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@Sensini: La teoria della "rendita," 1912, pp. 407-8.
@kAntonelli: Le'on Walras, dans la Revue d'histoire des doctrines e'conomiques et sociales, 1910, p. 187.
O@kV. Pareto: Manuel d'e'conomie politique trad. de l'italien par Al. Bonnet, 1909. pp. 160, 247.
l@T. N. Carver: The Distribution of Wealth, 1899, Preface.
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@BZZtŎvʂẢiŋʂɓꍇB͔܂͔ł钇l΂̑𑼂̔܂͔ł钇lɐmɌoꍇłB̏ꍇɂ͌sA͘ZZtێAs̐Î~ԂȂ킿s̋ύtike'quilibreljB
@Bł钇l̑oȂꍇB̏ꍇɂ͘ZZt̉iŎvOt̗ʂ́Ảiŋʂ𒴉߂ĂB_͒~BZZEZ܃t܂͂ȏŔĂ悢Ƃ̎w}󂯂l̉iŎvBނ͂グB͓̂̌ʂ𐶂߂BijZZEZ܃tł̔ƂȂ蓾Ȃ̘ZZt̔͑ނBijZZtł̔ƂȂ蓾Ȃ̘ZZEZ܃tɂĂ̔肪ĂBނ炪Ɏw}^ĂȂƂ΁Aނ͐VɎw}^B̓ɂāALvƗLƂ̊Ԃɑu͌B҂̋ϓĂяo΁Ai̓M͂Œ~BłȂꍇɂ͘ZZEZ܃tZZEZtɁAZZEZtZZE܃tɂƁAƎvƂ̋ϓ܂ŁAi͓MBčŁAVÎ~ԂB
@OBł钇l̑oȂꍇB̏ꍇɂ͘ZZt̉iŋOt̗ʂ́AiŎvʂłB̏ꍇɂ͒~B܋E܃t܂͂ȉŔĂ悢Ƃ̎w}󂯂ĺẢiŋBނ݂͌ɂ艺B
@ꂩ̌ʂBij܋E܃tɂĔƂȂ蓾Ȃ̘ZZtɂĂ̔͑ނBijZZtɂĔƂȂ蓾Ȃ̌܋E܃tɂĂ̔肪BŋƎvƂ̊u肪BċƎvƂ̋ϓĂь܂ŁAi͌܋E܃t܋EZtցA܋EZt܋E܃tւƉB
@̎OttXɍsꂽƓpAׂĂ̌Ⴆ΃CMXAC^AAXyCAgRAGWvǧɂA܂SE`pE^́EzREzsKXtƁEs̑̐Mp@֓̊yюЍɂsA̕ω͏،̔@stɂZEZ܃tAZE܃tAE܃tA܃tA܃tłƑzA܂̂قɒsA̒ɂPAsԂtsƑzBĎ̌͂elꂼ̊y󎝂Ă鉉t̂悤Ȃ̂łB
@lO@́Aꂩ炩鋣ԂɂĐl悤ƂBʂɌoϊw҂́AOIȎ̉Ɍ悤Ȍ݂̂悤ƂBނ̓_ChAt@G̊GAs̉ŷ݂BWEX`A[gE~̈pɂ΁AhENBV[iDe Quinceyj́ADDɏăX[yI[΁ikLac Supe'rieurlj𗷍slzBl͊yLÄĺu甪Sbs}CtĂ閳l̒nւ̈ڏZ̓rłvAhoɍۂyŵYꂽ̂łB̐lɂƂĊy͐S̕sast_ȗ͂ĂBD悤ƂƂA̐l͑̈lLyZZMj[̉iōwƂB񗝘_͂ȏꍇl˂΂ȂȂBsɍsʓI@́A_Ch̎sɂAt@G̊G̎sɂAy̎sɂKp˂΂ȂȂB͂܂NBV[l悤Ȉl̔ƈl̔ƈӂ̕ƈuԂƂ琬sɂKp˂΂ȂȂB_Iɂ͈ʂ̏ꍇ̏ꍇɐiނ̂悢̂łȀꍇʂ̏ꍇɐiނׂł͂ȂBVw҂V̂ϑ̂ɁA_̖𗘗pȂŁA_̑IԂׂł͂܂B
@ll@̌ۂƋ̋@\̊{TO^邽߁ÁAsɂċݕƌ،̔ɂƂBǂ̏،͑SȎނ̏iłAɉݕ݂̂܂̓̏ꍇłB͌ɉݕ݂̌邪Aɂ͂l̈ʓǏƍʂ悢悤ɎvBŎ̖{ɗAA̊ώ@ɉȊwI^邽߁ACӂ̓񏤕î݂Ƃ邱ƂƂB̓񏤕iAƏłƉ肵Ă悯΁A܂͒ۓIɁi`jAiajƉ肵Ă悢B͂`Aai`jAiaĵ悤ɊʂɎ߁Aʂ\킷Ƃ̍Bʂ\킷͕ɑgݍ܂B̂̂łAi`jAiajŕ\킷̂͗ʂł͂ȂāAނłANw̌tp΁A{łB
@ōAszAɁi`jgȂ炻̈ꕔ^āiaj𓾂悤ƂlX瓞AiajL̈ꕔ^āi`j𓾂悤ƂĂlX瓞ƂB̏ꍇɂ̊bƂȂ̂Kvł邩A͗Ⴆ΁A钇lAO̎̑ʂAi`ĵPʂɑ΂iaĵPʂ^ƑzB͎̌̕ŕ\킳B
mSn
mvamuav͉tn=nvbmubv͉tn
mŎIn
Łi`j̈Pʂ̌l vamuav͉tn ƌĂсAiaj̈Pʂ̌l vbmubv͉tn ƌĂłi߁jB
@l̔䂷Ȃ킿ΓIlimuivɖT_niprixjƈʓIɌĂсAi`jŕ\킵iaj̉iAiajŕ\킵i`j̉iAꂼ pbmubv͉tn, pamuav͉tn ňʓIɕ\킵Amifig45210_005.pngjnyсmifig45210_006.pngjn̒lɂꂼʋyсmifig45210_007.pngjnŕ\킹΁Ȃ̕
mSn
mifig45210_008.pngjn
mŎIn
𓾂ׂA܂̓̕
mSn
mifig45210_009.pngjn
mŎIn
BāA
@iȂ킿l̔́muiȂ킿l̔́vɖT_nAꂽi̗ʂ̔ɓmuꂽi̗ʂ̔ɓvɖT_nB
@eỉi݂͌ɋtłmueỉi݂͌ɋtłvɖT_nB
@i`jłāAiajłƂAl܃wNgbg̏ZwNgbg̉ƌ悤Ɛ\񂾂Ƃ΁Aŕ\킵̐\i͂QłāAŕ\킵̐\ímifig45210_010.pngjnłBɂ悤ɁA̌ɂ͏ɓ̔Ɠ̔Ƃ邪AƓ̉iBɑ݂邱݂̑̋t֌ẂA̎ɂĒӂׂłdȎłA㐔L̎gp͂ɂ߂ĖĂȂ炵߂邩A͂Ȃ͂֗łB̏㐔L̎gṕAʓIȌĂȎŕ\킵闘vĂBp闝RɂB
@l܁@imifig45210_011.pngjnɂi`jyсiaj̗LvyїLAꂼ Damuav͉tn, Oamuav͉tn, Dbmubv͉tn, Obmubv͉tn Ƃ΁A̎vʂƋʂƉiƂ̊Ԃɂ́AɎwEĂ˂΂ȂʏdvȊ֌WB
@ɂ悤ɁALvyїL͈̉iɂ菤iʂ̎vyыłB̂ pamuav͉tn ̉iɂāAi`j Damuav͉tn ʂ̎vƂ΁ÁADamuav͉tnpamuav͉tn ɓ Obmubv͉tn ʂ́iajĂƂƂłBႦΏŕ\킵imifig45210_010.pngjnœZZwNgbg̉vƂ΁A͏̈ZZwNgbg̋ƂƂłB̂ɈʂɁADamuav͉tn, pamuav͉tn y Obmubv͉tn ̊Ԃɂ́A
mSn
Obmubv͉tn=Damuav͉tnpamuav͉tn
mŎIn
B
@l pamuav͉tn ̉i Oamuav͉tn ʂ́i`j̋Ƃ΁ÁAOamuav͉tnpamuav͉tn ɓ Dbmubv͉tn ʂ́iajvƂƂłBႦΏŕ\킵imifig45210_010.pngjnň܁ZwNgbg̉̋Ƃ΁ÁA̎܃wNgbg̎vƂƂłB̂Ɉʂ Oamuav͉tn, pamuav͉tn, Dbmubv͉tn̊Ԃɂ́A̕藧B
mSn
Dbmubv͉tn=Oamuav͉tnpamuav͉tn
mŎIn
@l Dbmubv͉tn, Obmubv͉tn, pbmubv͉tn, Oamuav͉tn, Damuav͉tn ̊ԂɁÂؖ̕ł낤B
mSn
Oamuav͉tn=Dbmubv͉tnpbmubv͉tn
Damuav͉tn=Obmubv͉tnpbmubv͉tn
mŎIn
̎́A̓̕ƕ pamuav͉tnpbmubv͉tn=1 Ƃo邪AɊ֌WȂؖ꓾B
@āA鏤i𔽑΋tƂꏤi̗Lv܂͋́mu鏤i𔽑΋tƂꏤi̗Lv܂͋́vɖT_nÂ鏤i̗L܂͗LvƁmû鏤i̗L܂͗LvƁvɖT_nÄꏤiŕ\킳ꂽ̂鏤ỉiƂ̐ςɓmüꏤiŕ\킳ꂽ̂鏤ỉiƂ̐ςɓvɖT_nB
@ŁAl̗ Damuav͉tn, Oamuav͉tn, Dbmubv͉tn, Obmubv͉tn ̂A͑̓猈肹邱ƂAm邱ƂoB́AɐV܂ŁA Obmubv͉tn y Oamuav͉tn ́Av Damuav͉tn y Dbmubv͉tn 琶̂łƍlAvʂʂ琶̂Ƃ͍lȂłBۓ̏ȋ݂̕X̌ۂɂẮAv͍{IȎłƍl˂΂ȂʂA͕IȎłƍl˂΂ȂʁBl͋̂߂ɁÂł͂ȂB邱ƂȂẮAv邱ƂoȂ̂ɁÂłB͎v̌ʂɉ߂ȂB̂ɂ܂X́AƉiƂ̊ԂɊԐړI֌WF߂邾ŖAvƉiƂ̊Ԃɂ̂ݒڂ̊֌W߂悤ƎvB́Apamuav͉tn, pbmubv͉tn ̉iɂāADamuav͉tn, Dbmubv͉tn ̎vƂ΁A
mSn
Oamuav͉tn=Dbmubv͉tnpbmubv͉tn,@Obmubv͉tn=Damuav͉tnpamuav͉tn
mŎIn
ƂȂB
@lZ@ƂŁA
mSn
Damuav͉tn=Oamuav͉tn
mŎIn
łƂ΁A=1 ł邩A>1 ł邩A<1 ł邩̎O݂̉邱ƂoB܂Ō̒藝qׂĂB
@L̕ɁA
mSn
Damuav͉tn=Obmubv͉tnpbmubv͉tn
Oamuav͉tn=Dbmubv͉tnpbmubv͉tn
mŎIn
ɂė^ꂽ Damuav͉tn, Oamuav͉tn ̒l΁A
mSn
Obmubv͉tn=Dbmubv͉tn
mŎIn
ƂȂB
@āA̏i^ꂽƂ΁mu̏i^ꂽƂ΁vɖT_nA̏i̗Lv̗̂Lɑ΂́mu̏i̗Lv̗̂Lɑ΂́vɖT_nȀi̗L̗Lvɑ΂ɓmȕi̗L̗Lvɑ΂ɓvɖT_nB
@̒藝͎̂悤ɏؖ邱ƂoB
mSn
Damuav͉tn=Obmubv͉tnpbmubv͉tn
Dbmubv͉tn=Oamuav͉tnpamuav͉tn
mŎIn
mRn
Damuav͉tnDbmubv͉tn=Oamuav͉tnObmubv͉tn
mŎIn
@܂́A
mSn
Oamuav͉tn=Dbmubv͉tnpbmubv͉tn
Obmubv͉tn=Damuav͉tnpamuav͉tn
Oamuav͉tnObmubv͉tn=Damuav͉tnDbmubv͉tn
mŎIn
@ǁA̍lɂ
mSn
mifig45210_012.pngjn
mŎIn
ƂȂB
@̂Ɂi`j̗LvƋƂ΁Aiaj̗LƎvƂ܂ƂBi`j̗Lv̗Lł΁Aiaj̗L͓ŗLvł邱ƂBŌɂi`j̗LLvł΁Aiaj̗Lv͓ł̗Lł邱ƂBꂪE̒藝̈ӖłB
@l@ =1, Damuav͉tn=Oamuav͉tn, Obmubv͉tn=Dbmubv͉tn łƉ肷΁A񏤕ii`jAiajꂼmifig45210_011.pngjn̉iŎvʁAʂ͑BeX̔yє͔܂͔ɂ傤ǂ̑oB]Ďs̋ύtBύtimifig45210_007.pngjny  ɂāAi`j̗ Damuav͉tn=Oamuav͉tn ́iaj̗ Obmubv͉tn=Dbmubv͉tn ɌBs͏IA񏤕ȉ҂͑̂łB
@l@mifig45210_013.pngjnłƂB΂񏤕i̊eX̋ƎvƂ̋ϓ͂ɂĐ邩BꌩƁAɗᎦɂɂĂȂ_Â܂܂ŌJԂ悤ɎvBǂ͑ȂłBł͌̔ƔƂ邪Ȁ،̉ĺA̓̎̋zƎ{ɑ΂ƂɈˑBɏqׂł낤悤ɁA̉i̓M͎vA𑝉𓾂ȂẢ͎v𑝉A𓾂ȂBł́A҂镨͒ڂɗp𑶂鏤iƉ肹Ăi`jƁiajƂłAi`jƁiaǰ҂݂̂ső΂Ă̂łBĂ̎ׂĂCB
@ADamuav͉tn  Oamuav͉tn ł΁Apamuav͉tn ͓M˂΂ȂʁBiȂ킿 pbmubv͉tn ͉˂΂ȂʁBj܂΂ɂADbmubv͉tn  Obmubv͉tn łƂ΁Apbmubv͉tn ͍˂΂ȂʁBipamuav͉tn ͉˂΂ȂʁBjvɂĂl̐_ȂBȂ킿iM΁Av͑邱ƂoȂA𓾂ȂBۗႦΈZwNgbg̉ɑ΂A܃wNgbg̏ҁAȂ킿ŕ\킵i 0.50 ňZwNgbg̉v҂AwNgbg̏̏L҂łƂBŕ\킵̉i 0.50 ł́Ǎ҂͓lwNgbg̉𔃂Bނ́Aɑ΂~]̎ŁAZwNgbgȂƂBi 0.60 ƂƁAZwNgbg̉ȂB̏ꍇɂ́Aނ́Aɑ΂~]̎ŁAZwNgbg\\ނXɕx񂾂Ƃɂ̗͂ʂɒB悤\\܂͂ȉɂł낤ƁAl˂΂ȂʁB̔@Apamuav͉tn ̍Ȃ킿 pbmubv͉tn ̉́ADamuav͉tn ADbmubv͉tn 𑝉߂邱ƂoȂB΂ pbmubv͉tn ̓MȂ킿 pamuav͉tn ̉́ADbmubv͉tn ADamuav͉tn 𑝉邱ƂoȂB Oamuav͉tn  Obmubv͉tn Ƃ͂ɕω邩B̖ɓ͕̂s\łBOamuav͉tn  Dbmubv͉tn  pbmubv͉tn Ƃ̐ςɓBƂł̈q̈ pbmubv͉tn ܂͑傷΁Äq Dbmubv͉tn ́ÂƂő܂͌Bl Obmubv͉tn  Damuav͉tn  pamuav͉tn Ƃ̐ςɓBƂ pamuav͉tn 邩邩ɏ]āADamuav͉tn ́ÂƂŁA܂͑B]āA҂ύt邩ۂAɂĒmׂƂȂB
my[Wn

@@@@Ź@LvȐƗLȐBvƋƂ̋ϓ̐

mWn
vځ@l@ȋɉėLvƂB܁ZA܈Aܓ@i̔ƂĂ̕Iv̋Ȑ܂͕B܎O@vȐ͓ɋȐłB܎l@ݗʂ̑oȐB܌܁@WƑݗʂ̑oȐƂ̊ԂɂvȐ̒ԓIʒuBܘZ@񏤕i݊Ԃ̖̌̉B܎@vȐ̒ɒӂ݂ɋtłAꂼ̖ʐςɔႷ`st}邱Ƃɂ􉽊wIBܔ@㐔IB܋@i̊֐ƂĂ̋Ȑ\邱Ƃɂ̉̌BZZAZ@Lv̖@Ȃ킿ύti̖@B
mŎIn

@l@ł́AiƗLƂ̊Ԃɂ͊Ԑڂ̊֌WȂAiƗLvƂ̊Ԃɂ̂ݒڂ̊֌Wƍl̂ł邩AX˂΂Ȃʂ̂͌҂łB
@̌̂߂ɁAɏ̏҂ƂB̐l͏L邪ALȂBŎ̏̂߂ɁA኱ʂ̏ۗA̎኱ʂ̏񋟂āAƂ̔n{߂̉ƌ悤ƂĂBƂŔނۗ悤Ƃʋyђ񋟂悤Ƃʂ́Aꂼꉍ̉iƁẢiŔނv悤Ƃ鉍̗ʂɈˑł낤BɈˑ邩B͂悤ƎvBîƂïwNgbg𓾂邽߂ɁÃ[wNgbg^邱ƂvƂAȂ킿łƂjA̐l͗~邾̉vł낤B΁AL؂̔nAێœƂɗ{ׂ؂̔n{ɏ[ȗʂvł낤B܂łȂނ́Aƌɏ^̂ł͂ȂBɉiɁmifig45210_014.pngjnƂƁiwNgbg𓾂邽߂ɁAmifig45210_014.pngjn^˂΂ȂʂƂƁjAނ͎ɂ̎vł낤Bi 1, 2, 5, 10iwNgbg𓾂邽߂ɏ 1, 2, 5, 10 ^˂΂ȂʂƂ΁jƂȂ΁Aނ͍Xɂ̎vł낤BĂ񂱂ƌɔނ鏬̗ʂ́Aނv鉍̗ʂƂ̉̉i̐ςɏɓBXɂ܂i 100 Ƃ悤ȍ̂ƂȂ΁iwNgbg̉𓾂邽 100 wNgbg̏^邱ƂvƂ΁jނ͏̉vȂ悤ɂȂBȂȂ炱̉iɂĂ͓񓪂̔n{Ȃł낤A܂{~ʂł낤B̂Ƃɂ́Aނ́Aɉ̏Ȃł낤Ƃ́A܂łȂB̂ɉ̗Lv́Aiɏ]ČB͉iɂĂ̂鐔Ɏn܂A鉿iɂėɏIBɑ鏬̗L͗납oAɑAőɒBAĂїɋAB
@܁Z@ׂ̂Ă̏L҂͂A܂̂珬ׂ̂Ă̏L҂݂̂Ȃ炸Ảׂ̂Ă̏L҂܂A̐Ƃ͂ȂƂĂAľXĂBʂɏiLĂ𑼂̏iƌ悤ƂĎsɌ҂́Aグ̌XĂB̌X͉\Iivirtuellejł邱ƂALieffectivejł邱Ƃ邪AɌ肹꓾ׂ̂łB
@iaj qbmubv͉tn ʂ̏LҁiPj\\ȉ㐔LŌĂԁ\\sɌÂ̂ obmubv͉tn āAvi`j damuav͉tn ʂƌƂ΁A
mSn
damuav͉tnvamuav͉tn=obmubv͉tnvbmubv͉tn
mŎIn
ɂAނ́i`j damuav͉tn ʂƁiaj́mifig45210_015.pngjnċAĂł낤BĂȂꍇɂA qbmubv͉tn, mifig45210_016.pngjn Ȃ킿 pamuav͉tn, damuav͉tn y y ̊Ԃɂ́AɎ̊֌WB
mSn
qbmubv͉tn=y+damuav͉tnpamuav͉tn
mŎIn
@qbmubv͉tn ̏L҂ qbmubv͉tn mĂ̂́A܂łȂBsɓĂ݂Ȃ΁Amifig45210_016.pngjnȂ킿 pamuav͉tn Ȃ̂ł邩m邱ƂoȂBǂɓ΁Am蓾ł낤ƂmłA܂ pamuav͉tn ̒lxmȂ΁Aނ͒ damuav͉tn ̒l߂邱ƂoAE̕ɂAy ̒lɌ肷邱ƂmłB
@qbmubv͉tn ̏L҂sɌꍇɂ́Aグ̌XLȂ炵߂ȂŁA\IȂ炵߂邱ƂoB̌tł΁Ai pamuav͉tn 肵Ɏď߂āAv damuav͉tn 肷邱ƂoB̏ꍇɂグ̌X͂񓭂B܂ႦΔނsɌ邱ƂoA闝RɂAFl܂͒lɎw}^Ƃ΁Aނ pamuav͉tn ̉\Ȓl납疳܂ŗ\zAɑ damuav͉tn ׂ̂Ă̒l肵A炩̕@ŕ\Ă˂΂ȂʁBƂŁAvZɏꂽlX͉E̎̐wI\Ȃ̂ɓ̕@̂mĂł낤B
m}ifig45210_017.pngjn
@܈@}ɂāA Op iƂAc Od vƂB_n牡ɂƂꂽ Opamuav͉tn', Opamuav͉tn'' cćAiajŕ\킵i`j̉iAႦΏŕ\킵̉\ȎX̉îƂB_ncɂƂ Oad,1mud,1v͉tn ́AiÔƂA܂́iaj̏L҂v鉍܂́i`j̗ʂ̂ƂB_ p'amuav͉tn, p''amuav͉tn ccʂĎvɕsāA̕s̏ɂ̓_ p'amuav͉tn, p''amuav͉tn ccƂ p'amuav͉tna'1mu1v͉tn, p''amuav͉tna''1mu1v͉tn ́Aꂼ p'amuav͉tn, p''amuav͉tn ̉iŎv鉍܂́i`j̗ʂB Oap,1mup,1v͉tn ͏܂́iaj̏L҂܂́i`j͂vȂł낤iB
@Ƃ΁Aiaj̏LҁiPĵグX́A􉽊wIɂ́A_ ad,1mud,1v͉tn, a'1mu1v͉tn, a''1mu1v͉tn c ap,1mup,1v͉tn ɂčȐ ad,1mud,1v͉tn ap,1mup,1v͉tn ɂA㐔Iɂ́A̋Ȑ̕
mSn
damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn)
mŎIn
ɂĕ\킳BȐ ad,1mud,1v͉tnap,1mup,1v͉tn ƕ damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn) Ƃ͌oɂēBlɂāAiaĵׂĂ̏LҁiQjAiRjcĉグ̌XA􉽊wIɂ͋Ȑ ad,2mud,2v͉tnap,2mup,2v͉tn, ad,3mud,3v͉tnap,3mup,3v͉tn ccɂA㐔Iɂ́A
mSn
damuav͉tn=fa,2mua,2v͉tn(pamuav͉tn),damuav͉tn=fa,3mua,3v͉tn(pmupv͒{ł́udvnamuav͉tn) cc
mŎIn
ɂĕ\킷ƂoB
m}ifig45210_018.pngjn
@ܓ@āAW̏ɂ邷ׂĂ̏cWāA΂̕IȐicourbes partiellesjad,1mud,1v͉tnap,1mup,1v͉tn, ad,2mud,2v͉tnap,2mup,2v͉tn, ad,3mud,3v͉tnmud,3v͒{ł́ud3vnap,3mup,3v͉tnmup,3v͒{ł́up3vn cv΁AȂ킿̉Wɂ邷ׂĂ̏cW΁AiaĵׂĂ̏L҂̂グ̌X􉽊wIɎSȐ Admudv͉tnApmupv͉tni}jBlɂׂĂ̕I΁Aグ̌X㐔IɎS
mSn
Damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn)+fa,2mua,2v͉tn(pamuav͉tn)+fa,3mua,3v͉tn(pamuav͉tn)+ c =Famuav͉tn(pamuav͉tn)
mŎIn
B́Aiajŕ\킵i`j̉i̔ƂẮi`j́iiaj𔽑΋tƂjvȐmuvȐvɖT_nicourbe de demandej܂͎vmuvvɖT_nike'quation de demandeljłBlɂāAi`jŕ\킵iaj̉i̔ƂẮiaj́ii`j𔽑΋tƂjvȐ܂͎vB
@ŁAIȐ ad,1mud,1v͉tnap,1mup,1v͉tn ܂͕I
mSn
damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn)
mŎIn
߂ƂA̕IȐyѕAłmuAłvɖT_nƁAȂ킿 pamuav͉tn ̖̑ damuav͉tn ̖̌𐶂߂邱ƂÂĂȂB۔΂ɁA̔͂΂ΕsAłBႦΉɂĂ΁ȀL҂̑l͉iMɏ]āA̎v̂ł͂ȂAɁAނ{ɂɎ{n悤ƂƂɁAfIɂ̎v̂łB̂ɔނ̕IvȐ́AۂɂẮAa _ʂKi`̋Ȑ̌`i}jƂ̂łBׂ̂Ă̐l̋ȐlłBSȐ Admudv͉tnApmupv͉tni}j́A吔̖@mu吔̖@vɖT_nɂāAقژAłƍlB܂ƂɁAi̋ɂ߂ďMNƂɂ́A̐lX̂炭l炢́A܂Ŏ{Ăn̂ꓪ悤ȋɌɗĂāAvł낤Ǎ͑Sv̋ɂ߂ďȂ镔̌ɉ߂Ȃł낤B
@܎O@̂悤ɂāAȐ Admudv͉tnApmupv͉tn ́Ai`j̉i̔ƂẮi`j̗LɎvʂBႦ Ammumv͉tn _̉W Opa,mmua,mv͉tn ɂĕ\킳鉿i pa,mmua,mv͉tn ɂLv́A_ Ammumv͉tn ̏cW ODa,mmua,mv͉tn ɂĕ\킳 Da,mmua,mv͉tn łBāiajĂi`j̗LvAi pa,mmua,mv͉tn łƂADa,mmua,mv͉tn ł΁Ai`jƌɒ񋟂iaj̗ĹÂƂŁA
mSn
Ob,mmub,mv͉tn=Da,mmua,mv͉tnpa,mmua,mv͉tnilܐ߁j
mŎIn
ƂȂB͏cW ODa,mmua,mv͉tn ƉW Opa,mmua,mv͉tn ɂč` ODa,mmua,mv͉tnAmmumv͉tnpa,mmua,mv͉tn ɂĕ\킳BȐ Admudv͉tnApmupv͉tn ́iajŕ\킵i`j̉i̔ƂẮi`j̎vƁiaj̋Ƃ𓯎ɎĂBlɋȐ Bdmudv͉tnBpmupv͉tn ́i`jŕ\킵iaj̉i̔ƂẮiaj̎vƁi`j̋Ƃ𓯎Ɏ̂łB
@܎l@iajL鑽҂̎蒆ɂĎsɌꂽʂ Qbmubv͉tn ƂA_ Qbmubv͉tn ʂȐAxy=Qbmubv͉tn Ƃ钼poȐłƂB pa,mmua,mv͉tnAmmumv͉tn ȂoȐƂ̌_ Qbmubv͉tn ܂ŉAȂ킿i̎ɕs Qbmubv͉tn B΋` OQbmubv͉tnpa,mmua,mv͉tn ̖ʐ Qbmubv͉tn ́As؁st炳ꂽiaj̑ʂ\킵A` ODa,mmua,mv͉tnAmmumv͉tnpa,mmua,mv͉tn ̖ʐ Da,mmua,mv͉tn pa,mmua,mv͉tn ́Ai pa,mmua,mv͉tn ɂāi`jƌɒ񋟂镔\킷B]ċ` Da,mmua,mv͉tnQbmubv͉tnAmmumv͉tn ̖ʐςxȂ킿
mSn
Qbmubv͉tn-Da,mmua,mv͉tnpa,mmua,mv͉tn
mŎIn
́Ai pa,mmua,mv͉tn ɂĎsꂩ玝ďL҂ۗł낤BʂɁAQbmubv͉tn, pamuav͉tn, Damuav͉tn yтx̊Ԃɂ́Å֌WB
mSn
Qbmubv͉tn=Y+Damuav͉tnpamuav͉tn
mŎIn
 xy=Qbmubv͉tn Ȃ킿 Qbmubv͉tn _ʂȐ́Aiaj̑ݗʂ\킷oȐł邩AAdmudv͉tnApmupv͉tn ́Aiajŕ\킵i`j̉i̔@stɂāÁiaj̗ʂAi`jƌɗ^ׂƕۗĂׂƂɕȐłBȐ Bdmudv͉tnBpmupv͉tn ƁA
mSn
xy=Qamuav͉tn
mŎIn
Ƃi`j̑ݗʂ̑oȐƂ̊ԂɂAl̊֌Ŵ͂łB
@܌܁@̂ɎvȐ́Aʂ̑oȐ̂ɕ܂ĂB܂̎vȐ͈ʂɍW؂A̎ƑQߐȂȂƂƂoB
@ʂɎvȐ́Av̎؂BȂȂ牿iɂĂlɂĎv邠鏤i̗ʂ́AʂɗLł邩BႦΉŗ^ƂAl͏\Al͕S̔n{邩ʁBނ͖̔n{ʂł낤A]Ėʂ̉vʂł낤BƂŉiɂv̑v͗Lʂ̍vł邩AꎩgLʂłB
@vȐ͈ʂɉi̎؂BۉiɒBȂĂ[ɍ΁A鏤i̖ʂlɂĂvȂ悤ɂȂł낤ƁAX͑zB̓_ɂĂ͐ΓIɂ͂ȂBiajȂ鉿iłłmuȂ鉿iłłvɖT_nS꓾āA]ĎvȐ Admudv͉tnApmupv͉tn  Qbmubv͉tn ʂoȐƍvꍇ蓾邵A܂iaj̈ꕔȂ鉿iłł꓾āA]ĎvȐ Admudv͉tnApmupv͉tn  Qbmubv͉tn ʂoȐ̓̑oȐƍvꍇ蓾Bˋ̉Ȃ悤ɁAvȐWƑݗʂ̑oȐƂ̊Ԃׂ̂Ă̒nʂƂ蓾ƍlĂB
@ܘZ@ĉX́A̏i̗LvƑ̏iŕ\킵̉iƂ̊Ԃ̒ړI֌WmA܂̊֌W̐wI\m蓾킯łB
@Ⴆ΁i`jiɂĂ΁Å֌W͊􉽊wIɂ́AȐ Admudv͉tnApmupv͉tn ɂA܂㐔Iɂ́A̋Ȑ̕
mSn
Damuav͉tn=Famuav͉tn(pamuav͉tn)
mŎIn
ɂĕ\킳iܓ߁jB
@iajiɂĂ΁Å֌ẂA􉽊wIɂ͋Ȑ Bdmudv͉tnBpmupv͉tn ɂA㐔Iɂ́A̋Ȑ̕
mSn
Dbmubv͉tn=Fbmubv͉tn(pbmubv͉tnmubv͒{ł͏tn)
mŎIn
ɂĕ\킳B
@̏AX́A鑼̏iƌɒ񋟂̏i̗LƁA҂ŕ\킵O҂̉iƂ̊ԂɑԐړI֌W̐m蓾킯łA܂̊֌W̐wI\m蓾킯łB
@Ⴆ΁i`jɂĂ΁Å֌ẂA􉽊wIɂ͋Ȑ Bdmudv͉tnBpmupv͉tn ŕ܂ꂽA̋`ɂA܂㐔Iɂ́A̋Ȑ̕
mSn
Oamuav͉tn=Dbmubv͉tnpbmubv͉tn=Fbmubv͉tn(pbmubv͉tn)pbmubv͉tn
mŎIn
ɂĕ\킳i܎O߁jB
@iajɂẮA͊􉽊wIɂ́AȐ Admudv͉tnApmupv͉tn ɕ܂ꂽA̋`ɂA㐔Iɂ́A
mSn
Obmubv͉tn=Damuav͉tnpamuav͉tn=Famuav͉tn(pamuav͉tn)pamuav͉tn
mŎIn
ɂĕ\킳B
@ƂŁA̕Aei̗LƑ̏iŕ\킵̏ỉiƂ̊֌W\킷𓱂oƂ͗eՂłBȂ킿̕ɂāAi pbmubv͉tn mifig45210_019.pngjnɂAi pamuav͉tn mifig45210_020.pngjnɂu΂悢BȂȂ pamuav͉tnpbmubv͉tn=1 ł邩B
@
mSn
mifig45210_021.pngjn
mŎIn
ƂȂB
@̗vfĎ́A񏤕ǐ̈ʓI\\񏤕imu񏤕ivɖT_ni`mu`vɖT_njAiamuavɖT_nj^mu^vɖT_nA܂񏤕i݂̎vȐ܂͂Ȑ̕^΁mu܂񏤕i݂̎vȐ܂͂Ȑ̕^΁vɖT_nAꂼ̋ύti͂ɒ܂邩̖muꂼ̋ύti͂ɒ܂邩̖vɖT_n\\AwIɉƂoB
@܎@􉽊wIɂ́ÁA̋Ȑ Admudv͉tnApmupv͉tn, Bdmudv͉tnBpmupv͉tn ̊ԂɁAꂼ̒Ӂi݂͌ɋtłjɋ` Odamuav͉tnApamuav͉tn, ODbmubv͉tnBpbmubv͉tn A̍ ODamuav͉tn ̖ʐ ODbmubv͉tn ~ Opbmubv͉tn ɓȂ悤ɁA܂΂ɂ̑̋`̍ ODamuav͉tn ̋`̖ʐ ODamuav͉tn ~ Opamuav͉tn ɓȂ悤ɂ邱ƂɂB̋`̒ Opamuav͉tn, Opbmubv͉tn ͋ύtiB̉îꂼɂāA ODamuav͉tn ɂĕ\킳i`j̎v́Aʐ ODamuav͉tn~Opamuav͉tn ɂĕ\킳iaj̋ɓłil߁jB
@ɗpue̋`̍̋`̖ʐςɓȂ悤ɁvƂ\́A\̂ł͂ȂB̏ꍇɂ͂̓KKvƂȂBȂȂӂ݂ɋt\킵Ă邱ƂAȐ̍\ɖ𗧂ʂȒP O1 ݂̑\zĂ邩B̒Pʂst킳߂悤Ƃ΁Ae`̍́A̋`̖ʐς\ĂPʐƓ̒Pʐ܂łƍl邩A܂͊e`̖ʐς́A̋`̍ƒӂ̒Pʂɂč`̖ʐςɓƍl˂΂ȂʁBƂł̖̗^ɂẮARAe`̒ӂ͍̔ɓA܂ʐς̔ɓ킯łB
@ܔ@㐔Iɂ́ÁA̕
mSn
Famuav͉tn(pamuav͉tn)=Fbmubv͉tn(pbmubv͉tn)pbmubv͉tn,@@pamuav͉tnpbmubv͉tn=1
mŎIn
ɂ̍ pamuav͉tn, pbmubv͉tn ߁A܂͓̕
mSn
Famuav͉tn(pamuav͉tn)pamuav͉tn=Fbmubv͉tn(pbmubv͉tn),@@pamuav͉tnpbmubv͉tn=1
mŎIn
ɂ̍ pamuav͉tn, pbmubv͉tn ߂邱ƂɂBXɂ΁ÁA
mSn
Damuav͉tn=Oamuav͉tn
mŎIn
\킷
mSn
mifig45210_022.pngjn
mŎIn
y
mSn
Obmubv͉tn=Dbmubv͉tn
mŎIn
\킷
mSn
mifig45210_023.pngjn
mŎIn
̓̍ pamuav͉tn, pbmubv͉tn ߂邱ƂɂB
@܋@Ȃ܂Ả@Ɍ邱ƂoBX͊ɋȐ
mSn
Damuav͉tn=Famuav͉tn(pamuav͉tnmuav͒{ł́ubvn),@@Dbmubv͉tn=Fbmubv͉tn(pbmubv͉tn)
mŎIn
mĂ邪A͂ꂼȐ Admudv͉tnApmupv͉tn, Bdmudv͉tnBpmupv͉tn łBȐ
mSn
mifig45210_024.pngjn
mŎIn
΁A͂ꂼȐ KLM, NPQ łāA̋Ȑ Admudv͉tnApmupv͉tn, Bdmudv͉tnBpmupv͉tn Ƃ̌_`yтáAɏqׂ`傤Ǘ^B
@̋Ȑ KLM, NPQ ͂Ȃ̂ł邩A}ɓ_ŕ\킳ꂽ̋Ȑ̍\̌`m邱Ƃ͗eՂłB
@܂Ȑ KLM ́i`j̋ȐłāAiaj̎vȐƍĂ͂ȂȂBȂȂiaj̎vȐ̍Wɂč`̖ʐς́Ai pbmubv͉tn ̔ƂẮi`j̋Ă̂ɔAi`j̋Ȑ̏cW̒́Ai pamuav͉tn ̔ƂẮi`j̋Ă邩B
@̋Ȑ́Aiajŕ\킵i`j̉iłƂȂ킿i`jŕ\킵iaj̉iłƂA̒loA]ĉi̎ɑQߐȂBẮA_ɋ߂Âɏ]AȂ킿iajŕ\킵i`j̉iɏ]AȂ킿i`jŕ\킵iaj̉iɏ]āAAɍō_kɒBB̓_̉ẂAȐ Bdmudv͉tnBpmupv͉tn ɕ܂`̖ʐςőȂ炵߂ Bmmumv͉tn _̉W Opb,mmub,mv͉tn ɂĕ\킳 pb,mmub,mv͉tn Ȃ킿i`jŕ\킵iaj̉i̋tAȂ킿iajŕ\킵i`j̉iĂBɂ̋Ȑ́A_ɋ߂Âɏ]AɗƂȂBꂪƂȂ̂́AȐ Bdmudv͉tnBpmupv͉tn i̎؂ Bpmupv͉tn _̉W OBpmupv͉tn ɂĕ\킳i`jŕ\킵iaj̉i̋tɂĂłAȂ킿 OK Ŏiajŕ\킵i`j̉iɂĂłB
@lɋȐ NPQ ́iaj̋ȐłāAi`j̎vȐƍĂ͂ȂȂBi`j̎vȐ̍Wɂč`̖ʐς́Ai pamuav͉tn ̔ƂẮiaj̋Ă̂ɔAiaj̋Ȑ̏cW̒́Ai pbmubv͉tn ̔ƂẮiaj̋ĂB
@̋Ȑ́Ai`jŕ\킵iaj̉iłƂȂ킿iajŕ\킵i`j̉iłƂA̒loA]ĉi̎ɑQߐȂBẮA_ɋ߂Âɏ]AȂ킿i`jŕ\킵iaj̉iɏ]AȂ킿iajŕ\킵i`j̉i傷ɏ]AAɍō_oɒBB̓_̉ẂAȐ Admudv͉tnApmupv͉tn ɕ܂ꂽ`̖ʐςőȂ炵߂ Ammumv͉tn _̉W Opa,mmua,mv͉tn ɂĕ\킳 pa,mmua,mv͉tn ̋tȂ킿iajŕ\킵i`j̉iBɂ̋Ȑ́A_ɋ߂Âɏ]AAɗƂȂBꂪƂȂ_́AȐ Admudv͉tnApmupv͉tn i̎؂ Apmupv͉tn _̉W OApmupv͉tn ɂĕ\킳iajŕ\킵i`j̉i̋tɂĂłBȂ킿 ON ɂĎi`jŕ\킵iaj̉iɂĂłB
@܂łȂAȐ KLM, NPQ ̌`͑SȐ Bdmudv͉tnBpmupv͉tn, Admudv͉tnApmupv͉tn ̌`b@stɂBBdmudv͉tnBpmupv͉tn, Admudv͉tnApmupv͉tn }Ɏꂽ̂Ƃ͈قĂƂ΁AKLM, NPQ ܂Sق̂ƂȂł낤B͂ƂɂAɗ^ꂽɂẮAȐ Bdmudv͉tnBpmupv͉tn ͍ő`_ Bmmumv͉tn ߂AāA_ NPQ Ɍ̂ł邪Ǎ_́ANPQ 납ō_oɌď鏊ɂB]āAȐ Admudv͉tnApmupv͉tn ܂AƂAő`_ Ammumv͉tn ʂȑOɓ_ KLM Ɍ̂ł邪Ǎ_́A̋Ȑ̍ō_kɉ鏊ɂB
@ZZ@A`_ɂēȐ Admudv͉tnApmupv͉tn, KLM ƂA̓_̉EɂĂ͋Ȑ Admudv͉tnApmupv͉tn ͋Ȑ KLM 菬łAɂĂ͂ł邱Ƃ炩łB܂a_ɂēȐ Bdmudv͉tnBpmupv͉tn, NPQ Ƃ΁A̓_̉EɂẮAȐ Bdmudv͉tnBpmupv͉tn ͋Ȑ NPQ 菬łAɂĂ͂ł邱Ƃ炩łB
@ƂŁAimifig45210_025.pngjńAɂāADamuav͉tn=Oamuav͉tn, Dbmubv͉tn=Obmubv͉tn Ȃ炵߂鉿ił邩Apamuav͉tn Ȃ邷ׂẮiajŕ\킵i`j̉iɂẮAȂ킿 pbmubv͉tn 菬Ȃ邷ׂẮi`jŕ\킵iaj̉iɂẮAOamuav͉tn>Damuav͉tn łADbmubv͉tn>Obmubv͉tn łB΂ pamuav͉tn 菬Ȃ邷ׂẮiajŕ\킵i`j̉iɂẮAȂ킿 pbmubv͉tn Ȃi`jŕ\킵iaj̉iɂẮADamuav͉tn>Oamuav͉tn łA Obmubv͉tn>Dbmubv͉tn łBȌꍇɂ pbmubv͉tn ̍Ȃ킿 pamuav͉tn ̉~ɂĂAύti꓾ȂȀꍇɂ pamuav͉tn ̍Ȃ킿 pbmubv͉tn ̉ɂĂAύti͌꓾ȂB
@ŁA񏤕i݂̊Ԃ̌ɂLv̖@muLv̖@vɖT_niloi de l'offre et de la demande effectivesjȂ킿ύti̖@muύti̖@vɖT_nikloi d'e'stablissement d'e'quilibreljÂ悤ɕ\邱ƂoB\\񏤕i^mu񏤕i^vɖT_nAɂĎs̋ύtȂ킿ꂼ̏iŕ\킵̉i̐Î~Ԃ蓾邽߂ɂ́muɂĎs̋ύtȂ킿ꂼ̏iŕ\킵̉i̐Î~Ԃ蓾邽߂ɂ́vɖT_nA񏤕i̊eX̗Lv̗LɓƂKvƂmu񏤕i̊eX̗Lv̗LɓƂKvƂvɖT_nA܂ꂾ̏[邾ŏ[łmu܂ꂾ̏[邾ŏ[łvɖT_nB̋ϓ݂ȂƂƁműϓ݂ȂƂƁvɖT_nAύtiɒB邽߂ɂ́muύtiɒB邽߂ɂ́vɖT_nALvLȂ鏤ỉi˂΂ȂʂmuLvLȂ鏤ỉi˂΂ȂʂvɖT_nALLvȂ鏤i˂΂ȂʁmuLLvȂ鏤i˂΂ȂʁvɖT_nB
@̖@́AɎ̎š̂ŕ\悤Ǝ݂̂ł邪il߁jǍȏؖKvłil߁jB
@Z@X͍Asɂ鋣̋@\Ȃ̂ł邩A悭stBۂɂẮ̖Ai̍yщɂĉĂBɎ̂́A̖̐wIA_I@łB̖ړIAۂ̉ɁẢ@u悤Ƃɂ̂ł͂Ȃ̂́A܂łȂBۂ̉́AzʂɁAvłAmłBႦΑsł́Al₹蔄lȂĂA̎X̋ύti͐̊ԂɌ肵AOl\̊Ԃɋz̏iBɔA_I@́AقƂǂׂĂ̏ꍇɁAs̂łB̂ɁA̋Ȑst܂͂̕邱Ƃ͍łƂ̂́ÂȂɉ悤Ƃ҂łB鏤i̎v܂͋Ȑ̑S܂͈ꕔāAꍇɗv邩ۂA̋Ȑ邱Ƃ\ł邩ۂA͂ɖ₨Ƃ邱Ƃł͂ȂB͂̈ʓÎłāAXɂƂẮAȐ̏ȒۓIȊTOΏ[Ȃ̂łAɂ̔cׂ炴̂Ȃ̂łB
my[Wn

