Mikhail Alyeksyeyevich Lavryent'yev
Lavryent'yevskiye chtyeniya po matyematikye, myekhanikye i fizikye:
V Myezhdunar. konfyeryentsiya (18-22 syentyabrya 2000 g., Novosibirsk)
 
Oglavlyeniye sbornika tyezisovSnoska

Pritvits N.A. YEstyestvoispytatyel', pryeobrazovatyel', prosvyetityel' ....18
                             SYEKTSIYA A

                       Priglashyennyye lyektsii

Godunov S.K. Tyermodinamichyeskiye tozhdyestva i gruppovaya invariantnost'
v uravnyeniyakh matyematichyeskoi fiziki ................................25

Lavryent'yev M.M. Obratnyye zadachi tomografii i fotomyetrii ............26

Pokhozhayev S.I. Obscii podkhod k problyemye otsutstviya global'nykh ryeshyenii
dlya nyelinyeinykh elliptichyeskikh, parabolichyeskikh i gipyerbolichyeskikh
nyeravyenstv i uravnyenii ...............................................27

Ryeshyetnyak YU.G. Ob ustoichivosti v tyeoryemye Liuvillya o konformnykh
otobrazhyeniyakh v prostranstvye ........................................28

Ovsyannikov L.V. Podmodyeli gazovoi dinamiki ............................30

SHirkov D.V. Funktsional'noye obobscyeniye pi-tyeoryemy .................31

			Ustnyye soobscyeniya

Abdulla U.G. Nyelinyeinaya diffuziya v nyeryegulyarnykh oblastyakh ......33

Gavrilyuk S.L. Simmyetrichyeskiye formy dlya odnogo klassa lagranzhyevykh
modyelyei s dispyersiyei ................................................35

Zyelyenyak T.I., Lyul'ko N.A. Ob odnoi variatsionnoi zadachye ...........36

YElizarov A.M. Izopyerimyetrichyeskiye variatsionnyye obratnyye krayevyye
zadachi i optimizatsiya aerodinamichyeskikh form ........................38

Il'inskii N.B. O dvukh ekstryemal'nykh krayevykh zadachakh
aerogidrodinamiki .......................................................40

Myeirmanov A., Antoniyev S., YUrinskii V. Matyematichyeskiye modyeli
v zadachakh so svobodnymi granitsami v tyeorii fil'tratsii ..............42

Miyakava T. O prostranstvyenno-vryemyennom povyedyenii potokov Nav'ye -
Stoksa v Rn .............................................................43

Monakhov V.N., Gubkina YE.V. Ob odnom variatsionnom myetodye v tyeorii
fil'tratsii zhidkosti so svobodnymi granitsami ..........................45

Sidorov N.A., Sinitsin A.V. Nyetrivial'noye vyetvlyeniye ryeshyenii dlya
statsionarnoi sistyemy Vlasova - Maksvyella .............................46

Tyeshukov V.M. Kinyetichyeskiye modyeli dvizhyeniya puzyr'kovoi
zhidkosti ...............................................................47

CHupakhin A.P. O byeskonyechnykh gruppakh otobrazhyenii ploskosti,
voznikayuscikh v gazovoi dinamikye ......................................48

Fokin M.V. O ryeshyeniyakh uravnyenii Eilyera, obladayuscikh singulyarno
nyepryeryvnym enyergyetichyeskim spyektrom ..............................49

			Styendovyye soobscyeniya

Lavryent'yev M.M.-ml., SHpiglyer R., Akhmyetov D.R. Nyelinyeinoye
intyegroparabolichyeskoye uravnyeniye s malym paramyetrom: razryeshimost' i
ravnomyernyye otsyenki ryeshyeniya ......................................50

Gryebyenyev V.N., Ilyushin B.B. K voprosu o primyenyenii diffyeryentsial'nykh
svyazyei dlya analiza modyelyei turbulyentnosti .........................52

Bautin S.P., Kazakov A.L. Zadacha Rik'ye i nyekotoryye yeye prilozhyeniya
v gazovoi dinamikye .....................................................53

Alyeksyeyev G.V., Adomavichyus E.A., Smyshlyayev A.B., Tyeryeshko D.A.
Obratnyye zadachi dlya statsionarnykh uravnyenii massopyeryenosa v vyazkoi
zhidkosti ...............................................................54

