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@5iZf35 j[w)7V~Lr\LDh۔YEaifVlle3P 5d>(;}$ʌw)|?qj 5e"(}$ʎ _6֐m?渽o֘Fa%h @.xg͉]n| 5Nl'(f7WYt7a;g 5d*{yXV/{n-@5heTd	[RgVyl b`~rtmN.s<k"Jǅ.;rtmMs|I(n;rs_mVUfV 5iZf35 j[w)7V~Lr\LDh۔[}+K6Jc`-5eI
	 .p+`P^P ' 5	 pХHRJǹYw^Ȁ4YMrdX ֿċp#Y1J'	rp&S 5ig@yzeYn'RZe& ]-v)|qkU7f &i :MJ28z Wrm˒@凒R(?֘N 5iW3JeJX	0g@.re+%%Q[aV؀ڠ{H+S%Hvk]] nMX 0,Rp 5gUzk]oou#¼nRn~eJWsVpڣߠB 5hQKc,,@b$F (qr^28D w0!+{mk@VR"ЍZ5Ft ڷrkk>ͽim`
ܩɼ(knա 5akMer,B2%JHR n1/z`	4nٺ<7Ŷ6P 5jQ/VW)-bMF6vX'E p%%	F~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%  5j3|y.5h X=j<I*& >Ę`eُO X̻RTt*1o
򀭗1-pː@  !"'()+,-./0123456789:;?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--xrrxR?Z/9cgg!@[^^<`cZ Xf&`  XT@XT 3Xa;Sg XS9g Xmau  P$PnͷP X>LQ X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X')W<\XJH   Xa`  X_[`  X4V$X_c`  X_OT`  X_N`  X4^T$ X__t`  X>>T`  X<t` X_b`  X_O`  X_m`  X_``  X4ft  X_X`  X4ft jX_e`  X7Vt( XT`  XU]t` X`T`  `  X`T`  X]`  X-S`  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<  XMQ| XZ@#U       Px  /      P  /       _rÀz   % wW    P2	 	 8      Ph  	 T    ! P*Ӊ 	     " P4	 	     # PB	 	  	8  $        @8MK
@   @ H[   .@ @   .@ A7   .@ F    @MU
   @Y@	  5vP
   .@'[      ?I    v?L`   @LD   v@LVl ! x@)a_D   @o_D   v@Lyl "  @8GP #  @8JP@   ?#    $ radius of mohr's circle stress 	   %   "   @GP@   ?
    % cap R    & P	 	 , 	   '   &   @GP@   ?
    ' cap C 	   (   #   @GP@   ?    ( = (equals) 	   )      @GP@   ?    ) + (plus) 	   *   ! .@'P@   ?    * - (minus) 	   +    @@   ?
    + theta    , P  /  	   -   ,   @GP@   ?    - subscript lc p 	'   .   , .@8Id     ?PP@   ?    . theta sub P 	   /      @GP@   ?    / subscript_lc_y 	   0      @GP@   ?    0 subscript_lc_x ?     concentrated_moment ?  K- Math commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e       inputString      R< 	         N N<         <            	         N 	R 
I      <  <           R<     ?	         I        	         IL    I >              	         N R< <      I   	                  	         N R<                 	         N R<  G G< 7     I   	                  	         N R<              	         N R<                 	         N R<  G G G G< ?     I * 	                  	         N R<              	         N R<       	       	         N R<  	               	         N R<  G G G G G G<             N NH    G     NG >O      num digits      =  	         J> _         H <        RK<       R< >  
        R<        R K<	     R I     G !    R< " !    N N< #   < " #H    $G ##P        R< >O   %   num sigDigs . J     =   > &      'R      (R	 k@U      R< 	         I   &         & 
        R< ) < )*     )      R +)< &	         I   ++ ,&GG +>O ?  d  nr theRandom length igap Math floor iflag j swapTemp theIndices theLength random theCopy theGiven $ ShellSort2  theRandom theIndices    N<           R< A A A         H g         I                           H     GN  NH    N     GNO   G O 	 N 	  	  GNO 	  G O     P            R % TraceArrays  theRandom theIndices J    N<         <       H   P . FillArrays  theRandom theIndices theLength y          < 
     H M             RO 	      GO P ) CopyArray  theGiven theCopy theLength U          < 
     H )     NO P  ?  H 
 theRandom Array tempIndex frameIndex j Math random ShellSort2 count i  MakeSequence   M        @<       @<       @         <    H M              RO       GO P     <    H V              R    GO       GO P     <    H V              R    GO       GO P        =         < 	        <    	H t          <    H C     	     GNO P P  		P y ?  ( UserValue userResponse StripAnyUnitStrings AbsValueFlag Math abs correctResponse bCorrect IsItCorrect formattedCorrect numDigits formatDecimals checkmark gotoAndStop correctCounter GiveTheCorrectAnswer Correct!!
Well done! The correct value is    unitString . outputString sFore sAft LengthOfString LocationOfSpace inputString indexOf substring LocationOfComma , length isNaN  response user parseFloat tolerance diff correct T EvaluateAnswer  correctResponse numDigits unitString AbsValueFlag correctCounter       =<    5         R J     R       =< 	
      R<  .         R P  6         R 	G G G G >$ StripAnyUnitStrings  inputString  A A A A             R<  I    #               R          <             R<  I    k   N              R      G     R  G  I > J     =   !>   J> IsItCorrect  user correct   "A #    $=     =   "#    $=    > %z?{G< &" ' '< % &     RH   >    > ?     ApplicationType           done_one_flag    done_two_flag    done_three_flag    done_four_flag    done_five_flag    done_six_flag    done_seven_flag   ?     done_one_flag    done_two_flag    done_three_flag    done_four_flag    done_five_flag    done_six_flag    done_seven_flag      1 r!L II k{eA	] >~S6|'~8	cÆ\@IRWshl# ]^Su-ylц]@L	B*;	>5 M-GE7]c'"eI[/r l Qغѧ<>+J) d+7M[x<]:yβP-*=uii=3рX.L,=$JV3!#ҠR;뤫5;Y~79J{iü2dJ{ iS\(.Xl׽Vrgn.vd6[i6	S.wd,H)q7Q*RR@))WDaH+&dPO^ud'KkBZΒp97Du-0K 	(HEe!%ĉ`3dJ jiS)9=':П@ X)
 G`` y@'	 8~ 1  	*   2 g2p0 M        percentLoaded 
 2 Y`@ ?   ?  percentLoaded this getBytesLoaded getBytesTotal Math floor %            R          R d        R    G          R          RH          3 PBL 	     4 XN!̀ 
     5 XM!  
     6 XN  
     7 P>L 	     8 X!Oa  
     9 XN 
  	x  : b  3  &@4 i @ @   &@4 pi @ @   &@4Ti @D@   &@4TMi @d@   &@4T}@i @@   &@4T@i @@   &@4T i @@   &@4Ui @@   &@4U<i @@   &@4Uli @, 4  &@4i @ @   &@4U@i @L  &@4pi @ @   &@4U i @p  &@4i @D@   &@4M i @  &@4Mi @d@   &@4i @  &@4}@i @@   &@4ni @ԓ  &@4@i @ 5  &@4i @ @   &@4.i @  &@4 i @ȓ  &@4 i @$@   &@4i @  &@4i @  &@4$" i @D@   &@4i @8  &@4<i @  &@4$T i @h@   &@41i @X  &@4li @,  &@4$ i @@   &@44i @|  &@4@i @L  &@4$ i @@   &@47i @  &@4 i @p  &@4$ i @@   &@4
ji @  &@4 i @  &@4% i @ 6  &@4>i @ @   &@4@i @  &@4i @  &@4%N i @  &@4>i @$@    @4R  &@4	ni @ԓ  &@4% i @<  &@4|&i @H@   &@4
.i @  &@4% i @\  &@4|[@i @l@   &@4
i @  &@4 i @  &@4|i @@   &@4i @8  &@48Xi @  &@4| i @@   &@4i @X  &@49 i @ē  &@4|@i @@   &@4i @|  &@49i @  &@4},i @ @   &@4i @  &@4:i @  &@4}a i @$ 7  &@4i @ @   &@4,*i @  &@4;xi @0  &@4}i @H  &@4 i @$@   &@4XZ@i @  &@48q i @P  &@4}i @l  &@4D" i @D@    @4X
   &@48t i @t  &@4u@i @  &@4DT i @h@   &@48w@i @  &@4,i @  &@4D i @ 8  &@4i @ @   &@4pi @  &@4,i @ܓ  &@4D i @  &@4i @ @   &@4p i @ܒ  &@4,mi @   &@4< i @Г  &@4#i @@@    @4p  &@4,?i @$  &@4= i @  &@4#Gi @`@   &@4Y@i @H  &@4=N i @  &@4#u@i @@   &@4Yӈi @l  &@4= i @<  &@4#@i @@   &@4Yi @  &@4= i @\  &@4# i @@   &@4Yi @  &@4= i @  &@4#i @@   &@4YXi @ܒ  &@4>xXi @  &@4#,i @  9  &@4Bi @ @    @4Y  &@4>y i @ē  &@4#Zi @   &@4B i @$@   &@4>yi @  &@4#@i @@  &@4," i @D@   &@4>zi @  &@4#@i @`  &@4,T i @h@   &@4>{xi @0  &@4# i @  &@4, i @@   &@4| i @P  &@4GGi @  &@4, i @@   &@4| i @t  &@4Gi @  &@4,| i @@   &@4|@i @  &@4G	i @  &@4,} i @@   &@4|`i @  &@4G
mi @   &@4,}N i @@   &@4|݀i @ܒ  &@4G%i @   &@4,} i @<@    @4|  &@4Fi @@  &@4,} i @\@   &@4Fi @`  &@4,} i @@   &@4FKi @  &@4XXi @@   &@4Fi @  &@4X i @@   &@4Fi @  &@4Xi @@   &@4Fqi @  &@4Xi @@    @4F(  &@4Xxi @0@   &@4X@i @P@   &@4Xi @t@   &@4Xi @@   &@4Xi @@   &@4X`i @@    @4X(@ 	 i @	 i @̉	 i @Љ	 i @؉	 i @܉	 i @	 i @@ 	 i @	 i @	 i @	 i @	 i @	 i @	 i @@ 	 i @@	 i @`	 i @t	 i @	 i @	 i @	 i @@ 	 i @ 	 i @(	 i @D	 i @\	 i @l	 i @|	 i @@ 	 i @	 i @	 i @	 i @4	 i @H	 i @\	 i @h@ 	 i @	 i @	 i @	 i @	 i @$	 i @8	 i @L@ 	 i @@	 i @	 i @	 i @	 i @ 	 i @	 i @,@ 	 i @ 	 i @P	 i @	 i @	 i @܉	 i @	 i @@ 	 i @	 i @	 i @\	 i @	 i @	 i @؉	 i @@ 	 i @	 i @	 i @0	 i @h	 i @	 i @	 i @@ 	 i @@	 i @	 i @ 	 i @<	 i @l	 i @	 i @@ 	 i @ 	 i @x	 i @Љ	 i @	 i @H	 i @t	 i @@ 	 i @ 	 i @D	 i @	 i @	 i @$	 i @T	 i @x@ 	 i @ 	 i @	 i @t	 i @ĉ	 i @ 	 i @0	 i @\@ 	 i @ @	 i @ ؉	 i @D	 i @	 i @܉	 i @	 i @<@ 	 i @  	 i @ 	 i @	 i @p	 i @	 i @	 i @ @  	 i @ l	 i @ 	 i @H	 i @	 i @Љ	 i @ @ 	 i @ 4	 i @ 	 i @ 	 i @l	 i @	 i @@ 	 i @  	 i @ 	 i @ 	 i @H	 i @	 i @@  	 i @ \	 i @ ̉	 i @$	 i @l	 i @@ 	 i @ 0	 i @ 	 i @ 	 i @L	 i @@ 	 i @  	 i @ |	 i @ ܉	 i @(	 i @h@  	 i @ P	 i @ 	 i @	 i @L@ 	 i @ (	 i @ 	 i @ 	 i @,@ 	 i @  	 i @ l	 i @ ȉ	 i @@  	 i @ H	 i @ 	 i @ @ 	 i @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @    : )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @  