@@@@掵́@񏤕i݂̊Ԃɍs̖̉@̋ᖡ

mWn
vځ@ZAZO@ȐB̋ɑɂĘAłꍇɘ_cǌBZl@Ȑ͎vȐƌȂƂ蓾B̏ꍇi͐ȂBZ܁@Ȑ͎vȐƎO_ɂČ邱Ƃ蓾B̏ꍇO̉i蓾BZZAZAZ@̓̋ύti͈łA̋ύti͕słBZ@̎vȐ̓ݗʂ̑oȐƈvꍇBZ@vꍇB
mŎIn

@Z@ȏqׂĂv񂷂΁A񏤕ii`jAiaj^A̗LvƉiƂ̊֌WA
mSn
Damuav͉tn=Famuav͉tn(pamuav͉tn),@Dbmubv͉tn=Fbmubv͉tn(pbmubv͉tn)
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ɂĕ\킳ƂƁAύti͕
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Damuav͉tnvamuav͉tn=Dbmubv͉tnvbmubv͉tn
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ɂēB Damuav͉tn, Dbmubv͉tn ɂ̒l΁Aύti͕
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Famuav͉tn(pamuav͉tn)vamuav͉tn=Fbmubv͉tn(pbmubv͉tn)vbmubv͉tn
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ɂēBApamuav͉tn ߂悤ƂȂ΁AXɉÉ̕mPň`Ƃ邱ƂoA܂ pbmubv͉tn ߂悤ƂȂ΁AmQň`Ƃ邱ƂoB
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mifig45210_026.pngjn
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O҂ Damuav͉tn=Oamuav͉tn \킵A҂ Obmubv͉tn=Dbmubv͉tn \킷B
@́A̌`̕AȐ
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mifig45210_027.pngjn
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̌_ɂA܂͋Ȑ
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mifig45210_028.pngjn
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̌_ɂĉi܋߁jB̉@ᖡ悤ƎvB
@ZO@ǂ́A\ȂꍇɂẲ@ᖡ̂ł͂ȂBꍇɂẲ@ᖡ̂́A̎vA܂͂̋@ł͂ȂB}Ɋւ悤ȋɂ߂ĊȒPȈʓIꍇ݂̂ᖡB}ɂẮÁAȐ Admudv͉tnApmupv͉tn, Bdmudv͉tnBpmupv͉tn AłƍlA܂
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Damuav͉tn=OAdmudv͉tn, pamuav͉tn=0 Ȃ_
pamuav͉tn=OApmupv͉tn, Damuav͉tn=0 Ȃ_Ƃ̊ԂɁAy
Dbmubv͉tn=OBdmudv͉tn, pbmubv͉tn=0 Ȃ_
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@@@@pbmubv͉tn=OBpmupv͉tn, Dbmubv͉tn=0 Ȃ_Ƃ̊ԂɁAȐ̂ꂼ̍Wɂč` Damuav͉tnpamuav͉tn, Dbmubv͉tnpbmubv͉tn ɑ͂ꂼꂽłƍlĂB݂̂Ȃ炸}ɂẮA̍Wp̂Ɋ܂܂Ȑ̕Åp̂łA_ Admudv͉tn  Apmupv͉tn Ƃ̊ԂɊ܂܂ꂽȐ̕ƁA_ Bdmudv͉tn  Bpmupv͉tn Ƃ̊ԂɊ܂܂ꂽȐ̕Ƃl@΂悢̂łB񂱂̂Ƃ͌Ƃ̐㓖RɏoĂB̉ɂẮAȐ KLM, NPQ ͘AȐłÂꂼ̍Wɂč`̖ʐς́A̋ɑɉ߂ȂB肹ꂽꍇɂĂᖡׂ肪B
@Zl@̐_ł́A Admudv͉tnApmupv͉tn y KLMA Bdmudv͉tnBpmupv͉tn y NPQ ́AꂼB_`yтaɂĂȂƍlꂽBǂ܂̋Ȑ͂ǂłȂꍇ蓾邱Ƃ𒍈ӂׂłB܂ƂɁAȐ Bdmudv͉tnBpmupv͉tn m_̎OɈʂ_ɂĉi̎ɒBƂ΁A͋Ȑ NPQ Ƃ͌ȂB̏ꍇɂ͋Ȑ KLM  Apmupv͉tn __ɂĉi̎AȐ Admudv͉tnApmupv͉tn ɂ͌ȂB]Ė͂̏ꍇɂ͉ȂB
@̂Ƃ͋ɑȂB̏ꍇ́Aiaĵ̏L҂i`ĵPɑ΂āiaj Apmupv͉tn AȂ킿i`j́mifig45210_029.pngjnɑ΂iaĵPA^邱Ƃ~ȂꍇłAʂ炢΁Ai`ĵ̏L҂iaĵPɑ΂Ai`j́mifig45210_029.pngjnAȂ킿iaj Apmupv͉tn ɑ΂i`ĵPA^悤Ɨ~ȂꍇłB̏ꍇ̂グAsɑ΂̉e𐶂ߓȂ͖̂炩łBiajŕ\킵i`j̉iƂ Apmupv͉tn ȉ̉iȂ킿i`jŕ\킵iaj̉iƂāmifig45210_029.pngjnȏ̉i𐬗߂΁Ai`j̎v҂Ȃ킿iaj̋҂͂ł낤Aiaj̎v҂Ȃ킿i`j̋҂͂Ȃł낤BĂ܂i`jŕ\킵iaj̉iƂāmifig45210_029.pngjnȉ̉i΁AȂ킿iajŕ\킵i`j̉iƂ Apmupv͉tn ȏ̉i𐬗߂΁Aiaj̎v҂Ȃ킿i`j̋҂͂ł낤Ai`j̎v҂Ȃ킿iaj̋҂͂Ȃł낤B
@Z܁@ɁAȐ̌`𒍈ӂĊώ@΁AȐ̊Ԃɑ̌_ꍇ蓾邱ƂB܂Ƃɂ񏤕ii`jAiajɂāAiajĂi`j̎vȐ Admudv͉tnApmupv͉tn Ai`jĂiaj̎vȐ Bdmudv͉tn'Bpmupv͉tn' Ƃ΁A̋Ȑ Bdmudv͉tn'Bpmupv͉tn' ͋Ȑ NPQ ƎO̓_ B, B', B'' ɂČł낤B̏ꍇɂ́Aiajƌi`j̋Ȑ KLM ́AȐ K'L'M' ƂȂ̂łāA͎O̓_ A, A', A'' ɂċȐ Admudv͉tnApmupv͉tn Ɍł낤BA, A', A'' ͂ꂼ B, B', B'' _ɑΉB̏ꍇɂ͓񏤕ii`jAiaj݂̖̑̌ɎO̉蓾BȂȂȐ Admudv͉tnApmupv͉tn, Bdmudv͉tn'B'pmupv͉tn ɕ܂Č݂ɋtłӂ݂ɑ̖ʐςɓ̋`̎Og蓾邩łBO̉́Ảl̂ł낤B
@ZZ@O̑ĝA܂A_ A'  B' ̑gAyѓ_ A'' Ɠ_ B'' ̑g΁ÁA̉蓾Ȃꍇɂ_`yтȃgƓl̏Ԃɂ邱ƂiZZ߁jBȐ Admudv͉tnApmupv͉tn  A' _Ȃ킿Ȑ Admudv͉tnApmupv͉tn,K'L'M'mu'v͒{ł͉tn ̌_̉Eł邩܂͍ł邩ɂAȐ K'L'M' 菬ł邩܂͑łBlɋȐ B'dmudv͉tnB'pmupv͉tn ́AB' _Ȃ킿Ȑ B'dmudv͉tnB'pmupv͉tn  NPQ Ƃ_̉Eł邩܂͍ł邩ɂAȐ NPQ 菬ł邩܂͑łB܂Ȑ Admudv͉tnApmupv͉tn ́A A'' _̉Eł邩܂͍ł邩ɂȐ K'L'M' 菬ł邩܂͑łBlɂ܂Ȑ B'dmudv͉tnB'pmupv͉tn ́AB'' _̉Eł邩܂͍ł邩ɂAȐ NPQmuNPQv͒{ł́uNRQvn 菬ł邩܂͑łB
@̏ꍇɂẮAύt_̔ޕɂāAi̋͂̎v𒴂AỉȂ킿ύt_ւ̕A𐶂B܂ύt_̍ɂāAi̎v͂̋𒴂Ai̓MȂ킿ύt_ւ̑OiB炱̋ύtÁAɂdS̏Ɍ݁s񂿂傤t_L镨̂Aォ痣ƂAd͂ɂĎύt_ɗt̋ύtɁAׂ邱ƂoB̋ύt͈ύtmuύtvɖT_nike'quilibre stableljłB
@Z@_ A, B ͓lł͂ȂB`_̉EɂĂ͋Ȑ Admudv͉tnApmupv͉tn ͋Ȑ K'L'M' łAɂĂ͏łBlɂa_̉EɂẮAȐ B'dmudv͉tnB'pmupv͉tn ͋Ȑ NPQ łAɂĂ͂菬łB炱̏ꍇɂ́Aύt_̔ޕstɂāAi̎v͂̋łāA͉i̓M𐶂߂B΁Aύt_𗣂ꂵ߂BĂ̏ꍇɂ܂ύt_̍stɂẮAi̋͂̎vłA͉ỉ𐶂߂BȂ킿ύt_𗣂ꂵ߂B̂ɂ̋ύt́Ax_c̏dS艺ɂ镨̂̋ύtɔ䂷ׂ̂ŁAdSc𗣂ƂƁA܂܂Ax_̉ɒûłȂ΁Ad͂ɂĂ͕AȂB͕sύtmusύtvɖT_nike'quilibre instableljłB
@Z@̂Ɏ̂ƂAA', B' ̑g A'', B'' ̑gƂ̖̓̉@𐬂̂łAA, B ̑ǵA̉@̊eX̂ꂼ̗̈̕_ƋɌƂɉ߂ȂBpbmubv͉tn=ʂ̔ޕł́Ai`jŕ\킵iaj̉íAύti p''bmubv͉tn Ȃ킿 B'' _̉Wɋ߂ÂĂB̍ł́Ai p'bmubv͉tn Ȃ킿 B' _̉Wɋ߂ÂĂBƑ֓IɁAmifig45210_030.pngjn̍ɂẮAiajŕ\킵i`j̉íAύti p''amuav͉tn Ȃ킿 A'' ̉Wɋ߂ÂĂB̔ޕɂẮÁAi p'amuav͉tn Ȃ킿 A' _̉Wɋ߂ÂĂB
@eՂɔFߓ悤ɁA̎́Ai̐ɂAiajŕ\킵i`j̉iƂvȂʂ́i`jAi`jŕ\킵iaj̉iȂƂv鏬Ȃʂ́iajɓł蓾ƓɁA܂iajŕ\킵i`j̉iȂƂv鏬Ȃʂ́i`jAi`jŕ\킵iaj̉iȂƂvȂʂ́iajɓƂȂ蓾ꍇɌBł肪Aiajŕ\킵i`j̉ȉȂ̂ƁAi`jŕ\킵iaj̉ȋȂ̂ƂĎn܂邩A܂́i`jŕ\킵iaj̉ȉȂ̂ƁAiajŕ\킵i`j̉ȋȂ̂ƂĎn܂邩ɏ]A̋ύt̑ɏI邩܂͑ɏI邱ƂƂȂ̂łB̏ilړx܂͉ݕ̒ɂ݂ɌꍇɂAȂ̎\ł邩ۂB͌ɂl@悤B
@Z@ȏ̌ɂẮAvȐ Admudv͉tnApmupv͉tn, Bdmudv͉tnBpmupv͉tn, B'dmudv͉tnBpmupv͉tn' ͓̍W؂Ɖ肹ĂBǂvȐݗʂ̑oȐƈvA̍WɑQߐȂɒ[ȏꍇ˂΂ȂʁB
@Ⴆ Admudv͉tnApmupv͉tn oȐ Damuav͉tnpamuav͉tn=Qbmubv͉tn ƈvAiaj͂鉿iɂĂׂċƂƁAkPĺA
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mifig45210_031.pngjn
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ƂȂB͓_ Qbmubv͉tn ʂȐƋȐ KLM Ƃ_ amuav͉tn ɂČ邱ƂB
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mifig45210_032.pngjn@Ȃ킿@pamuav͉tn=
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Ȃꍇ̉lOɒuB
@āAkQĺA
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Qbmubv͉tn=Fbmubv͉tn(pbmubv͉tn)
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ƂȂB́AȐ Bdmudv͉tnBpmupv͉tn ƁAON'=Qbmubv͉tn ̋ۂĉi̎ɕsɈ N'P'Q' Ƃ̌_ bmubv͉tn ɂ邱ƂB
@Z@ŌɁA񏤕iׂẲiŋƂ΁A
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mifig45210_033.pngjn
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ƂȂׂA pamuav͉tn,pbmubv͉tn ̂悤ȒlƂȂ炵߂ł낤B
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mifig45210_034.pngjn
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A̍Ō̏ꍇɂ́A񏤕i͏ɒPɑݗʂɔႵČBȂ킿̕ɏ]ČB
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Qamuav͉tnvamuav͉tn=Qbmubv͉tnvbmubv͉tn
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ėeՂɔFߓ悤ɁAݗʂƌʂƂ̂́A񏤕i̗LvƗLƂƂ\킵ĂB
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@@@@攪́@pȐ܂͗~]ȐBi̗p̍ő̖@

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vځ@@IvȐ̏o_肷鎖BOpB@X΂ƓB_肷鎖BxpBO@Lʂ̉eBl@p܂͗~]̑Pʂ̉BpȐ܂͗~]Ȑ̍\B܁@͗LpyыHLʂ̔Ƃĕ\ȐłBZ@͗~]̍ő喞̌nsB@a̗ Obmubv͉tn Ƃ`̗ damuav͉tn Ƃ̌́AɂĂ`̋HƂa̋HƂ̔䂪i pamuav͉tn ɓƂɗLłBA@̌ Obmubv͉tn y damuav͉tn 菬Ȃ邩܂͑Ȃ鑼ׂ̂Ă̓񏤕ǐLłBZ@̋H̔䂪iɓƂɁA~]̍ő喞B@ő喞̏瓱oꂽvȐ̕B@ɂ@BOAl@~]ȐsȀꍇB
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@@܂ł́A̎̐ɂČĂǍɂA܂̎̌̌\ƂȂBۂiv̋Ȑ琔wIɏoĂƂ΁AvȐ̐yѕω̑ꌴƏƂ́A܂i̐yѕω̑ꌴƏłׂłB
@̂ɍAIvȐႦ΁iaj̏LҁiPj́i`j̑΂邹グ̌X􉽊wIɎ ad,1mud,1v͉tnap,1mup,1v͉tni}ji܈߁jɗԂA܂̋Ȑv̎𗣂Ă䂭_ ad,1mud,1v͉tn ̈ʒu肷鎖l@Ă݂B Oad,1mud,1v͉tn ́iaj̏LҁiPji`jẢiłƂɁALɎvʂȂ킿̏iŗ^Ƃɂ̐lɂďʂB̗ʂ͈ʂɉɂČ肹邩B́Ai̗p̈łĎŊOpmuOpvɖT_nikutilite' d'extensionl ܂ kutilite' extensiveljƌĂԏ̂̂ɂČ肹BŊOpƂp̂́A̗pLނ̕yɂď[~]̕ՐƐʂƂA̗~]lX̑yъ鋭x̑召ɂČ肹邩łBꌾł΁Al̂߂ɉ̋]񋟂KvƂ΁Ȁꍇɂ̏iʂɏ邩܂͏ʂȂAOpłBƂŁi`j̊Oṕi`j̎vȐɂe^ȂƂӖŁA܂lɁiaj̊Oṕiaj̎vȐɂe^ȂƂӖŁȂ̎͊ȒPłAΓIłBOp͉iɂĎvʂł邩vʏo傢łƂӖɂāȂ̎͌vʂ̂łB
@@Op͗pׂ̂Ăł͂ȂB͂̈qɉ߂ȂB̂قɁAȐ ad,1mud,1v͉tnap,1mup,1v͉tn ̌X΂肷鎖ƁA̋Ȑi̎ɒB_ ap,1mup,1v͉tn ̈ʒu肷鎖Ƃ΁Aɖ炩ɂȂĂ鑼̗pBƂŋȐ̌X΂͓̗ʂȂ킿ȋƂ̑ɂĎ䂫Nv̌Ƃ̔ɑȂȂB͈̔ʂɉɈˑ邩B͎xpmuxpvɖT_nikutilite' d'intensite'l ܂ kutilite' intensiveljƖ闘p̈Ɉˑ̂łB̗pxpƖ闝ŔA̗pLxɂĖ~]Aîɂ炸A̐lX̊Ԃɑ邩܂͏̐lX̊Ԃɑ邩A܂elɂĂ݂͋邩܂͎キ݂邩ɂāA̗p̂ł邩܂͎ア̂ł邩炩ɂȂ邩łBꌾł΁Ȁil邽߂ɕ]̒xAȉʂ̑召ɉếAxp̌ʂłB̎́AOpƈقAi`j̎vȐ̌X΂Aiaj̎vȐƓAi`j̋xpyсiaj̋xp̑oɂČ肹ƂӖɂĕGłAΓIłBvȐ̌X΂Av̌̉ȋɑ΂̋Ɍmuv̌̉ȋɑ΂̋ɌvɖT_nkҒAviɂWl\\͐wIɌ肷邱Ƃ̏o鎖ł邪\\ƒ`΁A͓񏤕i̗p̋x̕GȊ֌WɑȂȂƂƂɂȂB
@O@Ȃi`j̎vȐ ad,1mud,1v͉tnap,1mup,1v͉tn ̌X΂ɉeL鑼̎B́iajȉLҁiPj̎蒆ɑ݂iaj̗ qbmubv͉tn łBʂɕIv̋ȐIݗʂ̑oȐ菬̂́Av̋ȐSʂ̑oȐ菬@łB̂ɕʂ̑oȐ_ɋ߂ÂA܂͌_𗣂ω邩ɏ]āAIv̋ȐƓlɕωAxp̕ω̌ʂƂČ悤ɌB̏ꍇɂ邱̕KRI֌WA}͒ɎĂB
@l@͕͂̕sSłȂAꌩȏɂ͂̕w[i߂邱Ƃ͕s\̂悤ɌBȂȂΓIxṕAOpyяLʂƈقAԂɂ܂ԂɂAڂ̂vʂ֌WLȂ߁A肵ȂƂ邩łBǂ͉̍zȂ̂ł͂ȂB́AÊ悤Ȋ֌W݂Ɖ肵AOpAxpAyяLʂꂼꉿiɋyڂe𐳊mɐwIɐ悤ƎvB
m}ifig45210_035.pngjn
@̂Ɏ́A~]̋xȂ킿xpvʂ鏊́Aނ̕xׂ̂Ă̒Pʂɂ݂̂Ȃ炸ނ̕xׂ̂Ă̒PʂɋʂȎړx݂̑肷Bc Oq  Or ̍WłƂiO}jBc Oq ɁA_ O 珇ɒ Oq', q'q'', q''q''', ccƂAāAiaj̏LҁiPj猻ɂLƂ΁A鎞Ԃ̂ɏɏĂł낤̒Pʐ\킳߂BOpyыxṕA̎ԒAe҂ɑ΂łmułvɖT_nƉ肷BɂāApƂ\̂ɁA͎ԂÖق̂ɂĂɎ~߂邱ƂoB΂ɁApԂ̔Ƃĕω̂łƉ肷ƁA̒ɎԂIɌĂȂ΂ȂʁB̏ꍇɂ͌oϐÑԂ𗣂āAԁidynamiquejɓ邱ƂɂȂB
@Ƃł珇̒Pʂ́ALҁiPjɑ΂A[v̍ł~][ׂ̒PʂAΖO߂悤ȍŏI̒Pʂ܂ŁAɋĂxp̂łāA͂̌𐔊wŕ\Ȃ΂ȂʁBiiajAႦΉƋAߕ̂悤ɁARɒPʂƂ΁A Or ̏Ayѓ_ q', q'' ccʂĉɕsȐ̏ɁA_yт q', q'' 璷 Or,1mur,1v͉tn, q'r'', q''r''' ƂAłꂼA炪\킷Pʂ̋xp\킳߂B܂` Oq'R'r,1mur,1v͉tn, q'q''R''r'', q''q'''R'''r''' B悤ɂāAȐ r,1mur,1v͉tnR'r''R''r'''R''' 𓾂B̋Ȑ͘Ał͂ȂB΂ɂiajAႦΐHî悤ɁAʂƂƁAp̋x́APʂ玟̒PʂւƁÂ݂łȂAePʂ̑ꕔŌ̕܂ŏɌAsAȐ r,1mur,1v͉tnR'r''R''r'''R''' ͘AȐ r,1mur,1v͉tnr''r''' c q,1muq,1v͉tn ɕωBlɂāAi`jɂċȐ muv͒{ł́uavnr,1mur,1v͉tnmuv͒{ł́uavnq,1muq,1v͉tn 𓾂邱ƂoBȐsAȏꍇƓAAȏꍇɂAp̋x͑Pʂ܂͂̒Pʂ̑ꕔ̋xAŌ̒Pʂ܂͂̒Pʂ̍Ō̋̕x܂ŁA鎖F߂B
@ Oq,1muq,1v͉tn, Oq,1muq,1v͉tn ́ALҁiPjɑ΂iiajyсi`jOpȂ킿LҁiPjiiajyсi`jɂĂ~]̊OBʐ Oq,1muq,1v͉tnr,1mur,1v͉tn,Oq,1muq,1v͉tnr,1mur,1v͉tn ́Aiiajyсi`jLҁiPjɑ΂Ă\Ipmu\IpvɖT_nikutilite's virtuellesljȂ킿LҁiPjiiajyсi`jɂĂ~]̊Oyыx̍vB̂ɋȐ r,1mur,1v͉tnq,1muq,1v͉tn,r,1mur,1v͉tnq,1muq,1v͉tn ́ALҁiPjɂAiajyсi`j̗pȐmupȐvɖT_nikcourbes d'utilite'slj܂͗~]Ȑmu~]ȐvɖT_nicourbes de besoinsjBꂾł͂ȂB̋Ȑ͂܂ʂ̐ĂB
@܁@鏤ȉꂽʂɂAOɂĂ܂xɂāA[ꂽ~]̍vLpmuLpvɖT_nikutilite' effectiveljƌĂׂ΁AȐ r,1mur,1v͉tnq,1muq,1v͉tn ́Aiaj̏ʂ̔ƂĂ̂̐lɑ΂Lp̋ȐBႦΒ Oqbmubv͉tn ɂĕ\킳 qbmubv͉tn ̂̐lɑ΂Lp͖ʐ Oqbmubv͉tnσr,1mur,1v͉tn ɂĕ\킳Bďȉꂽʂɂď[Ō̗~]̋xHmuHvɖT_nikrarete'ljƌĂׂ΁AȐ r,1mur,1v͉tnq,1muq,1v͉tn ́iaj̏ʂ̔ƂĂ̂̏L҂ɑ΂H̋ȐmuH̋ȐvɖT_nikcourbe de rarete'ljƂȂł낤B璷 Oqbmubv͉tn ɂĕ\킳 qbmubv͉tn ̋H́A
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qbmubv͉tn=Obmubv͉tn
mŎIn
ɂĕ\킳 bmubv͉tn łBlɋȐ ar,1mur,1v͉tnaq,1muq,1v͉tn ́i`j̏ʂ̔ƂĂ̗Lp̋Ȑ܂͋HȐB̂ɉyяcAꂼH̎muH̎vɖT_nikaxe des rarete'sljAʂ̎muʂ̎vɖT_nikaxe des quantite'sljƌĂԂƂo킯łBJԂĂAH͏LʂƂɑ̂łA̋t܂^ł邱ƂAX͔F߂˂΂ȂʁB
@㐔Iɂ́ALṕAʂ̔ƂāA
mSn
u=a,1mua,1v͉tn(q),u=b,1mub,1v͉tn(q)
mŎIn
ɂė^AH͂̔W 'a,1mua,1v͉tn(q), 'b,1mub,1v͉tn(q) ɂė^B܂HAʂ̔ƂāA
mSn
r=a,1mua,1v͉tn(q),r=b,1mub,1v͉tn(q)
mŎIn
ɂĕ\킹΁ALp 0  q ܂ł̒ϕ
mSn
mifig45210_036.pngjn
mŎIn
ɂė^B̂ u  r ̂ꂼ̕\ɂ́Å֌WB
mSn
mifig45210_037.pngjn
mŎIn
@Z@悤ɂāAiaj̏LҁiPjɑ΂i`j̊OpyыxṕA􉽊wIɂ́AAȐ r,1mur,1v͉tnq,1muq,1v͉tn ɂA㐔Iɂ́A̋Ȑ̕
mSn
r=a,1mua,1v͉tn(q)
mŎIn
ɂĕ\킳A̓L҂ɑ΂iaj̊OpyыxṕA􉽊wIɂ́AAȐ r,1mur,1v͉tnq,1muq,1v͉tn ɂA㐔Iɂ́A̋Ȑ̕
mSn
r=b,1mub,1v͉tn(q)
mŎIn
ɂĕ\킳BĒ Oqbmubv͉tn ɂĕ\킳 qbmubv͉tn ́ȀL҂Liaj̗ʂł邪A鉿iꂽƂȀL҂i`jɑ΂Ăv͂Ȃ̂ł邩B𐳊mɂ邩ۂ悤ƎvB
@~]Ȑ@тɂ̋ȐƂF߂ꂽ̋Ȑ̐疾炩ł悤ɁA̐liaj qbmubv͉tn ʂLÂׂĂƂ΁Aʐ Oqbmubv͉tnσr,1mur,1v͉tn ɂĕ\킳~]̍vʂB̐ĺAʂɁÂׂĂȂł낤BȂȂʂɁA̐l͎L邱̏îꕔ݂̂A̕As̉iŁAi`ĵʂƌāA葽vʂ̗~]𖞑邩łBႦ΁iajŕ\킵i`j̉i pamuav͉tn łƂAOy ŕ\킳 y Pʐ́iaĵ݂cAyqbmubv͉tn ɂĕ\킳镔Ȃ킿
mSn
obmubv͉tn=qbmubv͉tnmuqbv͒{ł́uqqvn-y
mŎIn
AOdamuav͉tn ɂĕ\킳 damuav͉tn Pʐ́i`jƌ΁ǍĺA̖ʐ Oyr,1mur,1v͉tn y Odamuav͉tnr,1mur,1v͉tn ɂĕ\킳~]̍v𖞑邱ƂoA̗ʂ͐̍vʂƂȂ邱Ƃ蓾BsɓĂ̌l͏o葽̗~]̍vʂ𖞑悤ƂƉ肵Ă݂ƁApamuav͉tn ^Ă̂ł邩Adamuav͉tn ́A̖ʐ Oyr,1mur,1v͉tn,Odamuav͉tnr,1mur,1v͉tn ̍vőƂȂ悤ȏɂČ肹邱Ƃ͖炩łBƂł̏́A damuav͉tn y y ɂĖ~]̍Ō̂̂̂ꂼ̋ ra,1mua,1v͉tn  rb,1mub,1v͉tn Ƃ̔䂷Ȃ킿ɂ邻ꂼ̋H̔䂪 pamuav͉tn ɓƂƂłB
@@܂̏[ꂽƉ肵A
mSn
obmubv͉tn=qbmubv͉tn-y=damuav͉tnpamuav͉tn
ra,1mua,1v͉tn=pamuav͉tnrb,1mub,1v͉tn
mŎIn
łƂƁA̎ pamuav͉tn A
mSn
damuav͉tnra,1mua,1v͉tn=obmubv͉tnrb,1mub,1v͉tn
mŎIn
𓾂ׂAdamuav͉tn, obmubv͉tn, ra,1mua,1v͉tn, rb,1mub,1v͉tn A\킷 Odamuav͉tn, qbmubv͉tny, damuav͉tn, y Œuւ
mSn
Odamuav͉tn~damuav͉tn=qbmubv͉tny~y
mŎIn
̂ɓ̋` Odamuav͉tnra,1mua,1v͉tn, yqbmubv͉tnR ̖ʐς͑BɋȐ r,1mur,1v͉tnmu,1v͒{ł́u,1,vnq,1muq,1v͉tn, r,1mur,1v͉tnq,1muq,1v͉tn ̐ɂāAɂ
mSn
ʐ Odamuav͉tnr,1mur,1v͉tn>Odamuav͉tn~damuav͉tn
mŎIn
łA
mSn
qbmubv͉tny~y> ʐ yqbmubv͉tnσ
mŎIn
łB̂
mSn
ʐ Odamuav͉tnr,1mur,1v͉tn> ʐ yqbmubv͉tnσ
mŎIn
@̂悤ɂāAiaj obmubv͉tn ʂƁi`j damuav͉tn ʂƂ͉̌䂪iaj̏L҂ɂƂėLłBȂȂ炱ɂē閞\킷ʐς́Ǎˁs肼tƂɓ閞\킷ʐςł邩Bꂾ̐ł͑ȂBobmubv͉tn 菬Ȃiaj damuav͉tn 菬Ȃi`jƂĂA܂ obmubv͉tn Ȃiaj damuav͉tn Ȃi`jĂAȂ鑼̌sĂAEɏqׂLłȂƂؖ˂΂ȂʁB
@@̏ؖȂ߁Aiaj obmubv͉tn ʂƁi`j damuav͉tn ʂƂ̌̑SߒAĂɌnȂ̕I琬ĂƉ肷BΌ
mSn
mifig45210_038.pngjn
mŎIn
ɂAiaj̏L҂́Aiaj́mifig45210_039.pngjn񂾂ɔnAi`j́mifig45210_040.pngjndɍwAi`j̋HAiaj̋H𑝉B߉i pamuav͉tn łH̔́AāẢiɑȂB]đ̕IŌ̂Ԗڂ̕IւƁAɗL̓x͌ĂǂAI͂LłB
@Od'amuav͉tn An̓_ɌāAOdamuav͉tn ؂ƂƂAqbmubv͉tny' Aqbmubv͉tn 艺Ɍ qbmubv͉tnmubv͒{ł͏tny ؂ƂƂA̒Aꂼ̕IɂČi`j́mifig45210_040.pngjnʋyсiaj́mifig45210_039.pngjnʂ\킷̂ƂB̑ꎟ̕Isɂ́AH̔͌邯ǂAȂɂĉiłB̋H ramuav͉tn, rbmubv͉tn ƖÂ΁A
mSn
ramuav͉tn>pamuav͉tnrbmubv͉tn
mŎIn
łB̂ɑO̕ɂA
mSn
mifig45210_041.pngjn
mŎIn
łBmifig45210_040.pngjn, mifig45210_039.pngjn, ramuav͉tn, rbmubv͉tn Aꂼ꒷ Od'amuav͉tn, qbmubv͉tny', d'amuav͉tn', y'' Œu΁A
mSn
Od'amuav͉tn~d'amuav͉tn'>qbmubv͉tny'~y''
mŎIn
ƂȂB~]Ȑ̐ɂāAɂẮA
mSn
ʐ Od'amuav͉tn'r,1mur,1v͉tn>Od'amuav͉tn~d'mud'v͒{ł́udvnamuav͉tn'
mŎIn
łAA
mSn
qbmubv͉tnmubv͒{ł͏tny'~y''> ʐ y'qbmubv͉tnσ'
mŎIn
łB̂
mSn
ʐ Od'amuav͉tn'r,1mur,1v͉tn> ʐ y'qbmubv͉tnσ'
mŎIn
łBiaj́mifig45210_039.pngjnƁi`j́mifig45210_040.pngjnƂ̑́iaj̏L҂ɂƂLłBlɁAɍsĂ񕔕ȉ̌́AH̔邯ǂAȂ͉̔ɂĉił邩ALł邱ƂؖB̗vAH̔̌ɔAĂƂ͖炩łB
@XɁAdamuav͉tnd''amuav͉tn Adamuav͉tn _牺Ɍ damuav͉tnO ؂ƂƂAyy'' _Ɍ yqbmubv͉tn ؂ƂƂA̒́AꂼŌ̕IɂČꂽi`j̗ʁmifig45210_040.pngjnyсiaj́mifig45210_039.pngjn\킷̂ƂB̍Ō̌sƁAH̔͌AɁAɂAiɑȂBāA
mSn
ra,1mua,1v͉tn=pamuav͉tnrb,1mub,1v͉tn
mŎIn
łAɂ
mSn
mifig45210_042.pngjn
mŎIn
łBmifig45210_040.pngjn, mifig45210_039.pngjn, ra,1mua,1v͉tn, rb,1mub,1v͉tn Aꂼ꒷ damuav͉tnd''amuav͉tn, yy'', damuav͉tn, y Œu΁A
mSn
damuav͉tnd''amuav͉tn~damuav͉tn=yy''~y
mŎIn
ɗ~]Ȑ̐ɂAɂ
mSn
ʐ d''amuav͉tndamuav͉tn''>damuav͉tnd''amuav͉tn~damuav͉tn
mŎIn
łA
mSn
yy''~y> ʐ yy''''
mŎIn
̂悤ɂāAiaj́mifig45210_039.pngjnƁi`j́mifig45210_040.pngjnƂ̍Ō̌ȂLłBƂł͂قǂɂ傫肵̂ł邩AׂĂ̕ÍAOȂA]đz菬Ō̕IALłBŏ̕I͂LłAԖڂ̕I܂ŁAL̒xɌBiaj̏LҁiPj obmubv͉tn 菬Ȃiaj̗ʂʂł낤A܂ damuav͉tn 菬Ȃi`j̗ʂvʂł낤B
@@lɂāAobmubv͉tn Ȃiaj̗ʂȂł낤ƂA܂ damuav͉tn Ȃi`j̗ʂvȂł낤ƂAؖ邱Ƃo悤BȂȂ炱̌x𒴂镔ÍAɏȂ镔IłĂAƂz菬ŏ̕IłĂAsvłA܂eI͂܂܂svƂȂ邩łBĂ̏ؖ͐̏ؖƑSlłB܂ƂɌ̌xȂ킿i`j̋HƁiaj̋HƂ̔䂪i pamuav͉tn ɑȂ_zčXɁAi`ĵʂƁiaĵʂƂAi`j̋HAiaj̋H𑝉΁Aramuav͉tn<pamuav͉tnrbmubv͉tn ƂȂBȂ킿 rbmubv͉tn>pbmubv͉tnramuav͉tn ƂȂBɍsؖɂāAɌ
mSn
rb,1mub,1v͉tn=pbmubv͉tnra,1mua,1v͉tn
mŎIn
@Ȃ킿@ra,1mua,1v͉tn=pamuav͉tnrb,1mub,1v͉tn
ɒB܂ŁAi`ĵʂƁiaĵʂƂ΁A̍őɋ߂ÂƂ́AmłB
@Z@̂Ɂiajɂĕ\킵i`j̉i pamuav͉tn ɂāAiaj̏LҁiPjł낤iaj̗ʂƁAvł낤i`j̗ʂƂA
mSn
ra,1mua,1v͉tn=pamuav͉tnrb,1mub,1v͉tn
mŎIn
̊֌WĂƂ΁A炻ꂼ̗ obmubv͉tn  damuav͉tn Ƃ́ẢiɂċׂʂɓA菭Ȃ΁AȂB
@ʂɁAsɂē񏤕i^ĂƂƁmusɂē񏤕i^ĂƂƁvɖT_nA~]̍ő傷Ȃ킿Lp̍ő́mu~]̍ő傷Ȃ킿Lp̍ő́vɖT_nAeL҂ɂƂmueL҂ɂƂvɖT_nA[ꂽŌ̊e̋x̔䂷Ȃ킿H̔䂪mu[ꂽŌ̊e̋x̔䂷Ȃ킿H̔䂪vɖT_nAiɓȂƂɌmuiɓȂƂɌvɖT_nB̋ϓBȂműϓBȂvɖT_nA҂́mu҂́vɖT_nAH̉iƑ̏i̋HƂ̐ς菬i𔄂muH̉iƑ̏i̋HƂ̐ς菬i𔄂vɖT_nAHmuHvɖT_nẢiƉȄi̋HƂ̐ςȂ鏤i𔃂̂mủiƉȄi̋HƂ̐ςȂ鏤i𔃂̂vɖT_nALłmuLłvɖT_nB
@A҂́A񏤕îALꏤȋSʂ̂Avł邱Ƃ蓾ׂA܂̏iSvʂ̂vł邱Ƃ蓾ł낤B̓_ɂẮAɐ悤B
@@
mSn
ra,1mua,1v͉tn=pamuav͉tnrb,1mub,1v͉tn
mŎIn
̒ ra,1mua,1v͉tn y rb,1mub,1v͉tn ɁA̒lu΁A̕
mSn
a,1mua,1v͉tn(damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(y)=pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-obmubv͉tn)
@@@ =pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mŎIn
ƂȂB́̕Apamuav͉tn ̔ƂĂ damuav͉tn ^BƂȂ΁A̕̕ϐ̑kҒAdamuav͉tnlɊւĉĂƂ΁A̕
mSn
damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn)
mŎIn
Ƃ`Ƃ邩łB́ALҁiPjiajŁi`jvꍇ̎vȐ ad,1mud,1v͉tnap,1mup,1v͉tn ̕A܂\킵ĂB̂ɁA
mSn
r=a,1mua,1v͉tn(q)@yс@r=b,1mub,1v͉tn(q)
mŎIn
wIɊm肵΁AO̕܂wIɊm肷BEɋLwIɂ͊m肵ĂȂ߂ɁA
mSn
damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn)
mŎIn
͌oIɉ߂Ȃ̂ƂȂĂB
@āA\\񏤕imu񏤕ivɖT_ni`mu`vɖT_njAiamuavɖT_njƊe҂ɑ΂邱񏤕i̗pȐȂ킿~]ȐmuƊe҂ɑ΂邱񏤕i̗pȐȂ킿~]ȐvɖT_nA܂͂Ȑ̕mu܂͂Ȑ̕vɖT_nAyт珤ǐ҂̊eXɂďLʂ^āmuyт珤ǐ҂̊eXɂďLʂ^āvɖT_nAvȐ肷muvȐ肷vɖT_n\\͉̂łmû͉łvɖT_nB
@@ȏ̉@̕Aɗp@̋Lɂĕ\킷Ƃ́AӋ`ł͂܂B
@iajŕ\킵i`j̉i pamuav͉tn łƂAvׂi`j̗ʂ damuav͉tn ƂAׂiaj̗ʂ obmubv͉tn=damuav͉tnpamuav͉tn łƂA]ĕׂۗiaj̗ʂ qbmubv͉tn-obmubv͉tn łƂB qbmubv͉tn ́ALҁiPjLiaj̗ʂł邩A
mQn
[1] damuav͉tnpamuav͉tn+(qbmubv͉tn-obmubv͉tn)=qbmubv͉tn
mŎIn
@܂ u=a,1mua,1v͉tn(q), u=b,1mub,1v͉tn(q) ꂼi`jyсiajʂ̔ƂĂ̐lɑ΂ĂLp\킷łƂA]
mSn
a,1mua,1v͉tn(damuav͉tn)+b,1mub,1v͉tn(qbmubv͉tn-obmubv͉tn)
mŎIn
́AőȂ炵߂ׂLp̍vłƂB̔W͖{Iɒ邩A䂪҂̋߂ő嗘ṕA񏤕i̊eʂɂĐ闘p̔ʂ̑㐔ałƂɓBȂȂ炱̔ʂ݂ɑȂA݂ɐĂƂ΁Aʂ̂苭i葽vāAʂ̂アi菭vA܂͔ʂ̂アi葽Aʂ̂苭̂菭̂vł邩łB̂ɗ~]̍ő喞^́A̕ɂĕ\킳B
mSn
'a,1mua,1v͉tn(damuav͉tn)ddamuav͉tn+'b,1mub,1v͉tn(qbmubv͉tn-obmubv͉tn)d(qbmubv͉tn-obmubv͉tn)=0
mŎIn
@Ƃňɂďʂ̔ƂĂ̗Lp̔̓́AHɑȂȂAɂĕmPn琶
mSn
pamuav͉tnddamuav͉tn+d(qbmubv͉tn-obmubv͉tn)=0
mŎIn
ɂA񏤕îꂼ̏ʂ̔Ɠ񏤕îꂼ̑ŕ\킵ꂼ̉iƂ̐ς̑㐔a͗łB
@̂
mSn
a,1mua,1v͉tn(damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mŎIn
͔@ɒʋłȂǎ҂̂߂ɂB̑̓ǎ҂͎̂悤ɂĒɗł낤B̓񎮂̈܂͑ damuav͉tn ɂĔB
mSn
a,1mua,1v͉tn(damuav͉tn)+b,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mifig45210_043.pngjn
mŎIn
Ă̓Oƒu΁A
mSn
a,1mua,1v͉tn(damuav͉tn)-pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)=0
mŎIn
Ȃ킿
mSn
a,1mua,1v͉tn(damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mŎIn
ƂȂBĂ̍͋̕ɑAɏȂBA 'a,1mua,1v͉tn(q) Ȃ킿 a,1mua,1v͉tn(q), 'b,1mub,1v͉tn(q) Ȃ킿 b,1mub,1v͉tn(q) ͖{IɌł邩A񎟓
mSn
'a,1mua,1v͉tn(damuav͉tn)+p2mu2v͏tnamuav͉tn'b,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mŎIn
͕KRIɕł邩łB
@O@Eɗ^̏ؖ́A~]Ȑ̘AOƂBX́A~]ȐsAłꍇ˂΂ȂʁBɂ΁Ȁꍇɂ́AijAȐiƕsAȐiƂ̌AijsAȐiƘAȐiƂ̌AiOjsAȐiƁAsAȐiƂ̌̎Oӂ̏ꍇ蓾悤BǂAɖ炩ɂ悤ɁAXׂ͂Ă̏ỉl̉lƊ֌W߂ĂׂĂ̏iw鏤iA]ĘAIȗ~]Ȑ邵˂΂Ȃʏ̈̏iIԂ̂ł邩Ȁꍇ΂悢B
@ɂAiaj̏LҁiPjɑ΂iaj̗pȐ r,1mur,1v͉tnq,1muq,1v͉tniO}jƂA̐lLiaj̗ʂ qbmubv͉tn ƂBē_ a y a''' ʂKi`̋ȐǍ҂ɑ΂i`j̗pȐłƂBi`j͒PʂɂĂȂ̂ł邩A pamuav͉tn ́iajŕ\킵i`j̉ił邩Aiaj pamuav͉tn ɓʂɂĂȂB damuav͉tnd''amuav͉tn y damuav͉tnd'''amuav͉tn ꂼi`j̔ꂽŌ̒PʂƔȂŏ̒PʂƂ\킵A܂ yy'' y yy''' ꂼiaj̔ꂽŌ̗ʂƔȂŏ̗ʂƂ\킷̂Ƃ΁A҂ő喞𓾂Ƃɂ́A̓̕s藧B
mSn
ʐ yy''''<damuav͉tna
ʐ yy''''''>d'''amuav͉tna'''
mŎIn
@ m''  m''' ƂŁAꂼ y  y'''' Ƃ̒Ԃ̒y y  y'''''' Ƃ̒Ԃ̒\킷ƂƂ΁ÁAꂼiaj̔ꂽŌ̗ʂ̗p̕ϋxyєȂŏ̗ʂ̗p̕ϋxB
mSn
yy''=yy'''=pamuav͉tn
mŎIn
悸΁Aꂼ yy'''' y yy'''''' ɓ̖ʐςBőāi`j̎vȂ킿 damuav͉tn 肷̕š`ɗĂ邱ƂoB
mSn
damuav͉tna=pamuav͉tnm''+''
d'''amuav͉tna'''=pamuav͉tnm'''-'''
mŎIn
̕AeՂɎ̌ʂ𓱂oƂoB
mSn
mifig45210_044.pngjn
mŎIn
ƂŁAm''+m'''  2y ɋɂ߂ċ߂ʂłAmifig45210_045.pngjn͂͂Ȃ͂ʂłB̂ɗeՂ
mSn
mifig45210_046.pngjn
mŎIn
B
@āAAI~]ȐiƕsAI~]ȐiƂ̌̏ꍇɂāmuAI~]ȐiƕsAI~]ȐiƂ̌̏ꍇɂāvɖT_nAő喞Ƃɂ́muő喞Ƃɂ́vɖT_nAꂽȉ[ꂽŌ̗~]̋xƏ[Ȃŏ̗~]̋xƂ̕ς́muꂽȉ[ꂽŌ̗~]̋xƏ[Ȃŏ̗~]̋xƂ̕ς́vɖT_nAꂽ鏤ȉ[ꂽŌ̗~]̋xɑ΂́muꂽ鏤ȉ[ꂽŌ̗~]̋xɑ΂́vɖT_nAiɂقړmuiɂقړvɖT_nB
@͂قړƂĂBȂȂiajŕ\킵i`j̉iƁAiaj̏[ꂽŌ̗~]̋xƂ̐ pamuav͉tn~y ́Ai`j̏[ꂽŌ̗~]̋Ə[Ȃŏ̗~]̋̕ςɓȂƂ蓾݂̂łȂA܂A̗ʊeXł邱ƂAł邱Ƃ蓾邩łBہAKRI
mSn
ʐ yy''''<pamuav͉tn~y
mŎIn
łA
mSn
damuav͉tna> ʐ yy''''
mŎIn
ł邯ǂAKRIɂ
mSn
damuav͉tna>pamuav͉tn~y
mŎIn
ł͂ȂBĂ΂
mSn
damuav͉tna<pamuav͉tn~y
mŎIn
łƂƁAdamuav͉tna yт damuav͉tna 菬 d'''amuav͉tna''' ́A pamuav͉tn~y 菬łBlɁAKRIɁA
mSn
ʐ yy''''''>pamuav͉tn~y
mŎIn
łA
mSn
d'''amuav͉tna'''< ʐ yy''''''
mŎIn
łBKRIɂ́A
mSn
d'''amuav͉tna'''<pamuav͉tn~y
mŎIn
ł͂ȂBĂ
mSn
d'''amuav͉tna'''>pamuav͉tn~y
mŎIn
łƂƁAd'''amuav͉tna''' yт d'''amuav͉tna''' Ȃ damuav͉tna ́A pamuav͉tn~y łB
@l@Ăѓ̕s
mSn
ʐ yy''''<damuav͉tna
ʐ yy''''''>d'''amuav͉tna'''
mŎIn
悤Bpamuav͉tn ƁA̕s̍ŏ̍͋ɌBɂāAꎮ̕s֌Wɂ͕ω͐ȂB񎮂̕s֌W΂ƂȂAdamuav͉tn ƂPʂ鎞Bpamuav͉tn ƁA̏͑̕BɂāA񎮂̕s֌W͕ωȂBꎮ̕s֌W΂ƂȂAdamuav͉tn ƂPʂ鎞B̂Ɂi`j̎vȐ͒sAłB
@͓Iɂ́Aiajŕ\킵i`j̔Cӂ̉i pamuav͉tn ΂ƂAiaj̏L҂́A~]x r1mu1v͉tn, r2mu2v͉tn cc[́i`j̈APʂvA̓ r1mu1v͉tn, r2mu2v͉tn ccʂŌvʂꂽi`j̗Lp𓾂΁Aۗiaj̗ʂ́Aqbmubv͉tn-pamuav͉tn, qbmubv͉tn-2pamuav͉tn ccƂȂAϕ
mSn
mifig45210_047.pngjn
mŎIn
Ōviaj̗Lp̂ĂBčő喞^v damuav͉tn ͎̓̕sɂČ肹B
mSn
mifig45210_048.pngjn
mŎIn
@̂悤ɂāApamuav͉tn ׂ̂Ă̒lɑΉ damuav͉tn wIɌ肹ł낤AiajĂi`j̎v\\i̔ƂẮ\\̒IȕsAȐ\ł낤B
my[Wn

