Jack Brouwer Seminar

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Transcript of Jack Brouwer Seminar

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=0/>0

    Cmsgak, Odktrdf `kc Gktmar`tgdk dn

    Kmxt Amkmr`tgdk d!mr `kc"kmra# $#stm%s

    B`ol Irduwmr, Xe.C.

    @ssdog`tmCgrmotdr

    Gkstgtutm ndr "kmra# "&ogmko#'O $`kt` (`r)`r`

    *`roe +, 980=

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9/>0

    utfgkm

    Gktrdcuotgdk

    $g%-fm $-`tg`f $NO *dcmf

    C#k`%go Numf Omff *dcmfs . Odktrdfs $#stm%s

    Cmmfd-%mkt

    "kmra# $#stm%s . gae Ymkm!`)fm mkmtr`tgdkC#k`%gos

    "kmra# $#stm%s . 'tgfgt# Argc Kmt!dr G%-`ots $u%%`r#

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=?/>0

    KNOYO 3dr `kc ssdog`tmc "x-mrgmkom Nukc`%mkt`f `kc `--fgmc rmsm`roe ndr cmmfd-gka `kc

    ukcmrst`kcgka numf omff s#stm%s sogmkom, gktmar`tmc s#stm%scmmfd-%mkt `kc `--fgo`tgdk td tem )ugft mkgrdk%mkt `kcmegofms "%-e`sgs dk egae tm%-mr`turm numf omffs

    Gktmar`tmc s#stm% cmmfd-%mkt ndr `ff numf omff t#-ms

    $t`tgdk`r# numf omff s#stm%s `kc gknr`struoturm

    "x-mrg%mkt`f `kc ku%mrgo`f

    Ymodakgmc "x-mrtgsm gk1

    Numf Omff C#k`%gos `kc Odktrdf O#ofm Odkom-tu`fg`tgdk `kc k`f#sms

    Numf Omff Gktmar`tgdk !gte A`s 5ur)gkms `kc Numf rdomssgka

    (ugft "kgrdk%mkt Gktmar`tgdk

    Numf Omff `kc fua7gk #)rgc 2megofm5mstgka `kc k`f#sms

    Ymkm!`)fm Numf Omff $#stm%s

    #crdamk Gknr`struoturm Cmmfd-%mkt`kc "`fu`tgdk

    gr

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=+/>0

    K`tgdk`f Numf Omff Ymsm`roe Omktmr

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980==/>0

    Gktrdcuotgdk

    "kmra# $#stm%s `rm orgtgo`f td1 "odkd%gms . `ff smotdrs

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=>/>0

    utfgkm

    Gktrdcuotgdk

    $g%-fm $-`tg`f $NO *dcmf

    C#k`%go Numf Omff *dcmfs . Odktrdfs $#stm%s

    Cmmfd-%mkt "kmra# $#stm%s . gae Ymkm!`)fm mkmtr`tgdk

    C#k`%gos

    "kmra# $#stm%s . 'tgfgt# Argc Kmt!dr G%-`ots $u%%`r#

  • 7/21/2019 Jack Brouwer Seminar

    7/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=H/>0

    Gktmar`tmc A`[email protected]`tgdk Numf Omff f`kt

    GANO Odkom-t Gktrdcuotgdk

    Od`frm-6

    Od`fA`[email protected]`tgd

    k

    $#ka`sOfm`k7u- $NO

    A`s5ur)gkm

    $tm`%5ur)gkm

    O9$m-`r`tgdk Ymo#ofm

    o`t`f#tgo e#crd7a`[email protected] GANO s#stm% te`t t`ms `c`kt`am dntem -dtmktg`f )[email protected] dn O+7rgoe s#ka`s numf o`k `oegmm %drm

    te`k >8I m&ogmko# !egfm mk`)fgka o`r)dk cgdxgcm sm-`r`tgdkndr smumstr`tgdk

    4g, mt `f6, durk`f dn d!mr$duroms, 2df6 0M=, Gss6 0H, --6

  • 7/21/2019 Jack Brouwer Seminar

    8/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=/>0

    *dcmf Cmmfd-%mkt

    *dst s#stm% cmmfd-%mkt `kc `k`f#sms `rm )`smcu-dk )uf :87cg%mksgdk`f; %dcmfs

    $mmr`f g%-drt`kt d-mr`tgka odkstr`gkts o`kkdt )m`ssmssmc !gtedut sd%m amd%mtrgo rmsdfutgdk dn tem$NO m` tm%-mr`turm, tm%-mr`turm ar`cgmkts