 ?S    theta principal_axes _rotation correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal correctTheta bCorrect IsRotationCorrect AttemptsTheta response user parseFloat isNaN tolerance diff correct Math abs  CheckTheRotatedElement       N<       =<      	      
=< 	 
    %      H 
        ># IsRotationCorrect  user correct   A     =    =       =    > z?{G<   <       RH   >    > ?    UserValue userTwoTheta StripAnyUnitStrings Math abs correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal formattedCorrect formatDecimals bCorrect IsItCorrect AttemptsTwoTheta  EvaluateTwoThetaAnswer          =<        R  K       	=<      R	 
        R<       =<  
    %      H 
        > ?    UserValue userI2 StripAnyUnitStrings correctI2 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsI2  EvaluateI2Answer          =<  K      =       = 	<	 
        R<       =<  
    %      H 
        > ?    UserValue userI1 StripAnyUnitStrings correctI1 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsI1  EvaluateI1Answer          =<  K      =       =G 	<	 
        R<       =<  
    %      H 
        > ?    UserValue userRadius StripAnyUnitStrings correctRadius tauXY sigmaY sigmaX RadiusOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsRadius  EvaluateRadiusAnswer          =<  K       = <	 	       
 R<       =<  
    %      H 
        > ?    UserValue userCenter StripAnyUnitStrings correctCenter sigmaY sigmaX CenterOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsCenter  EvaluateCenterAnswer          =<  K      = <	        	 
R<       =<  
    %      H 
      ~  > ?  ,' CoachFlag ClearTheCircle mmc xdot _visible _x x _y y xlabel PositionLabel ydot ylabel AttemptsToPlot clearTheCircle ShowCorrectBasicCircle b1 b2 xPix sigmaX xPixels yPix tauXY yPixels dx dy ds Math sqrt xCorrect xWrong sigmaY yCorrect yWrong CoachPlotting sigma tau sigmaLowerLimit sigmaUpperLimit  CoachPlotting  x y $  	         I           = >       I l   N O  N O  N O    	N    
= w  k      I l   N O  N O  N O    N    
= x         I .  L    
  {    y         I 9      H           = v    z  Y       I           = |  *       I           = |  > CheckThePlottedPoints    A A     =<             =<   N N<   N N<    G<      R     H c   N O  N  N NO  N  N NO  ^   N O  N  N NO  N  N NO       =<     =<   N N<   N N<    G<      R     H c    N O   N  N NO   N  N NO  ^   !N O  !N  N NO  !N  N NO        "= >! EvaluateMouseClick  xPix yPix        IL        I   > #    < $    < # %HL   & #H   > $ HL      $H   >      "= > ?`%   mmc acute _visible _x circle _y arc _xscale _yscale scaleX xdot scaleY _width _height Math abs factor ClearTheCircle ShowTheCircle xPix yPix sigmaX xPixels tauXY yPixels xlabel PositionLabel sigmaY ydot ylabel center CenterOfCircle cPix dx dy ToCenterPixels pow t targetX targetY symbol scaled unscaled xCorrect xWrong yCorrect yWrong theC theR max1 min2 twoThetaP centerDot posArc negArc one text FactorOf10 two RevealTheCircle theCircle radius RadiusOfCircle twoThetaDeg TwoThetaPrincipal twoThetaRad _rotation theCenter theRadius beta PositionInTheCircle xPos theInstance radialPix angleRad cos sin previousSigmaX previousSigmaY previousTauXY ApplicationType sigmaLowerLimit sigmaUpperLimit sigmaLower sigmaUpper RandomValue Acceptable IsTheCircleAcceptable MakeStressStrings ShowGivenValues AttemptsToPlot elem gotoAndPlay theZ sigmaXtension sigmaXcompression sigmaYtension sigmaYcompression tauXYpositive tauXYnegative normalX normalY deltaXY normalx normaly shearXY sqrt twoThetaPrincipalRadians shearxy atan2 twothetaPrincipalDegrees sigma1 sigma2 tempAngle PrincipalOne PrincipalTwo b1 NormalWithinBounds b2 sigma bool sSigmaX FormatStress sSigmaY sTauXY given sValue value formatDecimals +  lenString string length theLongest maxLen positive charAt      substr dTemp thetaRad thetaDeg cos2Theta sin2Theta sigmaN sin2theta tauNT cos2theta sigmaT thetaPrincipalRadians thetaMaxShearRadians mohr thetaPrincipal thetaMaxShear SelectedStressElement circle_mc nt_diameter construction_details details theta thetaNT sGreek <FONT FACE="Symbol" SIZE="+2"> arguments </FONT> sSub <FONT SIZE="-2">  NoSteps theValue StepSize round range ValueMax ValueMin RN random  ShowAcuteAngle      N O   N   N NO   N   N NO   N N d   O   N N d   O 	  
N N   N N     d   <   
N N   N N     d   <   N 	O   N O   N N   N NH Y    N N   N N   N N     R d   O T    N N   N N   N N     R d   O   N N N   N N NH r 	      N N N<   N N    O   N N   N N N O ShowCorrectBasicCircle   J         =         = A A   
N O     =             =   
N O   
N O     N    =     =     =   N O   N O   N O     N    =# PositionLabel  symbol xPix yPix        =<      =< !  < "< #! ! " "G< #  ?    #     $R %#    G #< &  % !G< '% "< ( O ( &O ( 'O > xPixels  unscaled "     < )* < )> yPixels  unscaled "  < )* < )> ClearTheCircle      N  O   
N  O   N  O   +N  O   ,N  O   N  O   N  O   -N  O   .N  O   /N  O   0N  O   1N  O   2N  O   3N  O   4N  O   N 5N  O   N 6N  O   7N 89    O   :N 89 
   O   N  O > ShowTheCircle      N O ;     N <N O     N <N  O      =<   N     O   N         O =      >=<   N = d   O   N = d   O ?      @=< A?	 !	@-DT    <   N B        ?O   4N O   4N   N NO   4N   N NO   C 9O   D= 9O EFߑ?9R  N BN    < EE	 !	@-DTG E      /N    F=         A	 !	@-DTG =    =	 33?3333   0N    F= > ShowTheArc     EA   N BN	         H 9    N 5N  O   N 6N O             N BNH 9    N 5N O   N 6N  O 4    N 5N  O   N 6N  O   N 5N B          N BNO   N 6N B          N BNO   3N O   ?          N BNO EFߑ?9R  N BN     =      >=< E =    =	   ?        G   3N    F= > ShowMaxPrincipal       1N O      =< =      >=< G =G    =<   1N GO   1N         O > ShowMinPrincipal       2N O      =< =      >=< G =    =<   2N GO   2N         O >7 PositionInTheCircle  theInstance radialPix angleRad   H O H   N N I J     KRGO H   N N I J     LRGO ># GenerateRandomStressParameters    M< N< O< P	         I   Q R    +  P    I   Q    R    9
    SQ    < TR    G<   ?    T S    U=  MI    ?    T S    U=  IL    NI    ?    
      U=  OIL            OH  V      W=< V  9    X=         Y=      =< =      >=< Z         > RefreshStressElement   ^  [  9O [  9O [  9O       [ \R > RefreshZshape            H -  ] ^N O ] _N  O n  	         H -  ] ^N  O ] _N O (  ] ^N  O ] _N  O         H -  ] `N O ] aN  O n  	         H -  ] `N  O ] aN O (  ] `N  O ] aN  O         H -  ] bN O ] cN  O n  	         H -  ] bN  O ] cN O (  ] bN  O ] cN  O ># CenterOfCircle  normalX normalY    d eG    < >+ RadiusOfCircle  normalX normalY shearXY O  fg h    < =f f i iG     jR< =>. TwoThetaPrincipal  normalX normalY shearXY i  fg h    < kf         l     mR< nk    	 !	@-DT< n> PrincipalOne  center radius   o =G< o> PrincipalTwo  center radius   p =< p>2 IsTheCircleAcceptable  normalX normalY shearXY  e d    =< =i e d    >=<   @    =H    > i     R    HL   =    H    > C  i     R    HL   =    H    > ?i e d    @=< ??     R	 qZ   ?     R< q    H    > o=     r=< p=     s=< to    u=< vp    u=< tL   v   >    > NormalWithinBounds  sigma F  w QHL   R wH   x<   x < x>! MakeStressStrings  FactorOf10 V  y 9    z= { 9    z= | 9    z= > ShowGivenValues   2  } yyO } {{O } ||O > FormatStress  value n 	 ~        R     R< 	         H   ~~G   ~~G ~> PadString  string maxLen    N<  <  I     <             R I     H >  G    G  P  L       H          R >& PassValuesToMohrMC  mohr errorcode  A g< h< l< fg h    < g hG    < =f f l lG     jR< 	 !	@-DT    <	         KR<	         LR< o =G< p =<  f G l G<         f  l G< o pG <   ?    f l     mR<   ?    l         f     mR<  gO  hO  lO  ==O  O  O      	 !	@-DTO      	 !	@-DTO     O  N N  O  O  O          O  O  O  O > MakeHTMLgreek   p  	         NG G<  N    I        NG G<   <  G>" RoundToStep  theValue StepSize 8        R<   >+ RandomValue  ValueMin ValueMax StepSize w   <          R<   G<       R<   > ?    
   title      ; o 6 @@ _}8 0  ; ݀ @ E0?`   < uYޚ    x Øh5Rj 6@ VTO	3@T]V_e& Ԛ\ K R	PI  < QFTu& i @ ?/   = lIPkvD, ( Øh%9 n  ( Øh%  = 35FhsExi @   > z |   ;o;XG:I]"d+f4A			F