@@@@́@vȐ_B񏤕iԂɂ̖̐wI@̈ʓI

mWn
vځ@܁@iɂvB͊OpɓBZ@i`j̎v̏ꍇ̉iB@iaj̋Lʂɓꍇ̉iB@LʂɓALʂ̑oȐƎvȐƂ邱ƁB@oȐ͌_̊Ԃł͎vȐƂȂBZ@Lʂ̌B@B@ʂ̏ꍇ͓񏤕ȉL҂̏ꍇłBILv̓̕܂͋ȐBOAlA܁@ei̎vA܂͋Ȑ͓i̋i̔Ƃĕ\킷܂͋ȐłBZ@񏤕iԂ̌̏ꍇɂ邹グ̌X\킷̈ʑ̌nB㎵A㔪@̉@B
mŎIn

@܁@Iv̕
mSn
damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn)
mŎIn
́A
mSn
a,1mua,1v͉tn(damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mŎIn
 damuav͉tn ɊւĉƉ肵ɑȂȂAX́AIv̕Ǎ̌`ɂĘ_邱ƂoB
@܂Apamuav͉tnmupav͒{ł́uravn=0 Ƃ΁A̕
a,1mua,1v͉tn(damuav͉tn)=0
mŎIn
ƂȂA̍ damuav͉tn=q,1muq,1v͉tn=Oad,1mud,1v͉tnmud,1v͒{ł́ua,1vn ƂȂB
@āA񏤕isɗ^mu񏤕isɗ^vɖT_nÄ̉imü̉ivɖT_niŕ\킵muŕ\킵vɖT_nj[łƂ́mu[łƂ́vɖT_nȀi̊eL҂ɂĎv邱̏i̗ʂ́mȕi̊eL҂ɂĎv邱̏i̗ʂ́vɖT_nA̐lX~܂܂Ɏ̑S~][ɕKvȗʂȂ킿Opɓmu̐lX~܂܂Ɏ̑S~][ɕKvȗʂȂ킿OpɓvɖT_nB
@ꂪłȂ΂ȂʂƂ́A掵߂̐ɂĂ܂炩łBȐ ad,1mud,1v͉tnap,1mup,1v͉tn ͓_ q,1muq,1v͉tn o邩łB
@Z@ɁAv̕ɂāAdamuav͉tn=0 łƂ΁Av̕
mSn
a,1mua,1v͉tn(0)=pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn)
mŎIn
ƂȂA̍́@mifig45210_049.pngjn
ƂȂB
@āA񏤕ï̏L҂ɂĎv鑼i̗ʂ́mu񏤕ï̏L҂ɂĎv鑼i̗ʂ́vɖT_nȂỉimȗỉivɖT_nȂiɑ΂~]̍őȂ̂̋xƋׂiׂۗ̕ʂɂď[꓾Ō̗~]xƂ̔ɓ΁mȗiɑ΂~]̍őȂ̂̋xƋׂiׂۗ̕ʂɂď[꓾Ō̗~]xƂ̔ɓ΁vɖT_nA܂͂̔ł΁mu܂͂̔ł΁vɖT_nA[łmu[łvɖT_nB
@́AAłȂ΂ȂʁBȂȂȀꍇɂ́Aiaj̏LҁiPjɂďiaj̍Ō̕Ⴆ΁mifig45210_039.pngjnɂāȀL҂́mifig45210_050.pngjn̖𓾂̂ɔA̍Ō̕i pamuav͉tn Łi`j́mifig45210_040.pngjnʂƌ΁AȌꍇɓ܂͂菬Ȃ閞
mSn
mifig45210_051.pngjn
mŎIn
ȂłB
@@iaj̏LҁiPji`jvȂ߂ɕKvȉȉḿAXɁiajۗȂ߂ɕKvȉȉ悤Bɂ́A
mQn
[1] a,1mua,1v͉tn(damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(qbmubv͉tn-damuav͉tnpamuav͉tn)
mŎIn
ɂāA
mQn
[2] damuav͉tnpamuav͉tn=qbmubv͉tn
mŎIn
Ƃ˂΂ȂʁBƂ́A
mQn
[3] a,1mua,1v͉tn(damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(0)
mŎIn
ƂȂA̍
mSn
mifig45210_052.pngjn
mŎIn
łB
@āA񏤕îꏤȉL҂ɂċ邻̏i̗ʂ́mu񏤕îꏤȉL҂ɂċ邻̏i̗ʂ́vɖT_nAvׂỉimuvׂỉivɖT_nǍ̏iɂ[ׂŌ̗~]̋xƋׂi̗~]̍ő勭xƂ̔ɓ܂͂菬ȂƂmǔ̏iɂ[ׂŌ̗~]̋xƋׂi̗~]̍ő勭xƂ̔ɓ܂͂菬ȂƂvɖT_nALʂɓmuLʂɓvɖT_nB
@A܂AłȂ΂ȂʁBȀꍇɂ́iaj̏LҁiPjɂďiaj̍ŏ̕Ⴆ΁mifig45210_039.pngjnɂȀL҂́mifig45210_053.pngjn̖ȂAi pamuav͉tn Łi`j́mifig45210_040.pngjnƌ΁Amifig45210_039.pngjnɂāAȌꍇƓ܂͂Ȃ閞
mSn
mifig45210_054.pngjn
mŎIn
邩łB
@@mQnAmRn̊eӂ݂ɑ悶Apamuav͉tn 邽߁A pamuav͉tn ŏ΁A
mSn
damuav͉tna,1mua,1v͉tn(damuav͉tn)=qbmubv͉tnb,1mub,1v͉tn(0)
mŎIn
ƂȂBqbmubv͉tn  b,1mub,1v͉tn(0)=r,1mur,1v͉tn ƂA\킷 Oqbmubv͉tn,Or,1mur,1v͉tn Œu΁A
mSn
damuav͉tna,1mua,1v͉tn(damuav͉tn)=Oqbmubv͉tn~Or,1mur,1v͉tn
mŎIn
ƂȂB
@́̕Ǎtł\킵ĂłB\\񏤕î̈ꏤi̋̏ȉLʂɓ߂ɂ́mu񏤕î̈ꏤi̋̏ȉLʂɓ߂ɂ́vɖT_nAv鏤i̗~]Ȑ̂Ɂmuv鏤i̗~]Ȑ̂ɁvɖT_nAׂȉLʂƂmuׂȉLʂƂvɖT_nȀi̖̍ő勭xӂƂčꂽ`̖ʐςɓ`蓾Ȃ΂Ȃʁmȕi̖̍ő勭xӂƂčꂽ`̖ʐςɓ`蓾Ȃ΂ȂʁvɖT_nB
@ƂŁȀ͏ɕK̂ł͂ȂB̗ɂẮAɂłBȄ́A܂ȀȂ킿iaj̏Lʂ̑oȐ damuav͉tnpamuav͉tn=qbmubv͉tn Ɓi`j̕IvȐ damuav͉tn=fa,1mua,1v͉tn(pamuav͉tn) Ƃ͑邱ƂvƂ̏ɂĕ\킵BAmPnƁmQnƂ̓𖞑ɂ́AE̓Ȑ˂΂ȂȂłB̋Ȑ͏ɕKȂBɁA̗ɂ鏊L҂̏ꍇɂ́AȂB
@@̊ώ@͂܂̏dvȌʂ؁st炷BA̕[ꂽƂAvȐLʂ̑oȐƓ_ q'bmubv͉tn y q''bmubv͉tnm{ł́ubv́uavni}jɂČƑzĂ݂Biaj̋́A_ q'bmubv͉tn y q''bmubv͉tn ̉WɂĎ鉿iɂāAL qbmubv͉tn ɓB̂Ƃ́Ải̒Ԃ̉iɂĂAlłB݂̂Ȃ炸Ȃg܂͋Ȑ̑gɂƁAԂ̉iɂẮAiaj̋͏L qbmubv͉tn łׂł悤ɌBL҂͎珊Lȏ̗ʂ邱Ƃs\ł邩Aqbmubv͉tn-damuav͉tnpamuav͉tn ͕̗ʂł蓾ȂƂA˂΂Ȃʂ̂͂łB͎̏̂悤ɕ\킳B\\񏤕ïꏤi̋LʂƓ蓾邽߂ɂ́mu񏤕ïꏤi̋LʂƓ蓾邽߂ɂ́vɖT_nȀLʂ̑oȐƑ̏i̎vȐƂ˂΂ȂʁmȕLʂ̑oȐƑ̏i̎vȐƂ˂΂ȂʁvɖT_nBʂ̑oȐ́muʂ̑oȐ́vɖT_nAĚ_̊ԂɂẮmuĚ_̊ԂɂẮvɖT_nAvȐƂȂmuvȐƂȂvɖT_nB
@Z@AȐ r,1mur,1v͉tnq,1muq,1v͉tn y r,1mur,1v͉tnq,1muq,1v͉tniO}jωȂŁAqbmubv͉tn ΁Abmubv͉tn ͑A]āmifig45210_055.pngjn͌Bqbmubv͉tn=0 ƂȂƂ́Abmubv͉tn=r,1mur,1v͉tn łāAmifig45210_056.pngjńmifig45210_057.pngjnɈvB̂Ƃɂ́AvȐ ad,1mud,1v͉tnap,1mup,1v͉tn ́AẄꕔ ad,1mud,1v͉tnO ƂȂB
@āA񏤕i̗p̈̏ȉL҂ɂƂĕωmu񏤕i̗p̈̏ȉL҂ɂƂĕωvɖT_nA̏LʂƂ΁mu̏LʂƂ΁vɖT_nȀi̎vȐƉi̎Ƃ̌_͍W̌_ɋ߂Âmȕi̎vȐƉi̎Ƃ̌_͍W̌_ɋ߂ÂvɖT_nB̏Lʂ[ƂȂƂ́mȕLʂ[ƂȂƂ́vɖT_nAvȐ́muvȐ́vɖT_nAv̎ɂƂꂽv鏤i̊OpƁmuv̎ɂƂꂽv鏤i̊OpƁvɖT_nAi̎ɂƂꂽ񏤕i̗~]̍ő̋x̔ɓƂɂč鍿W̕Ɉvmui̎ɂƂꂽ񏤕i̗~]̍ő̋x̔ɓƂɂč鍿W̕ɈvvɖT_nB
@@΂ɂAqbmubv͉tn ƁAbmubv͉tn ͌A]āmifig45210_055.pngjn͑Bqbmubv͉tn=q,1muq,1v͉tn łƂ́Abmubv͉tn=0 ƂȂAmifig45210_056.pngjn͖ƂȂB̂Ƃɂ́A_ ap,1mup,1v͉tnmup,1v͒{ł́ud,1vn͂n_薳ɊuĂB
@āA񏤕i̗p̈̏ȉL҂ɂƂĕωmu񏤕i̗p̈̏ȉL҂ɂƂĕωvɖT_nA̏Lʂ΁mu̏Lʂ΁vɖT_nȀi̎vȐƉi̎Ƃ̌_́mȕi̎vȐƉi̎Ƃ̌_́vɖT_nAW̌_牓muW̌_牓vɖT_nB̏LʂOpɓȂ΁mȕLʂOpɓȂ΁vɖT_nAvȐ͉i̎ɑQߐȂmuvȐ͉i̎ɑQߐȂvɖT_nB
@ȂȂ΂ȂʂƂ́ASɐ꓾B܂Sv̋Ȑ̌`ɂđvɉ̒fȂi܌ܐ߁ĵA[̗RƂł낤B́AE̋Ȑ͏Ɏv̎؂ƒf肷邱ƂoBȂ鏤iAȑSOp̂łȂłBǂE̋Ȑi̎ɑQߐȂƂ́AʂłpɂȎƍl˂΂ȂʁBȂȂÂƂ́AꏤȉL҂̒ɎRɑS~][ɏ[ȗʂ̂̏ilAlł΁A邩łBőS̋Ȑ͌_o邱ƂA΂΂蓾ijmuijv͍sEnB
@@܂ŁÁAׂĂ̌҂ꏤî݂̂Ȃ킿i`j܂́iaĵ݂̏L҂ł邱Ƃ肵ĂB̐l񏤕ii`jyсiaj̏L҂łʂ̏ꍇlA̐l̂グ̌X𐔊wIɕ\킳˂΂ȂʁBׂĂ戵ƂӖɂāȀꍇ戵˂΂Ȃʂ̂͂ȀꍇʓIꍇłāȀꍇ́A񏤕ȉLʂ̈[łƑzꂽꍇɉ߂ȂB_GƂȂ̂āÁAŏɂ͉ȄꍇA񏤕ǐ̖̒ɓȂB́Aő喞̒藝ɂāȀꍇȒPɗeՂɎ戵ƂoB
m}ifig45210_058.pngjn
@̂ɁAiaj̏LҁiPjA~]Ȑ r,1mur,1v͉tnq,1muq,1v͉tn y r,1mur,1v͉tnq,1muq,1v͉tn ̓̕ r=a,1mua,1v͉tn(q),r=b,1mub,1v͉tn(q) ɂĕ\킳i`jyсiajɑ΂~]āAsɌƂAi`j̃[ʂƁAOqbmubv͉tniO}jɂĕ\킳iaj qbmubv͉tnmubv͒{ł͏tn ʂĂɁAOqa,1mua,1v͉tnil}jɂĕ\킳i`j qa,1mua,1v͉tn ʂƁAOqb,1mub,1v͉tn ɂĕ\킳iaj qb,1mub,1v͉tn ĂƉ肵Ai pbmubv͉tn ̔ƂẮiaj̎vƁAi pamuav͉tn ̔ƂẮi`j̎vƂ\킵Ă݂悤B
@Ai`jŕ\킵iaj̉i pbmubv͉tn 𒷂 qb,1mub,1v͉tnpbmubv͉tn ŕ\킵ẢiɂĂ̐lA qb,1mub,1v͉tndbmubv͉tn ɂĕ\킳iaj dbmubv͉tn ʂvƂ΁A qa,1mua,1v͉tnoamuav͉tn ɂĕ\킳i`j oamuav͉tn ʂœ pbmubv͉tn, dbmubv͉tn, oamuav͉tn ̊Ԃɕ
mSn
oamuav͉tn=dbmubv͉tnpbmubv͉tn
mŎIn
𐬗߂ł낤̗ʂ˂΂ȂȂB
@Ă̂Ƃɂ́Aiaj̏[ꂽŌ̗~]̋x͒ dbmubv͉tn ɂĕ\킳 rbmubv͉tn łAi`j̏[ꂽŌ̗~]̋x͒ oamuav͉tn ɂĕ\킳 ramuav͉tn ł邩Aő喞̒藝ɂi攪Z߁jA
mSn
rbmubv͉tn=pbmubv͉tnramuav͉tn
mŎIn
łBrbmubv͉tn  ramuav͉tn Ƃɂ̒l
mQn
[4] b,1mub,1v͉tn(qb,1mub,1v͉tn+dbmubv͉tn)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn-oamuav͉tn)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn-dbmubv͉tnpbmubv͉tn)
mŎIn
ƂȂB́Ai`jŕ\킵iaj̉i̔ƂẮiaj̎vA qb,1mub,1v͉tnq, qb,1mub,1v͉tnp ̏ɕ\킵vȐ bd,1mud,1v͉tnbp,1mup,1v͉tn ̕łB
@lɂAiajŕ\킵i`j̉i pamuav͉tn ɂāǍli`j damuav͉tn ʂv΁Apamuav͉tn, damuav͉tn, obmubv͉tn ̊Ԃɕ
mSn
obmubv͉tn=damuav͉tnpamuav͉tn
mŎIn
𐬗߂悤ȁiaj̗ obmubv͉tn ˂΂ȂʁBĂ̂Ƃɂ́Ai`j̏[ꂽŌ̗~]̋x ramuav͉tn łAiaj̏[ꂽŌ̗~]̋x rbmubv͉tn ł邩
mSn
ramuav͉tn=pamuav͉tnrbmubv͉tn
mŎIn
łA
mQn
[5] a,1mua,1v͉tn(qa,1mua,1v͉tn+damuav͉tn)=pamuav͉tnb,1mub,1v͉tn(qb,1mub,1v͉tnmub,1v͒{ł́ub1vn-obmubv͉tn)=pamuav͉tnb,1mub,1v͉tn(qb,1mub,1v͉tn-damuav͉tnpamuav͉tn)
mŎIn
łB́Aiajŕ\킵i`j̉i̔ƂẮi`j̎vA qa,1mua,1v͉tnq, qa,1mua,1v͉tnp ̏ɕ\킵vȐ̕łB
@O@i[łƂ̎v̏ꍇAv[łƂ̉ȉꍇALʂɓȂꍇALʂꍇAꂪꍇɂāAmSnAmTn̓̕ᖡ΁AɂȂ_qƑŜƂȂł낤B玄͂ȂBm肵Ă˂΂Ȃʏdvȓʂȓ_ɂĂ̂ݘ_ĂB
@AmSnɂāAdbmubv͉tn=0 ł΁A̕
mSn
b,1mub,1v͉tn(qb,1mub,1v͉tn)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn)
mŎIn
ƂȂBď pamuav͉tnpbmubv͉tn=1 ł邩A̕
mSn
a,1mua,1v͉tn(qa,1mua,1v͉tn)=pamuav͉tnb,1mub,1v͉tn(qb,1mub,1v͉tn)
mŎIn
̌`Ƃ꓾BmTnɂāAdamuav͉tn=0 łƂāÂ܂łB
@āA񏤕î̈ꏤi̎vmu񏤕î̈ꏤi̎vvɖT_nA鉿iɂă[łƂ΁mu鉿iɂă[łƂ΁vɖT_nÄ̏i̎v́mü̏i̎v́vɖT_nAiɑ邻̉iɂĂ܂[łmuiɑ邻̉iɂĂ܂[łvɖT_nB
@l@̖͂ʓIȒ藝̌nɉ߂ȂB
i`jŕ\킵iaj̉i̔ƂẮiaj̎v̕mSnAiajŕ\킵i`j̉i̔ƂẮi`j̋̕ɕω邽߂ɂ́Adbmubv͉tn  oamuav͉tnpamuav͉tn ɂāApbmubv͉tn mifig45210_019.pngjnɂĒu΂悢BĂ
mSn
a,1mua,1v͉tn(qa,1mua,1v͉tn-oamuav͉tn)=pamuav͉tnb,1mub,1v͉tn(qb,1mub,1v͉tn+oamuav͉tnpamuav͉tn)
mŎIn
ƂȂB͕mTnɊOȂȂ̂łāA damuav͉tn  -oamuav͉tn ɒuꂽłBāi`j̎vmTńAdamuav͉tn ̒lƂƂ́i`j̋łBlɂāAiaj̎vmSńAdbmubv͉tn łƂ́iaj̋ł邱ƂؖBƂŉi͖{㐳ł邩Adbmubv͉tn ł΁Aoamuav͉tn=dbmubv͉tnpbmubv͉tn ͐łA] damuav͉tn=-oamuav͉tn ͕łBdbmubv͉tn łƂ́Aoamuav͉tn=dbmubv͉tnpbmubv͉tn ͕łA] damuav͉tn=-oamuav͉tn ͐łBlɂāAdamuav͉tn łƂ́Adbmubv͉tn ͕łAdamuav͉tn łƂ́Adbmubv͉tn ͐ł邱Ƃؖo悤B
@āA񏤕ï̏i̎v鉿iɂĐł΁mu񏤕ï̏i̎v鉿iɂĐł΁vɖT_nAiɑ鑼̏ỉiɂ邱̑̏i̎v͕łmuiɑ鑼̏ỉiɂ邱̑̏i̎v͕łvɖT_nAȂ킿̋͐łmuȂ킿̋͐łvɖT_nB
@ē񏤕ȉL҂́Ȁi邱ƂɂĂȀiv邱ƂoȂ̂łA܂̋tBȀivʂƂ΁Ȁi˂ΎvȂƂƂȂBeՂɔFߓ悤ɁÁA񏤕i̋H̔䂪Ȁiŕ\킵ꏤỉiɂ܂āAȂŗLp̍ő傪ꍇłB
@܁@̂ɋȐ́Aad,1mud,1v͉tn  ap,1mup,1v͉tn ܂ł́A܂ bd,1mud,1v͉tn  bp,1mup,1v͉tn ܂ł́AvȐłB_ ap,1mup,1v͉tn  bp,1mup,1v͉tn Ƃ݂͌ɋtł邩łB܂Ȑ́Aap,1muap,1v͉tn  ao,1muo,1v͉tn ܂ŁAbp,1mup,1v͉tn  bo,1muo,1v͉tn ܂ŁAȂ킿}Ɏ qa,1mua,1v͉tnp, qb,1mub,1v͉tnp ȉɓ_ŎɂāAȐłBāA Or ɂƂ΁AȐ̊eX́A񏤕i̊eXۗ̕l鍇vʂi̔ƂĎȐłBɂ͍ŏʂ݂邪A͑̏iƌɒ񋟂鋟ʍő̏ꍇɑB
@Z@vɁAҁiPjA珊Li`jyсiaj̗ qa,1mua,1v͉tn, qb,1mub,1v͉tn ɑ΂Ai̔@stɂĕł낤̂珤îꂼ̗ʂA킸AȒP x, y ŕ\킹΁A̐l̂グ̌X́Aƍő喞̓̕
mSn
x1mu1v͉tnvamuav͉tn+y1mu1v͉tnvbmubv͉tn=0
mifig45210_059.pngjn
mŎIn
琶B̂ŁApamuav͉tn ̔Ƃ x1mu1v͉tn \킷߂ y1mu1v͉tn 邱ƂoA܂ pbmubv͉tn ̔Ƃ y1mu1v͉tn \킷߂ x1mu1v͉tn 邱ƂoBĂē
mSn
a,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)=pamuav͉tnb,1mub,1v͉tn(qb,1mub,1v͉tn-x1mu1v͉tnpamuav͉tn)
b,1mub,1v͉tn(qb,1mub,1v͉tn+y1mu1v͉tn)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn-y1mu1v͉tnpbmubv͉tn)
mŎIn
͈ʓIłāA]āAɑ̏i̊Ԃ̌ɂ铯l̂グ̌X\킷ꍇɂA͂̕KɓWJɉ߂ʂł낤B
@ȂӂvdvȂƂł邪AȆ̕ pamuav͉tn ̒l x1mu1v͉tn  qa,1mua,1v͉tn Ȃ炵߂̂łƂ́A
mSn
x1mu1v͉tn=-qa,1mua,1v͉tn
mŎIn
ɂĒu˂΂ȂʁB̂Ƃɂ́Ay1mu1v͉tn ͕
mSn
y1mu1v͉tnpbmubv͉tn=qa,1mua,1v͉tn
mŎIn
ɂė^Blɑ́A y1mu1v͉tn  qb,1mub,1v͉tn Ȃ炵߂鏊 pbmubv͉tn ̒lɂẮA
mSn
y1mu1v͉tn=-qb,1mub,1v͉tn
mŎIn
ɂĒu˂΂ȂȂB̏ꍇɂ́Ax1mu1v͉tn ͕
mSn
x1mu1v͉tnpamuav͉tn=qb,1mub,1v͉tn
mŎIn
ɂė^B
@㎵@̕Ax1mu1v͉tn y y1mu1v͉tn ɂĉȀ𖞑悤ɓKɏ΁Ǎ`ƂB
mSn
x1mu1v͉tn=fa,1mua,1v͉tn(pamuav͉tn),@y1mu1v͉tn=fb,1mub,1v͉tn(pbmubv͉tn)
mŎIn
lɁAҁiQjAiRĵグ̌X\킷̂ƂāA
mSn
x2mu2v͉tn=fa,2mua,2v͉tn(pamuav͉tn),@y2mu2v͉tn=fb,2mub,2v͉tn(pbmubv͉tn)
x3mu3v͉tn=fa,3mua,3v͉tn(pamuav͉tn),@y3mu3v͉tn=fb,3mub,3v͉tn(pbmubv͉tn)
ccccc@ccccc
mŎIn
𓾂Bē񏤕ii`jyсia)̊eX̗LvƗLƂ̋ϓ́A̓̈܂͑ɂĕ\킳B
mSn
X=fa,1mua,1v͉tn(pamuav͉tn)+fa,2mua,2v͉tn(pamuav͉tn)+fa,3mua,3v͉tn(pamuav͉tn)+ cc =Famuav͉tn(pamuav͉tn)=0
Y=fb,1mub,1v͉tn(pbmubv͉tn)+fb,2mub,2v͉tn(pbmubv͉tn)+fb,3mub,3v͉tn(pbmubv͉tn)+ cc =Fbmubv͉tn(pbmubv͉tn)=0
mŎIn
@ƂŗႦ pamuav͉tn ̑̕ꂩ瓱oApbmubv͉tn 
mSn
pamuav͉tnpbmubv͉tn=1
mŎIn
瓱o΁A pbmubv͉tn ̒ĺAKA𖞑BA炩
mSn
Xvamuav͉tn+Yvbmubv͉tn=0
mŎIn
ł邩BŁA pamuav͉tn lƂƂAFamuav͉tn(pamuav͉tn)=0 ƂȂ΁ẢiɑΉ pbmubv͉tn ̒lɂāAFbmubv͉tn(pbmubv͉tn)=0 ƂȂB
@̉@͉͓I@łB́AɊ􉽊wI`^邱ƂoB̂̍v́i`j̎vȐ^Â̍v́iaj̎vȐ^B̓̎vȐA񏤕i̋̓ȐB́Âyт𐳂ɂƂAꂼv̂ɑȂȂBsꉿíA̋Ȑ̌_ɂČ肹B
@㔪@ȏオwI@łBsɂ@͎̔@ɂȂB
@݂̌ɋt̉i pamuav͉tn, pbmubv͉tn ΂ƁAvZȂő喞̏Ɉv悤 x1mu1v͉tn, x2mu2v͉tn, x3mu3v͉tn cc y1mu1v͉tn, y2mu2v͉tn, y3mu3v͉tn cc肹BɂĂ܂AwƂx肹B X=0 Ȃ΁AY=0 ƂȂAi͋ύtiƂȂBʂɂ́mifig45210_060.pngjnłA]āmifig45210_061.pngjnłB̂̍v Damuav͉tn ƌĂсÂ̍v𕄍ς Oamuav͉tn ƌĂׂ΁AȆ̕śmifig45210_062.pngjnƂȂB Damuav͉tn  Oamuav͉tn Ƃ𓙂炵߂邱ƂłB
@Damuav͉tn ɂĂ΁A̗ʂ́Apamuav͉tn=0 łƂAłApamuav͉tn ΁AɌĂBẮApamuav͉tn  0 Ɩ̒Ԃ̂lƂƂA[łBOamuav͉tn ɂĂ΁A̗ʂ́Apamuav͉tn=0 ƂȂƂA[łApamuav͉tn ̂lƂĂȂA[łBȂ pamuav͉tn ΁A̗ʂ邯ǂAɂ͑ȂB́AƂő̒lɒBApamuav͉tn Ȃ΁ABpamuav͉tn= ƂȂ΁A̓[ƂȂBAOamuav͉tn [ł邱Ƃ~߂ȑOɁADamuav͉tn [ƂȂāA@s\ƂȂ̂łȂ΁AOamuav͉tn  Damuav͉tn Ƃ𑊓炵߂ pamuav͉tn ̂l݂B̒loɂ́A Damuav͉tn>Oamuav͉tn Ȃ pamuav͉tn 𑝉˂΂ȂʂA܂ Damuav͉tn<Oamuav͉tn Ȃ΁Apamuav͉tn ˂΂ȂʁB͂ɂLyїLv̖@F߂B

mPA܂ԂĂRn
@vȐyыȐ̂̋ᖡApȐ̒牉㈂ꂽ̎̐ɂĕ[̂֗ł낤B̓̎̈́ẢƂč̂ꂽ̂Łil߁jAv̋Ȑ͏ɒƂƂłB̓́Aꂩ牉㈂ꂽ̂ŁAȐ́AȋɔA߃[Aɒă[i_ɂājɋAƂƂłil߁jB́A̏ؖAʉāACӐ̏ȉLҊԂ̔CӐ̌̏ꍇɂčsāA^Ai̊􉽊wI_A߁ȀiԂ̌ɂāÂɏqׂĂB
mŎIn
my[Wn