				SYEKTSIYA V

			Priglashyennyye lyektsii

Lyevin V.A. Svyerkhzvukovoye obtyekaniye tyel s lokal'nym enyergovydyelyeniyem
v nabyegayuscyem potokye ................................................57

Toland Dzh.F. Komplyeksno-analitichyeskiye aspyekty variatsionnoi tyeorii
ustanovivshikhsya voln na vodye .........................................58

			Ustnyye soobscyeniya

Barmin A.A., Kondrashov A.V., TSypkin G.G. Voprosy fil'tratsii
parozhidkostnykh sryed s fazovymi pyeryekhodami .........................60

Voinov O.V. Ustoichivost' pyeriodichyeskoi struktury puzyryei ...........61

Gubaidullin D.A. Ploskiye, sfyerichyeskiye i tsilindrichyeskiye vozmuscyeniya
maloi amplitudy v polidispyersnykh tumanakh .............................62

Kyedrinskii V.K., Vshivkov V.A., Dudnikova G.I., SHokin YU.I.
Vzaimodyeistviye i usilyeniye voln puzyr'kovymi sistyemami ..............63

Klimov D.M., Pyetrov A.G. Tochnyye ryeshyeniya krayevoi zadachi o
nyestatsionarnom tyechyenii vyazkoplastichnoi sryedy myezhdu dvumya
plastinami ..............................................................64

Knyazyeva A.G. Napryazhyeniya i dyeformatsii v sfyerichyeskoi chastitsye,
pryetyerpyevayuscyei fazovyi pyeryekhod .................................65

Kovyenya V.M., Lyebyedyev A.S. CHislyennoye modyelirovaniye otryvnykh
tyechyenii okolo tyel ...................................................66

Kornyev V.M. Kolichyestvyennoye opisaniye effyekta Ryebindyera: ot
zamyedlyeniya razrushyeniya do samoproizvol'nogo dispyergirovaniya tyel .67

Lyevin V.A., Markov V.V., Osinkin S.F. Vzryv toroidal'nogo zaryada
na zapylyennoi povyerkhnosti ............................................68

Lyapidyevskii V.YU. Struktura i ustoichivost' katyascikhsya voln v
dvukhsloinykh tyechyeniyakh .............................................69

Maklakov D.V. O volnakh, gyenyeriruyemykh dvizhuscimsya tyelom, i volnovom
soprotivlyenii ..........................................................70

Mausumbyekova S.D., Naimanova A.ZH.. CHislyennoye modyelirovaniye
obtyekaniya tryekhmyernogo pryepyatstviya stratifitsirovannym potokom ...71

Nyeuvazhayev V.YE. CHislyennoye modyelirovaniye dvizhyenii tyeploprovodnogo
gaza s nyeustoichivymi granitsami razdyela ..............................72

Nigmatulin R.I., Gubaidullin A.A., Byeryegova O.SH. O vozmozhnosti
poluchyeniya vysokikh davlyenii v zamknutom ob'yemye puzyr'kovoi sryedy .74

Ovcharova A.S. Matyematichyeskaya modyel' rosta monokristallov, poluchayemykh
myetodom byestigyel'noi zonnoi plavki ...................................75

Pukhnachyev V.V., Solonnikov V.A. Kvazistatsionarnoye priblizhyeniye v
zadachye o dvizhyenii izolirovannogo ob'yema vyazkoi nyeszhimayemoi
kapillyarnoi zhidkosti ..................................................76

Skolan YEv-M., Korobkin A.A. Tryekhmyernaya zadacha ob udarye o vodu ....77

Taldykin M.V. Ekspyerimyental'noye izuchyeniye volnovogo myekhanizma
samoprodvizhyeniya v sploshnoi sryedye ..................................78

Tani A. Zadacha so svobodnymi granitsami dlya uravnyenii Eilyera ........79

SHyestyerikov S.A., YUmashyeva M.A. Volnoobrazovaniye v vyazkoplastichyeskom
styerzhnye pri dinamichyeskom nagruzhyenii ..............................80

Ikhong KHang, Kao Dzh. Primyenyeniye myetoda konyechnogo ob'yema zhidkosti
pri isslyedovanii protsyessa advyektsii-kondyensatsii ...................81