xwF$d 5cBjU~wmEބN\5>)Z7+;3  5iJx/iI-uKq\szM#a.KpsR _~In`b0 4]fWnQ~ꥐBDXתuS&IH!%耰 5cVv=띖Ts@mh 6f7-  5bjuj]0BKnT " R.o `r)  5bd
@Իmt  I  py\vmȸa"7W-
 5.OmC޹٥G0@ffcqM 5Kտwk\
^ 5-r1h 5kJd
@dГ@_&FDPX~EC	
xm Xo ߮ p4.  ̂ L ~5 5 67 5eΎW&kkn1sЛym 5l0)@3к} 
@{U"KSrPm'1N|*,R5xta%AZqg\ H 5ly.2DHXY6-`fk
Ha"؁GVU@r^kn5i*#$WBEOt^G[	:" 2 lc[.%ʈQ`Ti[>D p]G YeMQ'e`INUO[\ԗ%089AT F&r N8G}%H :*{p*<H G ՄaLR  5.r1hGYٗS촀5iYSmY'X{V(3(;ծ	O~M?`, 5k:d	\xY $?'	\ uh&WLY
=t cÀ@/Ҳ]ki#k.9/fA ܴs=5kx#))$ItQΔԶKqDӲ?Dc5(67 ߭p9 ĭ͗[f 5kd
@8YnEC	
xm Zأ- ̂ L ~5(%]܊ 5l>.6˷"'S]Dusp5k.˷"S^rG9~ 5lzW&kR-Sp7ɸ 5cnW&gn)5lwTn)Q"0 5lJ<r֍w_S7)un<^7rG7LiB%x 5kRܫrcy%N^T9Y壛-*e(rݰ 5kd
 d@_&FD\F ?	
xm Xn ߮ p8.  ̂ L ~5 y5 67 5ljfAA ]HrkP	WuZ壜FeVnaH火pD/i 5k6d
@7W!xl8^
w"onE7$[MkO@eP@6Rf [ABp 5c# dQc PzdB$YK Pu,z 8 ="E9 $ 7uR6PS[87%*:I 5kz/T}Z\ka5cbyP$.2 p2,8HS7ܨ`i@8&@/濿 忛` 5kx,aa^$\ϸk	q՞=G<Hja塦!]3n-5j*w<juչZ݅- zQTBW  5ifEB oRs?mfjs,Ҙ9Dq#`2t:H*4 # q#`7(nK%i&X  5ifAA \@ ~5 Ji}	o7SxTIZOTUnp VEG	
7oV~T E%T-#  5d9 !o$ ܑIH!%耶@E	Ap7Ҭ b׷pnY ܎MH5&`
Do  5jeyYz]5jj@)7o R ̃~2bӽMH̕  7o-4IM\0BLm0  5ifAA \p4QFD\G4MH5&`
Do7.  2Std
oL/2^ 5e~<,gaԏ%cU8^po
&	[Vv0 ea 5k^SG;/t<ˠi RK3gڀlMH5 .̔7 ߮ n"\1iUfqL
Lmi YdAUHL G)@(jܔˢ\  5ifAA \W+<5U}a@nR&  LR+\z JS"R֐ˀ(  5c^Qk)Xשە6@ 5-Vp[l'vk(<;0fiXߩە6@ 5j~Otr_rׂK5yZ;ܞTo,.'^ 5cbeyYgS@5l>[ <As_ܭp2UɆM5 g
Zd(bkP +rp+T+@	ʜч2,; 5ifAA \W+<5U}a@nRf  LR+\qM)*2ʟ2.  5j/fAA \@ ~5 j@)7o R ̃~ޙp":vEC	
7oVɆ#0BLm0   5jGfAB [@ ~5 Z,h~8P-	S:򬲩̤.eT[$G (ݿW&PJ 	0DP2 H  5k:WgVTr5()PoA[ E <SHޑpD0Ua nH@[u     5fTTL !VneVan:؇ 5He]  S$%/
VyWnPܠ/  ,R㼲o)*Yh PH  5a&n܍jbeV`IG#\&UAiRdF eIOՀ.{5{UG  5jQ9_r9mr5 5⟅_FC`|  J)5k${6ۈ'f<;P 5iF	>BOxUw|B=܍	1%c=J󈬓$
0[; 5k&wʝ3٦rtDm}J؇k?\{ZHxn05ld{>y MUcEl Iuy3n$bcJq#,Ű 5IQuGk}D4ݬ#?໛pnzS[8 5N<ј_l3	@0 
c5p	Of>> V L   > Sui Generis !&'(),-.01258:ABCDEFHILMNOPRSTUWYabcdefghijklmnopqrstuvwxyz<   ? oY   > hP fR$)؃ ԝRHX$WJ ?D   @ \     3 o h kU*JkmZ-[X  %ա+` JҪ i   A   <  !iޘ  =    @  ?   "@-    M ?   "@(l@  zj@ ?   "@-h    ?   "@(l    *" ?   "@(l    M@  }}j@         A ŀ  4/P I   B oԕ  > hP] jLHY`ԝRH@ *	DDUވ    C   <  !iޘ  =    @  B   "@9    M B   "@@  zj@ B   "@9h    B   "@    *" B   "@    M@  }}j@      t   C f9 C   D oLP C > hP /5"H](0 ԝRH@ *	$Đf$     E   <  ޙޘ\  =   D   @̬K9    M D   @̩@  z˕ D   @̬K9h    D   @̩    *" D   @̩    M@  }}         E ųH٨=  _   F vl9Z   > MMEV(zV må`fc:(  .E=1({GÜ P]fzdE  F   @t  F   @sp    & @      ?    
   background d   G x9@Ԁ 
> M`%Aj!$̥&&  ԝ& a&%̥9 g̥j! & ԝ̥!  G  @>d< < l    H _t  < M$yyO	`   I  ?     H   @  H o, kZ8@ H  Z8J  H #]@ @ ?    @      6 I Ņ=!p  tauXYpositive  !   J o   < %0  	 J l   K Xse- 
 [XȀ 
 K 2j@   L X	rej  
 [XÀ  L i؀   M ]C      hqz/#:      hrzP:o#  3ff hrzP:o# 	>  333ˮ] fff  hr=҇qy|nH=+  M Ņ=!p     N _t_  < ((~%n y#     O Ulo < %VsmNp 	`   P   N d   O j@      (
  N     O        (
 @      6 P l sigmaXtension    0=D    Ņ9=IЏ   J0=$  Ņ9=)pЏ  N0=1p  Ņ=5  ŅK=8  	v   Q   N       S$   O       S$   N  j@      S$   O  d      S$  @   $   6 Q z  sigmaYcompression  #   R noS  < %LIT﫛n ! R l   S `#(I 
 [Xȃ1 " S     T `I 
 [XÃ1 # T #b&$  #HOM/
  U @BX 
> Øh 6tп ^n͈n ^sʴJ ^ʼΔ ^п͘ʈs ^пnsппп ^s ^ ^Hn ^  #=sп՘ʐn ^n ^n ^snΠμΈʴJ ^sʨHΈn ^Øп ^ ^ʼΔ ^ K ^ ^tnsппп ^  P@Hn ^sп՘ʐn ^n ^snΠμΈʴJ ^Øп ^F ^ʼΔ ^F ^sHʼnʔ ^n ^ʼ ^ʼΠʹJ ^ ^  }<sʴJnHܸ ^n ^n͘ ^ ^èHп ^ ^Ƙ ^ʘnsHΘʔ ^csι ^n͘ ^ǈnHμп8L % U  @ *p `   V D|0  9 f䤽)؜p.K} +J@dJDOH~~W=y9ϵ*<[/lNh & V (0    & '  @' (  w@@)  4/(   W Pmx  /   * W w@ M!@+ W w@ M'@, #  @8M, -   @8Mx .    ?= /   v?MH30   @>c 1   v@MC 2 ! x@)HӇ 3   @OӇ 4   v@MU 5    @'[s 6 
 .@'j 7    ?p 8   @MA 9    @C:    ?E;    @'H( < 
 .@'P =    ?S> ! .@'5 ? W w@') @   @'  A  w@8M% B #  @8M,     X Xtxy   %!gG C X l D    ?MA E   @7RF    @M<G   @MAjH   @II    @MN⯀J ! @NU K    ?^ L   v?MiM   @`" N   v@Meb O ! x@)j P   @q Q   v@MvҰ R    @'}2 S 
 .@'GPT    ?J U    @NMV   @MRW    @TPX    ?U@Y    @'XZ 
 .@'`P[    ?c \   @'A']  w@8M% ^ W w@')z _ #  @8LY'` X a    ?MA8 b   @nc    @Ly':d   @MAiĀe   @IĀf    @MN΀g   @8MU h    ?^ i   v?Mi8j   @`! k   v@Mea l ! x@)j m   @q n   v@Mv o    @'}1 p 
 .@'GPq    ?J ~@r ! .@'Ms   @MQ|t    @Su    ?Ul v    @'Ww 
 .@'_x    ?bx~@@ @ @ @ @ @ @ @ @ ?    ?i   Y e}" ( Øh%kIp h-i' 
& ٶh` kfh 
 &I ( Øh%F > ( Øh%!tL 1   Z g% 	> ØhE,t #KrfM[  s   [  j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@        y [  @ y ?    @ @ @ @   \ x uBX  
> Øh *xӤ͘s ^èHпnп ^μΘ ^пn ^Μc ^Øп ^[s ^ͨH ^n͘ʃ  #(sʴJ ^пnsппп ^s ^èHǹ ^ʼΔ ^HΨHǹ K  P=xӤ͘п ^Øп ^s ^ʴJJʔ ^n͘ ^sHΐHՈʴJ ^Øп K ^ ^xӤ͘ ^ܸʴJǘп ^Μc ^n͘ ^  }9èHǹ ^ʼΔ ^HΨHǹ ^sʴJ ^пnsппп ^ʼ ^Ƙ ^ιnʔ ^csι8L y \  @ Qz   *@'	u   ] P0x 	 /  { ]  @8NՂ@| #  @8NI}   @'I   ^ P x 	 /  ~ ^  @8N@   _ P(
h    _  @N	 X  @ a}@   ?N!-@   *@	q`   @Ns   @N!q`   *@%1q`   @N's   @',	   @ /U}@  @8NLЏ   @ /l    ?@ 7!m`   ?@ Gm`   ?@ Iq   @MQ   @SقP   ?U@   ?@'T}@   ?9a}@   ?N>`   @:	q   @N<t  ! @)?Aq   @Bq   @NEat @ @ @ @ @ ?     [ # @  ?    @ @ @ @    ` w銀*  	> Øh q3*TLM7\L pMԳfe ^z&UY@p^fV   #K6fPZ$^Α{Q#LI@erÙLs2/   P΢D̫ڛeJ +SpW/DʽC6T̠3j$n{8ln'   ` @ Qп    a ag@p  %kduy(  a  ?N_ #  @&e   @NU  , @&c	 
 p@&]    ?N`   ?l   @;p   ?r!P   ?t	@   @jʀ   @m  ! @)p5ʀ   @sʀ   @vU @ @ @ @ @ ?    w   b  j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@        .   b - @   	 
            ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d f g h i j k l m n o p q r s t u v w x y z { | } ~                                            ?(    FactorOf10 
     sigmaX      sigmaY   tauXY      RevealTheCircle !          ShowCorrectBasicCircle =          ShowMaxPrincipal =          ShowMinPrincipal =  RevealCoords    RevealC    RevealR    RevealTwoTheta            ShowTheArc = 
   introduce the circle ?T  c wie0k   Øh%d|gQ>-CYx-Ũ<Qj<G x5 #<H2d|R 	`j@^H|2   Øh%d|AQ   Øh Øh%Șel \!+ok %mԀ-WZ`R j@V-HѐJũ Z	[x Ũ[	[x v+onp%my-󄭯   Øh%Еũ Z	[x @ < Øh% ũ  < Øh% 	   d   c  @   ?     concentrated_moment ?     concentrated_moment  =   e mBUN	     \ڳ'2 *0 ̳66̋%W<I j   f e'&( M   mI
 AAPQTU9ؖ*?Vbc 	g}?u]fY Yin  < Øh%z Ā	   g   f  @ @ ?    @    =   h mB     ?f¡˙+P	#QFnf $` eTdw/  ?m   i e%  M oĕ   ef.ڎ~eYW!z*+* h`V?,T0OT>  < Øh%z Ā	   j   i  @ @ ?    @   ?x   k Tl     H˜u ) )gYgZz V Vθ0u0 u|  
 M%H˜u ) )gYgZz V Vθ0u0 u 	   l   k  @       m T`( 
 M%Sc  0   n <G^ M dI .JKҜ	'뤾(	ѺDd	   o   n   ?x@   	   p   n  @   	   q  F e 32f`     & g Oڟ posArc F h 32f` 
    & j Oڟ negArc    & l  theCircle  m   o   <  p     @    b   r UިX Sr HTkVzZMsNӂ]7mU@)j`$TQ6HLCy5W]l!  	   s   r  @ @ ?    @   ?C   t UP gg B"o47;W7[=dnWzQ޲+Lni]` 	   u   t  @ @ ?    @   ?)   v Wl 333
    5L{"|!  $   w W~  Kx@#r?A   x UZIp  5-ig2+T,B MQQ5E@$,T>L  	   y   x  @   	2   z  ?     v  F w   
   & y  arc @      { P	 	  ?	  |  Tahoma < > \ |   6Vgv<7arU9V, 5HBnNoPVD?؄,\]c5c{xI>Qk=I>Q5c~{xI>Q5f尒mn#ԙR  VEI|S0+	3]Iҥ/<)q :`lLDG*TRL[ 5ef8C9J`4izN]mJjv,BwS	]UL]q7m,a[-6.fqo=TM< 5K7oq	@7P<r 5Hy㨯F*qn 5L7n
f, 5/uOݞn,@5g{yYpID 5iZfH ^&oo0fl	2y啞n& tB`<Qoc~	@eje)CXSG \@\s)w@Jy.K,  5aa~J^1HmEM)~N0 5i:f B@#mJLxg%ه1VьՔ@3Yp\PR̖za?Pw2!X 5i& 	m;%#%0{<\l[.ŶPK`3eـoeR4ܜɮl$G2V15/Lu#nex:j鮿rkG]Bv1?>]%`-iS&Ri . 5J݁o?/SݺPekɺ؜WRj< 5i&x,Mi?Ak\E#/*e0\ ([KI(B@?)brvDK[u!7Md\{}pn0 5ff .DZTr7%6ʌY<] 	s :&O&__f7mۓj^MxC0¶%p̓$[ <m*:IADtևΗiPU5%W޺? 5izy40Sm';tD{@ 5fk>sZ3e z@A9G@>CLlȤ!4+KWPp
'q\Cf3"J2ShJ#6HXb=%`90#Cų_siK	J䤮$*,8Li>VcH$Ts\:!?*kED?m-K!84-/tkI6y-O@5ifC _>n#nG oovc8vڎT]΢7#|4l6[fm-Kg3tZ1I򔜒.51b BR$4EB`Xw|L+ə/s Hp]jIH8h(Zc 5HybnSgT{u 5Iy㨯F*qn
:Or<X 5k[y,3nAZϜkvșP  5hz ˒yxv\mzD\*oʋ9j3JK0LuH-`IK@RYݵm]ބmpFBhIH ,;rw|b5ij-з]z.]oc7qE^xN$*1 J_5ɠ]|!z;= Rg SyyYe@j.@mʀ5fu_H;FP$o,Bl [$ֹhJuN
&mߐq>ؽDw(ܴc,*̀5j;|y+Hn@5gVf U:j\iq* ;ƘTe`AXRRlܦͧ*o $rX-NK   !"'()+,-./0123456789:;=?CR  ,_F@@OttFD XL"t`  X@6X<X753g X(3Sg Xa\ WPnWI!<  X;>sQ X'L$ XbIX  XLM$  X4K  XN` X<K` X1MT( X;K`  X MX"Kt$Xb"w<  X&7<\XpZ X8C$  X"Qt$XM_`  _Q| X?:#M  	D   } h} 1|  Ƈ        coordsAbove (123.4,-567.8)             	D   ~ h} 1|  Ƈ        coordsBelow (123.4,-567.8)             	    ?7  V  _parent RevealCoords FactorOf10 sCoords ( sigmaX , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N  G G    N N	         H   	 
   