    Numf dxgc`kt utgfg`tgdk

    3m cmsgrm td rmsdfm sd%m nm`turms dn %dcmrk $NOd-mr`tgdk kmmc od%-ut`tgdk`f sg%-fgogt#/m&ogmko# su&ogmkt td

    gkodr-dr`tm tem %dcmf gktd cmt`gfmc gktmar`tmc a`[email protected]`tgdks#stm%s k`f#sgs

    "x-fgogtf# m`fu`tm `otg`tgdk, de%go, `kc cgusgdk fdssms `s!mff `s gkmtgos dn e#crdo`r)dk rm`otgdks

    rmcgot -mrndr%`kom nm`turms suoe `s tem gktmrk`f

    tm%-mr`turm, ourrmkt/-d!mr cmksgt# `kc Ed! od%[email protected], numf `kc dxgc`kt utgfg`tgdk, ndr m`fu`tgdk dn numf omff

  • 7/21/2019 Jack Brouwer Seminar

    9/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=M/>0

    f`k`r $NO *dcmf Amd%mtr#

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    10/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=08/>0

    Ku%mrgo`f $oem%m

    4g, *6, d!mrs, 6C6, `kc (rdu!mr, 6, durk`f dnNumf Omff

    $ogmkom `kc 5moekdfda#, 2df6 H, --6 8+080H70709, 9808

    "K

    $Y $Y $Y

    $Y $Y $Y

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    11/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=00/>0

    07C *dcmf Gktmar`tgdk gktd $#stm%s k`f#sgs

    O`t`f#tgo e#crd7a`[email protected] GANO s#stm%

    $NO m`t"xoe`kam $#stm%:07C, 862, H?I n;

    4g, mt `f6, durk`f dn d!mr$duroms, 2df6 0M=, Gss6 0H, --6

  • 7/21/2019 Jack Brouwer Seminar

    12/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=09/>0

    07C oduktmr7Ed! $NO %dcmf gk gktmar`tmc GANO`k`f#sgs

    Gktmrk`f rmndr%gka1 -m` tm%-mr`turms %dm tdgktmrgdr

    Gkfmt dutfmt tm%-mr`turms kd fdkamr rm-rmsmkt-m` C5

    utfmt numf/`gr tm%-mr`turms `rm cmorm`smc .cgs`)fgka cd!kstrm`% em`t usm

    gr Ed! rmugrmc ndr 5%`xB988LO gs +F te`t dn 87C

    %dcmf

    Oe`ffmkams [email protected] 87C s6 07C

    numf dut:>=8 J 988; LO

    `gr dut:>=8 J 988; LO

    numf gk>=8 LO

    `gr gk

    >=8 LO

    +$([email protected]$(tgdk-

    C numf dut:>=8 J +8; LO

    `gr dut:>=8 J H8; LO

    numf gk>=8 LO

    `gr gk>=8 LO

    -C

  • 7/21/2019 Jack Brouwer Seminar

    13/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=0?/>0

    GANO mrndr%`kom Od%-`rgsdk

    +tm$ -C d%mf -C "gk/fm "t`/m!duktmr-8dw"0!

    Od`f mkmra# gk-ut 0,?MH A/e :2; 0,?MH A/e :2;

    $NO d-mr`tgdk -rmssurm 08 t% 08 t%

    Ardss -d!mr dut-ut

    $NO mfmotrgo`f -d!mr 9+H6 *3 9+H6? *3

    O`tedcm mxe`ust mx-`kcmr >?6+ *3 0H6> *3

    $tm`% tur)gkm 96> *3 06M *3

    $#ka`s rm`otdr/mx-`kcmrtd--gka o#ofm

    M6? *3 H6> *3

    5dt`f ardss -d!mr amkmr`tmc ?9?6? *3 +?=6> *3

    uxgfg`r# -d!mr odksu%-tgdk :gkod%-fmtm fgst;