@@@@\́@HȂ킿ľɂ

mWn
vځ@@񏤕iԂ͓̌̉IȒ`BZZ@lƋHƂ̔ᐫB~]ȐsAȏꍇɊւ闯ہBZ@ľƂĂ̋HBl͑ΓIłAH͐ΓIłBlIH݂ȂBϓIHBZ@񏤕ȋΓIi̕ϓBϓ̎lB̌ؖ\BZO@ύti̕ϓ̖@B
mŎIn

@@̔@A͂l߂΁ApȐƏLʂƂsꉿi̐Ȃ킿ύti̐ɕKvɂĂ[ȂvfłB̗vfA܂IтɑSvȐwIɏoĂ邪A̗ŔAelɎȂ̗~]̍ő喞𓾂悤Ɠw߂鎖邩łBɕIyёSvȐAsꉿiȂ킿ύtiwIɏoĂ̂ł邪A̗ŔAsɂ͗B̉iȂ킿SLvƑSLƂ𑊓炵߂鉿i蓾Ȃ邩łB΁Ael͎^鏊̕ɔႵĎ󂯂˂΂ȂȂ܂󂯂鏊̕ɔႵė^˂΂ȂȂƂ邩łB
@āAR̍ssɂē񏤕i̊ԂɍśmuR̍ssɂē񏤕i̊ԂɍśvɖT_nA񏤕îꂩׂ̂Ă̏L҂Ȃ܂͑ôׂĂ̏L҂Ȃ肪mu񏤕îꂩׂ̂Ă̏L҂Ȃ܂͑ôׂĂ̏L҂Ȃ肪vɖT_nAʂɂē̔䗦Łmuʂɂē̔䗦ŁvɖT_nA鏊̏i^̏i󂯂̉ɂāmu鏊̏i^̏i󂯂̉ɂāvɖT_nAel̗~]̍ő喞𓾂邱Ƃ̏osłmuel̗~]̍ő喞𓾂邱Ƃ̏osłvɖT_nB
@ЉIx̗_̎ȖړÍA̖ʉAꂪ܂A񏤕iԂ̌ƓlɁȀiԂ̌ɂʂ̂łA܂ɂƓAY̎Ȑꍇɂʂ̂ł邱Ƃ𖾂炩ɂɂBЉIx̐Y̗_̎ȖړÍA̖肩A𓱂oA_ƍHƋyяƂ̑gD̖@̖肩炢ɂďoĂ邩ɂBA̖͏oϊwApoϊŵׂĂт̂łƁA悤B
@ZZ@vamuav͉tn, vbmubv͉tn ͏ii`jyсiaǰlłA̔͋ύtsꉿiAra,1mua,1v͉tn, rb,1mub,1v͉tn, ra,2mua,2v͉tn, rb,2mub,2v͉tn, ra,3mua,3v͉tn, rb,3mub,3v͉tn cc͌ҁiPjAiQjAiRjccɂ̋HȂ킿[ꂽŏI̗~]̋xł邩Aő喞̒藝ɂAҁiPjɂƂẮA
mSn
mifig45210_063.pngjn
mŎIn
łAҁiQjɂƂẮA
mSn
mifig45210_064.pngjn
mŎIn
łAҁiRjɂƂẮA
mSn
mifig45210_065.pngjn
mŎIn
łBcĉ
mSn
mifig45210_066.pngjn
mŎIn
łB܂̂悤ɕ\킷ƂoB
mSn
@@vamuav͉tn:vbmubv͉tn
::ra,1mua,1v͉tn:rb,1mub,1v͉tn
::ra,2mua,2v͉tn:rb,2mub,2v͉tn
::ra,3mua,3v͉tn:rb,3mub,3v͉tn
:: cc cc
mŎIn
@Ȃӂ˂΂ȂʂAi̒PʂŏA]ė~]ȐsAł΁AH̕\̒Ɋɒm悤Ɂi攪O߁jA[ꂽŌ̗~]̋xƏ[Ȃŏ̗~]̕ςɂقڋ߂ፀɖڗ悤ɋL˂΂ȂʁB
@܂AH̔̂܂͑ɂāA̓񍀒̈邱Ƃ\łBႦΏLҁiQj́Ai pamuav͉tn łƂ́Ai`j̎v҂łȂƂ蓾悤B̏ꍇɂ͂̐lɂƂāi`j̋H͂蓾ȂBȂȂ ra,2mua,2v͉tn ̍́ȀL҂i`j̍ŏ̗~]̋x r,2mur,2v͉tn Ȃ鍀 pamuav͉tnrb,2mub,2v͉tn ɂĒu˂΂Ȃʂłi攪Z߁jB܂ႦΏLҁiRjApamuav͉tn ̉iɂĂׂ͂Ă𓊂āi`jvlłꍇ蓾BȂ킿iaj̏Lʂ܂݂͑̑Sʂ̋҂łꍇ蓾B̏ꍇɂ́A̐lɂƂẮAiaj̋H͂ȂA[ꂽ~]ȂłB rb,3mub,3v͉tn ͂̏L҂iaj̍ŏ̗~]̋x r,3mur,3v͉tn Ȃ鍀 pbmubv͉tnra,3mua,3v͉tn ɂĒu˂΂Ȃʁi攪߁jBƂ pamuav͉tnrb,2mub,2v͉tn, pbmubv͉tnra,3mua,3v͉tn ̍ʂɓāA̕\̒ɋLƂo悤B̂Ƃ͋H͏[ꂽmu[ꂽvɖT_n܂͏[˂΂Ȃʁmu[˂΂ȂʁvɖT_nŌ̗~]̋ƒ`˂΂ȂʁB
@̗ۂ΁A͎̖𗧂Ă邱ƂoB
@sꉿi܂͋ύti͋H̔ɓmusꉿi܂͋ύti͋H̔ɓvɖT_nB̌tł΁A
@l͋HɔႷmul͋HɔႷvɖT_nB
@Z@񏤕i̊ԂɍsɊւA̐wI_̌̓ɁA͈̖ړI߂ilZ߁jB́AoϊwyюЉoϊw̖ړIƕ戵҂łȂ悤ɁAHoČlɓȂŁAloċHɓ낤Ƃ邱ƂłB͂ɂ̖ړIBBہAɌ悤ȋHȂ킿[ꂽŌ̗~]̋x́AɎpƌꂽʂƂ̓Ē`Hi߁jɑSvB镨ɗ~]AOpxpȂA΁A̕p̂Ȃv̂̂łƂA[ꂽŌ̗~]Ƃ̂͂蓾ȂB܂pȐĂĂAOpȂʂɂđ݂AȂ킿ʂɂĖłȂ΁A[ꂽŌ̗~]̋x͂蓾ȂBAłH́AɂHɑȂȂBāÂƂ́AH]傳ƍlA܂lɔ݂̂łȂKRIɂɔႷ邱ƂdʂʂƔႷ@łꍇɂ̂݁A蓾̂łBƂŋHƌlƂAɑ݂ۂ̌ۂł邱ƂƂAɋH͌ľłB
@l͏dʂ̂悤ɑΓImuΓIvɖT_nłAH͎ʂ̂悤ɐΓImuΓIvɖT_nłB񏤕ii`jAiajÄpƂȂA܂͗pĂʂɂĖƂȂ΁A͂͂Hł͂ȂAlȂB̏ꍇɂ́ȀilȂȂB̏i͋HłȂȂ͂ȂBL҂łlX̊eXɂĎX̒xɋHłAꂼ̋H̂łB
@͂ɏL҂łlX̊eXɂĂƂB܂ƂɁAi`ji܂́iaji̋HƂ悤ȈʓIȂ̂͂蓾ȂB]āi`j̋H́iaj̋Hɑ΂ʓIA܂́iaj̋H́i`j̋Hɑ΂ʓIȂ̂A񂠂蓾ȂBi`j܂́iaj̏LҁiPjAiQjAiRjccɑ΂邱珤ȋ̋HA珊L҂ɑ΂i`j̋H́iaj̋Hɑ΂鑽̔䂪݂̂łBHmuHvɖT_n͌lIłAϓImuϓIvɖT_nłBl͌ImuIvɖT_nłAqϓImuqϓIvɖT_nłBAHALvALʂ𑬗́Aʉ߂ԁAʉ߂ɗvԂɑΔ䂵A܂͂Ԃʉ߂ɗpꂽԂɑ΂ʉߋ̓ƒ`悤ɁAHALʂɑ΂Lp̓ƒ`̂́Aꂼ̌X̐lɂĂłB
@i`ji̋Hʂ܂́iaji̋Hʂ̂悤Ȃ̂l悤Ƃ΁Åelɂ邱珤i̊eX̋H̎Zpςł镽ϋHƂ葼͂ȂB̊TO͂^ꂽɂ镽ϐgAώƂ悤Ȃ̂ŁAُȂ̂ł͂ȂAꍇɂ͂͂Ȃ͂LvȂƂB̕ϋH܂lɔႷB
@Z@oϊw̗_ƂAύti̖̐@𗧂ĂɕKvȎԂ̊ԁAi̗vfsςłƉ肷̂́A_ƂƂĂ̌łBǂЂƂт̎dI΁Ai̗vf͖{Iɂ͂Ȃ͂ω̂ł邱ƂzNA]ċύti̕ω̖@𗧂Ă˂΂ȂʂƂ́A_Ƃ̋`łB͂ɂȂ˂΂ȂʎcꂽłB̑̎d͒ɂ̑̎dɓBi̗vf͂܂iϓ̗vfł邩łBi̗vf͏i̗pƁA珤ȉLʂƂłB̂ɂ͂܂iϓ̑ꌴłAłB
@̎sŁAi`jƁiajƂ̌A܂Aq̎sꉿiȂ킿iajŕ\킵i`j̉imifig45210_007.pngjnAi`jŕ\킵iaj̉i  ōsAɁAʂȉiȂ킿iajŕ\킵i`j̉imifig45210_067.pngjnAi`jŕ\킵iaj̉i ' ōsꂽƑz΁Ải̕ώA̎l̌̈܂͐ӁA܂͑Ŝ痈ĂƂ悤B
@Ai`ji̗p̕ωB
@Ai`jȉL҂̈l܂͑L邱̏i̗ʂ̕ωB
@OAiaji̗p̕ωB
@lAiajȉL҂̈l܂͑L邱̏i̗ʂ̕ωB
@̎͐ΓIłāAmɌ肵BۂɂĂ͂̌͑ł邪A_Iɂ́As\łƂR͂ȂBׂĂ̌҂ɂA̕IvȐ̗vf̊ϓ_璲s΁A͒ɉBĉiϓ̎匴݂̂Aώ@҂̒ӂꍇBႦ΁iajî钘ƓɁAi   ' ɓMƑzA܂͂̏ȋݗʂ̈ꕔRÎɂĔj󂹂ƓɁAi   ' ɕωƑz΁A͂̏o̊eX˔IɗiM̌ƂȂ𓾂Ȃł낤BlX~ȂŉȂƂ͂蓾邱ƂłAiϓ̎匴Ə̌ɂĂ΂΂悤ȏꍇB
@ZO@ύtAe҂́iajŕ\킵i`j̎sꉿimifig45210_007.pngjnAi`jŕ\킵iaj̎sꉿi  ɂāAő喞^鏊̂ꂼ̗ʂ́i`jyсiajLĂƂB̏Ԃ͋H̔ƉiƂƂɂđ݂̂łāA炪Ȃ悤ɂȂ΁A݂ȂBő喞̏ԂɂėpƏLʂ̕ωɂĖW邩A܂̖WQ͂Ȃ錋ʂ؂炷悤B
@p̕ω͎XȗLlōs꓾BxpAOp邱Ƃ蓾΁A܂̔΂蓾Bc̓_ɂĈʓI𗧂Ăɂ́A̒ӂvB玄́Ap̑܂͌mup̑܂͌vɖT_nƂ\Aɂ[ꂽŌ̗~]̋xȂ킿H̑̌ʂ𐶂߂~]Ȑ̈ړӖ߂邽߂ɂ̂ݗpƎvBꂾ𗹒māAҒBɑ΂iaj̗p̑Ȃ킿iaj̋H̑𐶂߂iaj̗~]Ȑ̈ړƑzB̂Ƃɂ́A͂₱̌҂ɂƂő喞ł͂ȂBĂ̐lɂƂẮA݂ɋtȎsꉿimifig45210_007.pngjny  ɂāAi`jAiajv̂vłBɂ͉imifig45210_007.pngjny  ɂē񏤕i̎vƋƂ̂ł邩A͂̉iɂẮAiaj̎v͋łAi`j͎̋vłB pbmubv͉tn ͓MApamuav͉tn ͉B̂ƂǍ҂ɂƂĂő喞ł͂蓾ȂB̐lXɂƂẮAi`jŕ\킵iaj̉i  łAiajŕ\킵i`j̉imifig45210_007.pngjn菬łȂ΁AiajāAi`jv̂LłBύt̂́A Ȃiaj̉iɂāA܂mifig45210_007.pngjn菬Ȃi`j̉iɂāA񏤕i̎vƋƂƂłBĐ̂lXɑ΂iaj̗p̑͂̌ʂƂāiaj̉i𓫋M߂B
@iaj̗p̌̌ʂƂāiaj̉i߂ł낤Ƃ͖炩łB
@Lʂ̑܂͌̌ʂƂċH܂͑̂ɂ́A~]Ȑ΂悢BċH܂͑΁Ai͉܂͓M邱Ƃ͊ɏqׂ@łB珊Lʂ̕ω̉éAp̕ω̉eɏɂPɔ΂łB̂Ɏ́A߂@̌tł\킷ƂoB
@sɂē񏤕iύtԂɂmusɂē񏤕iύtԂɂvɖT_nAׂ̂Ă̎Ɏ~܂Ȃmuׂ̂Ă̎Ɏ~܂ȂvɖT_nA񏤕ï̏i̗pL҂̈l܂͑ɑ΂܂͌΁mu񏤕ï̏i̗pL҂̈l܂͑ɑ΂܂͌΁vɖT_nȀỉlƂ̏ỉlƂ̔䂷Ȃ킿̏ỉi͍܂͉mȕỉlƂ̏ỉlƂ̔䂷Ȃ킿̏ỉi͍܂͉vɖT_nB
@܂ׂĂ̎Łmu܂ׂĂ̎ŁvɖT_nA񏤕i̒̈ꏤi̗ʂL҂̈l܂͑ɂđ܂͌΁Ȁỉi͉܂͍mu񏤕i̒̈ꏤi̗ʂL҂̈l܂͑ɂđ܂͌΁Ȁỉi͉܂͍vɖT_nB
@ȂA̖Ɉڂɐ旧ĒӂׂƂ́Ai̕ῶ牿i̗vf̕ωKRIɎĂ邯ǂAƔ΂ɁAiɕωȂ͉̂i̗vfɕωȂƂKRIɎ̂ł͂ȂƂƂłBۉX́Aʂɏؖ邱ƂȂA̓̖𗧂Ă邱ƂoB
@񏤕i^mu񏤕i^vɖT_nA񏤕i̒̈̌܂͏L҂̈l܂͑ɑ΂闘pyїʂωĂmu񏤕i̒̈̌܂͏L҂̈l܂͑ɑ΂闘pyїʂωĂvɖT_nAHωʂƂ΁muHωʂƂ΁vɖT_nȀỉlƂ̏ỉlƂ̔䂷Ȃ킿̏ỉi͕ωȂmȕỉlƂ̏ỉlƂ̔䂷Ȃ킿̏ỉi͕ωȂvɖT_nB
@܂mu܂vɖT_nA񏤕ǐ҂܂͏L҂̈l܂͑ɑ΂邱񏤕i̗pƗʂƂωĂmu񏤕ǐ҂܂͏L҂̈l܂͑ɑ΂邱񏤕i̗pƗʂƂωĂvɖT_nAH̔䂪ωȂ΁A񏤕ỉi͕ωȂmuH̔䂪ωȂ΁A񏤕ỉi͕ωȂvɖT_nB
mn
@@Oҁ@̏i̊Ԃɍs̗_
mn

@@@@\́@̏i̊Ԃɍs̖B
@@@@@@@@@ʋύt̒藝

mWn
vځ@Zl@񏤕iԂ̌̏ꍇɊւL̈ʉBZ܁@OiԂ̌BZZ@Iv̕Ƒv̕BZ@̕BZ@iԂ̌BvBZ@̕BZ@iԂ̖̌͑㐔wIɒ񎦂邪A􉽊wIɂ͒񎦂ȂB@ʋύt̏BAOAl@mifig45210_068.pngjny >1 ̉BْiaA`AbjAi`AbAajAibAaA`jBpa,bmua,bv͉tn ̉Bpb,amub,av͉tn ̉Bpc,amuc,av͉tn ̓MB܁@>1At̑ƌʁBʋύtBZ@ׂ̂Ă̏i𔽑΋tƂei̎vƋ̋ϓ̕Ȁi̊eX𔽑΋tƂei̎vƋ̋ϓ̕ɒu邱ƁB
mŎIn

@Zl@Ai`jAiaj񏤕i̊Ԃ̌̌Ai`jAiajAibjAicjcc̑̏i̊Ԃ̌̌Ɉڂ낤B̌̂߂ɂ́A܂A҂ꏤȉL҂ɉ߂ȂꍇlAɂ̏ꍇ̕KɈʉ΂悢B
@AiajĂi`j̗Lv Da,bmua,bv͉tn ƌĂсAi`jĂiaj̗Lv Db,amub,av͉tn ƌĂсAiajŕ\킵i`j̉i pa,bmua,bv͉tnmua,bv͒{ł́ub,avn ƌĂсA܂i`jŕ\킵iaj̉i pb,amub,av͉tn ƌĂԂƂƂBΎl̖m Da,bmua,bv͉tn, Db,amub,av͉tn, pa,bmua,bv͉tnmua,bv͒{ł́uabvn, pb,amub,av͉tn ̊ԂɁALv̓̕
mSn
Da,bmua,bv͉tn=Fa,bmua,bv͉tn(pa,bmua,bv͉tn)
Db,amub,av͉tn=Fb,amub,av͉tn(pb,amub,av͉tn)
mŎIn
ƁALvƗL̋ϓ̕
mSn
Db,amub,av͉tn=Da,bmua,bv͉tnpa,bmua,bv͉tn
Da,bmua,bv͉tn=Db,amub,av͉tnpb,amub,av͉tn
mŎIn
Ƃ蓾킯łBđO̓񎮂́A􉽊wIɂ́A̋ȐɂĎA̓񎮂́A̋Ȑ̂ɓ̋`悫A̒ӂ̔̋tɓ炵߁A܂͖ʐς̔ɓ炵߂悤ɂ邱ƂɂĎi܎߁jB
@Z܁@Ă񏤕ii`jAiaj̏ꍇA܂i`jAiajAibjOȉꍇɓ]悤B̂߂Ɏ́A珤ii`jgÄꕔnāiaji𓾂悤ƂA܂̈ꕔnāibji𓾂悤ƂlXAiajiLÄꕔnāi`j𓾂悤ƂA܂̈ꕔnāibji𓾂悤ƂĂlXAXɑ̈ibjiLÄꕔnāi`ji𓾂悤ƂA܂̈ꕔnāiaji𓾂悤ƂĂlX鏊̈̎slĂ݂B
@ꂾOƂāA̐lX̂Ⴆ΁iaj̈ꏊL҂ƂAɂȂ_i܁Z߁jWJƁAł܂Ǎl̂グ̌XɊm肹꓾Ƃ悤B
@ہAiaj qbmubv͉tn ʂLÂ̂ ob,amub,av͉tn i`ĵ da,bmua,bv͉tn ƕ
mSn
da,bmua,bv͉tnvamuav͉tn=ob,amub,av͉tnvbmubv͉tn
mŎIn
ɏ]Č悤ƂA܂̂ ob,cmub,cv͉tn ibĵ dc,bmuc,bv͉tn ƕ
mSn
dc,bmuc,bv͉tnvcmucv͉tn=ob,cmub,cv͉tnvbmubv͉tn
mŎIn
ɏ]Č悤ƂĎsɌĺAi`j da,bmua,bv͉tn ʂƁibj dc,bmuc,bv͉tn ʂƂ𓾂ƋɁAiaĵʂȂ킿
mSn
mifig45210_069.pngjn
mŎIn
cċAĂł낤Bė qbmubv͉tn, mifig45210_016.pngjn ܂ pa,bmua,bv͉tn, da,bmua,bv͉tn, mifig45210_070.pngjn ܂ pc,bmuc,bv͉tn, dc,bmuc,bv͉tn  y Ƃ̊Ԃɂ́AɁA
mSn
qbmubv͉tn=y+da,bmua,bv͉tnpa,bmua,bv͉tn+dc,bmuc,bv͉tnpc,bmuc,bv͉tn
mŎIn
̊֌WB
@́iaj̏L҂́AsɓȑOɂ́Amifig45210_016.pngjnȂ킿 pa,bmua,bv͉tn yсmifig45210_070.pngjnȂ킿 pc,bmuc,bv͉tn Ȃ̂ł邩mȂBsɓƓɂm悤ɂȂ邱Ƃ͊młAx pa,bmua,bv͉tn y pc,bmuc,bv͉tn ̒lmꂽƂ΁Ada,bmua,bv͉tn, dc,bmuc,bv͉tn ̒l肹AŐɎɂāA̒l܂肷邱Ƃ͊młBApa,bmua,bv͉tn ݂̂łȂ pc,bmuc,bv͉tn mȂ da,bmua,bv͉tn 肵ȂA܂ pc,bmuc,bv͉tn ݂̂łȂ pa,bmua,bv͉tn mȂ dc,bmuc,bv͉tn 肵ȂB͂F߂˂΂ȂʁB܂Apa,bmua,bv͉tn  pc,bmuc,bv͉tn Ƃm΁AɂāAda,bmua,bv͉tn  dc,bmuc,bv͉tn Ƃ肹邱ƂF߂𓾂ȂB
@ZZ@ƂŁAł܂Ada,bmua,bv͉tn y dc,bmuc,bv͉tn Ƃ珤ỉiƂ̒ڊ֌WAȂ킿iajĂi`j̗Lvyсibj̗Lv pa,bmua,bv͉tn, pc,bmuc,bv͉tn Ƃ̒ڊ֌WAwŕ\킷Ƃ͗eՂłB̊֌ẂA̐l̂グ̌Xɑ̂ł邪A͓̕
mSn
da,bmua,bv͉tn=fa,bmua,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn)
dc,bmuc,bv͉tn=fc,bmuc,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn)
mŎIn
ɂČɕ\킳BlɂāAiaj̑̏L҂́i`jyсibjɑ΂邹グ̌X\킷𓾂邱ƂoBčŌɁAIv̂̕Pɍv邱ƂɂāAiaĵׂĂ̏L҂̂グ̌Xv̓̕
mSn
Da,bmua,bv͉tn=Fa,bmua,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn)
Dc,bmuc,bv͉tn=Fc,bmuc,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn)
mŎIn
B
@lɂāibj̏L҂̑Ŝグ̌X\킷v̓̕
mSn
Da,cmua,cv͉tn=Fa,cmua,cv͉tn(pa,cmua,cv͉tn, pb,cmub,cv͉tn)
Db,cmub,cv͉tn=Fb,cmub,cv͉tn(pa,cmua,cv͉tn, pb,cmub,cv͉tn)
mŎIn
B
@lɂāAŌɁi`j̏L҂̑Ŝグ̌X\킷v̓̕
mSn
Db,amub,av͉tn=Fb,amub,av͉tn(pb,amub,av͉tn, pc,amuc,av͉tn)
Dc,amuc,av͉tnmuc,av{ł́ub,avn=Fc,amuc,av͉tn(pb,amub,av͉tn, pc,amuc,av͉tn)
mŎIn
B
@Z@̊OɁAiajƁi`j܂́ibjƂ̌̓̌
mSn
Db,amub,av͉tn=Da,bmua,bv͉tnpa,bmua,bv͉tn
Db,cmub,cv͉tn=Dc,bmuc,bv͉tnpc,bmuc,bv͉tn
mŎIn
B
@܂AibjƁi`j܂́iaǰ̓̌
mSn
Dc,amuc,av͉tn=Da,cmua,cv͉tnpa,cmua,cv͉tn
Dc,bmuc,bv͉tn=Db,cmub,cv͉tnpb,cmub,cv͉tn
mŎIn
B
@ŌɁAi`jƁiaj܂́ibjƂ̌̓̌
mSn
Da,bmua,bv͉tn=Db,amub,av͉tnpb,amub,av͉tn
Da,cmua,cv͉tn=Dc,amuc,av͉tnpc,amuc,av͉tn
mŎIn
B
@ǁAOîꂼŕ\킵iZƁA݂ɌOîꂼ̌vʘZƍāA\̖m̊ԂɁA\̕藧B
@Z@܂sɁAi`jAiajAibjAicjcc̏iƂB̏ꍇɂA񏤕iyюOȉꍇɂȂƓ_\\JԂqׂ͖̂pł낤\\ɂāA܂i`jĂiajAibjAicjcc̗Lv̕ m-1 
mSn
Db,amub,av͉tn=Fb,amub,av͉tn(pb,amub,av͉tn, pc,amuc,av͉tn, pd,amud,av͉tn cc)
Dc,amuc,av͉tn=Fc,amuc,av͉tn(pb,amub,av͉tn, pc,amuc,av͉tn, pd,amud,av͉tn cc)
Dd,amud,av͉tn=Fd,amud,av͉tn(pb,amub,av͉tn, pc,amuc,av͉tn, pd,amud,av͉tn cc)
cccccccccccccc
mŎIn
𓾂邱ƂoB܂iajĂi`jAibjAicjcc̗Lv̕ m-1 
mSn
Da,bmua,bv͉tn=Fa,bmua,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn, pd,bmud,bv͉tn cc)
Dc,bmuc,bv͉tn=Fc,bmuc,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn, pd,bmud,bv͉tn cc)
Dd,bmud,bv͉tn=Fd,bmud,bv͉tn(pa,bmua,bv͉tn, pc,bmuc,bv͉tn, pd,bmud,bv͉tn cc)
cccccccccccccc
mŎIn
𓾂BXɂ܂ibjĂi`jAiajAicjcc̗Lv̕ m-1 
mSn
Da,cmua,cv͉tn=Fa,cmua,cv͉tn(pa,cmua,cv͉tn, pb,cmub,cv͉tn, pd,cmud,cv͉tn cc)
Db,cmub,cv͉tn=Fb,cmub,cv͉tn(pa,cmua,cv͉tn, pb,cmub,cv͉tn, pd,cmud,cv͉tn cc)
Dd,cmud,cv͉tn=Fd,cmud,cv͉tn(pa,cmua,cv͉tn, pb,cmub,cv͉tn, pd,cmud,cv͉tn cc)
cccccccccccccc
mŎIn
𓾂邱ƂoBXɂ܂icjĂi`jAiajAibjcc̗Lv̕ m-1 
mSn
Da,dmua,dv͉tn=Fa,dmua,dv͉tn(pa,dmua,dv͉tn, pb,dmub,dv͉tn, pc,dmuc,dv͉tn cc)
Db,dmub,dv͉tn=Fb,dmub,dv͉tn(pa,dmua,dv͉tn, pb,dmub,dv͉tn, pc,dmuc,dv͉tn cc)
Dc,dmuc,dv͉tn=Fc,dmuc,dv͉tn(pa,dmua,dv͉tn, pb,dmub,dv͉tn, pc,dmuc,dv͉tn cc)
cccccccccccccc
mŎIn
B̂悤ɂāA m(m-1) ̕B
@Z@AV邱ƂȂAi`jƁiajAibjAicjccƂ̌̌ m-1 
mSn
Da,bmua,bv͉tn=Db,amub,av͉tnpb,amub,av͉tn
Da,cmua,cv͉tn=Dc,amuc,av͉tnpc,amuc,av͉tn
Da,dmua,dv͉tn=Dd,amud,av͉tnpd,amud,av͉tn
ccccccc
mŎIn
𗧂Ă邱ƂoB܂iajƁi`jAibjAicjccƂ̌ m-1 
mSn
Db,amub,av͉tn=Da,bmua,bv͉tnpa,bmua,bv͉tn
Db,cmub,cv͉tn=Dc,bmuc,bv͉tnpc,bmuc,bv͉tn
Db,dmub,dv͉tn=Dd,bmud,bv͉tnpd,bmud,bv͉tn
ccccccc
mŎIn
𗧂Ă邱ƂoBXɂ܂ibjƁi`jAiajAicjcč̕ m-1 
mSn
Dc,amuc,av͉tn=Da,cmua,cv͉tnpa,cmua,cv͉tn
Dc,bmuc,bv͉tn=Db,cmub,cv͉tnpb,cmub,cv͉tn
Dc,dmuc,dv͉tn=Dd,cmud,cv͉tnpd,cmud,cv͉tn
ccccccc
mŎIn
𗧂Ă邱ƂoBXɂ܂icjƁi`jAiajAibjcč̕ m-1 
mSn
Dd,amud,av͉tn=Da,dmua,dv͉tnpa,dmua,dv͉tn
Dd,bmud,bv͉tn=Db,dmub,dv͉tnpb,dmub,dv͉tn
Dd,cmud,cv͉tn=Dc,dmuc,dv͉tnpc,dmuc,dv͉tn
ccccccc
mŎIn
BȂ킿 m(m-1) ̌𗧂Ă邱ƂoB
@ m(m-1) ̌ m(m-1) ̗Lv̕ƂA2m(m-1) ̕BƂŖm܂ 2m(m-1) łB݂Ɍ邍̏iɑ΂ẮAm(m-1) ̉i m(m-1) ̌vʂƂ邩łB
@Z@̓̏ꍇł񏤕iԂ̌̏ꍇyюOi݊Ԃ̌̏ꍇɂ́ÁA􉽊wIɂA㐔IɂA꓾BȂȂ炱̏ꍇɂ́Av̔􉽊wIɕ\꓾邩łB񏤕ǐ̏ꍇɂ́Av͈ϐ̔łāA̋Ȑɂĕ\킳꓾BOǐ̏ꍇɂ́Av͓̕ϐ̔łāAZ̖ʐςɂĕ\킳꓾BȌꍇ̊􉽊wI@́AȐ̂ɒPɋ`悭Ƃɂ邵Ȁꍇ̂͋ȖʂƕʂƂ炵߂ēȐ̂ɋ`悭ƂɂB
@ɈʓIȏꍇɂ́Av̔ m-1 ̕ϐ̔łāAԂ̂ɂ͕\킵ȂB̏ꍇ̖肪A􉽊wIɂł͂ȂA㐔IɒoAȂ΂ȂȂR͂ɂijmuijv͍sEnBłYĂ͂ȂȂAoAƂ́A^邢ȂꍇɂAۂɉ̂ł͂ȂāAsɌoIɗ^ꂩĂ̐ȊwIɉ߂Ƃ̂ƂłB̊ϓ_猩ƁA㐔I@͊􉽊wI@Ɠ̉lƂȏɁA͓I@̗p΁AstꂽʓIŉȊwIȉ@̗pƂƂo悤B
@@̂悤ɂđ̏i̊Ԃ̖͉̌悤ɌB͔΂ĂȂBɌ肵̉ł́Asɓ̏ỉîύt킯łB͕sSύtɉ߂ȂBs̊Sύtmus̊SύtvɖT_nike'quilibre parfaitlj܂͈ʓIύtmu܂͈ʓIύtvɖT_nike'quilibre ge'ne'rallj́ACӂ̓̏ïŕ\킵imuCӂ̓̏ïŕ\킵ivɖT_nACӂ̑Ȍiŕ\킵炻ꂼ̏ỉi̔ɓȂ΁muCӂ̑Ȍiŕ\킵炻ꂼ̏ỉi̔ɓȂ΁vɖT_nAȂmuȂvɖT_nBؖ˂΂ȂȂÂ߂ɗႦΑ̏i̒́i`jAiajAibj̎O̂Ai pc,bmuc,bv͉tn ́Ai pc,amuc,av͉tn  pb,amub,av͉tn Ƃ̔ł邩܂͂菬łƑzAꂩ炢Ȃ錋ʂ邩悤B
@_̐m邽߁AׂĂ̏ii`jAiajAibjAicjcčssƂĖ𗧂ꏊA񏤕i镔IsɕƑzB̕\Ă΁AsꂪA鏤i̖̋yяɋL̃VXeɂĐwIɌ肹鉿iwWċʂmifig45210_071.pngjn̓ʂ̎sɕƁAzB΁g݂ɋt̉i pa,bmua,bv͉tn, pb,amub,av͉tn ōsi`jƁiajAiajƁi`jƂ̌hAg݂ɋt̉i pa,cmua,cv͉tn, pc,amuc,av͉tn ōsi`jƁibjAibjƁi`jƂ̌hAg݂ɋt̉i pb,cmub,cv͉tn, pc,bmuc,bv͉tn ōsiajƁibjAibjƁiajƂ̌hA킯łBꂾOƂAAiajyсibj~i`j̊eL҂Ȇyё̓ʎsŁÁi`jiajyсibjƌɎ~܂Ƃ΁A܂Ai`jyсibj~iaj̊eL҂ȆyёO̓ʎsŁÁiaji`jyсibjƌɎ~܂Ƃ΁A܂i`jyсiaj~ibj̊eL҂yёO̓ʎsŁÁibji`jyсiajƌɎ~܂Ƃ΁Aύt͂̏Ԃ̉ɂĕۂBeՂɗ悤ɁAi`j̏L҂Aiaj̏L҂Aibj̏L҂Ǎ̕@̗pȂł낤Bނ͂AɍłLł낤̕@Ōsł낤B
@@ŁA܂ >1 łƂA
mSn
mifig45210_072.pngjn
mŎIn
Ȃ킿
mSn
mifig45210_073.pngjn
mŎIn
łƉ肷B
@̕Aiajŕ\킵ibj̐^̉íApc,bmuc,bv͉tn ł͂ȂāAmifig45210_074.pngjnłƂʂoĂBȂȂAii`Aaj̎sɂāAiajŕ\킵i`j̉imifig45210_075.pngjnłƂɂ́Aiaj́mifig45210_074.pngjnŁAi`j́mifig45210_076.pngjn邩łAii`Abj̎sɂāAi`jŕ\킵ibj̉imifig45210_077.pngjnłƂ́Ai`j́mifig45210_076.pngjnŁAibj́mifig45210_073.pngjn邩łB
@܂i`jŕ\킵iaj̐^̉i pb,amub,av͉tn ł͂ȂāAmifig45210_078.pngjnłƂʂoĂBȂȂAii`Abj̎sɂāAi`jŕ\킵ibj̉imifig45210_077.pngjnłƂɂ́Ai`j́mifig45210_078.pngjnŁAibj́mifig45210_079.pngjnAiiaAbj̎sɂāAibjŕ\킵iaj̉imifig45210_080.pngjnłƂɂ́Aibj́mifig45210_079.pngjnŁAiaj́mifig45210_081.pngjn邩łB
@Ōɂ͂܂Aibjŕ\킵i`j̉i pa,cmua,cv͉tn ł͂ȂAmifig45210_082.pngjnłBȂȂAiiaAbj̎sɂāAibjŕ\킵iaj̉imifig45210_080.pngjnłƂAibj́mifig45210_082.pngjnŁAiaj́mifig45210_083.pngjnAii`Aaj̎sɂāAiajŕ\킵i`j̉imifig45210_075.pngjnłƂAiaj́mifig45210_083.pngjnŁAi`j́mifig45210_084.pngjn邩łB
@O@̓_̓IɂĖ炩ɂ邽߁Apc,bmuc,bv͉tn=4, pc,amuc,av͉tn=6, pb,amub,av͉tn=2 łƉ肷΁A=1.33 ƂȂBΎ
mSn
mifig45210_085.pngjn
mŎIn
Aiajŕ\킵ibj̐^̉i͂Sł͂ȂAmifig45210_086.pngjnłƂʂoĂBȂȂAii`Aaj̎sɂāiajŕ\킵i`j̉imifig45210_010.pngjnłƂ́AiaĵRŁAi`j 3~2=6 A܂ii`Abj̎sɂāAi`jŕ\킵ibj̉iUłƂɂ́Ai`ĵUŁAibj́mifig45210_087.pngjn邩łB
@Ȃ܂Ai`jŕ\킵iaj̐^̉i͂Qł͂ȂAmifig45210_088.pngjnłƂʂoĂBȂȂAii`Abj̎sŁAi`jŕ\킵ibj̉iUłƂ́Ai`j 1.50 ŁAibj́mifig45210_089.pngjnAiiaAbj̎sɂāAibjŕ\킵iaj̉imifig45210_090.pngjnłƂ́Aibj́mifig45210_090.pngjnŁAiaj́mifig45210_091.pngjn邩łB
@m󔒂͒{ł͌nŌɂ܂ibjŕ\킵i`j̐^̉ímifig45210_092.pngjnł͂ȂāAmifig45210_093.pngjnłƂʂoĂBȂȂAiiaAbj̎sɂāAibjŕ\킵iaj̉imifig45210_090.pngjnłƂ́Aibj́mifig45210_094.pngjnŁAiaj́mifig45210_095.pngjnAii`Aaj̎sɂẮAiajŕ\킵i`j̉imifig45210_010.pngjnłƂ́Aiaj́mifig45210_010.pngjnŁAi`j́mifig45210_096.pngjn邩łB
@l@ŁAi`jAiajAibj̊eL҂̂҂́Ai`jƁiajƂ̒ړIASOȂAi`jƁibjyсAibjƁiajƂ̊ԐړIɑウA܂鑼̎҂́AiajƁibjƂ̒ړIASOȂAiajƁi`jyсi`jƁibjƂ̊ԐړIɕω߁A܂̂҂́AibjƁi`jƂ̒ړIASOȂAibjƁiajyсiajƁi`jƂ̊ԐړIɕω߂B̊ԐړIْ͍iarbitragejƌĂ΂BĔނ́AēߖAv܂܂ɎX̗~]ɔzAo邾őʂ̖悤ɁA鏤i⑫B́A̍ő喞̏ƂoB́A[ꂽŌ̗~]̋x̔䂪Aْ肩琶^̉iɓƂƂłB̍l@ɓ邱ƂȂA̕[Iv͎傽v̂悤ɂȂ̂ł邱Ƃ𒍈ӂ̂őł낤BȂ킿̕[Iv̏ꍇɂAi`j̏L҂́Ai`jƁibjAibjƁiajƂAi`jƁiajƂȂBiaj̏L҂́AiajƁi`jAi`jƁibjƂAiajƁibjƂȂBibj̏L҂́AibjƁiajAiajƁi`jƂAibjƁi`jƂȂB̂悤ɂāAi`Aaj̎sł́AɁi`j̎vƁiaj̋Ƃ邪Aiaj̎vƁi`j̋Ƃ͂ȂB pb,amub,av͉tn ͉Bi`Abj̎sł́AɁibj̎vƁi`j̋邪Ai`j̎vibj̋͂ȂB pc,amuc,av͉tn ͓MBiaAbj̎sł́AɁiaj̎vƁibj̋Ƃ邪Aibj̎vƁiaj̋ƂȂB pc,bmuc,bv͉tn ͉B
@܁@ŉ悤ɁAmifig45210_097.pngjnłꍇɂ́As̋ύt͌IȂ킿ʓIł͂ȂBْ肪sǍ pc,bmuc,bv͉tn ͉Apc,amuc,av͉tn ͓MApb,amub,av͉tn ͉B܂ɉ悤ɁAmifig45210_098.pngjnłꍇɂ́Asɂčْ肪sǍ pc,bmuc,bv͉tn ͓MApc,amuc,av͉tn ͉Apb,amub,av͉tn ͓MBۂ̏ꍇɂ <1 Ƃ΁A
mSn
mifig45210_099.pngjn
mŎIn
Ȃ킿
mSn
pb,cmub,cv͉tnpa,bmua,bv͉tnpc,amuc,av͉tn=1
mŎIn
łBŎ̌ʂBibjŕ\킵iaj̐^̉íAibjƁi`jƂAi`jƁiajƂ邱ƂƂāApb,cmub,cv͉tn łAiajŕ\킵i`j̐^̉imuiv͒{ł́uvńAiajƁibjƂAibjƁi`jƂ邱ƂƂāApa,bmua,bv͉tn łAi`jŕ\킵ibj̐^̉íAi`jƁiajƂAiajƁibjƂ邱ƂƂāApc,amuc,av͉tn łBāi`jAiajAibj̉iɂďqׂƂ́ACӂ̎OỉiɂĂ邱Ƃ͖炩łB̂ɂAْ肪NȂƂ~Asɂ̏i̋ύtʓIύtƂȂ邱Ƃ~΁ACӂ̓̏ỉíACӂ̑Ȍiŕ\킵ꂼ̉i̔ɓƂĂȂ΂ȂʁB΁A̕𗧂Ă邱ƂoȂ΂ȂʁB
mSn
mifig45210_100.pngjn
mŎIn
̂悤ɂāAv (m-1)(m-1) ̈ʋύt̕Bɂ́At̉i̕mifig45210_071.pngjnAIɊ܂܂ĂB̂悤ɂׂẲi\킷̏i͉lړxmulړxvɖT_niknume'raireljłB
@Z@̕ (m-1)(m-1) 𓱂΁Aɏqׂvƌ̑̌nAɓ̕˂΂Ȃʂ̂́AłB́ǍX̎sɈʓIsꍇɁAeX̏i̊Ԃ̌X݂̑̎vƋƂ̋ϓɁÂׂĂ̏i𔽑΋tƂei̎v܂͋̂悤ȕ邱ƂɂāA܂邱ƂłB
mSn
Da,bmua,bv͉tn+Da,cmua,cv͉tn+Da,dmua,dv͉tn+ cc =Db,amub,av͉tnpb,amub,av͉tn+Dc,amuc,av͉tnpc,amuc,av͉tn+Dd,amud,av͉tnpd,amud,av͉tn+ cc
Db,amub,av͉tn+Db,cmub,cv͉tn+Db,dmub,dv͉tn+ cc =Da,bmua,bv͉tnpa,bmua,bv͉tn+Dc,bmuc,bv͉tnpc,bmuc,bv͉tn+Dd,bmud,bv͉tnpd,bmud,bv͉tn+ cc
Dc,amuc,av͉tn+Dc,bmuc,bv͉tn+Dc,dmuc,dv͉tn+ cc =Da,cmua,cv͉tnpa,cmua,cv͉tn+Db,cmub,cv͉tnpb,cmub,cv͉tn+Dd,cmud,cv͉tnpd,cmud,cv͉tn+ cc
Dd,amud,av͉tn+Dd,bmud,bv͉tn+Dd,cmud,cv͉tn+ cc =Da,dmua,dv͉tnpa,dmua,dv͉tn+Db,dmub,dv͉tnpb,dmub,dv͉tn+Dc,dmuc,dv͉tnpc,dmuc,dv͉tn+ cc
cccccccccccccccccccccccccccc
mŎIn
Ȃ킿Č͂łB炍́̕Ak΁Am-1 ƂȂBȂ킿Aʋύtoi̒lɓAȒPɁAi`jŕ\킵iajAibjAicjcc̉i pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccŎ΁AÊ̕
mSn
mifig45210_101.pngjn
mŎIn
ƂȂBĂ̏̕IɈʂ m-1 ̗̒̑̕ӂ pbmubv͉tn 悶Ȃ̗ӂ pcmucv͉tn ȂO pdmudv͉tn cc悶A m-1 ̕ZAӂ瓯̍ȗ΁AẼVXe̒̍ŏ̎ƓB炱̍ŏ̎͐؂̂Ă꓾̂łA]ĉȆ̌̕n m-1 ̑̌̕nƂȂB̕ m-1 ̌Ƃđ݂AƁAm(m-1) ̎v (m-1)(m-1) ̈ʋύt̕ƂāAv 2m(m-1) ̕ƂȂB̍́Ȁi݂ŕ\킵i m(m-1) ƁA݂Ɍ邍̏ǐv m(m-1) łBv^ꂽƂAiwIɂɐĂ邩́AɂĖ炩ɂȂBؖcĂ̂́Â悤ȗ_I@^ꂽ́AۂɂĂ܂sɂĎR̋@\ɂēlɉƂƂłB̓_͂͂Ȃ͂dvłB̏ؖɐ旧A҂̏ȉL҂łꍇl@Ă݂悤B̏ꍇ܂Aő喞̒藝ŊȒPɗeՂɎ戵ʓIꍇłB