 	   	 
  {   } L<։ ~ L @ ?7  V  _parent RevealCoords FactorOf10 sCoords ( sigmaX , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N  G G    N N	         H   	 
   
 	   	 
 @       PՉ
 	  	D    h} 1|  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1|  Ƈ        coordsBelow (123.4,-567.8)             	    ?+  V  _parent RevealCoords FactorOf10 sCoords ( sigmaY , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N G G            N NH   	 
   
 	   	 
      L<։  L @ ?+  V  _parent RevealCoords FactorOf10 sCoords ( sigmaY , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N G G            N NH   	 
   
 	   	 
 @   	&    `
P1|  Øh        text 1000 	       P{x@   	&    `
P1|  Øh        text 1000 	       P{x@   	D    h} 1|  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1|  Ƈ        coordsBelow (123.4,-567.8)             	4    ?   \  _parent RevealR sCoords R= theRadius Math formatDecimals this _y coordsAbove coordsBelow      N N s       N     RG  N	         H   	 
   
 	   	 
  "  @8IU@  L<։  L @ ?   \  _parent RevealR sCoords R= theRadius Math formatDecimals this _y coordsAbove coordsBelow      N N s       N     RG  N	         H   	 
   
 	   	 
 @   	D    h} 1|  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1|  Ƈ        coordsBelow (123.4,-567.8)             	    ?   K  _parent RevealC sCoords ( theCenter ,0) this _y coordsAbove coordsBelow      N N c    NG G  N	         H    	
   	 
   
 	
  &  @8IU@  L<։  L @ ?   K  _parent RevealC sCoords ( theCenter ,0) this _y coordsAbove coordsBelow      N N c    NG G  N	         H    	
   	 
   
 	
 @    ;    PxO @@  @$0 H$@4 Æ4M4L 408P 	K          o *J          @'
 ^  @8J`@   	H         o *J          @'
Ў ]  @8J?P@   	D    h} 1|  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1|  Ƈ        coordsBelow (123.4,-567.8)             	    ?  h  _parent RevealTwoTheta sCoords twoThetaDeg Math abs formatDecimals  this _y coordsAbove coordsBelow      N N  	      N     R     R G  	N	         H   
     
   
   ,  C@8I+X@ 
 @8IN@  ,'y%  L<  L!^@ ?  h  _parent RevealTwoTheta sCoords twoThetaDeg Math abs formatDecimals  this _y coordsAbove coordsBelow      N N  	      N     R     R G  	N	         H   
     