    $' 9,0> 3 9,0> 3

    $NO gr od%-rmssdr/)fd!mr >>,M8> 3 9+9,+MM 3

    Ymo#ofmc 9od%-rmssdr ,9?= 3 ,9? 3

    5dt`f gktmrk`f -d!mrodksu%-tgdk `kc fdssms

    +6H *3 9>86= *3

    Kmt mfmotrgo -d!mr 9?6> *3 0H=60 *3 DDD

    mr`ff temr%`f m&ogmko# >06=I :2; +=60I :2;DDD

    4g, *6, Y`d, 6C6, (rdu!mr, 6, `kc $`%umfsmk,durk`f dn d!mr $duroms, 2df60M=, Gss6 0H, --6=H8H7=H0, 98086

  • 7/21/2019 Jack Brouwer Seminar

    14/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=0+/>0

    $tr`tma# ndr *gtga`tgka gae 5 Oe`ffmkam

    O`so`cm $NO st`os

    mr`ff'nB 86H9H

    '`B 86+==

    gr gk>=8LO

    Numf gk>=8LO

    Numf dut>H0LO

    ]n: 8.18

    '`B 860=

    gr ccgtgdk??8LO

    grH0?LO

    Numf gk>=8LO

    Numf dut>MLO

    ]n: 8.1?

    '`B 860>

    gr ccgtgdk??8LO

    grH?9LO

    Numf gk>=8LO

    Numf dutH8+LO

    ]n: 8.1?

    '`B860H

    gr ccgtgdk??8LO

    grH+9LO

    Numf gk>=8LO

    Numf dutH0MLO

    ]n: 8.13

    '`B 860H

    gr dutH=?LO

    4g, *6, Y`d, 6C6, (rdu!mr, 6, `kc $`%umfsmk,durk`f dn d!mr $duroms, 2df60M=, Gss6 0H, --6=H8H7=H0, 98086

  • 7/21/2019 Jack Brouwer Seminar

    15/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=

    0=/>0

    GANO mrndr%`kom Od%-`rgsdk

    +tm$ -C d%mf -C !`so`%gk/!duktmr-8dw"0!s

    Od`f mkmra# gk-ut 0,?MH A/e :2; 0,?MH A/e :2;$NO d-mr`tgdk -rmssurm 08 t% 08 t%

    Ardss -d!mr dut-ut

    $NO mfmotrgo`f -d!mr 9+H6 *3 9+H6 *3

    O`tedcm mxe`ust mx-`kcmr >?6+ *3 H960 *3

    $tm`% tur)gkm 96> *3 96H *3

    $#ka`s rm`otdr/mx-`kcmrtd--gka o#ofm

    M6? *3 H6> *3

    5dt`f ardss -d!mr amkmr`tmc ?9?6? *3 ??86+ *3

    uxgfg`r# -d!mr odksu%-tgdk :gkod%-fmtm fgst;

    $' 9,0> 3 9,0> 3

    $NO gr od%-rmssdr/)fd!mr >>,M8> 3 +,H+ 3 Ymo#ofmc 9od%-rmssdr ,9?= 3 M,HM9 3

    5dt`f gktmrk`f -d!mrodksu%-tgdk `kc fdssms

    +6H *3 08+6? *3

    Kmt mfmotrgo -d!mr 9?6> *3 99>60 *3 D

    mr`ff temr%`f m&ogmko# >06=I :2; =69I :2; D

    4g, *6, Y`d, 6C6, (rdu!mr, 6, `kc $`%umfsmk,durk`f dn d!mr $duroms, 2df60M=, Gss6 0H, --6

  • 7/21/2019 Jack Brouwer Seminar

    16/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=

    0>/>0

    utfgkm

    Gktrdcuotgdk

    $g%-fm $-`tg`f $NO *dcmf

    C#k`%go Numf Omff *dcmfs . Odktrdfs $#stm%s

    Cmmfd-%mkt "kmra# $#stm%s . gae Ymkm!`)fm mkmtr`tgdk

    C#k`%gos

    "kmra# $#stm%s . 'tgfgt# Argc Kmt!dr G%-`ots

    $u%%`r#

  • 7/21/2019 Jack Brouwer Seminar

    17/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=

    0H/>0

    C#k`%go $g%uf`tgdk --rd`oe

    C#k`%go "kmra# $#stm%s $g%uf`tgdk Nr`%m!dr

    *54(/$g%ufgkX mkgrdk%mkt smfmotmc 'smr nrgmkcf#, !gcmf# ``gf`)fm/usmc, gcm`f ndr odktrdfs

    cmmfd-%mkt `kc tmstgka

    *`gk `ssu%-tgdks1 u`sg7stm`c# st`tm oem%gstr# `kc mfmotrdoem%gstr# :m6a6,

    oe`r`otmrgmc )# Kmrkst -dtmktg`f `kc fdssms;