			Styendovyye soobscyeniya

Bukryeyev V.I., Kostomakha V.A. Vnyezapnoye pyeryekrytiye potoka so
svobodnoi povyerkhnost'yu ...............................................82

Voyevodin A.F., Goncharova O.N., YUshkova T.V. Myetod rasscyeplyeniya po
fizichyeskim protsyessam dlya raschyeta konvyektivnykh tyechyenii vyazkoi
zhidkosti ...............................................................83

Volkov P.K. Gidromyekhanika zhidkosti so svobodnoi povyerkhnost'yu v
polye massovykh sil .....................................................84

Gorlov S.I. Svobodnyye vyertikal'nyye dvizhyeniya krugovogo tsilindra
pod svobodnoi povyerkhnost'yu vyesomoi zhidkosti ........................85

Dyem'yanov A.YU., Inogamov N.A., Oparin A.M., KHokhlov V.A.
O nyeustoichivostyakh Ryelyeya-Tyeilora i Rikhtmaiyera-Myeshkova ........86

YErmanyuk YE.V., Gavrilov N.V. Dinamika kolyebanii tvyerdykh tyel v
nyepryeryvno stratifitsirovannoi zhidkosti ..............................87

ZHyapbasbayev U.K., Makashyev YE.P. Goryeniye sistyemy ploskikh
svyerkhzvukovykh vodorodnykh strui v gipyerzvukovom potokye vozdukha ....88

Zakharov YU.V., Okhotkin K.G., Uvayev I.V. Dinamichyeskaya ustoichivost'
uprugikh, magnitnykh i svyerkhprovodyascikh sistyem .....................89

Kabov O.A., Marchuk I.V., CHinnov YE.A. Ryegulyarnyye struktury v
nyeizotyermichyeskikh plyenkakh zhidkosti ...............................91

Karabut YE.A. Ob ustoichivosti soudaryayuscikhsya strui .................92

Katrakhov V.V., KHarchyenko YU.N. O mnogoparamyetrichyeskoi dvumyernoi
modyeli tipa Izinga .....................................................93

Kostandov YU.A., Ryzhakov A.N., SHipovskii I.YE. KHrupkoye razrushyeniye
tvyerdykh tyel s tryescinami ............................................94

Kuznyetsov V.V. Nyestandartnyye zadachi tyeorii pogranichnogo sloya .....95

Kutushyev A.G., Kutyenkov V.V., Rodionov S.P. Napravlyennyi impul'snyi
vybros goryascyei aerovzvyesi unitarnogo topliva iz tsilindrichyeskogo
kanala v atmosfyernyi gaz ...............................................96

Lokoscyenko A.M., Kulagin D.A. Dlityel'naya prochnost' pri ploskom
napryazhyennom sostoyanii s uchyetom vliyaniya okruzhayuscyei sryedy ....98

Ostapyenko V.V. Enyergyetichyeski ustoichivyye povyerkhnosti razryva v
dvukhsloinoi "myelkoi vodye" ............................................99

Palymskii I.B. CHislyennoye modyelirovaniye pyeryekhodnykh konvyektivnykh
tyechyenii .............................................................100

Pyetrov A.G. Intyegrirovaniye uravnyenii dlinnykh voln v formye Drozdovoi-
Kulikovskogo ...........................................................101

Radkyevich YE., Vilmanskii K. Zadacha Rimana dlya porouprugikh matyerialov
s uravnyeniyem balansa dlya poristosti .................................102

Ruzanov P.A. CHislyennyi analiz protsyessov dyeformirovaniya i razrushyeniya
byetonnykh konstruktsii pri dinamichyeskikh nagruzhyeniyakh ............103

Sturova I.V. Gidrodinamichyeskiye nagruzki, dyeistvuyusciye na krugovoi
tsilindr, kolyeblyusciisya v sloye linyeino stratifitsirovannoi
zhidkosti ..............................................................104

Surov V.S. Modyelirovaniye volnovykh yavlyenii v ramkakh obobscyenno-
ravnovyesnoi modyeli mnogokomponyentnoi gyetyerogyennoi sryedy .........105

Takabayev M.K., Nurmakhanova M.B. Nyestatsionarnyye dvizhyeniya sklonovykh
potokov ................................................................106

Timyergaliyev S.N. YEdinstvyennost' ryeshyeniya krayevykh zadach nyelinyeinoi
tyeorii tonkikh obolochyek .............................................107