   
  @   	    ?  >  xlabel _currentframe gotoAndStop ylabel theC theR twoThetaP  RefreshLabels      N    I           R           R  N    I          R          R  N    I          R          R  N    I          R          R  N    I          R          R ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & d  grid_stress  ;   	  AEP 4    & 
    @     &     ?Ա    &    	      &  ;    AEP 2@    &     @    &     ?    &     `    &    & q  circle    &$ s m xCorrect    && u ԀxWrong    &( s  yCorrect    &* u yWrong    &, z acute    &2 o xdot    &4 p jydot K   6  BXxlabel     /     coordsAbove  coordsBelow       K   :  ylabel     /     coordsAbove  coordsBelow       >   ADP O     &    &?  } one    &A   two    &C  z one    &E  z one J   G  ݀theR     /     coordsAbove  coordsBelow       J   K  theC     /     coordsAbove  coordsBelow          &O  min2    &U  @ max1 O   [  qtwoThetaP     /     coordsAbove  coordsBelow          &a o  centerDot @      6  ŏjǮ8$΀. mmc d   x t B 
> Øh 9xӤ͘ ^sʐʔʨHΠ ^ǈnHμп ^ ^Ƙ ^ssпʼnʔ ^sդͨHʴJJ ^  #A ^ʨHʠsʹ ^ʴJJʔ ^aΤs(п ^HsJ K ^ ^XJпnʈʔ ^Μc ^ ^пՈnHʴJ ^sʨHΈn ^  P<ппnʹ ^Lпǐ ^п ^ ^ʼΔ ^SQ ^aΤs(п ^HsJ ^Hп ^μпnsǐnʔ ^Hn ^  }<sʴJ ^пnsппп ^մJnnʔ ^ʴJμΠ ^n͘ ^sHμjʴJ ^èHп ^ʼΔ ^п͘ʈs ^  'пnsпп ^մJnnʔ ^ʴJμΠ ^n͘ ^ܸsnHʴJ ^èHп K e   @ *p@ @ @ @ @ @ @ @ @ ?    f [ 7 @ f ?    @ @ @ @    p *$ 
> Øh  lΨHnп ^μ ^n͘ ^HsJ ^ssпʼn (#ιƨHΈnHμп ^Μc ^sʴJ ^ʼΔ (YPп͘ʈs ^пnsпп ^n͈n ^èHпn ^n (Y}ܸsHп ^sHʼjnHμп K f   @\8 @ @ @ @ @ ?    g [ A @ g ?    @ @ @ @ y    h)xQ 
> Øh  xӤ͘ ^ʼns ^E ^Μc ^aΤs(п (2#HsJ ^Hп ^Jΐnʔ ^n8L g  ]9~ h &  @OHEďi #  @OJEĊj X  Hk    ?OOIdl   @MTB,m    @ONB̏n   @OOB,o   @QB,p    @OS8B@ @ @ @ @ ?    q [ K @ q ?    @ @ @ @ u    hQ+ 
> Øh  xӤ͘ ^sʔʨHп ^p ^Μc ^aΤs(п (@#HsJ ^Hп ^ͨHܸʼ ^8L q  ]9e r  `s   @8ONv`t   @ @[$u   .@ C[tv   .@ K[tw   .@ M \|x   @MP`y  @Q`z  =K{   .@'Rt_l|    ?D_l}   v?OGc~   @E\|   v@OF^] ! x@)G\|   @Ij\|   v@OJ] "  @8Nw0 #  @8N|	0@ @ @ @ @ ?     [ U @ e f g h i j k l m n o p q r s t u v w x y z { | } ~        ?    @ @ @ @     BX  
> Øh 9xӤ͘ ^͘ιns ^Μc ^n͘ ^HsJ ^ʼ ^Ƙ ^пʔ ^n ^[ʐHJHjn ^n͘ ^  #?ʴJǴJnHμ ^Μc ^ܸsHп ^s՘snHп K ^ ^Ps ^ÈʹմJQ ^n͘ ^ܸʴJǘп ^Μc ^  P:n͘ ^èHǹ ^ʼΔ ^HΨHǹ ^sʴJ ^пnsппп ^ʼ ^Ƙ ^[ǼΔ ^csι ^  }8n͘ ^ΨHnп ^͘s ^n͘ ^HsJ ^sппп ^n͘ ^sHμjʴJ ^èHп K e   @ *p@ @ @ @ @ ?    f [ _ @ f ?    @ @ @ @ q    pe *8 
> Øh( xӤ͘ ^èHǹ ^sʴJ (#пnsпп ^Hп ^[ǼΔ ^csι8L f   ?f |    oQU  
> Øh` ʼΔ ^n͘ ^Hǹǹ ^sʴJ (#пnsпп ^Hп ^[ǼΔ ^csι8L g   ?x@h &  @OLF-Di #  @OI-Dj   @'G-Dk ]   @8OHH-l    @ONv-Dm "   @OP-Dn &  @OL?̏o #  @OJ6?̏p   @'Gl?̏q ^   @8OH@lr ! .@'N?̏s "   @OP?@ @ @ @ @ ?    t [ i @ t ?    @ @ @ @    nfT[ 
> Øh xӤ͘ ^sHʼjnHμ ^Μc ^n͘ ( #sHΐHՈʴJ ^Øп ^ʼ ^Ƙ ^[ǼΔ (zPпHΠ ^n͘ ^HsJ ^͘ιns (}ʼΔ ^nHΠ ^n͈n ^ʼΠʹJп ^H (aΤs(п ^HsJ ^s ^ǌƴJ (_ʼΠʹJп ^LMпn ^JH ^n͘ (nsʼп[snHμ ^ǈnHμпS K t   )?NwE`@ @ @ @ @ ?    x     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          u  s @   e f g h i j k l m n o p q r s t u ?    
   coach_start %    `+@ 
> Øh ,ݹ4       @       @    @  i @ Y    @     y@'
!@      y@'
!    *"    y@'
!    M@            ŀ  8Gt a    p<H 
> M`$Et&!%g&$ &̥ a&%̥9 g̥j! & ԝ̥! 
   @>d<   x 7K 
> Øh 9XJ ^n͘ ^[δJJHΠ ^пʼΘпQ ^ ^HJJ ^Jʈs ^ƈпHп ^Μc ^aΤs(п ^  #7HsJ ^Μc ^пnsпп K ^ ^=	 ^пn ^Μc ^пnsпп ^ܸʴJǘп ^[s ^ ^пnsпп ^  P7ʴJʹʼn ^HJJ ^Ƙ ^ͨHܸʼ ^H ^n͘ ^՘s ^sHͤn ^sΘs ^Μc ^n͘ ^  }2пʼΘ K ^ ^} пHΠ ^n͘п ^ܸʴJǘпQ ^ ^HJJ ^Jʈs ^ ^n8L( 5 ^ ^մJn ^aΤs(п ^HsJ ^[s ^п՘ʐHcHʔ ^sʴJ ^ʼΔ ^п͘ʈs ^hпnsппп( ^
( ^ ^ʴJǴJn ^n͘ ^ʼns ^Μc ^aΤs(п ^HsJʃ( ( ^ ^ʴJǴJn ^n͘ ^sʔʨHп ^Μc ^aΤs(п ^HsJʃ( , ^ ^ʘnsHΘ ^n͘ ^èHǹ ^ʼΔ ^HΨHǹ ^sʴJ ^h?пnsппп( 6 ^ ^ʘnsHΘ ^n͘ ^ʼΠʹJ ^csι ^n͘ ^ ^èHп ^n ^n͘ ^èHǹ ^hsHΐHՈʴJ ^èHп ^H ^aΤs(п ^HsJʃ(  9 ^ ^nsʼпJn ^n͘ ^ʼΠʹJ ^[ǼΔ ^H ^aΤs(п ^HsJ ^n ^n͘ ^v ^hM0пՈnHʴJ ^sʨHΈn ^ппnʹ ^[s ^n͘ ^пnsпп ^ʴJʹʼn   @ m|w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@        u    t @  
   ?     sigmaX           sigmaY           tauXY         )          GenerateRandomStressParameters =          ClearTheCircle =          RefreshZShape =  coachFlag           RevealTheCircle   RevealCoords    RevealC    RevealR    RevealTwoTheta   
	   generate 9    h  
> M`mYj&ԝԝg&$  !&  B    @>d<?     concentrated_moment ?     concentrated_moment 	    ?  >  xlabel _currentframe gotoAndStop ylabel theC theR twoThetaP  RefreshLabels      N    I           R           R  N    I          R          R  N    I          R          R  N    I          R          R  N    I          R          R ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & d  grid_stress  ;   	  AEP 4    & 
    @     &     ?Ա    &    	      &  ;    AEP 2@    &     @    &     ?    &     `    &    & q  circle    &$ s m xCorrect    && u ԀxWrong    &( s  yCorrect    &* u yWrong    &, z acute    &2 o xdot    &4 p jydot K   6  BXxlabel     /     coordsAbove  coordsBelow       K   :  ylabel     /     coordsAbove  coordsBelow       >   ADP O     &    &?  } one    &A   two    &C  z one    &E  z one J   G  ݀theR     /     coordsAbove  coordsBelow       J   K  theC     /     coordsAbove  coordsBelow          &O  min2    &U  @ max1 O   [  qtwoThetaP     /     coordsAbove  coordsBelow          &a o  centerDot @   k      @ M u mmc     J      _parent EvaluateMouseClick      "     "     R   4    X ]  	> Øh ,ћc*n.@0 #Krn w     j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@        }  e  u l  ŀ  8G u 	+    g!1| Øh        sSigmaX +123.5 	+    g!1| Øh        sSigmaY +123.5 	*    g!1| Øh        sTauXY +123.5 	c     < ޙޘ\   =  @ @   @'    &     @8L     &  #  @8L`    &   @'@   @'    & 	    @8LB    & 
 #  @8Lb    &   @'B   @MN    &     @$w    &     ?ꌒv    &  #  @8LdN    &   @'DN@      6t   @ OT` u given 	x    ?     <   J   K  L ` M    &	 P  sigmaXtension    & Q  sigmaXcompression    & P     sigmaYtension    & Q     sigmaYcompression    & I       tauXYpositive    &" I   `   tauXYnegative '   BFT (   W`)   AAx5*   |Cp+  AC'",   'l-  Ԍ@      6  QQu theZ @ ?     coachFlag     
   flag1     n	-2 M `' jm'  hq&&v )h 'mRf -٦m   s00  @`fe  ` hID 
@IĚI   iIh f    f9  I    ha 	> Øh#
]*64̫I@7RͨPū:EM٨rA,     ?S %    b8:
` 	> Øh  mi+v    @EP #    b<`
 	> Øh  {:VP    @W    BiPNb     &    @Fe     &  !  @5t    &   AfPNwd0    &    @ y    &    ?{     &   tHh+
 q    hJ^8Q 
> Øh0 \ΰ ^n ^n͘ ^ ^cʐʃ#Μc ^n͘ ^пnsпп ^ʴJʹʼn K   r09    h	0RX  
> oĕ?  XJc ^n͘ ^п͘ʈs ^пnsпп ^ss ^ #μ ^n͘ ^ ^cʐ ^пп ^n͘ Be Pпnsпп ^ʴJʹʼn ^n ^snn ^<}	JΐHпʄoĕQ ^մJn   r09q    h	0RX  
> ?  XJc ^n͘ ^п͘ʈs ^пnsпп ^ss ^ #μ ^n͘ ^ ^cʐ ^пп ^n͘ BPʴJʹʼn ^n ^snn ^ }ǼnsJΐHпʄQ ^մJn   r09֓   n=	    ?   n97    ?   r9K    ?   r19FK@    ? P    hlP}  	> oĕ  *662/jn3(> 	  z>   +D   r99VK   В^9Y    ?   r0K9m    ?   r09m    ?    А^=@    ? =    hP}  
>  ƘʴJ ^n͘ ^ ^ ^ ^èHп K   r09̧m@@    ?     coachFlag     
   flag2 I    ha  	> Øh#
]*64̫I@7RͨPū:EM٨rA,     ?S    @F   @X ACPNc0    @Fg4  AEPNu@    @ x,     ?z  tHh+
 q    hJ^8Q 
> Øh! \ΰ ^n ^n͘ ^ ^cʐʃ#Μc ^n͘ ^пnsпп ^ʴJʹʼn K   r09    hNRX  
> oĕ?  XJc ^n͘ ^п͘ʈs ^пnsпп ^ss ^
 #μ ^n͘ ^ ^cʐ ^пп ^n͘ 3e Pпnsпп ^ʴJʹʼn ^n ^snn ^<}	JΐHпʄoĕQ ^մJn   r09q    hNRX  
> ?  XJc ^n͘ ^п͘ʈs ^пnsпп ^ss ^
 #μ ^n͘ ^ ^cʐ ^пп ^n͘ 3PʴJʹʼn ^n ^snn ^ }ǼnsJΐHпʄQ ^մJn   r09֓   n=	    ?   n97  r9K  r19FK@  r99VK   В^9Y    ?   r0K9m  r09m   А^=@  r09̧m@@ e                      ?     coachFlag     
   flag3 1    ` 
> Øh ,ʤܘِʰʃ#4      j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@                  CheckThePlottedPoints = e  x  ř=~b    `B 
 