    $g%[email protected] amd%mtr# :)ut gkofucgka sd%m amd%mtrgo rmsdfutgdk; Ndous dk c#k`%go sdfutgdk dn tem mssmktg`f NO `kc

    dtemr od%-dkmkt nm`turms suoe `s1 Kmrkst -dtmktg`f

    "fmotrdoem%go`f fdssms

    $-mogms odkomktr`tgdks `kc *`ss odksmr`tgdk "kmra# odksmr`tgdk

    *d%mktu% odksmr`tgdk

    m`t 5r`ksnmr

    Oem%go`f Ym`otgdk Am%%mk, Y, 4gmsm, "6, Ygmr`, 6, `))`rg, N,`kc (rdu!mr, 6, $*" `-mr Ku%)mr 98887

    A57==+, 98886

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  • 7/21/2019 Jack Brouwer Seminar

    19/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=

    0M/>0

    Xf`k`r `kc Suiuf`r _DNO gsormtg!`tgdk " #$ Kdcms

    %kdcm &`s

    O`tedcm &`s

    "x`%-fm C#k`%go $g%uf`tgdk *dcufms

    Omff _dfgc

    'ktmrodkkmot Xf`tms#$ KDM_

    (MND(JM

    N)MF

    O%S*DM &%_

    OMFF _DF' 'KSM(ODKKMOS

    %KDM &%_

    OMFF S)+M

    %'( _)XXF, X'XM

    O%S*DM &%_

    O(D__ _MOS'DK

    (MND(JM

    N)MF

    X(M-

    *M%SM

    %'(

    f g g f g c f

  • 7/21/2019 Jack Brouwer Seminar

    20/82K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=

    98/>0

    "x`%-fm C#k`%go $g%uf`tgdk *dcufms

    f`k`r Kdc`f $NO m`t 5r`ksnmr Ymsgst`koms

    'KSM(ODKKMOS

    XF%SM

    KDM k KDM k.#

    /

    ((%

    (ODK^

    (ODK^

    (ODK^

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    (ODK(ODK (ODK

    (ODK

    ((%

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    ((% ((%

    OMFF

    (ODK (ODK (ODK

    'KSM(ODKKMOS

    XF%SM

    C g * c fg 5 f 2 [email protected] c

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=90/>0

    C#k`%go *dcmfgka 5ddfs [email protected]

    $gm%mks Gktmar`tmc$NO $#stm%$gkafm Omff *ONO 5mst$t`kc

    $gm%mks/$O" 998 3$NO/A5 #)rgc

    " f $ cc C n

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=99/>0

    "x`%-fm1 $uccmk Cmorm`sm dn d!mr

    #)rgc $NO/A5 $#stm%

    *`kg-uf`tm1 Ymogro6 )fd!mr -d!mr

    Numf Ed!

    gr -rmem`t )#-`ss `fm

    $NO `gr )#-`ss `fm

    Odktrdf1 $#stm% -d!mr

    m` $NO tm%-mr`turm

    $NO tm%-mr`turm ar`cgmkt

    xgcgmr tm%-mr`turm

    mrtur)`tgdk1 $uccmk cmorm`sm nrd% 088I

    td =8I nuff -d!mr*o4`rt#, C6N6, $`%umfsmk, $6, `kc

    (rdu!mr, 6 $*" `-mr NO98087???9, ukm, 9808

    " f $ cc C n

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9?/>0

    "x`%-fm1 $uccmk Cmorm`sm dn d!mr

    #)rgc $NO/A5 $#stm%

    *mt succmk cmorm`smgk -d!mr cm%`kc

    Pm-t $NO -m`tm%-mr`turm 08H? Pcurgka tr`ksgmkt

    Pm-t $NO tm%-mr`turmar`cgmkt 0=8 Pcurgka tr`ksgmkt

    *o4`rt#, C6N6, $`%umfsmk, $6, `kc

    (rdu!mr, 6 $*" `-mr NO98087???9, ukm, 9808

    " f $ cc G g

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9+/>0

    Gktmar`tmc $t`kc7fdkm $NO s#stm%

    *`kg-uf`tm1 Numf Ed!