@@̊􉽊wI@͕^PAi̊􉽊wI_ɎĂB
my[Wn

@@@@\́@̏i̊Ԃ̖̌̐wI@̈ʓIBỉi̖̐@

mWn
vځ@ꎵ@̏ȉL҂̈ʂ̏ꍇBꔪ@ʂ̋ϓ̕Aɑ喞̕AIv܂͋̕BAZAA@LʂɓǍʁBO@Svyы̋ϓBl@sɂ鑽ǐB܁@ԉiAlړxɂ鉿i͈ʋύt܂ށBő喞̏ɓK镔Iv܂͋̌vZɂȂBZA񎵁@Sv܂͋̕sϓB񔪁@i납疳܂ŕωƂ̑Sv܂͋̕ωBAOZ@v𒴉߂ƂiグAv𒴉߂Ƃi˂΂ȂʁB
mŎIn

@ꎵ@񏤕i݊Ԃ̌̏ꍇƓAȂ鐔̏iԂ̌̏ꍇɂĂAIv́̕A~]̍ő喞̏ɂāAwIɌ肹BƂł̏͂Ȃ̂ł邩B́AɁACӂ̓񏤕i̋H̔䂪A񏤕ïŕ\킵̏ỉiɓƂƂłBꂪȂƂA̗҂Ηvi攪Z߁jBe҂̏î݂LAْړIŁAlX m ̏i̓ m(m-1) ̉i񂾂ƂA炪ʋύt̏ɓKsȁt̂łȂȂ΁ẢiɂẮAe҂ɍő̖͐ȂBe҂ɍő̖̂́Ae҂v鏤i̋H̎L鏤i̋Hɑ΂䂪Aْɂē^̉iɓƂłBA҂̏ȉL҂łAْ肪ȂƂ~AlړxƂč̑ꂽ悍Ԗڂ̏iŕ\킵 m-1 ̏ỉi m-1 ԂƂ΁ACӂ̓񏤕i̒̈ŕ\킵̉íAlړxŕ\킵񏤕îꂼ̉i̔ɓȂ΂ȂȂAe҂ɑ΂ő喞̂́AlړxȊȌi̊eX̋HƁẢlړx̋HƂ̔䂪A΂ꂽꂼ̉iɓƂł邱Ƃ͖炩łB
@ꔪ@ŁAҁiPj́Ai`j qa,1mua,1v͉tn ʁAiaj qb,1mub,1v͉tn ʁAibj qc,1muc,1v͉tn ʁAicj qd,1mud,1v͉tn ʁcc̏L҂łƂB܂̌҂ɑ΂AԂɂ鏤ii`jAiajAibjAicjcc̗pȐȂ킿~]Ȑ́Aꂼ r=a,1mua,1v͉tn(q), r=b,1mub,1v͉tn(q), r=c,1muc,1v͉tn(q), r=d,1mud,1v͉tn(q) ccłƂBi`jŕ\킵iajAibjAicjcc̉íAꂼ pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccłƂBĉi pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccłƂǍҁiPjŏLĂ qa,1mua,1v͉tn, qb,1mub,1v͉tn, qc,1muc,1v͉tn, qd,1mud,1v͉tn cɉ鏊́i`jAiajAibjAicjcĉꂼ̗ʂAx1mu1v͉tn, y1mu1v͉tn, z1mu1v͉tn, w1mu1v͉tn ccƂB̉ꂽʂ͐łꍇB̂Ƃɂ́A͎vʂB܂͕ł蓾邪Ȁꍇɂ́AʂBĂ̌҂鏤ivɂ́Aʂ̑̏i˂΂ȂȂAx1mu1v͉tn, y1mu1v͉tn, z1mu1v͉tn, w1mu1v͉tn cc̗ʂ̂ŁÂ{ł΁Á|ł邱ƁA܂̊ԂɈʓIɕ
mSn
x1mu1v͉tn+y1mu1v͉tnpbmubv͉tn+z1mu1v͉tnpcmucv͉tn+w1mu1v͉tnpdmudv͉tn+ c=0
mŎIn
邱Ƃ́A炩łB
@܂ő喞̏Ԃ肹Ă邩A̗ʂ̊Ԃɂ́Äg̕炩ɑ݂B
mSn
b,1mub,1v͉tn(qb,1mub,1v͉tn+y1mu1v͉tn)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
@@@@c,1muc,1v͉tn(qc,1muc,1v͉tn+z1mu1v͉tn)=pcmucv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
d,1mud,1v͉tn(qd,1mud,1v͉tn+w1mu1v͉tn)=pdmudv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
cccccccccccccc
mŎIn
Ȃ킿 m-1 ̕ÁAOƍāA̈̕gƂȂB̒̕ŁAm x1mu1v͉tn, y1mu1v͉tn, z1mu1v͉tn, w1mu1v͉tn cc m-1 ɏA悍Ԗڂ̖mi̔ƂĎcƂoBƂŁAҁiPjɂi`j̎v܂͋́A
mSn
x1mu1v͉tn=-(y1mu1v͉tnpbmubv͉tn+z1mu1v͉tnpcmucv͉tn+w1mu1v͉tnpdmudv͉tn cc)
mŎIn
ɂė^A܂AÊ悤ɂāǍ҂ɂĂȂiajAibjAicjcc̎v܂͋̎̔@B
mSn
y1mu1v͉tn=fb,1mub,1v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
z1mu1v͉tn=fc,1muc,1v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
w1mu1v͉tn=fd,1mud,1v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
cccccccccc
mŎIn
@lɌҁiQjAiRjccɂĂȂi`j̎v܂͋́A
mSn
x2mu2v͉tn=-(y2mu2v͉tnpbmubv͉tn+z2mu2v͉tnpcmucv͉tn+w2mu2v͉tnpdmudv͉tn cc)
x3mu3v͉tn=-(y3mu3v͉tnpbmubv͉tn+z3mu3v͉tnpcmucv͉tn+w3mu3v͉tnpdmudv͉tn cc)
ccccccccccccc
mŎIn
ɂė^A܂Ǎ҂ɂĂȂiajAibjAicjcc̎v܂͋̎̕B
mSn
y2mu2v͉tn=fb,2mub,2v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
z2mu2v͉tn=fc,2muc,2v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
w2mu2v͉tn=fd,2mud,2v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
cccccccccc
y3mu3v͉tn=fb,3mub,3v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
z3mu3v͉tn=fc,3muc,3v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
w3mu3v͉tn=fd,3mud,3v͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
cccccccccc
mŎIn
@̂悤ɂāAׂĂ̌҂̂グւ̌X́Aî̐lX̊eXɑ΂闘pƁA̐lXɂďL邱珤i̗ʂƂ瓱oB͂ƂɂǍis߂ɐ旧āAɂ͂Ȃ͂dvȉĂ˂΂ȂʂƂB
@@i pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccmuccv͒{ł͌nlƂƂAy1mu1v͉tn ł邱Ƃ蓾B́AҁiPjiiajvȂŁAꍇłB܂ y1mu1v͉tn  -qb,1mub,1v͉tn ɓƂ蓾B́Ǎ҂iiajcĂȂꍇłBy1mu1v͉tn ̂̒lAő喞 m-1 ̑̌̕nɓƁÁ̕A
mSn
b,1mub,1v͉tn(0)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
c,1muc,1v͉tn(qc,1muc,1v͉tn+z1mu1v͉tn)=pcmucv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
d,1mud,1v͉tn(qd,1mud,1v͉tn+w1mu1v͉tn)=pdmudv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
cccccccccccccc
mŎIn
ƂȂBĂ̕yѕ
mSn
x1mu1v͉tn+y1mu1v͉tnpbmubv͉tn+z1mu1v͉tnpcmucv͉tn+w1mu1v͉tnpdmudv͉tn+ cc =qb,1mub,1v͉tnpbmubv͉tn
mŎIn
Apbmubv͉tn, pcmucv͉tn, pdmudv͉tn c΁A
mSn
x1mu1v͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)+z1mu1v͉tnc,1muc,1v͉tn(qc,1muc,1v͉tn+z1mu1v͉tn)+w1mu1v͉tnd,1mud,1v͉tn(qd,1mud,1v͉tn+w1mu1v͉tn)+ cc =qb,1mub,1v͉tnb,1mub,1v͉tn(0)
mŎIn
B
@́̕Ǎtʖ󂵓ׂłB\\̏i̒̈ꏤi̋̏ȉLʂɓ߂ɂ́mȕi̒̈ꏤi̋̏ȉLʂɓ߂ɂ́vɖT_nAv鏔i̗~]Ȑ̕ޖʐς̕Łmuv鏔i̗~]Ȑ̕ޖʐς̕ŁvɖT_nAɏLʂɂď[ꂽ~]\킷ɂ镔̂ɁmuɏLʂɂď[ꂽ~]\킷ɂ镔̂ɁvɖT_nA`悫mu`悫vɖT_nA`̖ʐς̍vmu`̖ʐς̍vvɖT_nA鏤ȉLʂƂmu鏤ȉLʂƂvɖT_nȀi̍ő̗~]̋xӂƂčꂽ`̖ʐςɓȂ΂Ȃʁmȕi̍ő̗~]̋xӂƂčꂽ`̖ʐςɓȂ΂ȂʁvɖT_nB
@̏́A[邱Ƃ΁A[ȂƂBłƂ΁AҁiPjɂiaj̋́Aꍇɂ́AL qb,1mub,1v͉tn ɓƂ\łBA̋͌Ă̗ʂł͂蓾ȂB̂ɁAiaj̎v܂͋̕ɂāApbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccA y1mu1v͉tn  qb,1mub,1v͉tn Ȃ炵߂悤ȂȂlƂƂÁ̕A
mSn
y1mu1v͉tn=-qb,1mub,1v͉tn
mŎIn
ɂĒu˂΂ȂʂƂ𒍈ӂׂłB
@Z@݂̂ł͂ȂB܂Apbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc z1mu1v͉tn, w1mu1v͉tn cc qc,1muc,1v͉tn, qd,1mud,1v͉tn ccȂ炵߂lƂꍇ́AibjAicjcc̎v܂͋̕ɂAƂ꓾BɁA̕A
mSn
z1mu1v͉tn=-qc,1muc,1v͉tn,@w1mu1v͉tn=-qd,1mud,1v͉tn
mŎIn
ɂĒu˂΂Ȃʏꍇɂ܂Aiaj̎v܂͋́̕AĚʂƂďC˂΂ȂʁB
@āAႦ z1mu1v͉tn=-qc,1muc,1v͉tn łꍇɂ́AҁiPjɂiaj̎v܂͋̑̌̕n͎̔@łB
mSn
x1mu1v͉tn+y1mu1v͉tnpbmubv͉tn+w1mu1v͉tnpdmudv͉tn+ cc =qc,1muc,1v͉tnpcmucv͉tn
b,1mub,1v͉tn(qb,1mub,1v͉tn+y1mu1v͉tn)=pbmubv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
d,1mud,1v͉tn(qd,1mud,1v͉tn+w1mu1v͉tn)=pdmudv͉tna,1mua,1v͉tn(qa,1mua,1v͉tn+x1mu1v͉tn)
cccccccccccccc
mŎIn
Ȃ킿SŁAm-1 ̕B̒̕ŁAx1mu1v͉tn, w1mu1v͉tn cc m-2 ̖mɏAy1mu1v͉tn  pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc̔ƂĎcȂ悤ɂ邱ƂoBw1mu1v͉tn=-qd,1mud,1v͉tn ̏ꍇAlłBŌɂ܂AiibjAicjcc̒̈ꏤî݂łȂAAOAlccAʂɔCӂ̑̏i̋Lʂɓꍇɂlł邱Ƃ́Ȁ̉ցs܁tȂŗ悤B
@@́Alړxł鏤ii`j̎vyы̕ɂẮAȂB͓Ȍ`ƂB܂炩ȂƂ́A̕܂Apbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc̒l x1mu1v͉tn  qa,1mua,1v͉tn Ȃ炵߂̂łƂ́A x1mu1v͉tn=-qa,1mua,1v͉tn ɂĒu˂΂Ȃ炸A̏ꍇɂ́AҁiPjɂiaj̎v܂͋̑̌n͎̂悤Ȃ̂ƂȂ邱ƂłB
mSn
y1mu1v͉tnpbmubv͉tn+z1mu1v͉tnpcmucv͉tn+w1mu1v͉tnpdmudv͉tn cc =qa,1mua,1v͉tn
pbmubv͉tnc,1muc,1v͉tn(qc,1muc,1v͉tn+z1mu1v͉tn)=pcmucv͉tnb,1mub,1v͉tn(qb,1mub,1v͉tn+y1mu1v͉tn)
pbmubv͉tnd,1mud,1v͉tn(qd,1mud,1v͉tn+w1mu1v͉tn)=pdmudv͉tnb,1mub,1v͉tn(qb,1mub,1v͉tn+y1mu1v͉tn)
ccccccccccccccc
mŎIn
Ȃ킿 m-1 ̕邱Ƃɕς͂ȂB̒ŁAz1mu1v͉tn, w1mu1v͉tn cc m-2 ̖mɏApbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc̔ƂĂ y1mu1v͉tn ^cȂ悤ɂ邱ƂoB
@@v܂͋̐𖞑悤ɁA̕gݗĂ邱Ƃł邱Ƃ͂łBǂi`jŕ\킵iajAibjAicjcĉ鉿i p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc΂ꂽƂAׂĂ̏i̎vʂƋʂƂ́AʂƏLʂƂƂ̎̉ɁASɈ肵Ă邱Ƃ炩łB̂Ƃ͂͂Ȃ͂dvłB͂̓_𖾂炩ɂ悤ƎvB
@q=a,1mua,1v͉tn(r), q=b,1mub,1v͉tn(r), q=c,1muc,1v͉tn(r), q=d,1mud,1v͉tn(r) ccҁiPjɑ΂i`jAiajAibjAicjcc̗płāAʂɊւĉAHɊւĉĂȂ̂łƂB΁Ǎɂ́A̎B
mSn
qa,1mua,1v͉tn+x'1mu1v͉tn=a,1mua,1v͉tn(r'a,1mua,1v͉tn)
qb,1mub,1v͉tn+y'1mu1v͉tn=b,1mub,1v͉tn(r'b,1mub,1v͉tn)
qc,1muc,1v͉tn+z'1mu1v͉tn=c,1muc,1v͉tn(r'c,1muc,1v͉tn)
qd,1mud,1v͉tn+w'1mu1v͉tn=d,1mud,1v͉tn(r'd,1mud,1v͉tn)
ccccccccc
mŎIn
̑ʂ̓l̏yэő喞̏iꔪ߁ǰʂƂāA
mSn
qa,1mua,1v͉tn+p'bmubv͉tnqb,1mub,1v͉tn+p'cmucv͉tnqc,1muc,1v͉tn+p'dmudv͉tnqd,1mud,1v͉tn+ cc 
=a,1mua,1v͉tn(r'a,1mua,1v͉tn)+p'bmubv͉tnb,1mub,1v͉tn(p'bmubv͉tnb,1mub,1v͉tn(p'bmubv͉tnr'a,1mua,1v͉tn)+p'cmucv͉tnc,1muc,1v͉tn(p'cmucv͉tnr'a,1mua,1v͉tn)+p'dmudv͉tnd,1mud,1v͉tn(p'dmudv͉tnr'a,1mua,1v͉tn)+ cc
mŎIn
B̍Ō̕ r'a,1mua,1v͉tn ^Br'a,1mua,1v͉tnpāAr'b,1mub,1v͉tn, r'c,1muc,1v͉tn, r'd,1mud,1v͉tn ccA] x'1mu1v͉tn, y'1mu1v͉tn, z'1mu1v͉tn, w'1mu1v͉tn ccBۗ܂͊l鏤íA[ׂŏ̗~]̋xAi r'a,1mua,1v͉tn Ƃ̐ςȂ̂łB
@ r'a,1mua,1v͉tn i`j̍ŏ̗~]̋xł΁AҁiPj͉lړxł鏤iv˂΁AۗȂB
@O@ҁiPjAiQjAiRjccɂi`jAiajAibjAicjcc̎v܂͉͋̕ɂĉE̐𖞑邽߂ɓKɑgݗĂĂ邩Ax1mu1v͉tn+x2mu2v͉tn+x3mu3v͉tn+ cc̍vAy1mu1v͉tn+y2mu2v͉tn+y3mu3v͉tn+ cc̍vAz1mu1v͉tn+z2mu2v͉tn+z3mu3v͉tn cc̍vAw1mu1v͉tn+w2mu2v͉tn+w3mu3v͉tn+ cc̍vAꂼ X, Y, Z, W ccŕ\킵A fb,1mub,1v͉tn, fb,2mub,2v͉tn, fb,3mub,3v͉tn cc̍vA fc,1muc,1v͉tn, fc,2muc,2v͉tn, fc,3muc,3v͉tn cc̍vA fd,1mud,1v͉tn, fd,2mud,2v͉tn, fd,3mud,3v͉tn cc̍vAꂼ Fbmubv͉tn, Fcmucv͉tn, Fdmudv͉tn, ccŕ\킻Bii`jAiajAibjAicjcc̎vƋƂ̋ϓ́AƂĂʂ̏ꍇɂ́A X=0, Y=0, Z=0, W=0 ccɂĕ\킳Ă邩Aύtǐɑ΂āA̕
mSn
Fbmubv͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)=0
Fcmucv͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)=0
Fdmudv͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)=0
cccccccccc
mŎIn
Ȃ킿 m-1 ̕BƂŁApbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc͖{㐳ł邩A̕ƁAȂ킿 Y=0, Z=0, W=0 łƁA炩
mSn
X=-(Ypbmubv͉tn+Zpcmucv͉tn+Wpdmudv͉tn+ cc)=0
mŎIn
łB
@l@̂悤ɂāAi̒̑悍Ԗڂ̉lړxƂč̗pꂽiŕ\킵 m-1 ̏i m-1 ̉íA̎O̏ɂĐwIɌ肹Bije҂́Aނׂ̂Ă̋H̔䂪iɓāA~]̍ő喞𓾂邱ƁAijlړxŕ\킵eỉiŁALSvLSɓ炵߂̂́AȂ̂ł邩Ae҂͗^̂ɔႵĎ󂯂Ƃ˂΂ȂʂA󂯂Ƃ̂ɔႵė^˂΂ȂʂƁAiOj񏤕ǐ݂ɑŕ\킵ύtíAȌiŕ\킵ꂼ̋ύti̔ɓAْ肪N]nȂƁBṓAɉȊwI@ȍiԂ̖̌̂肪A܂sɂĂ͋̋@\ɂČoIɉĂ邪Aꂪ悤ɂĂł邩悤ƎvB
@܁@܂Alړx̗p΁AsɂāA̏ȋ݊Ԃ̉i m(m-1) ́AāAԖڂ̏iŕ\킵 m-1 ̏ỉi m-1 ƂȂB̂Ԗڂ̏i͉lړxłBđ̏i݂̊Ԃ̉i (m-1)(m-1) ́AꂼAʋύt̏ɂĉlړxŕ\킵珤ỉi̔ɓƍlׂłBp'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cci`jŕ\킵iajAibjAicjcc̉i m-1 łāARɋ΂ꂽ̂łƂƁA΂ꂽ̉iɂĊe҂́Ai`jAiajAibjAicjcc̋܂͎v肷B̂Ƃ́Ae҂ʂɌvZ邱ƂȂAȂȂƂɂčŝł邪AłȂAvʂƋʂƂƂyэő喞̑̌̕nɂA܂ɂ悤Ȑɂĕ[ꂽ̌nɂvẐƁAS悤ɍsB܁A܂͕ x'1mu1v͉tn, x'2mu2v͉tn, x'3mu3v͉tn, c y'1mu1v͉tn, y'2mu2v͉tn, y'3mu3v͉tn, c z'1mu1v͉tn, z'2mu2v͉tn, z'3mu3v͉tn c , w'1mu1v͉tn, w'2mu2v͉tn, w'3mu3v͉tn ciAp'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccłƂ̕Iv܂͋łƂBeȋvƑƂ΁AȂ킿ɖł悤 Y'=0, Z'=0, W'=0 ƂȂA] X'=0 ƂȂ΁A͂̉iɂčsA͉ł낤BʂɊeȋvƑƂ͑ȂAmifig45210_102.pngjnłA]āmifig45210_103.pngjnł낤B悤ȏꍇɂ́AlX͎sɂĂɍs邩Bvł΁Alړxŕ\킵̏ỉi𓫋M߂ł낤Avł΁Ai߂ł낤BΗ_I@Ǝs̉@ł邱Ƃؖɂ͂Ȃؖv邩B̓͊ȒPłBȂ킿sɂ鉿i̓AvƋ̋ϓ̑̌nA̍ɂĉ@ł邱Ƃؖ΂悢B
@Z@ŎvN˂΂Ȃʂ̂́A
mSn
X'+Y'p'bmubv͉tn+Z'p'cmucv͉tn+W'p'dmudv͉tn+ cc =0
mŎIn
݂̑łBƂŉi p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccɑΉ鐳 x, y, z, w cĉꂼ̍v D'amuav͉tn, D'bmubv͉tn, D'cmucv͉tn, D'dmudv͉tn ccƌĂсÂꂼ̍v̕ς̂ O'amuav͉tn, O'bmubv͉tn, O'cmucv͉tn, O'dmudv͉tn ccƌĂׂ΁AĚ͎̕`Ƃ邱ƂoB
mSn
D'amuav͉tn-O'amuav͉tn+(D'bmubv͉tn-O'bmubv͉tn)p'bmubv͉tn+(D'cmucv͉tn-O'cmucv͉tn)p'cmucv͉tn+(D'dmudv͉tn-O'dmudv͉tn)p'dmudv͉tn+ cc =0
mŎIn
 p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc͖{㐳ł邩A X'=D'amuav͉tn-O'amuav͉tn, Y'=D'bmubv͉tn-O'bmubv͉tn, Z'=D'cmucv͉tn-O'cmucv͉tn, W'=D'dmudv͉tn-O'dmudv͉tn cĉ̂ł΁Â͕łA̋t^łB΁Ai p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccłƂA鏤ȋvł΁Ȁȋ͑vłA̋t܂^łB
@񎵁@As
mSn
mifig45210_104.pngjn
mŎIn
ƂǍ`ƂB
mSn
mifig45210_105.pngjn
mŎIn
Ŕ bmubv͉tn ͐ y ̍vȂ킿 Dbmubv͉tn \킵A bmubv͉tn ͕ y ̍v̕ς̂Ȃ킿 Obmubv͉tn \킷̂ƂBpcmucv͉tn, pdmudv͉tn cc̏ۂāAƂApbmubv͉tn ݂̂肷ׂiłƂāAiaj̎vƋƂȂɂ́Apbmubv͉tn [ƖƂ̊Ԃɂɕω߂邱Ƃv邩߂Ă݂悤B͔ Fbmubv͉tn A bmubv͉tn  bmubv͉tn mȂBA̔ɊւāA̖Ƃ鑀ɂāAɂ pbmubv͉tn  Fbmubv͉tn ă[ʂ炵߁A܂͔ bmubv͉tn  bmubv͉tn Ƃ𓙂炵߂l\\Ƃ΁\\ƂɎ邩ɏ[ȎwÁAɌ̎̐oƂoB
@񔪁@܂ bmubv͉tn ɂČɁAi`jAibjAicjccĂiaj̎v̔́Apbmubv͉tn=0 łƂȂ킿i`jAibjAicjccŕ\킵iaj̉i[łƂłBۂɁẢi[łƂɂ́Aiaj̗Lv́AOpLʂɒ߂ʂɓB̒߂ʂ́AiajiHłĎЉIẍꕔ𐬂Ă̂Ȃ΁AɐłBpbmubv͉tn 債AƋɁi`jAibjAicjccŕ\킵iaĵׂẲiɔႵđ傷΁A bmubv͉tn ͌B͌̍vł邩łB̏ꍇɂ́AiajíAii`jAibjAicjccƔrIɂ͂܂܂킯łBۂɂ̉ɂāÂׂĂ̎𓯈łƂ΁A̎vł낤Ƃ́AB̎v͌𓾂Ȃ̂łBĂ̎v[ƂȂɂ́Apbmubv͉tn ͂Ȃł邪AꍇɂĂ͖łƑzB΁Ai`jAibjAicjccŕ\킵iaj̉iȂ荂ƂɂAbmubv͉tn ̓[Ƃ͂Ȃʂł낤ƑzB
@ɔ bmubv͉tn Ȃ킿i`jAibjAicjccƌiaj̋̔́Apbmubv͉tn=0 łƂ͂Apbmubv͉tn ̂lƂƂłA΁i`jAibjAicjccŕ\킵iaj̉i[łƂ͂Â傫ƂƂłA[łBہAiaji̎v[ł邽߂ɂ́Ai`jAibjAicjccŕ\킵iaj̉iȂ荂ƏɑzƓAi`jAibjAicjccɑ΂v[ƂȂ]āiaj̋[ƂȂɂ́Aiajŕ\킵i`jAibjAicjcc̉iȂ荂Ƒz邱ƂoBpbmubv͉tn 債AƔႵāi`jAibjAicjccŕ\킵iaĵׂẲiȂƂɂ́A bmubv͉tn ́A߂ɑ債AɌB̔͏ߑ債AɌ锟̍vł邩łB̏ꍇɂ́Aii`jAibjAicjcc͏iiajƔrIɂ͎ɈȂ킯łAĂ̏i̎v́A̎vɔiaj̋ƓɏɌĂ̂łB͖̋ɂ͑ȂBƂ͏LSʂȂ邱Ƃ̏oȂ̍őʉ߂AɌApbmubv͉tn ƂȂ΂Ȃ킿i`jAibjAicjccƂȂ΁AɃ[ɋAB
@@̏̂ɁA Obmubv͉tn [ł邱Ƃ߁st߂ȑO Dbmubv͉tn [ƂȂāA@s\ƂȂ̂łȂ΁A\\̏ꍇ͌҂̊Ԃɑ̏iL҂ꍇɂ͌꓾Ȃ̂ł邪\\ Obmubv͉tn  Dbmubv͉tn Ƃ𑊓炵߂ pbmubv͉tn ̂l݂B̒loɂ́Ai p'bmubv͉tn łƂAY'>0 Ȃ΁AȂ킿 D'bmubv͉tn>O'bmubv͉tn Ȃ΁Ap'bmubv͉tn 𑝑傹˂΂ȂʂA܂i p'bmubv͉tn łƂ Y'<0 Ȃ΂Ȃ킿 O'bmubv͉tn>D'bmubv͉tn Ȃ΁Ap'bmubv͉tn ˂΂ȂʁB悤ɂĎ̕B
mSn
Fbmubv͉tn(p''bmubv͉tnmubv͒{ł͌n, p'cmucv͉tn, p'dmudv͉tn cc)=0
mŎIn
@̑삪sƕs
mSn
mifig45210_106.pngjn
mŎIn
́A
mSn
mifig45210_107.pngjn
mŎIn
ƂȂBi p'cmucv͉tn łƂAZ'>0 ł΁AȂ킿 D'cmucv͉tnmucv͒{ł́ubvn>O'cmucv͉tn ł΁Ap'cmucv͉tn 𑝑債A܂i p'cmucv͉tn łƂAZ'<0 ł΁AȂ킿 O'cmucv͉tn>D'cmucv͉tn ł΁Ap'cmucv͉tn āA
mSn
Fcmucv͉tn(p''bmubv͉tn, p''cmucv͉tn, p'dmudv͉tn cc)=0
mŎIn
𓾂邱ƂoB
@lɂāA
mSn
Fdmudv͉tn(p''mu''v͒{ł͌nbmubv͉tn, p''cmucv͉tn, p''dmudv͉tn cc)=0
mŎIn
AȉlłB
@OZ@ׂ̂Ă̑s΁A
mSn
mifig45210_108.pngjn
mŎIn
Bł̕sA̕s
mSn
mifig45210_109.pngjn
mŎIn
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@Ol@ɂāAi`jAiajAicj𖳌ʂ꓾鏤iłƂA]āAr,1mur,1v͉tnq,1muq,1v͉tn, r,2mur,2v͉tnq,2muq,2v͉tn, r,3mur,3v͉tnq,3muq,3v͉tn, r,1mur,1v͉tnq,1muq,1v͉tn, r,2mur,2v͉tnq,2muq,2v͉tn, r,3mur,3v͉tnq,3muq,3v͉tn, r,1mur,1v͉tnq,1muq,1v͉tn, r,2mur,2v͉tnq,2muq,2v͉tn, r,3mur,3v͉tnq,3muq,3v͉tniܐ}jҁiPjAiQjAiRjɑ΂邱̏i̘AȗpȐ܂͗~]ȐłƂBɂāAibj͐PʂȂiłƂA]āAr,1mur,1v͉tnq,1muq,1v͉tn, r,2mur,2v͉tnq,2muq,2v͉tn, r,3mur,3v͉tnq,3muq,3v͉tn ͌ҁiPjAiQjAiRjɑ΂邱̏i̕sAȗpȐ܂͗~]ȐłƂB2, 2.5, 0.5 i`jiŕ\킵iajAibjAicj̉iłƂB
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@܋ύtAii`jŕ\킵iiajAibjAicj̉i pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccłāAe҂́i`jAiajAibjAicjcĉꂼ̗ʂLA炪e҂ɍő喞^ƑzBp̑Ƃ\Aɗ~]Ȑ̈ړ̈Ӗɂ̂ݗp邱ƂƂB̈ړ́ǍʂƂāAɂ[ꂽŌ̗~]̋xȂ킿H𑝌BꂾOƂāAiaj̗pȂ킿iaj̗~]Ȑ̈ړǍʂ҂ɑ΂iaj̋H̑ƂB΂̐lXɂƂĂ͂͂ő喞ł͂蓾ȂB̐lX́Ai pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccŁiajvAi`jAibjAicjcĉLłBƂŁAi pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccłׂĂ̏ii`jAiajAibjAicjcc̎vƋƂϓĂƂ΁A₱̉lł́Aiaj̎v͂̋𒴂Ai`jAibjAicjcc͎̋v𒴂B pbmubv͉tn ͓MB̂ƂǍ҂ɂƂĂAő喞ł͂Ȃł낤BāAi`jŕ\킵iaj̉i pbmubv͉tn ł΁A̐lX́iajAi`jAibjAicjccv̂LłBׂĂ̏ii`jAiajAibjAicjcc̎vƋƂȂƂAύt͐BAEɉ肵lXɑ΂iaj̗p̑́ǍʂƂāAiaj̉i𓫋M߂B͂܂ǍʂƂāAibjAicjcc̉iωߓB܂AiajȊȌisɑ݂A]āiajƌ邻̊eX̗ʂɂ߂ďłƂƁAibjAicjcc̉i̕ώAiaj̉i̕ω蒘ȂBAibjAicjcc̉î̕ωMƂȂČ邩܂͉ƂȂČ邩́ÂĂȂBہAM܂͉Nł낤ƂÂĂȂB̂Ƃ́A[IsĐVύtƂ̋H̒nʂΗ邱ƂoB[IȌɂāAiaj̋H́i`j̋Hɑ΂́AׂĂ̌҂ɂĕKRIɑBȂ킿e҂ɂ邱̔̑́AiajpωAiajĂєāAi`jAibjAicjcc𔃂߂lɂẮAiaj̋H̑Ɓi`j̋ȞɂĐB܂̔̑́Aiaj̗pA]āiaj𔃖߂Ai`jAibjAicjccĂєlɂẮAi`j̋H̑Ɓiaj̋Ĥ苭ɂĐB܂e҂ɂibjAicjcc̋H́i`j̋Hɑ΂ɂČɁA̔̂̂̂͑Â͌A܂͕ωȂB]āAibjAicjcc̉îÂ͓MÂ͉A܂͕̂ωȂBvɁAiaj̋Hׂ͂Ă̌҂ɂđA̕ϋH͑邯ǂAi`jAibjAicjcc̋H́A҂ɂĂ͑A҂ɂĂ͌āA̕ϋH͕ωȂƂ𒍈ӂׂłBX́A~Ȃ΁Ae^̌҂ɂAEɏqׂOtŕ\킷ƂoBႦΑܐ}ɂāAiaj̗p͌ҁiPjɂđǍ҂́iaj𔃖߂Ai`jAicj𔄂BҁiQj͉ȂBҁiRj́iajĂєāAi`jAicj𔃖߂B炪iaj̗p̑̌ʂłB̗p̌͂Ɣ΂̌ʁAȂ킿iaj̉ỉƁibjAicjcc̉i̋͏ȕω𐶂߂邱Ƃ͖炩łB
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@Œӂ˂΂ȂʂAi̕ω͕KRIɂ̉ǐɕωƂɂĂAiɕω͕̂K̉i̗vɕωȂƂ̂ł͂ȂBÁȂ̏ؖȂłAɎ̓񖽑𗧌邱Ƃo邩łB
@̏i^mȕi^vɖT_nȀi̒̈ꏤi̗ʂ҂܂͏L҂̈l܂͑ɂĕωĂmȕi̒̈ꏤi̗ʂ҂܂͏L҂̈l܂͑ɂĕωĂvɖT_nAHωȂƂ΁Ȁỉi͕ωȂmuHωȂƂ΁Ȁỉi͕ωȂvɖT_nB
@ׂĂ̏i̗pƗʂƂ҂܂͏L҂̈l܂͑ɂĕωĂmuׂĂ̏i̗pƗʂƂ҂܂͏L҂̈l܂͑ɂĕωĂvɖT_nAH̔ɕωƂ΁muH̔ɕωƂ΁vɖT_nȀỉi͕ωȂmȕỉi͕ωȂvɖT_nB
@O@ꂪύti̕ϓ̖@łBύti̖@iOZ߁jƌ΁Aoϊwv̖@muv̖@v͑nmuv̖@v͒{ł́up̖@vnƏ̂@̉ȊwI`B̖@͍ł{IȖ@łȂA܂ŁAӖȂ܂͌\^ĂȂBĺủi͎v̔ɂČ肹vƂāAɉi݂̐̂ĂB܂ĺủi͎vɐႵĕωAɔႵĕωvƂāAނ뉿i̕ϓĂBA͈̂̂ɉ߂Ȃ̂̓̕\ɁA炩̈Ӗ^悤Ƃ΁A܂vƋƂ̒`^˂΂ȂȂBƂŋ`ėL̈ӖƂĂA܂Lʂ܂͑ݗʂƂĂA܂v`ėLv̈ӖƂĂA܂͊OpƂĂxpƂĂA邢͂܂OƋx̑o܂ޗpƂĂA邢͉\IpƂĂAƂiquotientjƂwIӖɉ΁Aiv̋ɑ΂łȂ΁A܂̎vɑ΂łȂƂ͖炩łA܂ivɐႵɔႵĕω˂΁AɐႵvɔႵĕωȂƂ͖炩łB̂Ɍoϊw̍{@́A܂ŁAPɏؖȂ݂̂łȂA܂FꂸAȂƁAĂߌł͂ȂBȂĂAɖƂȂ@܂͂\̖@ؖɂ́ALvƗLƂ`ALvƗLƂiɑ΂Ă֌WAH̒`AHƉiƂ̊֌W邱ƂKvłBĂ̂Ƃ́AwIpƕ@ƌɗ邱ƂȂẮÂׂł͂ȂBŌǁAwI`͏oϊwɑ΂ĒPɉ\Ȍ`Ɏ~܂̂ł͂ȂAKvɂČׂ炴`łBȂÂƂɂẮA܂ŎɒǐĂǎ҂͏̋^܂Ȃł낤ƁA͎vB

mPA܂ԂĂRn
@ΓIŋqϓIȌlƐΓIŎϓIȋHƂ̋ʂ́AlƎgplƂ̋ʂ̂܂ܐmɕ\킵ĂB
mŎIn
my[Wn

@@@@\ĺ@lz̒藝Bl̎iƌ̒Ƃɂ

mWn
vځ@O@ҊԂ̏i̕z̕ωBLʂ̓l̏Bݗʂ̓̏BlZ@ɑ喞̏ɍv镔Iv܂͋Bl@e҂̎vʂƋʂ͏ɓlłBl@SĂ̏ȋvƑ͏ɓBlO@̏ꍇLʂ̓lƑʂ̓ʂƂ̏ɂsꉿi͕ωȂBll@̏̕KvBl܁@lړxAPʁAPʂ̕ωBlZ@i̍Iȕ\Aʑ̕\Aʑ̕\̓ďTBiPjPʂ̉l͌Œ肩sς̉lł͂ȂBiQjPʂ̉lȂ݂̂͑ȂBl@Pʂ͈ʂ̎ړx̉lł͂ȂA̗ʂ̂̂łBl@ݕBlA܁Z@ݕ}Ƃx̌B
mŎIn