> Øh  
EJH ^n͘ ^٨rz #͘ʐ ^ʄØh ^\Pnnμ K   9E@@ e ?5     coachFlag AttemptsToPlot       P 
   flag4 3    `,H 	> Øh ,󧈃 #Cn&D۠      j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@                  CoachPlotting = e  y  H    h|R  	> Øh 
yK6fPZ3$^ݢd #Ã;f8dm2/bմ;SvR/D3( P;Sp1$jnzEyeHA,W}mi*fTL2/HQ"E٨r%
ݙϧT3beTHA,   @
NjO@ e ?     coachFlag     
   flag5      j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@                  CoachPlotting = e  z     hNR 
> Øh4 xӤ͘ ^ΨHnп ^sʃ# ^пnHJJ ^n ^մJnnʔ ^-PssʐnJQ ^n ^JnFп ^}μnHǘ K ^ ^EJH٨r	 ^ʤ͘ʈʔ K   @
NgO@ e ?     coachFlag     
   flag6      j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@                  CoachPlotting = e  {     h'TR> 
> ØhU eHʴJ ^μΘF #EJH ^٨r ^ʤ͘ʈʔʇØhPn ^s0}aΤsFп ^HsJ K    	@ mX@ e ?*     coachFlag      RevealCoords  
   flag7 w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@        }  e  |  f=~    hR@ 
> Øh  xӤ͘ ^ssʐn ^ ^Q #aΤsFп ^HsJ ^ PпǴJ ^Jΰ}
JH ^nͨHп K    &@ q[p@  e l t    ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =  userCenter     AttemptsCenter           RevealCoords  
   center_start G    p/ >@ 
> M`Et&0ԝ! g̥j! !&ԝ!̥ Et    @ d<   6  @ M } mmc #    ` ` 	> Øh,{wS͜π  /    \|Y      kEhhRhZ[V$.ΣGCp      j @   i @ Y      >@rK@      >@rK    *"    >@rK    M       &  AttemptsCenter EvaluateCenterAnswer    P         = e  `} w     j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@          l  } s  ŀ  8G }    6{  QQ} theZ    6   @ OT` } given 	/    `j.Ѕ)| 99        userCenter +123.50   J & ɀ `CU  ř9G!     h	Q  
> ØhA  Lns ^n͘ ^ܾʴJǘ ^ #cs ^n͘ ^ʼns ^E E=PΜc ^n͘ ^HsJ K     ?NQ  +ѫ9     h]Sm 
> Øh } п ^n͘ ^#sʨHΈnп ^iPΜc ^ÄØh ^ʼΔ ^Øh ^n΃}ιnʃn͘ ^HsJFпʼns ^E K   ޿9h>@ ?    
   center_wrong  3OI"a    h\Q  
> Øhr  xӤͨHп ^ܾʴJǘ ^Hп ^Hΐssʐn K ^ <w #pʐʴJJQ ^n͘ ^ʼns ^E ^Μc ^ Pn͘ ^HsJ ^Hп ^ͨHܾʼ ^8L    ?| &  @NĀ #  @N9Ā X  @    ?N%    1@	 y    @N#   @N%    1@	)    @N,A@ e l          ?    
   center_giveup e @ `i @ h Y `i [   f8    hKVRX  
> Øh E ^Hп ^пnHJJ ^n ^"#ssʐnQ ^n ^JnFп ^[PμnHǘ K ^ ^EJH٨r }	 ^ʤ͘ʈʔ K   #9 @ i ?   _ 	 correctCenter sigmaY sigmaX CenterOfCircle FactorOf10 userCenter Math formatDecimals RevealC        = <	          R  
   center_correct w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          i    f9G!     hhRX  
> ØhS xӤ͘ ^ssʐn#ܾʴJǘ ^cs ^n͘ ^ Pʼns ^E ^Hп ^п K :  }EJH ^٨r	 ^ʤ͘ʈʔ K   @ M @ ?     RevealC  
   center_right  ųٸ9G! t    hxBbX  
> Øh 	EssʐnFF#eH ^sFFPEJH٨r }	 ^ʤ͘ʈʔ K   @	NP @  e h i s {     ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =  userRadius     AttemptsRadius           RevealCoords   RevealC   RevealR   
   radius_start G    p>@ 
> M`Et&0ԝ! g̥j! ̥! g qm    '@ d<   6  @ M  mmc      j @   i @ Y      >@rK@      >@rK    *"    >@rK    M       &  AttemptsRadius EvaluateRadiusAnswer    P         = e  ` w     j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@          l   s  ŀ  8G     6{  QQ theZ    6   @ OT`  given 	/    `j.Ѕ)| 99        userRadius +123.50   J " ɀ `BU ţ9G!     hQ  	> ØhA  M{;St̬`7R͙{uLI[1e ^4 #ǃ;3MԳfe ^*VUD//8 =P9Y2/HED     ?Q  +ѫ9     hSk 
> Øh } п ^n͘ ^#sʨHΈnп ^PΜc ^ÄØh	 ^ʼΔ ^n͘ ^W }HsJFп ^ʼns ^EØh ^ n ^ιn ^n͘ ^sʔʨHп ^p K   ޿9h>@ ?    
   radius_wrong  *K"a    h\Q  	> Øhr  yK6FۯeZJُ3(D$^Α{;3g9R/u7K   #q3*ELIV(^K6fPq2eTHُ31^ PK6fP39Ƚ3(DfH}3*p8N&     @N|   @  @?N/mp   @   F@    F@*    F@,    @T4a`   @6i   ?8Q   F@.7i   ?   ?N!    @	    @N9 ! @0!Ѻ    @	%Q    @N'񼠏 " @?N
` #  @?N`@ e l                    ?    
   radius_giveup e @ `i @ h Y `i [   f9G!     hKVRX  
> Øh p ^Hп ^пnHJJ ^n ^"#ssʐnQ ^n ^JnFп ^[PμnHǘ K ^ ^EJH٨r }	 ^ʤ͘ʈʔ K   ;E@@ i ?   e 
 correctRadius tauXY sigmaY sigmaX RadiusOfCircle FactorOf10 userRadius Math formatDecimals RevealR         = <	          R 	 
   radius_correct w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          i    ųٸ9G!     hDURX  
> Øh xӤͨHп ^ܾʴJǘ ^HпC#n͘ ^ssʐnPsʔʨHп ^p K ^ ^EJH٨r}	 ^ʤ͘ʈʔ K   @	NN @ ?     RevealR  
   radius_right   @	NP @  e h i s {       ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =
  userI1     AttemptsI1           RevealCoords   RevealC   RevealR  

   max_start '    h   
> M`Et&0ԝ!       PMH > 	    k[S    M m    O]3 M >ת9W+rWV~W=y=H
2d$gU3rR\jCp.K}[:7H́ M ,W_8V"u   kZKpC     M    6  @ M  mmc      j @   i @ Y      >@rK@      >@rK    *"    >@rK    M         AttemptsI1 EvaluateI1Answer    P         = h  ` w     j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@          o   v  ŀ  8G     6~  QQ theZ    6   @ OT`  given 	+    `j.Ѕ)| 99        userI1 +123.50   J   Ƀ&`:BU ] ɀ `TDdVp  f9 ~    h#LQ  	> Øh  M{;St̬`7R͙{uLI[1e ^ #ǃ;3MԳfe ^ū΢E1jʴxXP3̭// ^ x     @NL    @7Nkǰ    &     @Ni@    &   +9  ŀ 9A@    &   ŀ ;9*     &     h?R  	> Øhg 	yK6fPZ3$^܃#{8Y2/HE@ P+3Y2_n pMԳfe ^D}Q"m,M$h "&UIS2e  x   R9u0- @  ?    

   max_wrong  Fn$A &  @N#!Ѐ #  @NYЀ   1@.Ѐ ]  @?N%    @N'Ѐ "  @N,EЀ    hRX 	> Øh yK6FۯeZJُ3(D? #{:EyeHA,2^ʴi(bMԳfe ^Pū΢E1jʴ{Es2_ xX/ 0  <}ډe^ 	    +@N		   @2:    &    @70    & @ h o        ?    
   max_giveup h @ `i @ k Y `l [   f9     @+Wɘ    &   >@    &     h(RX  
> Øh  ^ ^ ^ ^ ^Hп ^пnHJJ ^n ^\ #ssʐnQ ^n ^JnFп ^ PμnHǘ K ^ ^EJH٨r:}	 ^ʤ͘ʈʔ K   +,@@ l   ?   d 
 correctI1 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 userI1 Math formatDecimals        =       =G <	          	R 
   max_correct w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          l    Abq     h1RX  
> Øh  xӤͨHп ^Hп ^n͘ ^ssʐn ^|#ܾʴJǘ ^cs ^n͘ ^ PsHΐHՈʴJ ^пnsппs00 ^ ^ ^ ^ K ^Øh ^}EJH ^٨r	 ^ʤ͘ʈʔ K   @H     @+wi@    &   #    & @   ?    

   max_right  ųٸ9   @	NM}@  h k l v ~   ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =
  userI2     AttemptsI2           RevealCoords   RevealC   RevealR  

   min_start     PtH 	> 	    m[S   6  @ M  mmc      j @   i @ Y      >@rK@      >@rK    *"    >@rK    M         AttemptsI2 EvaluateI2Answer    P         = h  ` w     j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@          o   v  ŀ  8G     6~  QQ theZ    6   @ OT`  given 	+    `j.Ѕ)| 99        userI2 +123.50   J ^  f9     h#LQ  	> Øh  M{;St̬`7R͙{uLI[1e ^ #ǃ;3MԳfe ^ū΢E1jʴx)P3̭// ^ x	`     @NL  @7NkMǰ    &     @Nhq@    &   Ł9a@ ŀ ;9*     h?xR  	> Øhg 	yK6fPZ3$^܃#{8Y2/HE@ P+3Y2_n pMԳfe ^}3*s4_^{*URN x   @  ?    

   min_wrong  Fn$A &  @N#!Ѐ #  @NYЀ   1@.Ѐ ^  @?N%  ! F@.'Ѐ "  @N+Ѐ   +@N		  -@2:    &    @70    & @ h o        ?    
   min_giveup h @ `i @ k Y `l [   f9   @+W    &   c>@    &     h(RX  
> ØhR  ^ ^ ^ ^ ^ ^Hп ^пnHJJ ^n ^\ #ssʐnQ ^n ^JnFп ^ PμnHǘ K ^ ^EJH٨r:}	 ^ʤ͘ʈʔ K   +,@@ l   ?   d 
 correctI2 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 userI2 Math formatDecimals        =       = <	          	R 
   min_correct w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          l    FfN"a     h%XTRX  
> Øh  xӤͨHп ^Hп ^n͘ ^ssʐn ^|#ܾʴJǘ ^cs ^n͘ ^ PsHΐHՈʴJ ^пnsппs00 ^ ^ ^ ^ ^ K ^Øh Q}EJH ^٨r	 ^ʤ͘ʈʔ K   @`  @+7	    &   h[d     & @   ?    