KHabakhpashyev G.A. Nyelinyeinyye modyeli dlya tryekhmyernykh povyerkhnostnykh
i vnutryennikh voln v odnorodnykh i stratifitsirovannykh zhidkostyakh s
pologimi granitsami ....................................................108

KHabakhpashyeva T.I., Korobkin A.A. Zadacha gidrouprugosti o plavayuscyei
balkye s tryescinoi ....................................................109

KHusnutdinova N.V. Modyel' pogranichnogo sloya s otryvom i poslyeduyuscim
yego prisoyedinyeniyem .................................................110

SHarypov O-V., Myedvyedko K.A. Ob ustoichivosti povyerkhnosti styekayuscyei
plyenki zhidkosti pri nyeodnorodnom nagryevye ..........................111

				SYEKTSIYA S

			Priglashyennyye lyektsii

Adushkin V.V. Ob initsiirovanii vzryvom sozidatyel'nykh protsyessov v
prirodye ...............................................................115

Uoltyerye U., Guch U., Byerkins M. Soprotivlyeniye titanovogo splava
pronikaniyu kumulyativnykh strui, sformirovannykh zaryadom s tantalovoi
oblitsovkoi ............................................................116

Drømin A.N. Otkrytiya v isslyedovanii dyetonatsii molyekulyarnykh
kondyensirovannykh VV v XX vyekye ......................................117

Zyernov L. Tyekhnika "myagkogo" sokhranyeniya i yeye primyenyeniye k sboru i
analizu fragmyentov i pyestov kumulyativnykh strui .....................118

Litvinov B.V. Nyekotoryye ryezul'taty isslyedovaniya effyektov vozdyeistviya
udarnykh skhodyascikhsya voln na tvørdyye vyescyestva ..................119

Rodionov V.N. Kavitatsionnyi puzyr' v vyazkoi tyazhyeloi zhidkosti .....121

Tiggyelyen P. Dzh. Van Ekspyerimyental'nyye podkhody k isslyedovaniyu
struktury i ustoichivosti gazovoi dyetonatsii ..........................122

faulyer K. M. Vozmozhnoye ryeshyeniye problyem, voznikayuscikh pri szhatii
magnitnogo potoka ......................................................124

fudzhivara T. Kosaya dyetonatsiya i chislyennoye modyelirovaniye mnogomyernoi
dyetonatsii ............................................................125

			Ustnyye soobscyeniya

Babkin A.V., Ladov S.V., Fyedorov S.V., Marinin V.M. Fizichyeskiye
aspyekty rastyazhyeniya i razrushyeniya myetallichyeskikh kumulyativnykh strui
v svobodnom polyetye ...................................................127

Bichyenkov YE.I., Zubkov P.I., SHvyetsov G.A. Isslyedovaniya povyedyeniya
vyescyestv, gyenyerirovaniya elyektromagnitnykh polyei i tokov v zadachakh
impul'snoi elyektrofiziki pri vysokikh plotnostyakh enyergii ...........128

Vasil'yev A.A., Valishyev A.I., Vasil'yev V.A. Mogut li vzryvat'sya
gazogidraty? ...........................................................129

ZHarovtsyev V.V., ZHolobov V.V., Sinyayev S.V., KHristyenko YU.F.
Modyelirovaniye vystryela stvol'nykh sistyem s elyektrotyermokhimichyeskim
zazhiganiyem zaryadov iz suspyenzionnogo topliva .......................130

ZHdan S.A., Prokhorov YE.S. Modyelirovaniye yachyeistoi struktury pri
dyetonatsii raspylov ...................................................131

Zvyegintsyev V.I., Myescyeryakov A.A., Topchiyan M.YE., KHaritonov A.M.,
SHitov V. I. Novaya gipyerzvukovaya aerodinamichyeskaya truba dlya ispytanii
modyelyei lyetatyel'nykh apparatov s PVRD ..............................132

Zubkov P.I., Luk'yanchikov L.A., Tyen K.A., Fyedotov M.G., SHyeromov M.A.,
Tolochko B. P., YEvdokov O-V. Primyenyeniye sinkhrotronnogo izluchyeniya
dlya isslyedovaniya vzryvnykh protsyessov ..............................133