@O@ii`jAiajAibjAicjcciPjAiQjAiRjcč҂ɂĂꂼ qa,1mua,1v͉tn, qb,1mub,1v͉tn, qc,1muc,1v͉tn, qd,1mud,1v͉tn cc qa,2mua,2v͉tn, qb,2mub,2v͉tn, qc,2muc,2v͉tn, qd,2mud,2v͉tn cc qa,3mua,3v͉tn, qb,3mub,3v͉tn, qc,3muc,3v͉tn, qd,3mud,3v͉tn ccLĂƂ΁Ȁîꂼ̍v͎̔@łB
mSn
Qamuav͉tn=qa,1mua,1v͉tn+qa,2mua,2v͉tn+qa,3mua,3v͉tn+ cc
Qbmubv͉tn=qb,1mub,1v͉tn+qb,2mub,2v͉tn+qb,3mub,3v͉tn+ cc
Qcmucv͉tn=qc,1muc,1v͉tn+qc,2muc,2v͉tn+qc,3muc,3v͉tn+ cc
Qdmudv͉tn=qd,1mud,1v͉tn+qd,2mud,2v͉tn+qd,3mud,3v͉tn+ cc
cccccccccccc
mŎIn
ďLʂ̂̏ƁAp܂͗~]ɂČ肹ꂽ\Ip̏Ƃ̉ɁȀíAʋύti pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccŌ݂ɌB
@̓ii`jAiajAibjAicjccAҁiPjAiQjAiRjcc̊ԂɁAȑOƂ͈قLlɔzƑzBɁǍ҂̊eXLV q'a,1mua,1v͉tn, q'b,1mub,1v͉tn, q'c,1muc,1v͉tn, q'd,1mud,1v͉tn cc q'a,2mua,2v͉tn, q'b,2mub,2v͉tn, q'c,2muc,2v͉tn, q'd,2mud,2v͉tn cc q'a,3mua,3v͉tn, q'b,3mub,3v͉tn, q'c,3muc,3v͉tn, q'd,3mud,3v͉tn cc̉l̍v́ȀLʂ̉l͍vɓƂBȂ킿̔@łƂB
mSn
qa,1mua,1v͉tn+qb,1mub,1v͉tnpbmubv͉tn+qc,1muc,1v͉tnpcmucv͉tn+qd,1mud,1v͉tnpdmudv͉tn+ cc
@@=q'a,1mua,1v͉tn+q'b,1mub,1v͉tnpbmubv͉tn+q'c,1muc,1v͉tnpcmucv͉tn+q'd,1mud,1v͉tnpdmudv͉tn+ cc
mŎIn
mQn
[1] qa,2mua,2v͉tn+qb,2mub,2v͉tnpbmubv͉tn+qc,2muc,2v͉tnpcmucv͉tn+qd,2mud,2v͉tnmud,2v͒{ł́uc,2vnpdmudv͉tn+ cc
@@@@=q'a,2mua,2v͉tn+q'b,2mub,2v͉tnpbmubv͉tn+q'c,2muc,2v͉tnpcmucv͉tn+q'd,2mud,2v͉tnpdmudv͉tn+ cc
@@qa,3mua,3v͉tn+qb,3mub,3v͉tnpbmubv͉tn+qc,3muc,3v͉tnpcmucv͉tn+qd,3mud,3v͉tnpdmudv͉tn+ cc
@@@@=q'a,3mua,3v͉tn+q'b,3mub,3v͉tnpbmubv͉tn+q'c,3muc,3v͉tnpcmucv͉tn+q'd,3mud,3v͉tnpdmudv͉tn+ cc
@@cccccccccccccccc
mŎIn
@Aȋݍvʂ͕ωȂƉ肷BȂ킿i`jAiajAibjAicjcc̍vʂ͎̔@łƉ肷B
mSn
Qamuav͉tn=q'a,1mua,1v͉tn+q'a,2mua,2v͉tn+q'a,3mua,3v͉tn+ cc
Qbmubv͉tn=q'b,1mub,1v͉tn+q'b,2mub,2v͉tn+q'b,3mub,3v͉tn+ cc
mŎIn
mQn
[2] Qcmucv͉tn=q'c,1muc,1v͉tn+q'c,2muc,2v͉tn+q'c,3muc,3v͉tn+ cc
@@Qdmudv͉tn=q'd,1mud,1v͉tn+q'd,2mud,2v͉tn+q'd,3mud,3v͉tn+ cc
@@cccccccccccc
mŎIn
@Lʂ̂̐VƉ\Ip̌̏Ƃ̒ɂẮAύtíA_IɂۂɂĂAˑRƂāApbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccł낤ƁA͎咣B
@lZ@ׂĂ̌҂̒ÄliPj߂A̐ĺẢiŁAi`jAiajAibjAicjccꂼ x'1mu1v͉tn, y'1mu1v͉tn, z'1mu1v͉tn, w'1mu1v͉tn ccʂlAvĎ̗ʂLɎƉ肷B
mSn
q'a,1mua,1v͉tn+x'1mu1v͉tn=qa,1mua,1v͉tn+x1mu1v͉tn
q'b,1mub,1v͉tn+y'1mu1v͉tn=qb,1mub,1v͉tn+y1mu1v͉tn
mŎIn
mQn
[3] q'c,1muc,1v͉tn+z'1mu1v͉tn=qc,1muc,1v͉tn+z1mu1v͉tn
@@q'd,1mud,1v͉tn+w'1mu1v͉tn=qd,1mud,1v͉tn+w1mu1v͉tn
@@cccccccccc
mŎIn
ɂāǍ҂͗~]̍ő喞𓾂̂łBȂȂAނ͎̑̌̕nɂė~]̖𓾂邩łB
mSn
b,1mub,1v͉tn(q'b,1mub,1v͉tn+y'1mu1v͉tn)=pbmubv͉tna,1mua,1v͉tn(q'a,1mua,1v͉tn+x'1mu1v͉tn)
c,1muc,1v͉tn(q'c,1muc,1v͉tn+z'1mu1v͉tn)=pcmucv͉tna,1mua,1v͉tn(q'a,1mua,1v͉tn+x'1mu1v͉tn)
d,1mud,1v͉tn(q'd,1mud,1v͉tn+w'1mu1v͉tn)=pdmudv͉tna,1mua,1v͉tn(q'a,1mua,1v͉tn+x'1mu1v͉tn)
cccccccccccccccc
mŎIn
@ҁiQjAiRjcc܂AẺiŁAii`jAiajAibjAicjcĉꂼ x'2mu2v͉tn, y'2mu2v͉tn, z'2mu2v͉tn, w'2mu2v͉tn cc x'3mu3v͉tn, y'3mu3v͉tn, z'3mu3v͉tn, w'3mu3v͉tn cclA̍vʂ𓾂΁Aނ̗~]̍ő喞𓾂邱ƂoB
mSn
q'a,2mua,2v͉tn+x'2mu2v͉tn=qa,2mua,2v͉tn+x2mu2v͉tn
q'b,2mub,2v͉tn+y'2mu2v͉tn=qb,2mub,2v͉tn+y2mu2v͉tn
q'c,2muc,2v͉tn+z'2mu2v͉tn=qc,2muc,2v͉tn+z2mu2v͉tn
q'd,2mud,2v͉tn+w'2mu2v͉tn=qd,2mud,2v͉tn+w2mu2v͉tn
mŎIn
mQn
[3] cccccccccc
mŎIn
mSn
q'a,3mua,3v͉tn+x'3mu3v͉tn=qa,3mua,3v͉tn+x3mu3v͉tn
q'b,3mub,3v͉tn+y'3mu3v͉tn=qb,3mub,3v͉tn+y3mu3v͉tn
q'c,3muc,3v͉tn+z'3mu3v͉tn=qc,3muc,3v͉tn+z3mu3v͉tn
q'd,3mud,3v͉tn+w'3mu3v͉tn=qd,3mud,3v͉tn+w3mu3v͉tn
cccccccccc
mŎIn
@łȂؖcĂ̂́AijEɒ߂ꂽɂāǍ҂͂̔@ʂv܂͋邱ƁAij̓ɂāAei̗Lv̗͂LɓƂłB
@l@Ƃł܂Ȃ̌nmPnɂāA
mSn
qa,1mua,1v͉tn-q'a,1mua,1v͉tn+(qb,1mub,1v͉tn-q'b,1mub,1v͉tn)pbmubv͉tn+(qc,1muc,1v͉tn-q'c,1muc,1v͉tn)pcmucv͉tn+(qd,1mud,1v͉tn-q'd,1mud,1v͉tn)pdmudv͉tn+ cc =0
mŎIn
B́̕ǍnmRnɂāǍ`ɒuB
mSn
x'1mu1v͉tn-x1mu1v͉tn+(y'1mu1v͉tn-y1mu1v͉tn)pbmubv͉tn+(z'1mu1v͉tn-z1mu1v͉tn)pcmucv͉tn+(w'1mu1v͉tn-w1mu1v͉tn)pdmudv͉tn+ cc =0
mŎIn
Ċ
mSn
x1mu1v͉tn+y1mu1v͉tnpbmubv͉tn+z1mu1v͉tnpcmucv͉tn+w1mu1v͉tnpdmudv͉tn+ cc =0
mŎIn
ł邩A܂
mSn
x'1mu1v͉tn+y'1mu1v͉tnpbmubv͉tn+z'1mu1v͉tnpcmucv͉tn+w'1mu1v͉tnpdmudv͉tn+ cc =0
mŎIn
łBRɂ
mSn
x'2mu2v͉tn+y'2mu2v͉tnpbmubv͉tn+z'2mu2v͉tnpcmucv͉tn+w'2mu2v͉tnpdmudv͉tn+ cc =0
x'3mu3v͉tn+y'3mu3v͉tnpbmubv͉tn+z'3mu3v͉tnpcmucv͉tn+w'3mu3v͉tnpdmudv͉tn+ cc =0
cccccccccccccccc
mŎIn
łB]āBҁiPjAiQjAiRjccɂĎv鏤ii`jAiajAibjAicjccmuccv͒{ł͌n̗ʂ̍v̉ĺA̐lXɂċ邱̏i̗ʂ̍v̉lɓB
@l@ǍnmRn̕KɌ݂ɉZ΁A
mSn
x'1mu1v͉tn+x'2mu2v͉tn+x'3mu3v͉tn+ cc =qa,1mua,1v͉tn+qa,2mua,2v͉tn+qa,3mua,3v͉tn+ cc
@-(q'a,1mua,1v͉tn+q'a,2mua,2v͉tn+q'muq'v͒{ł́uqvna,3mua,3v͉tn+ cc)+x1mu1v͉tn+x2mu2v͉tn+x3mu3v͉tn+ cc
mŎIn
BĊɁA
mSn
X=x1mu1v͉tn+x2mu2v͉tn+x3mu3v͉tn+ cc =0
mŎIn
A
mSn
q'a,1mua,1v͉tn+q'a,2mua,2v͉tn+q'a,3mua,3v͉tn+ cc =qa,1mua,1v͉tn+qa,2mua,2v͉tn+qa,3mua,3v͉tn+ cc
mŎIn
ł邩A
mSn
X'=x'1mu1v͉tn+x'2mu2v͉tn+x'3mu3v͉tn+ cc =0
mŎIn
B݂̂Ȃ炸Alɂ
mSn
Y'=y'1mu1v͉tn+y'2mu2v͉tn+y'3mu3v͉tn+ cc =0
Z'=z'1mu1v͉tn+z'2mu2v͉tn+z'3mu3v͉tn+ cc =0
W'=w'1mu1v͉tn+w'2mu2v͉tn+w'3mu3v͉tn+ cc =0
mŎIn
łA]āAeȋSLvƑSLƂ͑B
@lO@̂ɉi pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cćAz̕ω̑OƓAω̌ɂĂA܂ύtiłBĎsɂ鋣̋@\́AvɁAvZsĉiۓIɌ肷邱ƂɑȂȂ̂ł邩ǍʂB\\̏iύtԂɂĎsɗ^ꂽƂmȕiύtԂɂĎsɗ^ꂽƂvɖT_nAmuvɖT_nA炻ꂼ̗ʂ̏i悤ɔzĂmu炻ꂼ̗ʂ̏i悤ɔzĂvɖT_nǍ҂̊eXɂďLʂ̍v̉lɑ΁mǔ҂̊eXɂďLʂ̍v̉lɑ΁vɖT_nȀi̎sꉿi͕ωȂmȕi̎sꉿi͕ωȂvɖT_nB
@ll@̏ؖ̑SߒA Qamuav͉tn, Qbmubv͉tn, Qcmucv͉tn, Qdmudv͉tn ccωȂƉ肵B]ďLҗႦ΁iPjɂďL鏤ii`jAiajAibjAicjcc̗ʂAl͈͓̔ɂāA܂͌Ƃ΁AȋSvʂłƂ̏[ɂ́ȀL҂̈l܂͑Ⴆ΁iQj܂́iRjɂďL邱̏i̗ʂ́A͈͓̔ɂāA܂͑˂΂ȂȂ̂́A炩łBǂAisɒʂɑ݂A҂ł΁A邽l̏L҂ɂďL鏤i̗ʂ̕ώAl͈̏̔͂̂ɌωłȀL҂̉l̏LʂɂɑωȂ΁Aiɑ΂ڗقǂ̉eȂ̂łȀL҂̓Ȓnʂ܂s̈ʓInʂ̂ωȂƍl邱Ƃ́A炩łB́Aꍇɂ悭p吔@̈ꉞpłBȂ炱ł́A͐wÏ̗̂Ɏ~ĂƎvB牿i΂ɕωȂƗ邽߂ɂ́ALʂ̉lƂ̏Ƒ݂̍vʂłƂ̏̓[ĂƁA肹˂΂ȂȂB
@l܁@s̈ʋύt̒藝́Ǎtŕ\B
@\\s̋ύtԂɂẮmus̋ύtԂɂẮvɖT_nA񏤕is邍̏ǐxz m(m-1) ̉ímu񏤕is邍̏ǐxz m(m-1) ̉ívɖT_nA炍i̒̔Cӂ m-1 ̏iƑ悍Ԗڂ̏iƂ̌xz m-1 ̉iɂĊԐړIɌ肹Ămu炍i̒̔Cӂ m-1 ̏iƑ悍Ԗڂ̏iƂ̌xz m-1 ̉iɂĊԐړIɌ肹ĂvɖT_nB
@ĈʓIύtԂɂẮAׂĂ̏ỉlȀi̒̈ꏤỉlɊ֌W߂āAs̒nʂSɊm肷邱ƂoB̈ꏤi͉lړxmulړxvɖT_nƌĂ΂A̗ʂ̒Pʂ͑PʁmuPʁvɖT_nike'talonljƌĂ΂Bi`jAiajAibjAicjcc̉li`j̉lɊ֌W߂Ɖ肷΁Än̉iB
mSn
pa,amua,av͉tn=1, pb,amub,av͉tn=, pc,amuc,av͉tn=, pd,amud,av͉tn= cc
mŎIn
@̏ỉli`jɊ֌W߂ȂŁAiaj̉lɊ֌W߂Ƃ΁Än̉iB
mSn
mifig45210_118.pngjn
mŎIn
@ā\\鉿lړxŕ\킵imu鉿lړxŕ\킵ivɖT_nẢlړxŕ\킵iɕύXɂ́mủlړxŕ\킵iɕύXɂ́vɖT_nA̓̑O҂ɂĕ\킵imu̓̑O҂ɂĕ\킵ivɖT_nǍ̎ړxŕ\킵Vlړx̒Pʂ̉iŏ΂悢mǔ̎ړxŕ\킵Vlړx̒Pʂ̉iŏ΂悢vɖT_nB
@lZ@̑̌nɂāAi`jłAZ┼fJOi܃Oj̗ʂ̒PʂłAiajłăwNgbg̗̏ʂ̒PʂłƂBsɂāAʓIύtԂ̉ɁÄwNgbgʂɋZlfJOiZOjƌ鎖́A
mSn
pb,amub,av͉tn=24
mŎIn
ɂĕ\킳B͎̂悤ɂ\킳꓾B\\uŕ\킵̉i͓lłBv\\ʂ̒Pʂ𖾂炩ɂ΁A\\uwNgbg̉i͋Z̓lfJOłBv\\܂́Au͈wNgbgŋZ̓lfJỎlBvƂB̕\킵ƁAʓIl@ȂƂi߁jۂ̊K؂肽\킵\\u͈wNgbgœlt̉lBv\\Ƃ̊Ԃɂ́AZ̔fJOmuZ̔fJOvɖT_nƂtmutvɖT_nƂŒuĂƖƂ̍قB̍ق͏[Ȓӂ𕥂Ę_˂΂ȂʁB
@tmutvɖT_nƂ́A命̐lX̍lł́A[gmu[gvɖT_nAOmuOvɖT_nAbgmubgvɖT_nƂƗގ̂łBƂŃ[gmu[gvɖT_n͓̎\킵ĂB܂͎qߐ̂镪̒\킵AɒmuvɖT_n̈sς̒Pʂ\킵ĂBlɃOmuOvɖT_nƂ܂̎\킵ĂB܂ő喧x̏̂ʂ̏dʂ\킵AɏdʁmudʁvɖT_n̈sς̒Pʂ\킷BbgmubgvɖT_neʁmueʁvɖT_nɊւAlɓ̎\킵ĂBʏ̐lXɂ̓tmutvɖT_n܂Ɠ悤Ɍ̂łBȂ킿tƂ́Aɂiʂ̋̂ʂ̉l\킵Aɉl̈sςȒPʂ\킵Ă悤ɌB
@̍l̂ɂ͋ʂׂ̓_܂܂ĂBijtmutvɖT_nƂ͋Z̔fJỎiƁAijPʂƂč̂ꂽ̉i͈sςł邱ƁB̑̓_͏dȌTłāAȂoϊw҂̌TɊׂĂ͂ȂBoϊwɂ킸ɂ挤ĺA[gmu[gvɖT_nƃtmutvɖT_n̊Ԃɖ{IȍقāA[g͒̈sςȒPʂłAt͈łsςłȂAlXɂ葽̈ӌ̍F߂鎖ɂAƏɂĕω̂ł邱ƂAF߂B炱̓__āAKvȂ낤B
@̑̓_ʂƂĂAȂ̓_cĂBȂ킿[gqߐ̎l̈̕S̈̒ł悤ɁAtZ̔fJỎlłƂ_cĂB̌ƂĂoϊw҂́At͕ω郁[gł邪AƂɂ[głƂBׂĂ̒₦Â̖ckɂAω^ȂĂƂ΁A͂̒̌E̓ɂĂ肷邱ƂoȂǍEł͂𑪒肵BƂ낪ׂẲĺAɒm悤ɁAω̉^₦ĂB玞ƏƂ킸Al𑊌݂ɔr邱Ƃ͏oȂB^ꂽƗ^ꂽɂẮẢl𑊌݂ɔrȂ̂ł͂ȂB͂̉ɂĉlv̂łB
@̑̌nɂāAi`j͋łAZ̔fJO̗͋ʂ̒PʂłAiaj͏łAwNgbg͏̗ʂ̒Pʂł邩A̕𗧂Ă邱ƂoƁAlX͐MĂB
mSn
vamuav͉tn=1 t
mŎIn
ĎsɂāÄwNgbgʂɋZ̓lfJOɌ鎖́A
mSn
vbmubv͉tn=24 t
mŎIn
ɂĕ\킳B͎̔̕@\킳B\\u͈wNgbgœlt̉lBv
@ȂƂȂ邱̑_́A_ƓAłB̊֌WɂĂA_̊֌WɂĂƓAlƒAdʁAeςƂ̊Ԃɂ͉̗ގȂB^ꂽႦΉƂ̊Ԍ̒𑪂Ƃɂ́AO̎B̊Ԍ̒Aqߐ̎l̈̕S̈Ayё̒̑̒Ȃ킿ړxɑ΂䂪AłBlɗގA^ꂽʒuƎƂɂė^ꂽlႦΈwNgbg̏̉l𓯗lɑ蓾邽߂ɂ́AlɂO̎Ȃ΂ȂʁB̈wNgbg̉lAZ┼fJỎlẢl̉lȂ킿ړxɑ΂BƂłO̎̂AƑ݂͑ȂBÔ݂݂B͂͂̂̕ƂSɏؖBl͖{IɑΓIȂ̂łB񑊑ΓIl̔wɂ͐ΓIȂ́AȂ킿[ꂽŌ̗~]̋xAȂ킿HBǂΓIłđΓIłȂ̋H́AϓIłAlIłāAIłȂAqϓIłȂB͎̂ɂāÂɂ̂ł͂ȂB̂ɂlɒu邱Ƃ͏oȂBŁAHmuHvɖT_nȂ݂̂˂΁AZ̔fJỎlmuZ̔fJỎlvɖT_nȂ݂̂AtmutvɖT_nƂ͎݂Ȃ̖̂̂łƂƂɂȂBȊwF߂Ȃ΂Ȃʂ̐^ZC͊SɔF߂̂łB
@l@ƂāAlƕxƂ𑪒肵ȂƂƂɂ͂ȂȂB̎ړx̒Pʂ͂鏤îʂłȂ΂Ȃ炸Aî̗ʂ̉lłĂ͂ȂʂƂʂoĂ݂̂łB
@̔@i`jlړxƂAi`j̗ʂ̒Pʂ𑪒PʂƂBl͎瑪肹BȂȂ牿l̔͌ꂽi̗ʂɔႵĒڂɌ邩BāAiajAibjAicjcc̉ĺi`j̉lɑ΂́Aiaj̈Aibj̈Aicj̈Ɍꂽi`j̒PʐAȂ킿i`jŕ\킵iajAibjAicjcc̉iɌB
@̏̉ŁAi`jŕ\킵iajAibjAicjcc̉iȒP pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccŕ\킵AQa,1mua,1v͉tn 
mSn
Qa,1mua,1v͉tn=qa,1mua,1v͉tn+qb,1mub,1v͉tnpbmubv͉tn+qc,1muc,1v͉tnpcmucv͉tn+qd,1mud,1v͉tnpdmudv͉tn+ cc
mŎIn
ƂȂ悤ɁAҁiPjɂďLi`jAiajAibjAicjcc̗ʂ̉l̍vɓi`j̗ʂƂB́AlžɂAqa,1mua,1v͉tn, qb,1mub,1v͉tn, qc,1muc,1v͉tn, qd,1mud,1v͉tn ccω߂邱ƂoBzꂽVʂAE̕iɏi̍vʂƂ̏j΁A͌ҁiPjɁAsɂ pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc̉iŁẢiɂĂ̍ő喞𓾂߂鏊́i`jAiajAibjAicjcc̗ʂl߂B̂ɏî̎XȂʂ̑ʂƍő喞^ʂƂ\킷 Qa,1mua,1v͉tn ́AҁiPjLx̗ʂłB
@̏̉ɂāA
mSn
Qa,2mua,2v͉tn=qa,2mua,2v͉tn+qb,2mub,2v͉tnpbmubv͉tn+qc,2muc,2v͉tnpcmucv͉tn+qd,2mud,2v͉tnpdmudv͉tn+ cc
Qa,3mua,3v͉tn=qa,3mua,3v͉tn+qb,3mub,3v͉tnpbmubv͉tn+qc,3muc,3v͉tnpcmucv͉tn+qd,3mud,3v͉tnpdmudv͉tn+ cc
mŎIn
łƂBQa,2mua,2v͉tn, Qa,3mua,3v͉tn cc͌ҁiQjAiRjccɂďLx̗ʂłB̗ʂ͓ނ̒Pʂ琬Ă邩AQa,1mua,1v͉tn ƂA܂ Qa,2mua,2v͉tn, Qa,3mua,3v͉tn cc݂̊Ԃłr꓾B
@Ō Qamuav͉tn, Qbmubv͉tn, Qcmucv͉tn, Qdmudv͉tn ccsɑ݂i`jAiajAibjAicjcc̑ʂłƂA
mSn
Qamuav͉tn=Qa,1mua,1v͉tn+Qa,2mua,2v͉tn+Qa,3mua,3v͉tn+ cc
@=Qamuav͉tn+Qbmubv͉tnpbmubv͉tn+Qcmucv͉tnpcmucv͉tn+Qdmudv͉tnpdmudv͉tn+ cc
mŎIn
łƂBQamuav͉tn ͎sɑ݂x̑ʂłBĂ̗ʂ́AQa,1mua,1v͉tn, Qa,2mua,2v͉tn, Qa,3mua,3v͉tn ccɔr邱ƂoA܂ Qamuav͉tn, Qbmubv͉tnpbmubv͉tn, Qcmucv͉tnpcmucv͉tn, Qdmudv͉tnpdmudv͉tn ccɔr邱ƂoB
@l@ȏɏqׂƂlyѕx̑̎i̐^̖łBʂɉlړxƂĖ𗧂i͂܂ݕimonnaiejƂĂ𗧂̂łāA̔}EB̏ꍇɂ͉lړx̒Pʂ͉ݕ̒PʂƂȂBlړxE\ƌ̔}E\Ƃ͈ق̐E\łāA˂ĂĂA炩ɋʂȂ΂ȂȂB͉lړxEstāA̔}E\̊TO𖾂炩ɂ˂΂ȂȂB
@i`j̔}ƂĖ𗧂߂邽߂Ɏw肹ꂽiłƂB܂̔@Apbmubv͉tn=, pcmucv͉tn=, pdmudv͉tn= ccłƂBő喞̏ɂAʋύtiɂẮAii`jAiajAibjAicjcc̗LɋꂽʂɓLɎv M, P, R cc N, F, H cc Q, G, K cc S, J, L ccBĒڌ̉ɂẮǍ͎̕ɏ]čsB
mSn
Nvbmubv͉tn=Mvamuav͉tn, Qvcmucv͉tn=Pvamuav͉tn, Svdmudv͉tn=Rvamuav͉tn cc
Gvcmucv͉tn=Fvbmubv͉tn, Jvdmudv͉tn=Hvbmubv͉tn, Lvdmudv͉tn=Kvcmucv͉tn cc
mŎIn
@l@ۂɋ߂悤ɉݕ݂߂鉼ɂẮAƈقBi`jݕƂAiajƂAibjR[q[ƂBۂɂẮA̐Y҂́AݕƌɔAR[q[̐Y҂lłB悤ɂēݕŃR[q[wAwBꂪŎ肵悤Ƃ邱ƂłBi`j̏L҂́Aiłݕ鎖ɂāA҂ƂȂBiaj̏L҂́A낤ƂiaĵׂĂAi  Łi`j̏L҂ɔAƂ邷ׂẮibjAicjAcci , ccŔB͕̑
mSn
(N+F+H+ cc)vbmubv͉tn=(M+F+H+ cc)vamuav͉tn
@(F=G)vamuav͉tn=Gvcmucv͉tn, (H=J)vamuav͉tn=Jvdmudv͉tn cc
mŎIn
ɂĕ\킳B
@ibjAicjcc̏L҂l̍sȂł낤B͕
mSn
(Q+G+K+ cc)vcmucv͉tn=(P+G+K+ cc)vamuav͉tn
(G=F)vamuav͉tn=Fvbmubv͉tn, (K=L)vamuav͉tn=Lvdmudv͉tn cc
(S+J+L+ cc)vdmudv͉tn=(R+J+L+ cc)vamuav͉tn
(J=H)vamuav͉tn=Hvbmubv͉tn, (L=K)vamuav͉tn=Kvcmucv͉tn cc
mŎIn
ɂĕ\킳B
@܁Z@͂ŁA}҂ƂẮi`j̔Ƃ܂Ƃ́Ȁiꎩ̂̉iɂ͉̉e^邱ƂȂɍsƉ肵BۂɂẮA͂ƑSقBe҂̖͌ړIŎ̂߂ɉݕ̒A]Ă̏̉ɂāAiݕƂėpƂ́Ảl͉e󂯂B̂ƂɂĂ͌Ɍł낤B̌𗯕ۂĂAݕ݂̉ƒʉ݂݂̉Ƃ̊ԂɊSȗގ邱Ƃł낤Bۓ̕
mSn
mifig45210_119.pngjn
mŎIn

mSn
mifig45210_120.pngjn
mŎIn
oƓlɁA܂̕
mSn
(F=G)vamuav͉tn=Gvcmucv͉tn, (G=F)vamuav͉tn=Fvbmubv͉tn
mŎIn
A
mSn
Gvcmucv͉tn=Fvbmubv͉tn
mŎIn
oƂoBāA~Ȃ΁Alړx̏ۂāAԐړIi璼ړIiɒBƓlɁAݕ̏ۂāAԐړI璼ړIɓ邱ƂoB
my[Wn

@@@@\܏́@i̍wȐƔ̔ȐBiȐ

mWn
vځ@܈@ȉꍇ͓񏤕ȉꍇɋABi`jAiajAibjAicjccԂ̈ʋύtBiaj̏oBiajɂi`jAibjAicjcc̕IvȐBi`jAibjAicjccɂiaj̕IvȐBi`jAibjAicjcc̏Lҋyсiaj̏L҂̏ꍇBwȐƔ̔ȐBܓ@ȈB܎O@iaj̋ݗʂɓꍇB܎l@i̋ȐB܌܁@wȐƔ̔Ȑ͌瓱oƂoBܘZ@ʂɗB̎sꉿi݂B
mŎIn

@܈@ɗ^i񎵁\\OZ߁jɁAꏤilړxƂč̗p΁ǍʂƂāȀǐ̏ꍇ_܂œ񏤕i݂̊Ԃ̌̏ꍇɋA߂邱ƂoAʋύt̎sꉿǐȒPɂ邱ƂoƂƂoĂBł܂́A̒PA_̌nAp_̌nAȞnA͂Ȃ͂dvȂƂ͐˂΂ȂȂBlړxp邱̉ɗĂ΁AX͂܂܂ۂɋ߂ÂĂ邩łB
@i`jlړxƂBɂāAii`jAibjAicjcc̗LɎvꂽʂ̗LɋꂽʂɓAP', Q', R', S', K', L' ccłƂAi`jŕ\킵ibjAicj̈ʋύti pcmucv͉tn=, pdmudv͉tn= ŌA܂͌悤ƂĂƂBAsɁiajiāAii`jAibjAicjccƌƂB
@ꂾOƂāA̎҂̂iaj̈ꏊL҂̂člBAi`jŕ\킵iaj̉i pbmubv͉tn Ȃ킿iajŕ\킵i`j̉imifig45210_020.pngjnɂāȀL҂iaj obmubv͉tn ʂƂ΁Aނ͂ƌɁAi`j damuav͉tn=obmubv͉tnpbmubv͉tn ʂ󂯂ł낤Bāi`jŕ\킵ibjAicjcc̉imĂ邩Aނ͂́i`j̗ʂAi`jƁibjƁicjccƂ̊ԂɂɔzׂA悭RmāA肷邱ƂoB̌tł΁A肵i ,  ccgĂ̂ɁAނm˂΂Ȃʂ̂́A肷ׂi pbmubv͉tn łBނ͂̉iɂĉ\Ȃ鉼邱ƂoA̉̊eXɑ΂āAグ̌X邢 pbmubv͉tn ̔ƂẮiaj̋ȐɂA邢́mifig45210_020.pngjn̔ƂẮi`jvȐ admudv͉tnapmupv͉tni掵}jɂĕ\킷ƂoB
m}ifig45210_121.pngjn
@ۂɂĂ͑Ŝ悤ɍsBsɐViƁȀȉL҂̗͂ʂ̂ǂꂾ]ɂȀi̗ʂ̂ǂꂾ𓾂ׂ肵Ȁi̋̉ibƂĒB
@A̎҂̂Ai`jAibjAicjcĉׂĂL҂̂člĂ݂BȀL҂i`jŕ\킵iaj̉i pbmubv͉tn ŁAiaj dbmubv͉tn ʂv΁A̐l͂ƌ oamuav͉tn=dbmubv͉tnpbmubv͉tn ɓlȁi`jAibjAicjc̗ʂ^˂΂ȂʁBāi`jŕ\킵ibjAicj̉i悭mĂ̂ł邩A̐ĺA悭RmāÁi`j̗ʂi`jAibjAicjĂɍ\ׂ肵ł낤B̌tł΁A肵i ,  ccmĂ̂ł邩AނmȂ̂́A肷ׂ pbmubv͉tn łBނ́ẢiɂĂ͉\ȂׂẲȂƂoẢ̊eXɑ΂Aグ̌X pbmubv͉tn ̔ƂẮiaj̎vȐ bdmudv͉tnbpmupv͉tn ɂĕ\킷ƂoB
@ł܂AۂɂĂ͑Ŝ悤ɍsBsɐViƁȀȉL҂́A̐Vîǂꂾ̗ʂ𓾁Ȁîǂꂾ̗ʂ]ɂׂ肵ȂȀi̎v̉ibƂĒB
@́A҂iaj̏L҂łƓɁi`jAibjAicjcc̏L҂łꍇɂĂȂB̏ꍇ܂񏤕i݂̊Ԃ̗̌_ɂĂ炩ߒmĂB҂͓̋ȐAȂ킿鉿iɑ΂i`j̎vȐ܂́iaj̋ȐƁẢi̋t̉iɑ΂iaj̎vȐ܂́i`j̋Ȑ˂΂Ȃʁil߁jBĂ̓Ȑ̋ȐɉB
m}ifig45210_122.pngjn
@IvȐāAv̋Ȑ Admudv͉tnApmupv͉tn, Bdmudv͉tnBpmupv͉tni攪}jƂȂBi`j̎vȐ Admudv͉tnApmupv͉tn ́Aiaj̋Ȑ NP oB̋Ȑ͂܂̓i̕IȐ̍vɂAڂɂBlړxłȂiaj̎v̋Ȑł鏊̒Ȑ Bdmudv͉tnBpmupv͉tn ͍wȐmuwȐvɖT_nicourbe d'achatjƌĂ΂AlړxƌɂȂiaj̋̋Ȑł NP ͏߃[Aɒă[Ɂi_ɂājIA̔Ȑmu̔ȐvɖT_nicourbe de ventejƌĂԂƂoBȐ̌_iaj́Ai pbmubv͉tn= 肷B
@ܓ@̍ŏ̌͌Ił낤Bɓ񏤕i݂̊Ԃ̌ɑ݂Ȃ肪ĂBsɁiajȑOɑ݂ʋύtɂẮAi ,  ƁẢiɂČׂ P', Q', R', S', K', L' ccƂ̊Ԃɂ͎̊֌WB
mSn
P'=Q',@R'=S',@K'=L' cc
mŎIn
iaj̏ǒɂ̋ύt݂邽߂ɂ́Ai , ,  Ɨ M, N, P, Q, R, S, F, G, H, J, K, L ccil߁jƂ̊ԂɁAʂ̌@ɂėLɓ֌W
mSn
M=N,@F=G,@H=J cc
mŎIn
Ȃ΂ȂȂ݂̂łȂA܂̊֌W˂΂ȂʁB
mSn
P=Q,@R=S,@K=L cc
mŎIn
Ƃł̌̕ŏ̕ƔrāAeՂ
mSn
mifig45210_123.pngjn
mŎIn
B
@āA\\ʋύtԂɂsɐVꏤiƂƁmuʋύtԂɂsɐVꏤiƂƁvɖT_nȀỉi͉lړxłȂ邱̎vƉlړxƌɂȂ邻̋Ƃ̋ϓɂČ肷̂ł邩mȕỉi͉lړxłȂ邱̎vƉlړxƌɂȂ邻̋Ƃ̋ϓɂČ肷̂ł邩vɖT_nAs̈ʋύtWꂸmus̈ʋύtWꂸvɖT_nA܂iIł邽߂ɂ́mu܂iIł邽߂ɂ́vɖT_nAsɐVȉoȑOyьɂāmusɐVȉoȑOyьɂāvɖT_nȀȋ݂̎v܂͋ۂĂȂ΂Ȃʁmȕȋ݂̎v܂͋ۂĂȂ΂ȂʁvɖT_nB
@̏́AViꍇɂA܂͌̏ïiMȂꍇɂAΓIɏ[邱Ƃ͂قƂǂȂB]ĉiʂŁiaj̎vƋƂ͓Ai ,  ɂi`jAibjAicjcc̎vƋƂ͕sϓƂȂł낤B]ĈʓIȏꍇłẮAvƂȂỉi𓫋M߂˂΂ȂʂAvƂȂỉi߂˂΂ȂʁiOZ߁jBāiaj̉iʂƂ͏قʋύtԂɒB̂łB
@ƂȂ͐ΓIɂ͂قƂǑS[Ȃ݂̂łȂA܂iiaĵ鏤iibj܂́icj̐E\ʂɑp꓾āA҂̉i𒘂߂ꍇz邱ƂoB͓X鏊łB̓ʂȏꍇAiajƓ̏iłƂ΁A܂͐ɎsɂîŁAiiajɂ艽ʂȋ󂯂Ȃ悤ȏilȂƂ΁A̏iłĂ܂ʂɂĂʂłƂ΁Aɂ悤ɂčꂽiaj̔̔ȐyэwȐ琶鉿iʂ́AقڌIȉił낤ƂAeՂɔF߂邱Ƃo悤Bۂ̏ꍇɂ́Aiajƌi`jAibjAicjcc̋ƂȂ邽߂Ɍ邱̏í̕A瑽̏i̊eX؂̂ł͂邪A͋ɂ߂ďłAƂɂ珤i̊eX̗ʂɔrĂ͂悢揬łB炱́̕AiajƑׂ̂Ă̏iƂ̌̓̊𒘂ωʂł낤B
@܎O@ʂ̖łȏꍇŁAɂ߂ĊȒPł͂邪Aɍl鉿l̂ꍇB́AsɌꂽVîׂĂ̏L҂Ȁî݂̏L҂łĂ܂͓ɑ̌ÂȉL҂łĂAƂɂVîׂĂ̗ʁA݂邷ׂĂ̗ʂAȂ鉿iɂĂꍇłB̏ꍇɋN邹グ̓Ȍ`Ԃ́ȀȋSʂxɋƉ肷΁ÂłB̏ꍇɂ́AsꉿíAwIɂ́A OQbmubv͉tn iaj̑ݗʂɓ炵߂悤ȓ_ Qbmubv͉tn ʂĈAi̎ɕsȒ Qbmubv͉tnbmubv͉tn ƍwȐ Bdmudv͉tnBpmupv͉tn Ƃ̌_΂ɂČ肹B̏ꍇɔ̔ȐƂȂ̂͂̕słBȒPȏꍇ͎ۂɂĂ͋ɂ߂Ă΂΂łBȂȂ珤ȋ啔͐YłAʂɂ́AY҂͂̐Y̑Sʂ𔄂邩܂͎̂߂ɂ͋ɂ߂ċ͏̗ʂۗȂłB̏̉ɂĂ͍wȐ͋ɂ߂ĒB݂͑Sʂ̔ƂẲiȐmuiȐvɖT_nƂȂB̋Ȑ̉W͏cWɂĕ\킳鑶݂̑Sʂ̔ƂĂ̂̏ỉi^邩łB
@܎l@iaj݂߁Apbmubv͉tn 肷邽߂ɁAi`jAibjAicjcc̊Ԃɓ̋ύtƉ肷ɁAibj݂߁Apcmucv͉tn 肷邽߂ɁA̋ύti`jAiajAicjcc̊ԂɐƉ肵A܂́icj݂߁Apdmudv͉tn 肷邽߂ɁA̋ύti`jAiajAibjcc̊ԂɐƉ肷邱Ƃo悤B]āAei͂ꂼ̍wȐ̂ƍlA̋Ȑ́A𑶍݂̑SʂɓƑzA吔@ɊāAO̎v܂͋Ⴙ˂΂ȂʂƂ̏ۂ΁Ai̋ȐƂȂBwȐƍlׂ̋Ȑ̈ʓI D=F(p) ƂȂBi̋Ȑƍl邱̓Ȑ̈ʓI Q=F(p) łBiɂĉĂƉ肷΁A
mSn
p=F(Q)
mŎIn
ƂȂB́̕A܂Aux̗_̐wǏviꔪONj̒ɃN[m[IɗĂāAv̕܂͔̔̕ike'quation de la demande ou du de'bitljƌĂ񂾂̂łBꂪp꓾͈͂͂͂Ȃ͂LB
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@i`jlړxƂBĈɏii`jAibjAicjccāAi`jŕ\킵ibjAicjccmuccv͒{ł͌ň肵ʋύti pcmucv͉tn=, pdmudv͉tn= ccŌ݂Ɍ܂͌悤ƂĂƉ肷BɁiajsɌAii`jAibjAicjccƌ悤ƂĂƉ肷B
@iajƁA_Iɂ́AVm pbmubv͉tn ƈ̕