   min_right  ųٸ9   @	NM}@  h k l v ~          ?9  !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =  userTwoTheta     AttemptsTwoTheta           RevealCoords   RevealC   RevealR   RevealTwoTheta            ShowTheArc = 
   twoTheta_start 3    hԀ 
> M`Et&0ԝ! !&$j!       Pǰ 	>  X   j<Zu(    PmP 	> 	    hZzEp    M  V hZ=NB   6  @ M  mmc      j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@         mmc centerDot _x xdot    N N   N NH 
        h   v  ŀ  8G     6~  QQ theZ    6   @ OT`  given   _3OA(b h+
    h6Uǀ 
> Øh@ x ^ʘʜcHΘ ^n͘ ^#sHʼnnHμ ^Μc ^n͘ ^ PsHΐHՈʴJ ^ØпQ ^ ^п͈ʴJJ 8!}ʘnsHΘ ^n͘ ^ʼΠʹJ ^J Ƙnʘʼ ^n͘ ^sʔʨHʴJ ^JHΘ ^	n ^ΨHn ^ÄØh	 ^ʼΔ ^n͘ ^X sHμnʴJ ^sʔʨHʴJ ^JHΘ ^n ^b1	n͘ ^sHΐHՈʴJ ^пnsпп[^
 ^ ^ ^ KØh ^ ^xӤͨHп ^ʼΠʹJ ^Hп ^nsʔ ^, ^ ^ ^ ^ K   ų2U9$  ŴX=    &   ų2+=I     &  V ų2ٙ=!ϐ    &   ų2+9Ά     ?   ų2ٙ9@    ? @ h   ?              ShowAcuteAngle = 
   twoTheta_acute w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          h    _A2b   hQ.U  
> Øh } п ^n͘ʃ#sʨHΈnп ^Μc ^PΨHn ^ÄØh ^ʼΔ ^n͘ ^HsJ ^0}ʼns ^EØh ^n ^cHΔ ^n͘ ^MsHμnʴJ ^ʼΔ ^ܾsnHʴJ ^
пHʘп ^Μc ^n͘ ^nsHʼΠʹJ ^>п K ^ ^xӤ͘ʼQ ^п ^n͘ ^G1	Hܾsп ^nʼΠ͘ʼn]^
cǼΐnHμ ^n ^cHΔ ^n͘ʃʼΠʹJ ^, ^ ^ ^ ^ K   ų2U94  ŴX=Ѝ ų2+=a ų2ٙ=9̀@ h    ?              ShowAcuteAngle = 
   twoTheta_obtuse h [     hQ.U  
> Øh } п ^n͘ʃ#sʨHΈnп ^Μc ^PΨHn ^ÄØh ^ʼΔ ^n͘ ^HsJ ^0}ʼns ^EØh ^n ^cHΔ ^n͘ ^MsHμnʴJ ^ʼΔ ^ܾsnHʴJ ^
пHʘп ^Μc ^n͘ ^nsHʼΠʹJ ^>п K ^ ^xӤ͘ʼQ ^п ^n͘ ^G1	Hܾsп ^nʼΠ͘ʼn?^
cǼΐnHμ ^n ^cHΔ ^nͨHп\ʐn ^ʼΠʹJ K   @ ?     Rcb}   p?*] 
> Øh <i3S@FR9AJLe `x  ^j7)3QMFi1#h_2K!~ ^j7)3S@FR9AJLe Ɍsi1^g LPxbPf92JFR( JT$/3@s8 `g*FraØh	 /"2LQI / }Rf3je9ynDe-4FRS)PZ% Jrc( n`g LPx0 bj	!Z% Fcc)~п / %Øh / 6r| nRf2BC1!zJLe @ "Pf2ˑSQ(	F!~ ^De15Xcc)yn /5pyܤLe De/3DPyj78FIpyT$/3raØh /"2LM /4/`Øh / (1	p*KD31 ^9@  F> 
 /.G	;B nRf2\^
De$/[FPyPf@BBS)1j7*jRS(^Fc:8@F&jc( nf9Kj)1 K   ų2h9]@  ųL<9     ?   ųL٪9@    ?   ųL<=9    ?   ųL٪=4A0    ?   Ŵi94     &   ųL<=8    &  V ųL٪= >p    & @ h      ?&     mmc   acute N  _visible  O 
   twoTheta_input      j @   i @ Y      >@rK@      >@rK    *"    >@rK    M       *  AttemptsTwoTheta EvaluateTwoThetaAnswer    P         = h  ` w     j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@          o   	1    `j.Ѕ)| 99        userTwoTheta +123.50   J , Ɂ`TE|Vp 
 Ɂ\`TAU  ɀ _CU  L즆9F q    hPQ 
> ØhW 
Lns ^n͘ ^# #ʠͼΨHnǔʘ ^Μc K PʼΠʹJ ^ ^ ^ ^ ^ ^ ^ ^ K    ?T  @Dgà    &    @7No]     &  V  @Nm̰    & @    ?    
   twoTheta_wrong  M,x9F N    `(X
8 	> Øh  yK6FۯeZJُ3(D #D/pgfs3*E	`    m?NV!@ h o ?    
   twoTheta_giveup h @ `i @ k Y `l [   f9x   @8NMy    &     @+TP    &  V +G    &     h:*RX  
> Øhu  ^ ^ ^ ^ ^ ^ ^ ^Hп ^пnHJJ ^n ^ #ssʐnQ ^n ^JnFп ^PμnHǘ K ^ ^EJH٨r}	 ^ʤ͘ʈʔ K   5@ l ?}   >  userTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal Math abs         =<        R 
   twoTheta_correct w     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          l    &9|7  @8Nkվ@   @+sM ㎠   h!YQ 
> Øh  xӤͨHп ^Hп ^n͘ ^ssʐn ^w #ʠͼΨHnǔʘ ^cs ^ ^ ^ ^ ^ ^ ^ ^ K/P ^ ^EJH ^٨r	 ^ʤ͘ʈʔ K  @Ep@    ?    
   twoTheta_right  ų2ٙ9   	@ M9@     k l v ~        ?3  !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =  userTheta     AttemptsTheta           RevealCoords   RevealC   RevealR           ShowTheArc =  RevealTwoTheta  
   theta_slide S   pL <@ 
> M`i̥g!&ԗ!ԝg&& & 0̥g&g0!j !!     6  @ M  mmc e @ `i @ h Y x    j @   i @ Y      @˧5@      @˧5    *"    @˧5    M@          i     6x  QQ theZ    6   @ OT`  given 	.   `j.Ѝ9| 99        userTheta +123.50  J , Ɂ`TDnVp  ɀ _BU@  52/΍x VV}Î @   5.ox [[u@@  @8D
@x ``m@  `>8dx eeec@  ~8! x jj]C @  ]8,@x ooU#@@  ݾ87x tqtpM@  |8C@x yay`D@  8Nx ~M~L<À @  8Z x =<4~@@  <*8$e@x -,,|@  \84px $Cz@  zI8d| x 	Cy @  Ż8dx #w@@  Ŷi8~ x u@  ű8|@x ՠs@  Ŭֈ8zx ťM@  Ũ8x x @  ţ6ѧ8wx ͸@  ŞV68ux M@  řv8s4@x M@  ŔU8qT‌x ml@  ŏ8od x ]\͜@  Ŋt8mx MLM@  Ņ8kx 98uM@  Ł8i@x )(e@  |2#8gx T̀@  wR8e' x 	Dz@  rpB8d2@x 4Ms@ i ?    
   theta_intro  m8b%=i [  p  ŀ  8G  x $l  tZtTa@h+
   p6IE*A 
> Øh TܾHΠ ^ʘnsHΘʔʃ#n͘ ^sHΐHՈʴJ ^пnsппп ^ʼΔʃPn͘ ^ʼΠʹJ ^ ^ ^ ^ ^ ^ ^ ^ ^csι ^aΤsFп ^}HsJQ ^ ^Θn ^ʘʜcHΘ ^n͘ ^sHʼnnHμ ^Μc ^n͘ ^sHΐHՈʴJ:Øп ^H ^n͘ ^vsʨHΈn ^ппnʹ K   @K   @QEh    &    @DMTr    &  V  @MQ!    & @   ?    
   theta_intro1  ){z~T  h W  
> ( 	XJc ^ΨHn ^Ä ^Hп#ƘʴJ ^n͘ ^HsJʃPʼns ^EQ
 ^sHΐHՈʴJy }èHп ^(s ^HJJ ^Ƙ ^snnʔ ^n ^1ʼ ^ʼΠʹJ ^Μc ^ ^ ^ ^ ^ ^EEm ^csι ^n͘ ^ ^èHп Koĕ 1		XJc ^ΨHn ^Äoĕ ^Hп ^ʌܾ ^n͘ ^^
HsJ ^ʼns ^EQoĕ sHΐHՈʴJ ^èHп ^(s ^HJJ ^Ƙ ^snnʔ ^n ^ʼ ^ʼΠʹJʃ	Μc ^ ^ ^ ^ ^ ^Em ^oĕcsιSn͘ ^ ^èHп K  ųR٧9X  ų2+=9X         V ų2ٙ= ]         ų2+9Ч     o1	P  V ų2ٙ9W6    o1	P   XSTa h+
 I  
 , n  *5G;bvr(m7!ہSD  5i3gx~{d\.#g76LܰqkY~xnϘ"cMZQl'c9F 5lV	J	.GI6P
Ӏf$P,}mgX$ߩp2#LX` >>
M7j5T jh Z7mL'H~ 5lV	oeqH	a"wV|+O|zm,qnN[ۖbzG`dp@ug&n{)*4) 5bڎr#_0p!ĕ    Sui GenerisFMORT  p#J, *@@ 
> Øh Psι ^aΤsFп ^HsJQ#ʘnsHΘ ^n͘ ^snnHμ΃.PʨHsʐnHμ ^sǨHsʔ ^n ^snnʏ} >  ^ΨHn ^ÄØh ^>  ^ΨHnM ^пØh"μ ^n͘ ^HsJ K ^ ^xӤͨHп ^snnHμ ^HJJƘ ^ʨHn͘s ^JΐHп ^s ^ǼnsJΐHп K   ?͜   @+NI(qP    ?    @ NFPw    ? @ i     ?v   8  principal_axes _rotation UseColoredArcs RotateTheAxes            O   O           R 
   theta_start    	 j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@       '  AttemptsTheta CheckTheRotatedElement    P         = i 	 ?l   
e''&( M oĕ  !WUe (~^[gZ*	t%ST+ Q AEQT0GBX>  < $hz 	     
 @ @ ?    @    S   e&0
( 333      bXtUDM0D STGBA@ wXV(X  f 	      @ @ ?    @   f   e  M   XИ6b?V饚]U <6U, B /EtZ{  < #И 	      @ @ ?    @    S   e-` 333      c:)j hifWh(#@E@ 4>_P ;i 	      @ @ ?    @        o'  x oĕ%@ *nƎ     0
   3ff$)ѳA@ 	      @      `/#\  oĕ  	     I`@      ` \  oĕ  	     I@@    5   DCC  
yQ P9%n:Pݕ@%d0 C    
     H   pressingRotate        pressingRotate  	   ?    one _rotation this two posArc _visible posArcMono negArc UseColoredArcs negArcMono _parent userTheta Math formatDecimals  +  RotateTheAxes   &            NO           NO  N	         H ~    O   O  O           NO 	 O 	          NO            NH ~    O 	  O  O           NO  O           NO 8    O   O 	  O   O 
             N     R GO                  NH   
 
 NGO F e d     & ɀ `  posArc F e d 	    & ɀ `  posArcMono F
 h d     & ɀ `  negArc F h d     & ɀ `  negArcMono      & / regMark    & @o one    & @"ֆA two  ͪU3\@ @ @   ~   ed$l principal_axes     S    pressingRotate point x  y _parent localToGlobal reg this regMark _x _y deltaX deltaY initialRadian Math atan2 _xmouse _ymouse rotationRadian rotationAngle _rotation RotateTheAxes             "	    "    C      R  	N 
N  NG  	N N  NG    C  N  N  N  N       R  N  N  N  N       R       	 !	@-DT  O         =     )I>^E0  h֊T  	> Øh X{8Y2/NcC7f>g9C@p #{i*De^Ε9VVg8T3@/`νx P*64̫I@/K {SvٜgjnfP }K6fPcu^ū΢E1jʴxpfV/gjn{Su,ٙU39^ūv-YYg΢D̫ڛejn:q  9#U   b7$` 	 oĕ 8  f9F=@@ ?    
   theta_wrong   ܸ=890   hR 	> Øh yK6F\ #΢D̫ڛejn:p//  P;Sp39s"Sq(}mi*fTL2/jnӄC6&UD  ř=@ i ?    
   theta_giveup i [   9=48   hRR  
> Øhl xӤͨHп ^ #sHʼnnHμ ^Hп ^  PпnHJJ ^n ^ssʐn K (   }EJH ^٨r ^ʤ͘ʈʔʄØh ;n ^μnHǘ K  ř=y@ i    ?`   6  principal_axes _rotation correctTheta RotateTheAxes    O           R 
   theta_correct x     j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          i    [EN^E@   !hGHSm 
> Øh xӤ͘ ^ssʐn ^#sHʼnnHμ ^Μc ^n͘ ^MPsHΐHՈʴJ ^Øп ^Hп ^4}п K ^ ^EJH٨r ^ʤ͘ʈʔʄØh ^n ^	μnHǘ K  !9E@ ?`   6  principal_axes _rotation correctTheta RotateTheAxes    O           R 
   theta_right  ųٸ9y   @	NIM @   e h i p x            ?    
   game_instructions  < QFTu& i @  = 35FhsExi @   ŀ  8G  w   " j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@           " 1   #h:   
> M`Xj&ԝ̥ԝg&&  #B   $P H  
> Øh@-x kBR k} kH\ k kH} kڐ̄ k(%*%* kR} V k k  s4x̄ k̄ kqRҘ ka=̄. kبR̄شU kڰרRUU k} kH}̄\ kؤ k  /;̄} k(%* kR} V k k̄רR k kHU} k̄UH k  %-R k;̄} k1
%* kR} V k k kH k} k} kHU} k  ~.} kqRҘ kڰרRUU kxڰ k k kHU} k̄UH\  )̄ k kH k;̄ k}; kHU} k̄UH k} k  0	}xR k kBRR kڐ̄ V  =. k(ژ} kq k}̄ k҈U k̄̄R k} k k  ;&ڤ kBRUU k kڤB kR k} k̄ k̄R}  &̄̄ kq k} kڐؘ V k k}$ژ k}ژ k҈Uڃ  } kU} k} kبR̄شU k kH}  F} kRR؈} k̄̄}R V  $@-  F   @t  F   @sp    & @       ?    cumulativeScore taskScore done_one_flag done_one IsItDone done_two_flag done_two done_three_flag done_three done_four_flag done_four done_five_flag done_five done_six_flag done_six done_seven_flag done_seven value flag instance _visible  TheGameIsWon     A A	 
        =    G	 
        =    G	 
        =    G	 
   	 