Ivanov A.G. Luna - otkolovshayasya chast' Zyemli? ......................135

Kisyelyev S.P., Kisyelyev V.P. O myekhanizmye svyerkhglubokogo pronikaniya
chastits v myetallichyeskuyu pryegradu .................................137

Kozoryezov K.I. Fundamyental'naya rol' ob'yemnoi plotnosti kosmichyeskikh
tyel v raskrytii osobyennostyei udarnykh kratyerov, paradoksa plotnosti
myetyeorov i nyekotorykh tain NLO ......................................138

Mitrofanov V.V. Enyergyetichyeskii krityerii vozbuzhdyeniya dyetonatsii 139

Novikov S.S. O yestyestvyennom vyerkhnyem pryedyelye skorosti idyeal'noi
dyetonatsii CaHbOcNd-kondyensirovannykh vzryvchatykh vyescyestv ........140

Obukhov A.S., Koryen'kov V.V., Smyelikov V.G. Probitiye stal'noi pryegrady
zaryadom s pryedvarityel'no nagryetoi kumulyativnoi oblitsovkoi ........141

Pai V.V., Luk'yanov YA.L., YAkovlyev I.V., Kuz'min G.YE. Izmyenyeniye
magnitnogo polya v myetallichyeskoi poroshkovoi sryedye pri yeye vzryvnom
kompaktirovanii ........................................................142

Pryummyer R., Vyeimar P. Vliyaniye razmyera zyerna na vzryvnoye
kompaktirovaniye korunda ...............................................143

Ryebrov A.K. Nyeravnovyesnyye protsyessy pri impul'snom isparyenii
vyescyestva ............................................................144

Simonov I.V., Osipyenko K.YU. O svyerkhzvukovom pronikanii strui v
kondyensirovannuyu sryedu ..............................................145

Trishin YU.A., Kinyelovskii S.A. Nyekotoryye effyekty poristosti v
kumulyatsii ............................................................146

Fyedorov S.V., Babkin A.V., Ladov S.V., SHvyetsov G.A., Matrosov A. D.
O vozmozhnostyakh upravlyeniya kumulyativnym effyektom vzryva s pomosc'yu
elyektromagnitnykh vozdyeistvii ........................................147

Fomin V.M. Ryeshyeniye zadach myekhaniki sploshnoi sryedy myetodom
molyekulyarnoi dinamiki ................................................148

SHyer YE.N., Martynyuk P.A., CHyernikov A.G. O formye voronki razrushyeniya
gornykh porod pri vzryvye zaglublyennogo zaryada .......................149

			Styendovyye soobscyeniya

Aslanov S.K., Lyubchyenko I.V. Dyetonatsionnyye pryedyely i prostranstvyennaya
modyel' spinovogo ryezhima .............................................150

Babkin A.V., Bondaryenko P.A., Fyedorov S.V., Ladov S.V.,
Kolpakov V. I., Andryeyev S. G. Pryedyely uvyelichyeniya glubiny probitiya
kumulyativnym zaryadom pri impul'snom nagryevye yego oblitsovki ........152

Byelov N.N., YUgov N.T., Afanas'yeva S.A., KHabibullin M.V.,
Valuiskaya L. A. Vzaimodyeistviye vysokoskorostnogo udarnika s
pryegradoi, sodyerzhascyei VV ..........................................153

Braguntsov YE.YA. Isslyedovaniye tyekstur kumulyativnykh oblitsovok ....154

Gavrilyenko T.P., Nikolayev YU.A., Ul'yanitskii V.YU. Novyye vozmozhnosti
dyetonatsionnogo napylyeniya ...........................................155

Gavrilyenko T.P., Ul'yanitskii V.YU., Baranov V.G., Braguntsov YE. YA.
Dyetonatsionnyye tyeplozascitnyye pokrytiya dlya RDTT ..................156

Gyerasimov A.V. CHislyennoye modyelirovaniye asimmyetrichnogo szhatiya obo-
lochyek produktami dyetonatsii .........................................157

Gilyev S.D., Mikhailova T.YU. Elyektromagnitnoye polye v provodnikye,
szhimayemom udarnoi volnoi v magnitnom polye ...........................158

Dyemidkov S.V. Ispol'zovaniye vnyeshnikh magnitnykh polyei dlya upravlyeniya
paramyetrami kumulyativnogo effyekta vzryva ............................159