    (fd!mr -d!mr

    (#-`ss `fm

    Odktrdf1 $#stm% -d!mr

    m` $NO tm%-mr`turm

    $NO tm%-mr`turm [email protected]

    mrtur)`tgdk1 9= td H8 `%- ourrmkt gkorm`sm !gte "K tm%-mr`turm

    nmmc)`o

    "x`%-fm1 $uccmk Gkorm`sm gk d!mr

    *umffmr, N6, `))`rg, N6, (rdu!mr, 6,

    durk`f dn d!mr $duroms, 2df6 0H, Gss69, --6 +=97+>8, 988M

    " f $ cc G g

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9=/>0

    "x`%-fm1 $uccmk Gkorm`sm gk d!mr

    Gktmar`tmc$NOs#stm%

    9= td H8 `%-ourrmkt

    gkorm`sm-mrtur)`tgdk

    Odktrdf `otgdks1

    ?`tgdk`f umf !mff Ymsm`roe

    *umffmr, N6, `))`rg, N6,(rdu!mr, 6, durk`f dn d!mr$duroms, 2df6 0H, Gss6 9, --6

    +=97+>8, 988M

    " f $ cc G g

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9>/>0

    "x`%-fm1 $uccmk Gkorm`sm gk d!mr

    Gktmar`tmc $NO s#stm% 7 9= td H8 `%- ourrmktgkorm`sm !gte "K tm%-mr`turm nmmc)`o

    *umffmr, N6, `))`rg, N6, (rdu!mr, 6,durk`f dn d!mr $duroms, 2df6 0H, Gss6

    9, --6 +=97+>8, 988M

    5 g A tg O t

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9H/>0

    80$ 9? *SNO

    9?s SD

    MFMOS('O FD%3

    0$=

    *,(D&MK3

    8$=

    *M%S SD

    +)'F'K&_

    S*M(J%F FD%3

    #0=>$=

    5rg7Amkmr`tgdk Odkom-t

    4m`f, "6*6, (rdu!mr, 6, 6 Numf Omff$og6

    Ymkm!`)fm 5rg Amk dn d!mr m`t

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9/>0

    $5YA"

    5KP

    CA

    535"Y

    "5

    "FOKA"Y K"Y(GOCGA"$5GKA$ 4C"Y

    $4'CA"

    CGA"$5"Y

    (G4"Y

    _CYA"K_CYA"K$5YA"

    _CYA"KCG$"K$"Y

    N'"45Y"5*"K5

    O3"Y

    GA75N'"4 O"44

    NGY$5 4GO5GK

    r`kam Odukt# $`kgt`tgdk Cgstrgot

    "uofgc "xgt, G+8=, Ndukt`gk 2`ffm#

    $u--drt1 C", Y(,

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=9M/>0

    O$C rdSmot . 3drfc]s Ngrst 5rg7Amk

    =+I 9 d!mr -rdcuotgdk m&ogmko#

    ^ ?,888 Ymkm!`)fm 9megofm [email protected]

    Ymkm!`)fm 9Ngffgka $t`tgdk

    CA numfmc

    CNO79 Xrdcuotgdk 'kgt

  • 7/21/2019 Jack Brouwer Seminar

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=?8/>0

    kdcm"xe`ust

    $gc

    CNO:Cgrmot NumfOmff;

    CA

    Ofm`k7u-$gc

    $#ka`s

    Od%-rmssdr$gc$ $gc

    :-rmssurm s!gka`)sdr-tgdk;

    Od%-rmssdr $gc

    #crdamk$tdr`am5u)ms

    Gkmrtmr "fmotrgo`f (d

    *moe`kgo`f (d

    *`ra`fmn, mt `f6, 6 Numf Omff $og65moekdf6, 2df6 ?, Gss6 9, --6 0?H70+? 988>

    5rg Amkmr`tgdk C#k`%go k`f#sms

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    K`tgdk`f Numf Omff Ymsm`roe Omktmr 980=?0/>0

    5rg7Amkmr`tgdk C#k`%go k`f#sms

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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  • 7/21/2019 Jack Brouwer Seminar

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