"

"9:#:>A?@=A:C# IEBM=M?<?A?:># BD# E:e:;A?BF# BD# A9:# FK<<# 9LIBA9:>?># DBE# ;<=>>?;=<# *9:O9=EAP># ;BFAEB<# ;9=EA># =FC# DBE# A9:# I:E@KA=A?BF# ;BFAEB<# ;9=EA# =E:#IE:>:FA:C#?F#A9:#A=M<:#2N## # # "=M<:#2N#"9:#:>A?@=A:C#IEBM=M?<?A?:>#BD#E:e:;A?BF#A9:#FBE@=<?AL#9LIBA9:>?>#U;#A:>A#=FC#I:E@KA=A?BF# A:>AW#=FC#A9:#>A=FC=EC#:EEBE>#BD#:>A?@=A:# "9:#C?>AE?MKA?BF>#I=E=@:A:E># ;&A:>A& Q:E@KA=A?BF#A:>A# "9:#?F#;BFAEB<## IEB;:>>#>=@I<:# QEB;:>>##

>=@I<:# IEBM=M?<?AL# >A=FC=EC#:EEBE IEBM=M?<?AL# >A=FC=EC#:EEBE#

%U5435W# 4N4Xh2# 4N4414# 4N421R# 4N4415#

%U543235W# 4N5X52# 4N44ci# 4N525i# 4N4412# %BE@=<#

%U543#5W#

%U5535W# 4NS5hS# 4N44S5# 4NS212# 4N442h#

+%U435W# 4N5R1S# 4N442S# 4N4Si1# 4N4452#

+%U432g5W# 4N4XXi# 4N441i# 4N14i2# 4N44S4# +BG_FBE@=<#

+%U43#5W#

+%U535W# 4N4hhR# 4N44cc# 4N25SR# 4N44c5#

bU132W# 4N4hii# 4N4415# 4N42SX# 4N441i#

bU13SW# 4N4icR# 4N44c4# 4N544S# 4N441X#

b:A=# bU13#2W#

bU13cW# 4N5SiX# 4N44c4# 4N1X5X# 4N44ci#

#U1W# 4N54X2# 4N44Sc# 4N4251# 4N4411#

#UcW# 4N512R# 4N441i# 4N1i2S# 4N44S4#

]=@@=# #U1W# #USW# 4Ncic5# 4N44S2# 4NX24X# 4N442c# *BKE;:`#0BFA:#!=E<B#>AKCL# # #

(8)

]E[:GBE[#ZB^;[=Y#

511

"9:#:>A?@=A:C#IEBM=M?<?A?:>#BD#E:e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e:;A?BF#A9:#FBE@=<?AL#9LIBA9:>?>## =FC#A9:#>A=FC=EC#:EEBE>#BD#:>A?@=A:# *BKE;:`#A=M<:#2N# # #

&A# ;=F# M:# FBA?;:C# A9=A# DBE# =F=<L[:C# >=@I<:># BD# >?[:># ,# d# 2# A9:# I:E@KA=A?BF# A:>A# ?># @BE:# =;;KE=;L# A9=F# ;# A:>AN# &D# p4# ?># AEK:3# I:E@KA=A?BF# A:>A># G?H:># =<@B>A#

:V=;A<L#544&#u#;9=F;:#A9=A#1.5I:E@#O?<<#M:#<:>>#A9=F#&##:H:F#?D#A9:#C?>AE?MKA?BF#

BD#E=FCB@#H=E?=M<:#?>#>Y:O:C#UDBE#:V=@I<:#<BG_FBE@=<#C?>AE?MKA?BFWN#&D#A9:#FK<<# 9LIBA9:>?># ?># AEK:# UA9:E:# ?># FB# C?DD:E:F;:# M:AO::F# C?>AE?MKA?BF>W# A9:E:# DBE# :=;9# ALI:# BD# C?>AE?MKA?BF# UFBE@=<# =FC# FBF_FBE@=<# C?>AE?MKA?BF>W# A9:# IEBM=M?<?AL# BD# E:e:;A?BF#A9:#FK<<#9LIBA9:>?>#?>#=<@B>A#&N#&D#A9:#FK<<#9LIBA9:>?>#?>#D=<>:3#A9:F#A9:# I:E@KA=A?BF# A:>A# @BE:# BDA:F# <:=C># AB# E:e:;A?BF# BD# A9?># 9LIBA9:>?>3# :>I:;?=<<L# ?F# FBF_FBE@=<#;=>:>N#

" "

(9)

,F#0BF?ABE?FG#A9:# H:E=G:#+:H:<#BD#A9:#QEB;:>>#b=>:Cj# 51c +;"/ !/,42$!'"&)#*&<0#

#

"9:#;<=>>?;=<#;BFAEB<#;9=EA>#;=F#M:#K>:C#KFC:E#A9:#FBE@=<?AL#=>>K@IA?BFN#"9:# ;BF>AEK;A?BF# BD# A9:# ;BFAEB<# ;9=EA# M=>:C# BF# A9:# >:JK:F;:# BD# I:E@KA=A?BF# A:>A># ?># IE:>:FA:C#?F#A9:#I=I:EN#Q:E@KA=A?BF#A:>A>#=E:#DE::#BD#@=A9:@=A?;=<#=>>K@IA?BF>3# :>I:;?=<<L# ;B@I<:A:<L# E:@BH:># A9:# FBE@=<?AL# ;BFC?A?BFN# "9:# IEBI:EA?:># BD# A9:# IEBIB>:C#;BFAEB<#;9=EA#=E:#;BF>?C:E:C#?F#A9:#0BFA:#!=E<B#>AKCLN#