Fbmubv͉tn(pbmubv͉tn, pcmucv͉tn,mu,v͒{ł͌n pdmudv͉tn cc)=0
mŎIn
Vs炽tɓꂽ̑̌nVɍ˂΂ȂʁiO߁jBƂŐɂ悤Ɂi񎵁A񔪐߁jÂ̍vȂ킿 Dbmubv͉tn 𔟐 bmubv͉tn ŎÂ̍v𐳂ɕω̂Ȃ킿 Obmubv͉tn 𔟐 bmubv͉tn ŕ\킹΁AE̕Ǎ`Ƃ邱ƂoB
mSn
bmubv͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)=bmubv͉tn(pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
Ɍ肵i̕ϓyїLv̕ϓ𒊏ۂāA퐔ƍl΁A̍̕ӂ
mSn
bmubv͉tn(pbmubv͉tn, ,  cc)
mŎIn
ƂȂAϐ pbmubv͉tn ̌łB́A􉽊wɂ́AwȐ Bdmudv͉tnBpmupv͉tni攪}jɂĕ\킳BEӂ
mSn
bmubv͉tn(pbmubv͉tn, ,  cc)
mŎIn
ƂȂAϐ pbmubv͉tn ̔łāA߃[瑝債Ɍă[i_ɂājƂȂ锟łB́A􉽊wIɂ͔̔Ȑ NP ɂĕ\킳B̋Ȑ Bdmudv͉tnBpmupv͉tn  NP Ƃ̌_͉i pbmubv͉tn= AƂߎIɌ肷B
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mŎIn

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@SbŽ͎tōő嗘p̏\ĂB\\̏ímu̏ívɖT_nAɂĊe҂󂯂Ō̕q҂̈yёoɑ΂l悤ɁmuɂĊe҂󂯂Ō̕q҂̈yёoɑ΂l悤ɁvɖT_nAľ҂ɕzȂ΂Ȃʁmuľ҂ɕzȂ΂ȂʁvɖT_niOfܕŁjB̕\̕ʖ󂷂邽߁A񏤕ii`jAiajƌĂсA҂iPjAiQjƌĂԁBr=a,1mua,1v͉tn(q), r=b,1mub,1v͉tn(q) ꂼҁiPjɑ΂i`jAiaj̗pȐ̕ƂAr=a,2mua,2v͉tn(q), r=b,2mub,2v͉tn(q) ꂼҁiQjɑ΂i`jAiaj̗pȐłƂBqamuav͉tn ҁiPjɂďLi`j̗ʂƂAqbmubv͉tn ҁiQjɂďLiaj̗ʂƂ damuav͉tn, dbmubv͉tn ꂼi`jAiaj̗ʂƂB̏ɂāASbZ̕\͓̕
mSn
a,1mua,1v͉tn(qamuav͉tn-damuav͉tn)=a,2mua,2v͉tn(damuav͉tn)
a,2mua,2v͉tn(dbmubv͉tn)=b,2mub,2v͉tn(qbmubv͉tn-dbmubv͉tn)
mŎIn
ɂʖ󂹂A炪ҁiPjAiQjɑ΂ damuav͉tn, dbmubv͉tn 肷Bē闘p̍ő́ARƂőłȂƂ͖炩łBȂ킿́AׂĂ̌҂ʂœ̔ŎRɓ񏤕i݂ɗ^܂͎󂯂Ƒe鏊̍őł͂ȂƂ͂܂łȂB́Asɂĉi͏ɈłƂ̏Ayт̉iɂėLvƗLƂ̋ύtƂ̏lʂȂΓIőłA]ďL݂̑lȂΓIőłijmuijv͍sEnB
@ZO@WFHX͎̂悤Ɍ𗧂ĂĂB\\񏤕ǐ䗦́mu񏤕ǐ䗦́vɖT_nAɂď邱珤i̗ʂ̍ŏIp̔ɓmuɂď邱珤i̗ʂ̍ŏIp̔ɓvɖT_niOfňZOŎQƁjBē񏤕ii`jAiajƂAľ҂iPjAiQjƂA1mu1v͉tn, 1mu1v͉tn łꂼҁiPjɑ΂i`jyсiaj̗pA2mu2v͉tn, 2mu2v͉tn łꂼҁiQjɑ΂i`jyсiaj̗p\킵Aa ҁiPjLi`j̗ʂƂAb ҁiQjLiaj̗ʂƂAx, y ꂼi`jAiaj̗ʂƂ΁AWFHX͎E̖ʖ󂵂Ď̓̕ƂĂB
mSn
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mŎIn
̋Lŕ\΁A
mSn
mifig45210_125.pngjn
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@ɂɓ܂͋ɂőzlɂċLBႦΎ̍Hɋ@B𐘂t邽߂ɉݕoƂ́A̋@B͌Œ莑{\\̏dvɂĂ͎͊ɊȒPɏqׂĂ\\ƌĂ񂾂̂̈ꕔ𐬂̂ł邪A̎́AŒ莑{݂ȂݕɋzLAgŒ莑{hƕLAŒ莑{̎ؕɁghƕLċzLB{ɂĂlłBw܂͏idAƒxAxAʂɒnEEqxāAݕɂoƂ́ȂݕƁA{̎ؕɂLB܂̐Y̔̔琶ݕ̋ɂɓ΁A͌̎ؕƗ{̑ݕɁA̋zLB݂̉v̊Kł́A{̑ɁA̓̊ȖڂpB̈͌yюdiؕɋL鏤iA͒nEyїqؕɋLcƔłBKv΁A̍וʂXɏڍׂȕނƂ邱ƂoBEɌĂ悤ɁAʓI{u炷ׂĂ̓튨͑vvZɓāA˂΂ȂʁB
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@l@́AƂ͎ؕɁAƂ͑ݕɋLB{动́Aݕ̑ݎł鎑{Ƃ̐ɍו꓾BŒ莑{͈ʂɎؕɋLB{͂Ƃ͎ؕɂƂ͑ݕɋLBȏオׂĂ̊Ƃ̎vȎl̊łBŒ莑{̎ؕ͌Œ莑{̊zB{̎ؕ́AYɋ̉Ȃ{̊zBEɐLAHƁAsƂɂĂƓA_ƂɂĂp邩ۂBlX͌ɐɂ_ĂB͗vɁA_Ƃ͒npEJEBɓKpĐYoYƂł邩ۂ₤ƂɓB_ƂYƂłƂ΁AL@AAHAZƂɂĂƓA_ƂɂĂpȂ͂͂ȂA̎gpȂɐĂȂƂĂA͍Iɏ݂邱ƂmȂ߂łB͂ɗ_ƎۂƂ݂ɑbstLl̒킯łBAɁALɂĕ\킳YƂ̎ۂ͐Y_̊mɑ傢ɖ𗧂邩łBĂ܂mɁA̗_m΁A_Ƃ̎ۂLvɂĕ\킷̂ɑ傢ɖ𗧂邩łB
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@włƂB́A~OAZZZtƁAɊ֐SLMpeFl؂ꂽAZZZtŎdn߂ƂB̐lXƎƂ͌_сAɂނ͏\NԎAZZZtݗ^`𕉂A͔ނɔNܕx`𕉂BŔނ͏oЈƂȂB́Agɑ΂oЈłāAOAZZZtɑ΂ܕ̗qgɎx˂΂ȂʁB͈ZAZZZt̋ɂɎ[A̎ؕɋLA܂oЈ̑ݕɋLBoЈɕȂA܂͈ꎞɑS̐lȂƂ́Ao҂`AaAb̕ʁX݂̊Ȃ΂ȂʁB
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@ɁAޖ؂̑̍ޗAZZZtw΁ȂݕɓAZZZtLAi̎ؕɓAZZZtLB
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@Z@̂ƂɁAvvZsĂ݂Bo邾ȒPɂ邽߁AiEEY̎c]݂ȂƉ肷B]Ď͏iĂȂ킯ł邪AiɎcBíAɑ΂ēAZZZt𕉂A܂ɑ΂ZAZZZt݂ĂBz͎lZZZtłB́Aǂ痈Ă̂B͂͂Ȃ͂ȒPłBz荂łBہAȂ˂΂ȂȂ̂́Â悤ɍ邱ƂłB́Aޖ؁Ȃ̍ޗwAiłƋY𔄂BƂŐỉîɁAPɌỉî݂łȂAJ̒߂ƂÄʓIpyтz̗v܂܂ĂȂ΂ȂʁBlAZZZt̎c͎OAZZZt̉cƔAAZZZt̗vcBꂪA܂ɉcƔi̎ؕɈڂAɏi̎c𑹉v̎ؕɈڂƂ闝RłBqɂɂ͏icĂȂȀi͒؂˂΂ȂʁB̏ꍇvł͈AZZZt̑ݕƂȂČB΁Av̎ؕɐB
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@͈ZAZZZt󂯁AZAZZZtxoĂBĘZAZZZt̎ؕcB
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@㔪@͏o邾ȒPȗBۂɂẮAɎwEĂ˂΂Ȃʏ̐IŗOłȂ炩̕GB
@AL͑IɂȂ̂ł͂ȂāAɏڍׂɍsB܂͈ɍŝł͂ȂāAɂiĂȂBȂ킿Œ莑{ƂČ܁AZZZtxA̔ɓAZZZtxAcƔƂĎOAZZZtx̂тɁA܂iZAZZZtɔтƂɁALB
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@OA΂ł͂ȂBӐkAlAm͈Ԃ̐Mp󂯂AłςȂŁAɈĂ񑩎`A܂͔ނɈĔނ炪󂯂ב֎`ɂČςBĎ̎`Ƃ́AkAlAm̑ݕɋL̎ؕɋLɁAkAlAm̑ݕɋLA`̎ؕɋLB̂ɐ̏ԂɂẮA`̎ؕ̂łB̊͌ɗނAؕƑݕƂ̍́A̋ɂɂ񑩎`yшב֎`̍vɏɐmɈvB
@lAȂꂾł͂ȂBʂɎ́ȀƎ`󂷂݂̂łȂAsɏnāAO̊߂B悤ɂĂ̎`𗬒ʂƂ́A`̑ݕɋL̎ؕɋLɁA͎`̑ݕɋLs̎ؕɋLBsŎxȂƂ́As̎ؕɋLɁA̎ؕɋLBqɑ銄́AAcƔ̎ؕɋLB
@܁ÁA܂ʂɁAŔȂŁA|ŔBāAwAxAy|ŔƂ́Ai̎ؕɋLȂݕɋLɁAi̎ؕɋLAwAxAy̑ݕɋLB̂ɐԂɂẮA͂鐔̎d抨ݕB
@ZAł܂A͈ʂɁAwAxAyɑ΂ŎxȂňԂ̐Mp󂯂AUo񑩎`܂͔ނ炪Uo󂯂ב֎`ŎxBĂ̎`^΁A͂wAxAy̎ؕƌ̑ݕɋLȂŁAwAxAy̎ؕƎx`̑ݕɋLB̎`xƂ́Ax`̎ؕƌ̑ݕɋLB̂ɐԂɂẮA͎x`̑ݕB
@AŌɁAݎؑΏƕ\쐬ƂAqɂɏiEEYcĂȂƂ͂قƂǂ蓾ȂBꂪ蓾ƂÁAecƊԂ̏IɂĂׂĂ̊₵ƂӖB̒͗JׂƂłAsKvȂƂłBƂłƔ΂Ɏۂɂ́A͉Ƌ̔΁AɈčޖ؂̑̌ŵłBÎ́ȀiɂĂłB͏ɉcƔi̎ؕɈڂBi̍c߂ɁAIꂽi̐mȊzؕɎc悤ɑvɂăoX̂łB̗R͎̔@łBMdmudv͉tn, Mcmucv͉tn ͂ꂼꏤi̎ؕƑݕłAe͉cƔ̎ؕcłAh͒I̊złƂ΁Avꍇɂ́Ai̎ؕ Mdmudv͉tn+F ɂoāA
mSn
(Mdmudv͉tn+F+P)-Mcmucv͉tn=I
mŎIn
ƂȂ˂΂ȂʁBi͎ؕɂhcAv͂oݕɎcB̏ꍇɂ́Aȋݕ Mcmucv͉tn ɋzoāA
mSn
(Mdmudv͉tn+F)-(Mcmucv͉tn+P)=I
mŎIn
ƂȂ˂΂ȂʁBíȀꍇɂAؕɂhcAv͂oؕɎcBƂŉE̓̂o̊źA̕A
mSn
Mdmudv͉tn+F-I}P=Mcmucv͉tn
mŎIn
ɂė^B́̕Â悤ȍl@璼ڂɓoƂoBȂ킿Aꂽ̋zɁAxꂽcƔAꂩgpȂƍ݌ɏiƂTAv΂̊zA΂̊zT΁Ac͔̔zɓB
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mŎIn

@ZZ@̏ۂ̂̏ۂA̖{Iȗ^ƂĎcŏ̘Z̗piꎵ߁jɗAA(T)A(T')A(T'') ccy (P)A(P')A(P'') ccт (K)A(K')A(K'') ccꂼ̊ԒɓynpEJyїBƂBĂ̗p̗ʂ́AijRI܂͐lדIPʗႦΓyñwN^[El̈lE{̈PʂȂǁAijԓIPʗႦΈȂǁA̓̒PʂɂĔʂ̂Ɖ肷B̂ɂꂼ̓yn̈wN^[̒np̗̂ʁAꂼ̐l̘Ĵ̗ʁAꂼ̎{̗B̗̂ʂ킯łB̗p̎ނ̐ƂB
@Eɒ`ꂽpɂāAX́AԒɏi`jAiajAibjAicjcc̐Y𐻑邱ƂoB̐͂邢͒ڂɂȂA邢͌Ə̂Ċɑ݂鐶Y𒇉ƂčsB΁A̐́A邢͒npEJEB̌ɂA邢͒npEJEBɓKp邱ƂɂčsB̑̏ꍇ̏ꍇɊҌ߂邱Ƃ͌ɏqׂ@łBĐꂽY̎ނ̐ƂB
@Z@ÝAelɑ΂ r=(q) ̌`Ƃ闘p܂͗~]ŕ\킵pi掵ܐ߁jBǂpꎩg܂Aelɑ΂AړIpBĉX͐ӂɓynElI\́E{̗p̑S܂͈ꕔ݂邱Ƃo΁Â߂ɕۗĂƂô݂łȂA܂AnpEJEBAYɕό`Ǝ҂̎iɂĂł͂ȂAڂɏ҂̎iɂĊl邱ƂoB΁AnpEJEBAYpƂĂł͂ȂApƂē邱ƂoB͐ɑlE܁EZڂ̉ɕނꂽpׂāAEEOڂ̉ɕނꂽp̔eɓāAF߂iꎵ߁jB̂ɗp܂iłāAelɑ΂邻̗p r=(q) ̌`ԂƂ闘pȐ܂͗~]Ȑɂĕ\킳꓾B
@ꂾOƂāAlisj qtmutv͉tn Aioj qpmupv͉tn Aijj qkmukv͉tn ƂBr=tmutv͉tn(q), r=pmupv͉tn(q), r=kmukv͉tn(q) ccꂼpisjAiojAijjcčlɑ΂Ĉ莞Ԓɂp܂͗~]ȐłƂAr=amuav͉tn(q), r=bmubv͉tn(q), r=cmucv͉tn(q), r=dmudv͉tn(q) ccꂼꐶYi`jAiajAibjAicjcc̓lɑ΂Ĉ莞Ԓɂp܂͗~]ȐłƂB܂ ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cci`jŕ\킵p̎sꉿiłƂApbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc𐶎Y̎sꉿiƂBotmutv͉tn, opmupv͉tn, okmukv͉tn cc̉iɂėLɋꂽp̗ʂƂB̗ʂ͐ł蓾Ȁꍇɂ̗͂ʂ͋ꂽʂB܂͕ł蓾Ȁꍇɂ͎vʂBŌ damuav͉tn, dbmubv͉tn, dcmucv͉tn, ddmudv͉tn ccύtiɂėLɎv鐶Y̗ʂƂBɑ݂鋷`̎{̏pyѕیƐV`̎{̑nړIƂ钙~Ƃ́A̕҂ɏqׂ邱ƂƂĎ̏ۂ΁ȀʂƂ̉iƂ̊ԂɁA
mSn
otmutv͉tnptmutv͉tn+opmupv͉tnppmupv͉tn+okmukv͉tnpkmukv͉tn+ cc =damuav͉tn+dbmubv͉tnpbmubv͉tn+dcmucv͉tnpcmucv͉tn+ddmudv͉tnpdmudv͉tn cc
mŎIn
B܂łAő喞̏Ap̐܂͕̋ƐY̎vƂ肷̂ł邪i攪Z߁jȀɂāA̓ʂƓiƂ̊Ԃɂ́A
mSn
tmutv͉tn(qtmutv͉tn-otmutv͉tn)=ptmutv͉tnamuav͉tn(damuav͉tn)
pmupv͉tn(qpmupv͉tn-opmupv͉tn)=ppmupv͉tnamuav͉tn(damuav͉tn)
kmukv͉tn(qkmukv͉tn-okmukv͉tn)=pkmukv͉tnamuav͉tn(damuav͉tn)
ccccccccc
bmubv͉tn(dbmubv͉tn)=pbmubv͉tnamuav͉tn(damuav͉tn)
cmucv͉tn(qcmucv͉tn)=pcmucv͉tnamuav͉tn(damuav͉tn)
dmudv͉tn(qdmudv͉tn)=pdmudv͉tnamuav͉tn(damuav͉tn)
ccccccc
mŎIn
BȂ킿 n+m-1 ̕AO̕ƍ n+m ̑̌̕n𐬂B̂ŁAm otmutv͉tn, opmupv͉tn, okmukv͉tn cc damuav͉tn, dbmubv͉tn, dcmucv͉tn, ddmudv͉tn cc n+m-mu-v͒{ł́u+vn1 ɏāAi ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn ccmuccv͒{ł͌n̔ƂĂ n+m Ԗڂ̖m^cȂ悤ɉ肷邱ƂoB悤ɂāAisjAiojAijjcc̎̎v܂͋B
mSn
otmutv͉tn=ftmutv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
opmupv͉tn=fpmupv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
okmukv͉tn=fkmukv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
܂iajAibjAicjcc̎̎vB
mSn
dbmubv͉tn=fbmubv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
dcmucv͉tn=fcmucv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
ddmudv͉tn=fdmudv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
ccccccccccccccc
mŎIn
i`j̎v
mSn
damuav͉tn=otmutv͉tnptmutv͉tn+opmupv͉tnppmupv͉tn+okmukv͉tnpkmukv͉tn+ cc -(dbmubv͉tnpbmubv͉tn+dcmucv͉tnpcmucv͉tn+ddmudv͉tnpdmudv͉tn+ cc)
mŎIn
ɂė^B
@Z@lɂāApׂ̑̂Ă̏L҂ɂp̕Iv܂͋̕yѐY̕Iv̕B Otmutv͉tn,mu,v͒{ł͌n Opmupv͉tn, Okmukv͉tn ccp̑Ȃ킿 otmutv͉tn, opmupv͉tn, okmukv͉tn ccɐ otmutv͉tn, opmupv͉tn, okmukv͉tn cc߂ʂƂƂADamuav͉tn, Dbmubv͉tn, Dcmucv͉tn, Ddmudv͉tn ccŐY̑v\킵AFtmutv͉tn, Fpmupv͉tn, Fkmukv͉tn cc Fbmubv͉tn, Fcmucv͉tn, Fdmudv͉tn ccŔ ftmutv͉tn, fpmupv͉tn, fkmukv͉tn cc fbmubv͉tn, fcmucv͉tn, fdmudv͉tn cc̍v\킹΁A߂ʂ̌ړIƂ鎟̂悤ȗp̑̕܂ޑ̌nBLʂɓꍇɊւ鐧𖞑邽߂ɔɗ^ׂɂĂ̗ۂȂ˂΂ȂʂƂ́A̗_ɂĂƓlłi\\߁jB
mSn
Otmutv͉tn=Ftmutv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
mQn
[1] Opmupv͉tn=Fpmupv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
@@Okmukv͉tn=Fkmukv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
܂̂悤ȐY̑v̂̑̌̕nB
mSn
Dbmubv͉tn=Fbmubv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
mQn
[2] Dcmucv͉tn=Fcmucv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
@@Ddmudv͉tn=Fdmudv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
mSn
cccccccccccccccc
Damuav͉tn=Otmutv͉tnptmutv͉tn+Opmupv͉tnppmupv͉tn+Okmukv͉tnpkmukv͉tn+ cc -(Dbmubv͉tnpbmubv͉tn+Dcmucv͉tnpcmucv͉tn+Ddmudv͉tnpdmudv͉tn+ cc)
mŎIn
Ȃ킿ŜŁAn+m ̕B
@ZO@܂Aatmutv͉tn, apmupv͉tn, akmukv͉tn cc btmutv͉tn, bpmupv͉tn, bkmukv͉tn cc ctmutv͉tn, cpmupv͉tn, ckmukv͉tn cc dtmutv͉tn, dpmupv͉tn, dkmukv͉tn cc𐻑WmuWvɖT_nicoefficients de fabricationjȂ킿Yi`jAiajAibjAicjcc̊ePʂ̐ɓ荞ސYIpisjAiojAijjcc̊eX̗ʂƂ΁A߂ʂ肷邽߂ɁA̓g̕B
mSn
atmutv͉tnDamuav͉tn+btmutv͉tnDbmubv͉tn+ctmutv͉tnDcmucv͉tn+dtmutv͉tnDdmudv͉tn+ cc =Otmutv͉tn
mŎIn
mQn
[3] apmupv͉tnDamuav͉tn+bpmupv͉tnDbmubv͉tn+cpmupv͉tnDcmucv͉tn+dpmupv͉tnDdmudv͉tn+ cc =Opmupv͉tn
@@akmukv͉tnDamuav͉tn+bkmukv͉tnDbmubv͉tn+ckmukv͉tnDcmucv͉tn+dkmukv͉tnDdmudv͉tn+ cc =Okmukv͉tn
@@ccccccccccccccccc
mŎIn
́ApꂽYp̗ʂLɋꂽʂɓƂłāAB
mSn
atmutv͉tnptmutv͉tn+apmupv͉tnppmupv͉tn+akmukv͉tnpkmukv͉tn+ cc =1
btmutv͉tnptmutv͉tn+bpmupv͉tnppmupv͉tn+bkmukv͉tnpkmukv͉tn+ cc =pbmubv͉tn
mŎIn
mQn
[4] ctmutv͉tnptmutv͉tn+cpmupv͉tnppmupv͉tn+ckmukv͉tnpkmukv͉tn+ cc =pcmucv͉tn
@@dtmutv͉tnptmutv͉tn+dpmupv͉tnppmupv͉tn+dkmukv͉tnpkmukv͉tn+ cc =pdmudv͉tn
@@ccccccccccccc
mŎIn
́AY̔̔iYp琬鐶YɓƂłāAB
@Zl@ꌩĖ炩Ȃ悤ɁÁAW atmutv͉tn, apmupv͉tn, akmukv͉tn cc btmutv͉tn, bpmupv͉tn, bkmukv͉tn cc ctmutv͉tn, cpmupv͉tn, ckmukv͉tn cc dtmutv͉tn, dpmupv͉tn, dkmukv͉tn cc 挱IɌ肹Ɖ肵BۂɂĂ͂ł͂ȂB鐶Y̐ɓẮA鐶YpႦΒnp葽邢͂菭pA̐YpႦΗB܂͘J邢͂菭邢͂葽p邱ƂoB̂悤ɂāAY̊ePʂ̐ɓ荞ސYp̊eX̗ʂ́AY̐Y͍ŏłȂ΂ȂʂƂ̏ɂāAYp̉iƓɌ肳BɎ́A肹ׂW̐̑̌̕nɂāȀ\킷ł낤B́AȒP邽߁ȀۂAĚW͗^ɑāA̖mɑȂƉ肷B
@̉ƋɁAXɎ́Ä̎Ȃ킿ƂɂsϔpƉϔpƂ̋ʂ𖳎BƎ҂͗v󂯂ȂƉ肹Ă邩Aނ͂܂ʂ̐Y𐻑ĂƉ肹꓾BĂ̏ꍇɂ́A鐫̂p͏i̗ʂɔႷƍl邱ƂoB
@Z܁@ɏqׂĂ悤ɁAYpɓKpꍇÁAYp݂̑̌̏ꍇɕҌB͂Ȃ΂ȂȂBȂȂA͂ꎩg邢͐Yp𑊌݂̌ɂ肠邢͐Yp𑼂̌ɓKp邱ƂɂēǍɂƂ邩łB
@Ⴆ΁iaj̈PʂAisj tmutv͉tn ʁAioj pmupv͉tn ʁAijj kmukv͉tn ʁccilj mmumv͉tn ɓKp邱ƂɂēƂƁAiaj̐Y pbmubv͉tn ͕
mSn
pbmubv͉tn=tmutv͉tnptmutv͉tn+pmupv͉tnppmupv͉tn+kmukv͉tnpkmukv͉tn+ cc +mmumv͉tnpmmumv͉tn
mŎIn
ɂė^B pmmumv͉tn ́ilj̐YłƂBilj͂ꎩgYłāÄPʂ́isj mtmutv͉tnAioj mpmupv͉tnAijj mkmukv͉tn cčɂē邩Ailj̐Y pmmumv͉tn ͕
mSn
pmmumv͉tn=mtmutv͉tnptmutv͉tn+mpmupv͉tnppmupv͉tn+mkmukv͉tnpkmukv͉tn+ cc
mŎIn
ɂė^Bpmmumv͉tn ̒l̕ɑ΁A
mSn
pbmubv͉tn=(tmutv͉tn+mmumv͉tnmtmutv͉tn)ptmutv͉tn+(pmupv͉tn+mmumv͉tnmpmupv͉tn)ppmupv͉tn+(kmukv͉tn+mmumv͉tnmkmukv͉tn)pkmukv͉tn+ cc
mŎIn
B́̕A
mSn
tmutv͉tn+mmumv͉tnmtmutv͉tn=btmutv͉tn,@pmupv͉tn+mmumv͉tnmpmupv͉tn=bpmupv͉tn,@kmukv͉tn+mmumv͉tnmkmukv͉tn=bkmukv͉tn cc
mŎIn
ƒuĂ݂ƁAmSng̑ɑȂȂB
@iljYp𑊌݂̌ɂĂł͂ȂAYp鑼̌ɓKpēƂɁAɂׂA܂ɂĒɗoł낤B
@ZZ@đv 2m+2n ̕BA 2m+2n ̕ 2m+2n-1 ɊҌBہmRnĝ̗̕ӂɂꂼ Ptmutv͉tn, Ppmupv͉tn, Pkmukv͉tn cc悶AmSnĝ̗̕ӂɂꂼ Damuav͉tn, Dbmubv͉tn, Dcmucv͉tn, Ddmudv͉tn cc悶Aeg̕ʁXɉ΁AǓ̕BƂł̓ɂẮAӂ͓łāA]ĉEӂ̊Ԃɕ
mSn
Otmutv͉tnptmutv͉tn+Opmupv͉tnppmupv͉tn+Okmukv͉tnpkmukv͉tn+ cc =Damuav͉tn+Dbmubv͉tnpbmubv͉tn+Dcmucv͉tnpcmucv͉tn+Ddmudv͉tnpdmudv͉tn+ cc
mŎIn
B́AmQnĝ悍Ԗڂ̕ɑȂȂB̂ɁmSng̑ȂāAmQng̑悍Ԗڂ̕cƂoA܂͂̔΂邱ƂoBɂĂA2m+2n-1 ̖mȂ킿ʋύtԂɂijp̋vʂAijp̉iAiOjY̎vvʂAiljY̑悍Ԗڂ̕ŕ\킵 m-1 ̐Ỷi m-1 A肷̂ɁA2m+2n-1 ̕cBؖv邱ƂŎcĂ̂́A̋ύtɊւĂƓAY̋ύtɊւĂ܂Aɗ_I^肪AsɂĎR̋@\ɂĎۓIɂłƂƂłB
@Z@́AɎ̋ύt𐬗߂Ɠ悤ɂāAY̋ύtŏoĐ߂邱ƂƂBȂ킿̂^ԕωȂƉ肵Aɂ̗^̕ω̉e邽߁A̗^ω̂ƍl̂łBY̖̍́A̖̍ɑ݂ȂG悷B
@ɂĂ͏i̕ῶȂB鉿i΂ẢiɑvƋƂȂƂƁAlX́A̎vƋƂ鏊̑̉iԁBɐYɂẮAYp̐Yւ̕ωBp̂鉿i΂AŶʂĂẢiƂ̗ʂƂύtiƋύt̗ʂł͂ȂƂƁAPɑ̉i΂˂΂Ȃʂ݂̂łȂAY̗̑ʂ𐻑˂΂ȂȂB̖ɂĂƓAY̖ɂĂAȖ̍ɂ́A̎lʂ̒ɉAߐY̔Rɒ܂Aɂꂪ̐YɓȂ܂ŁA̔Yɒ߂ΑAY菬ȂΌ鐶Y̎XȂʂAƉƂ؏ŕ\킵ĂƉ肷΂悢B܂nEJҁE{Ƃ́AlɁA܂΂ꂽiɂĂ̗p̗ʁAɂ̗p̎vƋƂϓƂȂ܂ŁA̎vɒ߂܂͕s邱ƂɂVsƂt܂͉鉿iɂĂ̗p̗ʂA؏ŕ\킵ĂƉ肷΂悢B
@ɂȂ̕GB̏ꍇɂ́AЂƂыύt㐬΁A͒ɍsBɐY͂ԂKvƂB͂̊ԂɒPɎ̏ۂāȂ̍悤B́AZ҂ɂāA{mu{vɖT_nƉݕmuݕvɖT_nƂ𓱂悤B̗{ƉݕƂɂāAYp͒ɐYɕό`邱ƂoB҂͂̕ό`ɕKvȎ{ɑ΂闘qx˂΂ȂȂB
@̂悤ɂāAY̋ύt͂܂muvɖT_nBɂ̋ύt́Al@̊Ԃɖ̗^ɕωȂ΁mul@̊Ԃɖ̗^ɕωȂ΁vɖT_nÅԒɐׂYƎnׂp݂̑̈nɂāALmuLvɖT_nɐB
my[Wn

@@@@\́@Ỷ@BỶiyїp̉i̖̐@

mWn
vځ@Z@Ǝ҂Yp𓙉l̕ʂgp悤ƂƂBRɋ΂ꂽYp̉iBZ@Y̌BRɐꂽY̐ʁBZ@Y̔BƎ҂̑vBA@Y̔ƌ̋ϓ̂߂̖̍BO@lړx̎vBY̋ύt̂߂ɉlړx̌PɓƂ̕KvBl@Ǝ҂Yp𓙗ʂȂ炵߂悤ƂƂB܁@p̗LvyыBƎ҂ɂvʁA҂ɂvʁBi[Ɩ̊Ԃωɏ]vƋ̕ωBZAꎵ@p̋Ǝv̋ϓ̂߂̖̍Bꔪ@lړx̎vB@lړx̌Pɓ߂̖̍BZ@YƗp̋ύti̖̐@B
mŎIn