Dyeribas A.A., Simonov P.A., Filimonyenko V.N., SHtyertsyer A.A.
Dlinnoimpul'snoye vzryvnoye kompaktirovaniye almaznogo poroshka ........160

Zyelyepugin S.A., Nikulichyev V.B. CHislyennoye isslyedovaniye povyedyeniya
khimichyeski aktivnoi smyesi pri udarno-volnovom nagruzhyenii ..........161

Zubkov P.I., Luk'yanchikov L.A., Titov V.M., Tyen K.A., Kudipanov G.N.,
Mishnyev S.I., Fyedotov M.G., SHyeromov M.A., Dyakhov N.3., Tolochko B.P.
Isslyedovaniye dinamiki vozniknovyeniya chastits kondyensirovannoi fazy
v produktakh dyetonatsii ...............................................162

Zubkov P.I., Tyen K.A., Svikh V.G. Elyektroprovodnost' za frontom
dyetonatsii v nasypnom oktogyenye ......................................164

Ivanov A.G., Syrunin M.A., Fyedoryenko A.G., Ryzhanskii V.A.
O kontsyeptsii sozdaniya kamyer dlya enyergyetiki vzryvnogo tyermoyadyernogo
sintyeza ...............................................................165

Kinyelovskii S.A., Trishin YU.A., Gromilov S.A. Isslyedovaniye uslovii
sintyeza karbido-nitridnykh faz titana i vol'frama v kumulyativnom
protsyessye ............................................................166

Lukashyev L.G., Kudyakov A.A. Svarnyye yavlyeniya na povyerkhnosti kontakta
udarnik-mishyen' pri soudaryenii sfyerichyeskoi chastitsy s tonkim
ekranom ................................................................167

Manzhalyei V.I. Struktura i oblasti suscyestvovaniya razlichnykh tipov
dyetonatsionnykh voln i plamyeni v kanalye .............................168

Markyelov G.YE. Vliyaniye nachal'noi tyempyeratury obolochki na pryedyel'noye
udlinyeniye elyemyentov kumulyativnoi strui ............................170

Sitnikov V.I., Musatov V.V., Syelyeznyev A.I., Vyedyernikov YU.A.
W-obraznyye oblitsovki dlya formirovaniya udarnykh elyemyentov .........171

Tarasov V.I., YAnilkin YU.V., Vyedyernikov YU.A. Tryekhmyernoye chislyennoye
modyelirovaniye kumulyativnykh zaryadov so zvyezdoobraznoi formoi
oblitsovki .............................................................172

Tyeslyenko V.S., Drozhzhin A.P., Sankin G.N., Mitrofanov V.V.
Gyenyeratsiya i fokusirovka udarno-akustichyeskikh voln dlya isslyedovaniya
fiziko-khimichyeskikh protsyessov v zhidkikh sryedakh ..................173

Trotsyuk A.V. CHislyennoye isslyedovaniye nyestatsionarnykh mnogomyernykh
protsyessov gazovoi dyetonatsii ........................................174

Fyedorov A.V., KHmyel' T.A. Problyemy initsiirovaniya dyetonatsii v
aerovzvyesi chastits alyuminiya pri udarno-volnovom vozdyeistvii .......175

KHoryev I.YE., Zyelyepugin S.A., Raspopov V.V. O razrushyenii matyerialov
i konstruktsii v problyemye vysokoskorostnykh udarnykh yavlyenii .......176

Avtorskii ukazatyel' ...................................................177


Vvyerkh
Lavryent'yevskiye chtyeniya po matyematikye, myekhanikye i fizikye: V Myezhdunar. konf. (18-22 syentyabrya 2000 g., Novosibirsk, Rossiya). Posvyascyena 100-lyetiyu so dn. rozhd. akad. Mikhaila Alyeksyeyevicha Lavryent'yeva: Tyez. dokl. / RAN. Sib. otd-niye, In-t gidrodinamiki im. M.A.Lavryent'yeva, In-t matyematiki im. S.L.Sobolyeva, In-t tyeor. i prikl. myekhaniki; M-vo obrazov. RF, Novosib. gos. un-t; Otv. ryed. V.V.Sil'vyestrov. - Novosibirsk: In-t gidrodinamiki SO RAN, 2000. - 180 s.

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