"9:#>?@K<=A?BF#>AKCL#9=>#>9BOF#A9=A#A9:#I:E@KA=A?BF#A:>A>#;BK<C#M:#K>:C#DBE# @BF?ABE?FG#IEB;:>>#@:=FN#"9:#I:E@KA=A?BF#A:>A>#=E:#K>:DK<#DBE#@BF?ABE?FG#FBF_ FBE@=<#IEB;:>>:>N#Q:E@KA=A?BF#A:>A>#G?H:#=<@B>A#:V=;A#&#IEBM=M?<?AL#BD#E:e:;A?BF# A9:#AEK:#FK<<#9LIBA9:>?>#:H:F#DBE#FBF_FBE@=<#C?>AE?MKA?BF>N## " " &)-)&)!/)0" " (DEBF#bN3#"?M>9?E=F?#)N#U5RRcW3# F#&FAEBCK;A?BF#AB#A9:#bBBA>AE=I3#!9=I@=F#v#p=<<N#%:O#tBEYN# ]BBC# QN# U1442W# Q:E@KA=A?BF3# Q=E=@:AE?;# =FC# bBBA>AE=I# ":>A># BD# pLIBA9:>:>3# *IE?FG:E# *;?:F;:#

bK>?F:>>#0:C?=3#&F;N3#%:O#tBEYN#

0BFAGB@:EL#-N!N#U5RRXW3#&FAEBCK;A?BF#AB#*A=A?>A?;=<#wK=<?AL#!BFAEB<3#mB9F#T?<:L#v#*BF>3#&F;N# *9:>Y?F#-NmN#U144SW3#p=FCMBBY#BD#Q=E=@:AE?;#=FC#%BFI=E=@:AE?;#*A=A?>A?;=<#QEB;:CKE:>3#!9=I@=F#

v#p=<<f!)!3#bB;=#)=ABFN#

T:<;9# TNmN# U5RR4W3# !BF>AEK;A?BF# BD# Q:E@KA=A?BF# ":>A>3# mBKEF=<# BD# A9:# @:E?;=F# *A=A?>A?;=<# >>B;?=A?BF3#HB<N#h23#%BN#S553#"9:BEL#=FC#0:A9BC>N#

#

& !"#$%!"&'%()"*+&

#

"# !$% & M*!$4". N$ #4".&N)/$O%!)' ".& /)04" N"MC< &NC0%*!$)#"0)<M)!/P$"%)0%QM".)&#4%*/CP!C/("

#

Z<=>L;[F:# @:ABCL# IB[O=<=ex;:# F=# @BF?ABEBO=F?:# IB[?B@K# IE[:;?yAF:GB# IEB;:>zO# IEBCKY;LeFL;9#BCOB{Kex#>?y#[OLY<:#CB#[={B|:F?=#FBE@=<FB};?#EB[Y{=CK#M=C=F:e#[@?:FF:eN#TLF?Y=# AB# [# D=YAK3# |:# O# YBF>AEKY;e?# Y=EA# YBFAEB<FL;9# *9:O9=EA=# OLYBE[L>AKe:# >?y# >:YO:F;e:# A:>AzO# I=E=@:AEL;[FL;93# YAzE:# OL@=G=ex# >I:{F?:F?=# O>IB@F?=F:GB# [={B|:F?=N# *AB>BO=F?:# A:>AzO# I:E@KA=;LeFL;9# F?:# OL@=G=# >I:{F?:F?=# A=Y# B>AEL;9# [={B|:^N# T# =EALYK<:# [=IEBIBFBO=FB# [=>AB>BO=F?:# [=@?=>A# >:YO:F;e?# A:>AzO# I=E=@:AEL;[FL;9# >:YO:F;e?# A:>AzO# I:E@KA=;LeFL;9N# .=IEBIBFBO=FB#YBF>AEKY;ey#Y=EAL#YBFAEB<F:e#OLYBE[L>AKex;:e#>:YO:F;e:#A:>AzO#I:E@KA=;LeFL;9N# )B[O=|=F?=# A:BE:AL;[F:# [B>A={L# K[KI:{F?:F?BO:# =F=<?[=@?# >L@K<=;LeFL@?N# F=<?[L# >L@K<=;LeF:# OLY=[={L3#|:#>AB>BO=F?:#IEBIBFBO=F:e#Y=EAL#YBFAEB<F:e#@B|:#ML~#>[;[:Gz<F?:#IE[LC=AF:#C<=#IEzM# B#@={L;9#<?;[:MFB};?=;9#IB;9BC[x;L;9#[#EB[Y{=CzO#B#>?<F:e#=>L@:AE??N#

Cytaty

Powiązane dokumenty

A separate, extensive and important field is the philosophy of the Jesuits not directly connected with academic teaching, though its roots do lie in the philosophy taught in

The procedure presented in this paper assumes the use of statistical data related to the failures of uniform population of nonrenewable technical objects, recorded in the form

Naiwne tłumaczenia, iż synowie księda - Aleksander Leon Józef i Stefan Adam - nie znają języka polskiego, bowiem wyrośli w obcej kulturze i ich żyde wytyczają

But all such results contain some restrictions on (X, M, N ) and the number of terms is relatively large; this is not convenient in applications.. Our result (see Theorem 2

They investigated the arithmetic properties of Q A and, in particular, they proved the following theorem:..

Finally, we note that the spherical map of the boundary of a compact convex domain with nonvanishing Gaussian curvature is always one-to-one (cf.. Assume that the spherical map of ∂B

(One can also give a different proof by adapting that of Proposition 3 below; see the remark following that proposition.).. In this paper we obtain several new estimates of l(q) and

Water flow diagram shows that in the time when Kopiec was characterized by the lowest corrosion rate, the ratio of Raba river to water from Bielany intake was much higher.. This