@Z@ŉX͎sɍsāAŐlXRɗp̉i p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cĉAׂY̗ amuav͉tn, bmubv͉tn, cmucv͉tn, dmudv͉tn cci؏ɂĕ\킳ĂƉ肷ĵ肵Ɖ肷BɑĂȂ銈N邩悭ߑ邽߂ɁA͂܂AƎ҂Yi`jAiajAibjAicjcĉʂ𔄂A҂͂wA܂O҂͐YpisjAiojAijjccwA҂͂𔄂A̔鐶Yp̗ʂƔ邻Ƃ͓lł͂邪ʂł͂ȂƉ肵Ả̉ɁAƎ҂vȂΑ󂯂Ȃ悤 amuav͉tn, bmubv͉tn, cmucv͉tn, dmudv͉tn cc肵悤BɁAƎ҂wpƏ҂pƂ͓lłƓɓʂłƉ肵Ả̉ɗp̗LvƋƂϓƂȂ悤 p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc肵悤B̏ꍇɈꌩĖ炩ł悤ɁǍ@͉lړx܂ł̏ۂĂȂɂĂAƂݕ̏ۂĂB
@ŁA̗^ƏƂȂĂ̂̂ł́A`̎{̂܂ܑ݂tƉ肹Ă邱Ƃ𒍈ӂ̂́AӋ`ł͂܂Bɐ悤ɁiZ߁jA{Ƃ͂̎{𒙒~ɂČ`邩AۂɂẮA{͉ݕŒ݂B{̑nƉݕ̌`ԂƂ鎑{݂̒Ƃ𓯎ɍl邱Ƃ́Aɂ悤ƎvB
@Z@isjAiojAijjcc̉i p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn ccmuccv͒{ł͌ńAEɏqׂ悤ɁARɌ肹Ă̂ł邩ǍʂƂāAƎ҂ɑ΂ẮA̐YmuYvɖT_n p'amuav͉tn, p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccA̕猈肹B
mSn
p'amuav͉tn=atmutv͉tnp'tmutv͉tn+apmupv͉tnp'pmupv͉tn+akmukv͉tnp'kmukv͉tn+ cc
p'bmubv͉tn=btmutv͉tnp'tmutv͉tn+bpmupv͉tnp'pmupv͉tn+bkmukv͉tnp'kmukv͉tn+ cc
p'cmucv͉tn=ctmutv͉tnp'tmutv͉tn+cpmupv͉tnp'pmupv͉tn+ckmukv͉tnp'kmukv͉tn+ cc
p'dmudv͉tn=dtmutv͉tnp'tmutv͉tn+dpmupv͉tnp'pmupv͉tn+dkmukv͉tnp'kmukv͉tn+ cc
cccccccccccccc
mŎIn
@ǎ҂F߂ł낤悤ɁAp'amuav͉tn=1 ƂȂ悤ɁAp'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc肷邱ƂRłB́AƏɉāA̎R𗘗p悤BɎāAlړxł鏤i̐ÝAR̐x̉ɂẮAŝtPɓȂ낤Ƃ̂ł邱Ƃ@낤B́i`j̐Y̔̔ił邱ƂAł邱ƂA܂͂炪Ƃo邩̂悤ɐ_悤B
@܂Ai`jAiajAibjAicjcc̓lɋRɌ肹ꂽ amuav͉tn, bmubv͉tn, cmucv͉tn, dmudv͉tn cćA̕ɂāAisjAiojAijjcc̗ tmutv͉tn, pmupv͉tn, kmukv͉tn ccKvƂB
mSn
tmutv͉tn=atmutv͉tnamuav͉tn+btmutv͉tnbmubv͉tn+ctmutv͉tncmucv͉tn+dtmutv͉tndmudv͉tn+ cc
pmupv͉tn=apmupv͉tnamuav͉tn+bpmupv͉tnbmubv͉tn+cpmupv͉tncmucv͉tn+dpmupv͉tndmudv͉tn+ cc
kmukv͉tn=akmukv͉tnamuav͉tn+bkmukv͉tnbmubv͉tn+ckmukv͉tncmucv͉tn+dkmukv͉tndmudv͉tn+ cc
ccccccccccccccccc
mŎIn
@̗ amuav͉tn, bmubv͉tn, cmucv͉tn, dmudv͉tn cc͎R̋@\ɏ]āAƎ҂ɂĔ̔B͂܂YiajAibjAicjcc̔̔̏BɉlړxƂėp鐶Yi`j̔̔̏B
@Z@iajAibjAicjcc̗ bmubv͉tn, cmucv͉tn, dmudv͉tn cćA̕ɏ]āA̔i bmubv͉tn, cmucv͉tn, dmudv͉tn ccŔB
mSn
bmubv͉tn=Fbmubv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc bmubv͉tn, cmucv͉tn, dmudv͉tn cc)
cmucv͉tn=Fcmucv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc bmubv͉tn, cmucv͉tn, dmudv͉tn cc)
dmudv͉tn=Fdmudv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc bmubv͉tn, cmucv͉tn, dmudv͉tn cc)
ccccccccccccccccc
mŎIn
@ۂɁAs͎RɂĎxẑɁAÝAij~]̍ő喞Aijp̉iỶiɒPł邱ƁAiOjʋύt̎O̏ɏ]Ĕ̔il߁jBƂŉȆ̌ńAm-1 ̖m m-1 ̕܂݁AO̏傤Ǐ[̂łB
@āA̔i bmubv͉tn, cmucv͉tn, dmudv͉tn cc͈ʂɐY p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccƈق邩AiajAibjAicjcc𐶎YƎ҂́A̍
mSn
bmubv͉tn(bmubv͉tn-p'bmubv͉tn), cmucv͉tn(cmucv͉tn-p'cmucv͉tn), dmudv͉tn(dmudv͉tn-p'dmudv͉tn)
mŎIn
ɂĕ\킳闘v܂͑󂯂B
@ɉ悤ɁAbmubv͉tn, cmucv͉tn, dmudv͉tn cc bmubv͉tn, cmucv͉tn, dmudv͉tn cc̔łƂA̎̂ɂāǍ̗ʂ͑O҂̗ʂ̔łA]āAiajAibjAicjcc̐ʂKɕω΁A̐Y̔̔i̐YɈv߂邱ƂoB
@@ Fbmubv͉tn, Fcmucv͉tn, Fdmudv͉tn ccȂ锟ł邩A͒mȂBƂ̐A̔̓ pbmubv͉tn ̒l邩܂͑邩ɂA pcmucv͉tn ̒l邩܂͑邩ɂAO pdmudv͉tn ̒l邩邩ɂāiȉljA邩܂͌ƂʂoĂBႦ bmubv͉tn>p'bmubv͉tn łƉ肷΁Abmubv͉tn 𑝉āAbmubv͉tn 邱ƂoB΂ bmubv͉tn<p'bmubv͉tn łƉ肷΁Abmubv͉tn āAbmubv͉tn 𑝑傷邱ƂoBlɁAmifig45210_126.pngjnłƂ΁Acmucv͉tn, dmudv͉tn cc𑝉܂͌āAcmucv͉tn, dmudv͉tn cc܂͑邱ƂoB
@iajAibjAicj̐ʂ 'bmubv͉tn, 'cmucv͉tn, 'dmudv͉tn ccƂ΁A肷͎̔@łB
mSn
'bmubv͉tn=Fbmubv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, cmucv͉tn, dmudv͉tn cc)
'cmucv͉tn=Fcmucv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc bmubv͉tn, p'cmucv͉tn, dmudv͉tn cc)
'dmudv͉tn=Fdmudv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc bmubv͉tn, cmucv͉tn, p'dmudv͉tn cc)
ccccccccccccccccc
mŎIn
@̗ʂ͖̍ɂāAbmubv͉tn, cmucv͉tn, dmudv͉tn ccɑ̂ł邪A͎R̋@\ɏ]A̕ɂāAi 'bmubv͉tn, 'cmucv͉tn, 'dmudv͉tn ccŔB
mSn
'bmubv͉tn=Fbmubv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc 'bmubv͉tn, 'cmucv͉tn, 'dmudv͉tn cc)
'cmucv͉tn=Fcmucv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc 'bmubv͉tn, 'cmucv͉tn, 'dmudv͉tn cc)
'dmudv͉tn=Fdmudv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc 'bmubv͉tn, 'cmucv͉tn, 'dmudv͉tn cc)
cccccccccccccccccc
mŎIn
@Đv̂́A'bmubv͉tn, 'cmucv͉tn, 'dmudv͉tn ccAbmubv͉tn, cmucv͉tn, dmudv͉tn ccAp'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccɋߎĂƂƂłB
@@̎ɍs̍̏ɂẮAp̉i͈łāAωȂB̂Ɋe҂́Alړxŕ\킳ꂽɓ̎
mSn
r=qtmutv͉tnp'tmutv͉tn+qpmupv͉tnp'pmupv͉tn+qkmukv͉tnp'kmukv͉tn+ cc
mŎIn
𓾁AA
mSn
(qtmutv͉tn-otmutv͉tn)p'tmutv͉tn+(qpmupv͉tn-opmupv͉tn)p'pmupv͉tn+(qkmukv͉tn-okmukv͉tn)p'kmukv͉tn+ cc +damuav͉tn+dbmubv͉tnpbmubv͉tn+dcmucv͉tnpcmucv͉tn+ddmudv͉tnpdmudv͉tn+ cc =r
mŎIn
ɏ]āA̎p̏ƐY̏Ƃ̊Ԃɔz˂΂ȂȂB
@iajAibjAicjcĉ鉿iȀîʂꂽʂƂČ肹ĂƂAꂽʂ̈Ⴆ΁iaj܂͌΁AVύt𐬗߂邽߂ɂȂׂ̎́AׂĂ̌҂́iajɑ΂v𑝑傹߂܂͌߂āAɂ苤ʂœ̊ɋH߂܂͑傹߁AɓŁiaj̉iቺ߂܂͍߂邱ƂłB́Aiaj̉iɊւꎟ̍łdvȌʂƏׂ̂̂łBꂾ̂ƂȂAe҂ɂāiaj̏ɔׂz dbmubv͉tnpbmubv͉tn ωȂ΁Aύt͉񕜂悤B̋źA^ׂĂ̏ꍇɂȂ킿iaj̐ʂ̑̏ꍇɂ܂̏ꍇɂA҂ɂĂ͑A҂ɂĂ͌邩AO҂ׂ͂Ă̏i𔄂˂΂Ȃ炸A]Ă炷ׂĂ̏ỉi͉Ɏł낤A҂ׂ͂Ă̏i𔃂˂΂Ȃ炸A]Ă炷ׂĂ̏ỉi𓫋M߂Ɏł낤B́AiajAibjAicjcc̉iɊւA񎟂́AʓIȏdvʂłBɂ͎O̗RBijiaj̏ɓׂz dbmubv͉tnpbmubv͉tn ̕ώA̗v dbmubv͉tn  pbmubv͉tn Ƃ΂̕ɕωƂɂāA肹Ă邱ƁAijׂĂ̏i̔ƔƂ𐶂߂邱̕ώA̎g̐ɂāȀi̔ȗʂ̔܂͔߂ȂƁAiOj̉eƔ̉eƂ݂ɑEƁB
@EɁiaj̐ʂ̕ω̉eɂĂƂ́A܂AibjAicjcc̐ʂ̕ω̉eɂĂ꓾B̂ɂɁAeY̐ʂɂῶ̐Y̔̔iɒڂ̂ׂēƂeyڂA΂ɑ̐Y̐ʂɂώAׂē̕ɍsꂽƑzĂAE̐Y̔̔iɂ͊ԐړIȌ݂ɑ̂Ăx܂Ō݂ɑEeȂBAVʂƐV̔ȋ̌n͂Ƃ̑̌n͋ύtɋ߂̂łāAĂɂ܂܂߂炵߂ɂ́A̍𑱂΂悢B
@̂悤ɂāA
mSn
D'tmutv͉tn=atmutv͉tnamuav͉tn+btmutv͉tnD'bmubv͉tn+ctmutv͉tnD'cmucv͉tn+dtmutv͉tnD'dmudv͉tn+ cc
D'pmupv͉tn=apmupv͉tnamuav͉tn+bpmupv͉tnD'bmubv͉tn+cpmupv͉tnD'cmucv͉tn+dpmupv͉tnD'dmudv͉tn+ cc
D'kmukv͉tn=akmukv͉tnamuav͉tn+bkmukv͉tnD'bmubv͉tn+ckmukv͉tnD'cmucv͉tn+dkmukv͉tnD'dmudv͉tn+ cc
cccccccccccccccccc
mŎIn
ɂāAisjAiojAijjcĉꂼ̗ D'tmutv͉tn, D'pmupv͉tn, D'kmukv͉tnccKvƂ鏊́A
mSn
D'bmubv͉tn=Fbmubv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
D'cmucv͉tn=Fcmucv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
D'dmudv͉tn=Fdmudv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
cccccccccccccccccc
mŎIn
ɂāA̔i p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccŔ鏊́A܂iajAibjAicjcc̊Ǝ҂vȂΑ󂯂Ȃ悤Ȕ̔iŔ鏊́iajAibjAicjcc̗ D'bmubv͉tn, D'cmucv͉tn, D'dmudv͉tn cc肵B
@ƂŁAY̎sɂāAƎ҂v󂯂邩܂͑󂯂邩ɂāA̐Yg܂͐ƂA̖͎̍R̐x̉ɂ܂ɍŝłiꔪ߁jB
@O@ꍑ̎sɂāAYɓ̔i p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccŁAiajAibjAicjcc̗LɎv D'bmubv͉tn, D'cmucv͉tn, D'dmudv͉tn ccɑ΂Ap̑ʂ̕
mSn
O'tmutv͉tn=Ftmutv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
O'pmupv͉tn=Fpmupv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
O'kmukv͉tn=Fkmukv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
cccccccccccccccccc
mŎIn
ɏ]Ď؏̌`̉ɗLɋisjAiojAijjcc̗ O'tmutv͉tn, O'pmupv͉tn, O'kmukv͉tn ccΉĂBĂ̗p̑ʂ́̕AY̑v̕ƍāAő喞Ai̒Pyшʋύt̎O[̑̌n`B
@܂̂ƂAlX͕
mSn
D'amuav͉tn=O'tmutv͉tnp'tmutv͉tn+O'pmupv͉tnp'pmupv͉tn+O'kmukv͉tnp'kmukv͉tn+ cc -(D'bmubv͉tnp'bmubv͉tn+D'cmucv͉tnp'cmucv͉tn+D'dmudv͉tnp'dmudv͉tn+ cc)
mŎIn
ɂČ肹ꂽi`j D'amuav͉tn ʂLɎvB
@݂̂Ȃ炸AY̐Y𐶎Yp̉i̔Ƃė^̑̌n̒Ɋ܂܂Ă邍̕iZ߁jɂꂼ amuav͉tn, D'bmubv͉tn, D'cmucv͉tn, D'dmudv͉tn cc悶A܂Yp̎vʂ𐻑ʂ̔Ƃė^̑̌ni߁jɊ܂܂邎̕ɂꂼ p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc悶Aē̂ěnƂɉ΁AeX̍v̉Eӂ݂͌ɑAE̓̕̑̌nA̎B
mSn
amuav͉tnp'amuav͉tn=D'tmutv͉tnp'tmutv͉tn+D'pmupv͉tnp'pmupv͉tn+D'kmukv͉tnp'kmukv͉tn+ cc
@@-(D'bmubv͉tnp'bmubv͉tn+D'cmucv͉tnp'cmucv͉tn+D'dmudv͉tnp'dmudv͉tn+ cc)
mSn
@Ă܂̎B
mSn
D'amuav͉tn-amuav͉tnp'amuav͉tn=(O'tmutv͉tn-D'tmutv͉tn)p'tmutv͉tn+(O'pmupv͉tn-D'pmupv͉tn)p'pmupv͉tn+(O'kmukv͉tn-D'kmukv͉tn)p'kmukv͉tn+ cc
mŎIn
@lړxł鏤ii`j̐Yʂ͂ȂRɂ肹ȂBƎ҂̗v𓾂󂯂Ȃ悤ɁA̗ʂ肷̂֗łBƂŁA肷邽߂ɂ́Alړx̐Y̔̔iɓƂv͖̂炩łB́Aŏ
mSn
p'amuav͉tn=atmutv͉tnp'tmutv͉tn+apmupv͉tnp'pmupv͉tn+akmukv͉tnp'kmukv͉tn+ cc =1
mŎIn
ƒu̒ӂ΁A邱ƂłB
@̕ȊOɂ́Aύt͂蓾ȂB̕ꂽƉ肷΁AD'bmubv͉tn, D'cmucv͉tn, D'dmudv͉tn ccɂ悤Ɍ肹ꂽƂAύtBۊƎ҂ؓꂽYp̗ʂƁÅƎ҂̐YƌɎ󂯂ʂƂ͓lłBȂȂ p'amuav͉tn ͂PɓAi`j̊Ǝ҂́AiajAibjAicjcc̊Ǝ҂ƓAvȂΑ󂯂ȂłB̂ɁA
mSn
(O'tmutv͉tn-D'tmutv͉tn)p'tmutv͉tn+(O'pmupv͉tn-D'pmupv͉tn)p'pmupv͉tn+(O'kmukv͉tn-D'kmukv͉tn)p'kmukv͉tn+ cc =0
mŎIn
łA]
mSn
D'amuav͉tn=amuav͉tnp'amuav͉tn=amuav͉tn
mŎIn
łB
@Ďۂɂ́Alړxł鐶Y̐YPɓ悤ɗp̉i肹ꂽƂA߂镔ύt𓾂ɂ́Aɂ悤ɁAiajAibjAicjcc̊Ǝ҂vȂ΁A󂯂Ȃ悤ɁAD'bmubv͉tn, D'cmucv͉tn, D'dmudv͉tn cc肷Αł낤Bi`j̎v D'amuav͉tn ͂Rɐꂽ amuav͉tn łBƂŐY҂͐Y D'amuav͉tn+D'bmubv͉tnp'bmubv͉tn+D'cmucv͉tnp'cmucv͉tn+D'dmudv͉tnp'dmudv͉tn cc؏ŔAp D'tmutv͉tnp'tmutv͉tn+D'pmupv͉tnp'pmupv͉tn+D'kmukv͉tnp'kmukv͉tn+ ccwA҂͗p O'tmutv͉tnp'tmutv͉tn+O'pmupv͉tnp'pmupv͉tn+O'kmukv͉tnp'kmukv͉tn+ cc؏ŔAY D'amuav͉tn+D'bmubv͉tnp'bmubv͉tn+D'cmucv͉tnp'cmucv͉tn+D'dmudv͉tnp'dmudv͉tn+ ccwAYp̗pꂽʂƂ̋ʂƂ̋ϓÝmRngAŶׂĂB
@l@̑̕𖞑߂ƓAꂽ̑̌̕n߂˂΂ȂȂBwꂽYp̗ʂƔ̔ꂽYp̗ʂƂ͒Pɓlł邱Ƃv݂̂łȂAʂłȂ΂ȂʁBȂȂ炱̗ʂ܂Y̐ɓ荞ޏ̗ʂł邩B悤ɂāAAp̋Ǝv̋ϓ𐶂߂āAYׂ̖ƂƂȂB
@̋ϓ́A D'tmutv͉tn=O'tmutv͉tn, D'pmupv͉tn=O'pmupv͉tn, D'kmukv͉tn=O'kmukv͉tn ccȂ΁Ał낤B̂Ƃɂ́As̒ĺAY҂ɑ΂ėp̎؏nAY̎؏󂯁A҂ɑ΂Ă͐Y̎؏nAp̎؏󂯁AėpƐYƂ̌ApƗpƂ̌LɍsBǂʂɁAmifig45210_127.pngjnłBAIɏCꂽp̉ibƂāA̍JԂ˂΂ȂʁB̏ꍇ p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc͖{㐳ł邩Ap'amuav͉tn=1, amuav͉tn=D'amuav͉tn Ƃɂ́AA O'tmutv͉tn-D'tmutv͉tn, O'pmupv͉tn-D'pmupv͉tn, O'kmukv͉tn-D'kmukv͉tn cĉÂłƂ΁A͕łA܂̋t藧Ƃ𒍈ӂׂłB
@܁@tŐ otmutv͉tn ̍vȂ킿pisj̗Lɋꂽʂ\킵Aŕ otmutv͉tn ̍vȂ킿i`jAiajAibjAicjcc̐Ŷ߂ɊƎ҂LɎvp̗ʂł͂ȂA҂iƂėLɎvp̗ʁǍtł΁AYpƂĂł͂ȂpƂėLɎv邱̗p̍v\킹΁A O'tmutv͉tn  U-u ̌`Ƃ邱Ƃo悤BāAsmifig45210_128.pngjńA
mSn
mifig45210_129.pngjn
mŎIn
̌`Ƃ邱ƂoB
@D'amuav͉tn ͕ωȂƉ肷BȂ킿 ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cĉȂωɂ炸A]ĐY pamuav͉tn ̕ωȂ̂łɂ炸Ai`j̊Ǝ҂ɓʂ𐶎YƉ肷B΍ӂɂ́Aύ btmutv͉tnD'bmubv͉tn, ctmutv͉tnD'cmucv͉tn, dtmutv͉tnD'dmudv͉tn cccA͉i pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cčłB]āA͉i ptmutv͉tn ̌łB ptmutv͉tn ̐Y͂܂ꎩgi pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc̑ł邩łB܂ύcB܂i ptmutv͉tn ̌łBāAptmutv͉tn [疳ւƑ債Ap'pmupv͉tn, p'kmukv͉tn ccłƂƁAD'tmutv͉tn+u ͂̒l[ɂ܂ŌB
@s̉Eӂ̗B̍t́Aptmutv͉tn ̒l[łƂɃ[ł̂͂A ptmutv͉tn ̂lƂĂȂ[łB́Apisj̒lɔ䂵X̐ỶiłāAꂪ߁A̐Yɑ΂邱̗p̏L҂̎v[łꍇłBi ptmutv͉tn 傷΁At͂܂B̂Ƃɂ́AÝApisjɔ䂵ArIɂȂA̐Y̎vAɔp̋ƓɌB̗p͖̋ɂ͑ȂB͏ƂőʂB̍ő͏L鍇v Qtmutv͉tn ł͂蓾ȂBɂ͌Aisj̉iƂȂ΂Ȃ킿i`jAiajAibjAicjccƂȂ΁A[ƂȂBāAptmutv͉tn ̓[疳܂ő傷ƂAt̓[oA債A㌸A[ɋAB
@Z@̏̉ŁAt[ł邱Ƃ~߂OɁAD'tmutv͉tn+u [ƂȂꍇ\\̏ꍇɂ͖͉Ȃ\\΁Aisj̗LvƗL𓙂炵߂ ptmutv͉tn ̂lB ptmutv͉tn ́Amifig45210_130.pngjnłɏ]āAmifig45210_131.pngjnłmułv͒{ł́uvnBp''tmutv͉tn isj̗Lvm{ł͂ɁuŁvnƗL𓙂炵߂ ptmutv͉tn ̒lƂA''bmubv͉tn, ''cmucv͉tn, ''dmudv͉tnccɏqׂ悤ɂēꂽiajAibjAicjcc̐Yɓ̔iƂA''tmutv͉tn vɓisj̋Ƃ΁A
mSn
''tmutv͉tn=Ftmutv͉tn(p''tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc ''bmubv͉tn, ''cmucv͉tn, ''dmudv͉tn cc)
mŎIn
B
@̑삪sꂽƂ́A
mSn
O'pmupv͉tn=Fpmupv͉tn(p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn cc)
mŎIn

mSn
''pmupv͉tn=Fpmupv͉tn(p''tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc ''bmubv͉tn, ''cmucv͉tn, ''dmudv͉tn cc)
mŎIn
ƂȂBėpioĵ̋͂̎vƂȂ邩܂͏ƂȂBioj̗LƗLvƂ𓙂炵߂ ppmupv͉tnmupv͒{ł́udvn ̂lAA p''tmutv͉tn oɗpƓ̕@ɂāAoƂoBp''pmupv͉tn ̒lƂA'''bmubv͉tn, '''cmucv͉tn, '''dmudv͉tn ccɏqׂ悤ɂāiA߁jꂽiajAibjAicjcc̐Yɓ̔iƂA'''pmupv͉tn vɓioj̋Ƃ΁A
mSn
'''pmupv͉tn=Fpmupv͉tn(p''tmutv͉tn, p''pmupv͉tn, p'kmukv͉tn cc '''mu'''v͒{ł́uIVvnbmubv͉tn, '''cmucv͉tn, '''dmudv͉tn cc)
mŎIn
B
@lɂāA
mSn
IVmuIVv͏tnmuIVv͒{ł́uVIvnkmukv͉tn=Fkmukv͉tn(p''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn cc IVmuIVv͏tnmuIVv͒{ł́uVIvnbmubv͉tn, IVmuIVv͏tnmuIVv͒{ł́uVIvncmucv͉tn, IVmuIVv͏tnmuIVv͒{ł́u'''vndmudv͉tn cc)
mŎIn
AȉlłB
@ꎵ@炷ׂĂ̍sI΁A
mSn
O''tmutv͉tn=Ftmutv͉tn(p''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn cc p''bmubv͉tn, p''cmucv͉tn, p''dmudv͉tn cc)
mŎIn
Bďؖ˂΂ȂʂƂ́A O'tmutv͉tn v D'tmutv͉tn ɋߎĂA葽̋ O''tmutv͉tn v D''tmutv͉tn ɋߎĂ邱ƂłBƂŁA͂قڂ炵BAvɓ炵߂鏊 p'tmutv͉tn  p''tmutv͉tn ւ̕ω͒ڂɂ̉e𐶂AƂisj̎vɑ΂Ă͉ȇS𓯈ɐ߂̂ɔA̋ƎvƂϓ牓鏊 p'pmupv͉tn, p'kmukv͉tn cc p''pmupv͉tn, p''kmukv͉tn ւ̕ω͊Ԑڂɂe𐶂AƂisj̎vɑ΂ẮA΂̂̕x܂ł݂͌ɑEe𐶂邩łB̂ɐVi p''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn cc̑̌ńAi p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc̑̌nύtɋ߂̂łāA̋ύtɂ܂܂ڋ߂ɂ́A@ɏ]ĕωp΂悢B
@Ƃł̖̍́Ap̎sɂĎR̐x̉ɎRIɍŝłBA̐x̉ɎvȂ΁AlX͗p̉i𓫋M߁AvȂ΁Ải߂邩łB
@ꔪ@ύtꂽƉ肷΁AỶíA
mSn
p''amuav͉tn=atmutv͉tnp''tmutv͉tn+apmupv͉tnp''pmupv͉tn+akmukv͉tnp''kmukv͉tn+ cc
p''bmubv͉tn=btmutv͉tnp''tmutv͉tn+bpmupv͉tnp''pmupv͉tn+bkmukv͉tnp''kmukv͉tn+ cc
p''cmucv͉tn=ctmutv͉tnp''tmutv͉tn+cpmupv͉tnp''pmupv͉tn+ckmukv͉tnp''kmukv͉tn+ cc
p''dmudv͉tn=dtmutv͉tnp''tmutv͉tn+dpmupv͉tnp''pmupv͉tn+dkmukv͉tnp''kmukv͉tn+ cc
ccccccccccccccc
mŎIn
łAAYIp̎vʂ́A
mSn
D''tmutv͉tn=atmutv͉tnD'amuav͉tn+btmutv͉tnD''bmubv͉tn+ctmutv͉tnD''cmucv͉tn+dtmutv͉tnD''dmudv͉tn+ cc
D''pmupv͉tn=apmupv͉tnD'amuav͉tn+bpmupv͉tnD''bmubv͉tn+cpmupv͉tnD''cmucv͉tn+dpmupv͉tnD''dmudv͉tn+ cc
D''kmukv͉tn=akmukv͉tnD'amuav͉tn+bkmukv͉tnD''bmubv͉tn+ckmukv͉tnD''cmucv͉tn+dkmukv͉tnD''dmudv͉tn+ cc
cccccccccccccccccccc
mŎIn
łB D''bmubv͉tn, D''cmucv͉tn, D''dmudv͉tn cc͐YiajAibjAicjcc̎v𖞑̂łA D''tmutv͉tn=O''tmutv͉tn, D''pmupv͉tn=O''pmupv͉tnmupv͒{ł́ukvn, D''kmukv͉tn=O''kmukv͉tn cc͗pisjAiojAijjcc̋𖞑̂łBi̕ɂāAp''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn cc p''bmubv͉tn, p''cmucv͉tn, p''dmudv͉tn cc͓ƗϐłBjE̓g̕A̕oB
mSn
D'amuav͉tnp''amuav͉tn=D''tmutv͉tnp''tmutv͉tn+D''pmupv͉tnp''pmupv͉tn+D''kmukv͉tnp''kmukv͉tn+ cc
@@@-(D''bmubv͉tnp''bmubv͉tn+D''cmucv͉tnp''cmucv͉tn+D''dmudv͉tnp''dmudv͉tn+ cc)
mŎIn
@̏ꍇɂ́A̕ɂāAi`j D''amuav͉tn ʂvB
mSn
D''amuav͉tn=o''tmutv͉tnp''tmutv͉tn+O''pmupv͉tnp''pmupv͉tn+O''kmukv͉tnp''kmukv͉tn+ cc
@@-(D''bmubv͉tnp''bmubv͉tn+D''cmucv͉tnp''cmucv͉tn+D''dmudv͉tnp''dmudv͉tn+ cc)
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@ D''tmutv͉tn=O''tmutv͉tn, D''pmupv͉tn=O''pmupv͉tn, D''kmukv͉tn=O''kmukv͉tn ccł邩A
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D''amuav͉tn=D'amuav͉tnp''amuav͉tn
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łB
@ŉ悤ɁÂׂ̕ẮA̗OAꂽB̗ÓAlړxł鏤i̎vƋƂ̋ϓ𐶂߂邱̏i̐Y̕A܂͂̏i̔̔i𐶎YȂ킿Pɓ炵߂邱̏i̎vłBRɁAp''amuav͉tn=1 łƂ΁AD'amuav͉tn=D''amuav͉tn ł낤A܂͂R D'amuav͉tn=D''amuav͉tn łƂ΁Ap''amuav͉tn=1 ł낤BĖ͑ŜłBʂɁAp'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn ccɏqׂ悤ɂāAp''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn ɕωɂ
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atmutv͉tnp'''tmutv͉tn+apmupv͉tnp'''pmupv͉tn+akmukv͉tnp'''kmukv͉tn+ cc =p'''amuav͉tn=1
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ɏ]Ap'''tmutv͉tn, p'''pmupv͉tn, p'''kmukv͉tn 肵ȂA΁mifig45210_132.pngjn̂ꂩłɏ]āAmifig45210_134.pngjnȂ炵߂ȂAׂĂ̖̍JԂ˂΂ȂʁB
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D'''amuav͉tn=O'''tmutv͉tnp'''tmutv͉tn+O'''pmupv͉tnp'''pmupv͉tn+O'''kmukv͉tnp'''kmukv͉tn+ cc
@@-(D'''bmubv͉tnp'''bmubv͉tn+D'''cmucv͉tnp'''cmucv͉tn+D'''dmudv͉tnp'''dmudv͉tn+ cc)
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ɂ D'''amuav͉tn 肵AɑߒƂāAp̎sɂāA
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DIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn=D'''amuav͉tnpIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn
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ɂāADIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn 肷BŏׂؖƂ́ApIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn  p''amuav͉tn Pɋ߂ƂƂłBƂŁÂƂقڂł邱Ƃ́AႦ p''amuav͉tn>1 łꍇɂ́Ap'''bmubv͉tn<p''bmubv͉tn, p'''cmucv͉tn<p''cmucv͉tn, p'''dmudv͉tn<p''dmudv͉tn ccłA]āAD'''bmubv͉tn>D''bmubv͉tn, D'''cmucv͉tn>D''cmucv͉tn, D'''dmudv͉tn>D''dmudv͉tn ccłA]Ă܂ D'''amuav͉tn<D''amuav͉tn ł邱ƂlĂ݂΁AeՂɉBāAp'''amuav͉tn=1 Ȃ΁Ap'''amuav͉tn  pIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn ƂȂ邽߂ɁAiajAibjAicjcc̎v̑ɂđ債Ai`j̎v̌ɂČBp''amuav͉tnmuav͒{ł͌n<1 łꍇɂ́Ap'''amuav͉tn ́ApIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn ƂȂ邽߂ɁAiajAibjAicjcc̎v̌ɂČAi`j̎v̑ɂđƂȂB炢̏ꍇɂǍX͔΂̕ƂĂ邩ẢeɂāApamuav͉tn ́Aptmutv͉tn, ppmupv͉tn, pkmukv͉tn cč܂͑̉eɂĂPɋ߂ÂA葽Pɐڋ߂Bē@p΁A܂܂Pɋ߂ÂBɂɒBApIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn=1 ƂȂƉ肷΁AD'''amuav͉tn=DIVmuIVv͏tnmuIVv͒{ł́uVIvnamuav͉tn A͊SɉB
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D''amuav͉tn=D'amuav͉tnp''amuav͉tn
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łƂɂ́Ai`j̐Y҂̕ D'amuav͉tnp''amuav͉tn łB̂Ƃނ́Ai`j̎v D''amuav͉tn iPŒ񋟂΁AvƂ D'amuav͉tn-D''amuav͉tn=D'amuav͉tn(1-p''amuav͉tn) 𓾂B̍́A p''amuav͉tn<1 ł D'amuav͉tn>D''amuav͉tn łȂ΁A{̈Ӗ̗vikbe'ne'ficeljłB̏ꍇɂ́Aނ͐YgAp''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn cc𑝑傹߁A] p''amuav͉tn 𑝑傹߁Ap''amuav͉tn ͂Pɋ߂ÂBE̍́A p''amuav͉tn>1 łāAD'amuav͉tn<D''amuav͉tn łȂ΁AłBY҂͂̑𕉒S˂΂ȂʁB̂Ƃɂ́Aނ͐Y𐧌Ap''tmutv͉tn, p''pmupv͉tn, p''kmukv͉tn cc߁A] p''amuav͉tn ߁A p''amuav͉tn ͂Pɋ߂ÂBŒӂׂƂ́Ai`j̊Ǝ҂́Alړxł鏤i̐Y̔iȂ킿PłāAmɔނɑ𐶂߂悤ȏꍇɂ́A𐶎YAYP菬Ȃ邩܂͂ɓꍇɂ݂̂𐶎YA𔺂nʂ鎩RĂ邱ƂłBɂAǁi`j̊Ǝ҂́AiajAibjAicjcc̊Ǝ҂̂悤ɁA̔iYȂꍇɂ͂̐YgAY̔iȂꍇɂ͂𐧌ق͂ȂBȌꍇɂ́Aނ́Ap̎sɂāAp̉i𓫋M߁Ȁꍇɂ́A߂B̂̏ꍇɂAނ͋ύt𐶂߂Ɏ̂łB
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@@Ōɂ炭lX́AȊwIɒOOɎdグꂽoϊw̏dvm낤Ɨ~ł낤B́AȊẘϓ_ɗāA܂ŎR̎Ƃč̂Ȃ΂ȂȂA܂̂Ă̂łBہA̉ƂĂ̂Ă̂łBɌ邩ۂ́A܂ŏdvł͂ȂBɂ΁Avẑɍl݂̂őB́A̗^̉ŁAR̐EEʂBǍʂv񂷂΁AE̒ŗp̍ő𐶂߂邱Ƃł邱Ƃ炩ɂȂBɂĂ̎R̎͗v̌܂͗v̏ƂȂB_EHEƂɍזɓKp邱ƂcĂ邾łBďoϊw̌_ɂāA͉pȊw̓ɂ܂ŉ^΂ĂBœǎ҂́A̕@ɑ΂邠锽Θ_炢ɂ̗͂Ał낤B҂͂܂AuRɂ鉿ǐ̗v̈͐lԂ̈ӎułāǍfvZ邱Ƃ͕s\łvƁB́AlԂ̎Rɂ錈fvZ悤Ǝ݂Ƃ͂ȂB̌ʂ𐔊wIɕ\킻Ǝ݂łB̗_ɂẮAe҂͎̗ɊÂāAe̗p~]Ȑ`Ɖ肹ĂBЂƂт̋Ȑ`΁AɂċȐ܂͉iΓIR̉ݓI̐x̉Ɍ邩AƂoBɂl͂AuΓIR͂܂̉ɉ߂ȂBɂĂ͎ŔAWQȂ̌ɂĖWĂB̂ɁAȂpĂ\킵ȂWQv揜ꂽRꎩ݂̂̂̂́ADS𖞑ȊOɉ̗v蓾ȂvƁB̔Θ_̓e̋󋕂ȂƂ͖炩łBアɉȊwiĂAWQAyѐYɓĕ\킵ȂƉ肵Ă݂ĂA\\咣̂͂炭yłAɖvł\\Ă͐Y̎RƂʓIɂėDꂽɂ͓̂łBŔAÊŁAő嗘p𐶂߂B̂ɂW錴́Aő嗘p̎WBĂ̌Ȃ̂ł낤ƂA͏o邾˂΂ȂʁB
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@vamuav͉tn@:vbmubv͉tn@:vcmucv͉tn@:vdmudv͉tn@:cc:vtmutv͉tn@:vpmupv͉tn@:vkmukv͉tn@:cc
::ra,1mua,1v͉tn:rb,1mub,1v͉tn:rc,1muc,1v͉tn:rd,1mud,1v͉tn:cc:rt,1mut,1v͉tn:rp,1mup,1v͉tn:rk,1muk,1v͉tn:cc
::ra,2mua,2v͉tn:rb,2mub,2v͉tn:rc,2muc,2v͉tn:rd,2mud,2v͉tn:cc:rt,2mut,2v͉tn:rp,2mup,2v͉tn:rk,2muk,2v͉tn:cc
::ra,3mua,3v͉tn:rb,3mub,3v͉tn:rc,3muc,3v͉tn:rd,3mud,3v͉tn:cc:rt,3mut,3v͉tn:rp,3mup,3v͉tn:rk,3muk,3v͉tn:cc
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@ڂɏnpEJEB́A邢͎ԂŌvʂ閳ʂA邢͓ynElE{̌vʒPʂɑʂA邱ƂoB̂ɕ\ɂɊւ镔ɁA[ꂽŌ̗~]̋xƏ[Ȃŏ̗~]̋xƂ̂悻ԂɁA{H̍L邱ƂoB܂pɂĂAYɂĂA[ׂŏ̗~]̋x傫H̔ፀʂ̂ɋL邱ƂoB̓̗ۂ΁AYɂĂ̖̎́ApւƊg邱ƂoB\\l͋HɔႷmul͋HɔႷvɖT_nB
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@0.75:2.16:1.50
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@Z@isjAiojAijĵꂼ̕ϋH Rtmutv͉tn, Rpmupv͉tn, Rkmukv͉tn ƌĂсA̕ςZôɁA𕍂yъʓ̐vZɓ邱ƂƂ΁A̕𗧂Ă邱ƂoB
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@񎵁@iϓ̖@͂܂ʉāiO߁jÂ悤Ȍtł\킷ׂłB
@\\lړx̒ɂčssɂāmulړx̒ɂčssɂāvɖT_nAX̐Y܂͗pύtԂɂė^muX̐Y܂͗pύtԂɂė^vɖT_nA̎łāmu̎łāvɖT_nA̐Y܂͗p̈̗p҂̈l܂͑ɑ΂܂͌΁mu̐Y܂͗p̈̗p҂̈l܂͑ɑ΂܂͌΁vɖT_nAlړxŕ\킵̐Y܂͗p̉i͓M܂͉mulړxŕ\킵̐Y܂͗p̉i͓M܂͉vɖT_nB
@̎łāmu̎łāvɖT_nA̐Y܂͗p̈̗ʂ̏̕L҂̈l܂͑ɂđ܂͌΁mu̐Y܂͗p̈̗ʂ̏̕L҂̈l܂͑ɂđ܂͌΁vɖT_nA̐Ỷi͉܂͓Mmu̐Ỷi͉܂͓MvɖT_nB
@X̐Y܂͗p̉i^muX̐Y܂͗p̉i^vɖT_nA̐Y܂͗p̈̗p܂͗ʂ҂܂͏L҂̈l܂͑ɂĕωĂmu̐Y܂͗p̈̗p܂͗ʂ҂܂͏L҂̈l܂͑ɂĕωĂvɖT_nA̋HωȂ΁műHωȂ΁vɖT_nA̐Y܂͗p̉i͕ωȂmu̐Y܂͗p̉i͕ωȂvɖT_nB
@ׂĂ̐Y܂͗p̗pyїʂ҂܂͏L҂̈l܂͑ɂĕωĂmuׂĂ̐Y܂͗p̗pyїʂ҂܂͏L҂̈l܂͑ɂĕωĂvɖT_nA̋H̔䂪ωȂȂ΁műH̔䂪ωȂȂ΁vɖT_nA̐Y܂͗p̉i͕ωȂmu̐Y܂͗p̉i͕ωȂvɖT_nB
@Ȃɓ̖̑𕍂邱ƂoB
@\\ׂĂ̎łāmuׂĂ̎łāvɖT_nAl܂͑̐l̏L邠p̗ʂ܂͌mul܂͑̐l̏L邠p̗ʂ܂͌vɖT_nA]ĉi܂͓M΁mu]ĉi܂͓M΁vɖT_nA̗pĐ鐶Ỷi͉܂͓Mmu̗pĐ鐶Ỷi͉܂͓MvɖT_nB
@̎łāmu̎łāvɖT_nA҂̈l܂͑ɑ΂邠鐶Y̗p܂͌mu҂̈l܂͑ɑ΂邠鐶Y̗p܂͌vɖT_nALv܂͌muLv܂͌vɖT_nA]ĉiM܂͌΁mu]ĉiM܂͌΁vɖT_nA̐Yɓ荞ޗp̉i͓M܂͉mu̐Yɓ荞ޗp̉i͓M܂͉vɖT_nB
@񔪁@\܏͂ɂāA͍wȐyє̔Ȑ`i܈߁jB̌tł΁AʋύtԂɂČsɍŌɒBvȐȂ킿lړxłȂ鏤i̎vȐyщlړx󂯂ĂȂ鏤i̋Ȑ`BɎ́ALʂƑƉ肵AwȐi̋Ȑɕωi܎O߁jB͂ōĂт̊TOɋAāApyѐYɊւĕ[Ȃ΂ȂʁB
@@i`jlړxƂBpiojAijjccƐYi`jAiajAibjAicjccƂ̈ʋύti p'pmupv͉tn, p'kmukv͉tn, cc p'bmubv͉tn, p'cmucv͉tn, p'dmudv͉tn ccŌ݂ɌA܂͌悤ƂĂƂApisj݂̑F߂A܂̏LĂʂF߂āAsɌAyѐY̋@\̂ɎpoƂB
@_Iɂ́isjo΁A̐Vm ptmutv͉tn, Otmutv͉tn Ɠ̕⑫Iȕ𓱂ꂽY̎l̑̌n̐KvƂiZAZO߁jB̓̕⑫Ï́isj̎v
mSn
atmutv͉tnDamuav͉tn+btmutv͉tnDbmubv͉tn+ctmutv͉tnDcmucv͉tn+dtmutv͉tnDdmudv͉tn+ cc =Otmutv͉tn
mŎIn
łÁisj̋
mSn
Otmutv͉tn=Ftmutv͉tn(ptmutv͉tn, ppmupv͉tnmupv͒{ł́ubvn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
łBɂȂ悤Ɂiܐ߁jA otmutv͉tn yѕ otmutv͉tn ꂼtyтŕ\킹΁A́̕A̕
mSn
atmutv͉tnDamuav͉tn+btmutv͉tnDbmubv͉tn+ctmutv͉tnDcmucv͉tn+dtmutv͉tnDdmudv͉tncc+u=U
mŎIn
ƂȂBẢi̕ωƑ̗Lvyы̕ω̏ۂA퐔ƍl΁A̍̕ӂ́A̔ ptmutv͉tn ̌łāA􉽊wIɂ͍wȐ Tdmudv͉tnTpmupv͉tni}jɂĕ\킳꓾BEӂ͓ϐ ptmutv͉tn ̔łāAߑłāAŌƂȂB̒l̓[oă[i_ɂājɋÂłB̉Eӂ͊􉽊wIɂ͔̔Ȑ MN ɂĕ\킳꓾BȐ̌_si ptmutv͉tn 肷B
m}ifig45210_136.pngjn
@OZ@i`jɉlړxƂBpisjAiojAijjccƐYi`jAibjAicjccƂ̈ʋύti p'tmutv͉tn, p'pmupv͉tn, p'kmukv͉tn cc p'cmucv͉tn, p'mu'v͒{ł͌ndmudv͉tn ccŌ݂Ɍ܂͌悤ƂAYiaj̐@AiajÖ̗ɓĂAsɌāAyѐY̋@\̂Ɏp킵ƂB
@_Iɂ́Aiaj̏óA̖mƓ̕⑫I𓱂ꂽVY̎l̑̌nKvƂB̕[Ï́iaj̎v
mSn
Dbmubv͉tn=Fbmubv͉tn(ptmutv͉tn, ppmupv͉tn, pkmukv͉tn cc pbmubv͉tn, pcmucv͉tn, pdmudv͉tn cc)
mŎIn
łÁiaj̐Y
mSn
btmutv͉tnptmutv͉tn+bpmupv͉tnppmupv͉tn+bkmukv͉tnpkmukv͉tn+ cc =pbmubv͉tn
mŎIn
łB
@̉i̕ωA̗Lvyы̕ω̏ۂA퐔ƍl΁ADbmubv͉tn ͗B̕ϐ pbmubv͉tn ́múv͒{ł͌A\ɂnłāA􉽊wIɂ͉iȐ Bdmudv͉tnBpmupv͉tni\}jɂĕ\킳꓾BW pbmubv͉tn _ȁcW͎v Dbmubv͉tn \킷BĎ́AɎ􉽊wI\ɗA킯łB
m}ifig45210_137.pngjn



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