    =    G	 
        =    G	 2        =    G	 2        =    G   d   H   >    > IsItDone  instance flag T  A     O         O          > ?(             TheGameIsWon =     
   start_the_game   ŀ  8G   D   %e ( hP%kIp h-i' 
& ٶh` kfh 
 &I*   &h` 
> hP  (s% ^nп P  ' %@       $%  @   &   @+  B(    M V  B(bq     M   B(5      V  B(b        B(h    V  B(bq h      B(5    *" V  B(b    *"   B(5    MV  B(b    M      correctCounter             'cH    ( @       $%  @   &   @+  D(B    M   Cب    M V  CبiV     M   D(Bu       	 CبE      V 
 Cبi        D(Bh      Cبh    V  CبiV h      D(Bu    *"  	 CبE    *" V 
 Cبi    *"   D(Bu    M 	 CبE    MV 
 Cبi    M      correctCounter             (9JV@  *   )h`  
> hP  0% ^nп F   *hlQ+  
> hP7  ιմJnʃ #	 ^sΌƴJʹ    +  @       $%  @  y )   @+* N    M * L* Nh    * L    *" * L    M      correctCounter           callingFrom       ! +_D<    ,  @       $%  @  y )   @+* N    M * L* Nh    * L    *" * L    M      correctCounter           callingFrom       ( ,ɀ ` (0 ;   -gL  
> hP =h	ԍ̔ ̔]     .  @       $%  @   &   @+- *    M - )- *h    - )    *" - )    M      correctCounter            / .5M 4   /g'( 
> hP `0j&ԝ  	H B    0  @       $%  @   &   @+/ )p    M / (/ )ph    / (    *" / (    M      correctCounter            6 0s<    1b7 @ 
> hP `   2 @       $%  @   &   @+  z
`    M   z˚]<    M   zS    M  
 zO    M 1 VU;    M   z
'         z˘        zQY        zK3      1 VU~'  z
`h      z˚]<h      zSh     
 zOh    1 VU;h      z
'     *"   z˘    *"   zQY    *"   zK3    *" 1 VU~'    *"   z
'     M  z˘    M  zQY    M  zK3    M1 VU~'    M      correctCounter            = 2*  &   3hT  
> Øh 3׽֙ 	   4  3  ?@ @ @ @      6P 4&  done_two    6R 4*  done_three    6T 4+   done_four    6V 4cH  done_five    6X 4ɀ ` D< done_six    6Z 4ɀ ` (0 done_seven    6\ 4s< done_one ^ F   @t _ F   @sp    & @      ! ( / 6 = P R T V X Z \ ^ _ ?  $ center sigmaY sigmaX CenterOfCircle FactorOf10 radius tauXY RadiusOfCircle UserValue userI1 StripAnyUnitStrings correctI1 formattedCorrectI1 Math formatDecimals bCorrect1 IsItCorrect ok1 gotoAndStop userI2 correctI2 formattedCorrectI2 bCorrect2 ok2 theta principal_axes _rotation correctTwoTheta TwoThetaPrincipal correctTheta bCorrect3 ok3 revealAnswers UseColoredArcs RotateTheAxes correctCounter * CheckTheCompleteProblem  revealAnswers         = <       = < 	    
=< 	K   G<	         R<      =<           R          R     
=< K   <	         R<      =<           R          R  N<       =<     <      =<           R          R     	  !  O          "R        R        R        R L   L      ##P     > ?-    GenerateRandomStressParameters RefreshZShape userI1  userI2 userTheta ok1 gotoAndStop ok2 ok3 principal_axes _rotation UseColoredArcs           =         =           R        R       	 R 
         O 
  O 
   complete_start    6   @ OT`  given ]   5pOV >@ 
> M`"mY̥g&g0!j ԝ̥!! !&  &̥g!&ԗ!ԝg&&  5 '@ d<   6 j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@              CheckTheCompleteProblem =  6    7  @       @    @  i @ Y    @     y@'
!@      y@'
!    *"    y@'
!    M@           7ŀ  8G     6#  L̦f9xCJ theZ 	  8 ?    one _rotation this two posArc _visible posArcMono negArc UseColoredArcs negArcMono _parent userTheta Math formatDecimals  +  RotateTheAxes   &            NO           NO  N	         H ~    O   O  O           NO 	 O 	          NO            NH ~    O 	  O  O           NO  O           NO 8    O   O 	  O   O 
             N     R GO                  NH   
 
 NGO F e d     & ɀ `  posArc F e d 	    & ɀ `  posArcMono F
 h d     & ɀ `  negArc F h d     & ɀ `  negArcMono      & / regMark    & @o one    & @"ֆA two  ͪU3\@ @ @     Q 8L̦f9xCJ principal_axes   B @ #  F  theKey Key getCode RIGHT UP this _rotation LEFT DOWN PGUP PGDN HOME            R<    NIL     k   IL     +   IL      NI *      A N	 ?# 8    NIL     m   IL     -   IL      NI *      A N	 ?G#      	NI &      A N    # p     
NI &      A N    G# 1     NI       A        #      pressingRotate point x  y _parent localToGlobal reg this regMark _x _y deltaX deltaY initialRadian Math atan2 _xmouse _ymouse rotationRadian rotationAngle _rotation ok3 gotoAndStop RotateTheAxes             "	    "    C      R  	N 
N  NG  	N N  NG    C  N  N  N  N       R  N  N  N  N       R       	 !	@-DT  O        N R         =   l @   @ `i @ o Y   @ `p , Ɂ`T]`q  ɀ _%W	.   9`j.Ѝ9| 99        userTheta +123.50 r 9[,   :h`}  	> oĕ  {;3g9R/u7  (   ;hP,` 
>   sμΠ 	;   < ?    @ ?     :  @'̦j@ ?     ;@      6s <5#P  ok3 u @   @ 5+ i @ x Y   @ 5+ 	+   =`j.Ѕ)| 99        userI2 +123.50 y =4גz   Ƀ&`:.( { ^ ɀ `T57    6| <5"0 ok2 ~ @   @ j6i @  Y   @ j6	+   >`j.Ѕ)| 99        userI1 +123.50  >ilV   Ƀ&`:] ] ɀ `TkC   6 <jDE  ok1   n9   ?h"  	 Ƈd   Dlfdcj Dhv~[czDwØh  NdplX    _Ndpl6~  <  >|l  ?386Z c   @`! 	 Øh  Hu  Hu Hu _Hu  <clwl[  @39&v?d   Am3*"U Øh Lk,V]]K3{2Q˲olʎZvTveQeQ6oDmlfvfl Af39\G   )IFxQ 9  9}vO@   ?    
   complete_first_try    B j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@              CheckTheCompleteProblem =  B  8C{xQ   Ch<R 
> Øh xӤ͘sʃ#Hп ^ʼ ^sss K ^ ^* PTܾ ^ʼn͘s Rh}ns ^n ^nͨHп ^sΌƴJʹ K  C !?f}@  ?    
   complete_second_try    D j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@             CheckTheCompleteProblem =  D    EhjR  
> Øh tssQ ^nͨHп#Hп ^Hΐssʐn K ^ ^j PEJH ^٨r ^ʤ͘ʈʔʄØh ^ }cs ^n͘ ^ssʐn ^ʼпs K  E !?c}@  ?    
   complete_reveal x   F j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@           F  ų2ٙ9汀   GhRTbX  
> Øhx TsF ^п<#n͘ ^ssʐn ^?Pʼпs K ^ ^EJH٨r}	 ^ʤ͘ʈʔ K  G 	@ aͅ@  ?    
   complete_correct   H j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@       ;  correctCounter callingFrom done_six_flag done_seven_flag       I J      I          I           H  ų2ٙ9F    	@ c]@     # Q l o p q r s u x y z { | ~            ?s    theta principal_axes _rotation correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal correctTheta bCorrect IsRotationCorrect correctCounter ok1 gotoAndStop  CheckTheRotatedElementGame       N<       =<      	      
=< 	 +  P        R            R > ?  H RevealTheCircle RevealCoords RevealC RevealR RevealTwoTheta GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues RefreshZshape ShowMaxPrincipal ShowMinPrincipal ShowTheArc principal_axes _rotation UseColoredArcs RotateTheAxes userTheta  ok1 gotoAndStop correctCounter one_more_time _visible mmc RefreshLabels                =         =         =         =         	=         
=         =          O   O          R         R     I    O     O          R 
   game_theta_start   '@ d<   6  m8b%= mmc e @ `i @ h Y `   6i <0 ok1 	.   I`j.Ѝ9| 99        userTheta +123.50 k IJl , Ɂ`TDnVpm  ɀ _BU   J j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@       %          CheckTheRotatedElementGame = n J    K  @       @    @  i @ Y    @     y@'
!@      y@'
!    *"    y@'
!    M@          u Kŀ  8G     6}  $l theZ 	  L ?    one _rotation this two posArc _visible posArcMono negArc UseColoredArcs negArcMono _parent userTheta Math formatDecimals  +  RotateTheAxes   &            NO           NO  N	         H ~    O   O  O           NO 	 O 	          NO            NH ~    O 	  O  O           NO  O           NO 8    O   O 	  O   O 
             N     R GO                  NH   
 
 NGO F e d     & ɀ `  posArc F e d 	    & ɀ `  posArcMono F
 h d     & ɀ `  negArc F h d     & ɀ `  negArcMono      & / regMark    & @o one    & @"ֆA two  ͪU3\@ @ @      Led$l principal_axes   B @ A  T  theKey Key getCode RIGHT UP this _rotation LEFT DOWN PGUP PGDN HOME RotateTheAxes            R<    NIL     k   IL     +   IL      NI *      A N	 ?# 8    NIL     m   IL     -   IL      NI *      A N	 ?G#      	NI &      A N    # p     
NI &      A N    G# 1     NI       A        #         =      pressingRotate point x  y _parent localToGlobal reg this regMark _x _y deltaX deltaY initialRadian Math atan2 _xmouse _ymouse rotationRadian rotationAngle _rotation ok1 gotoAndStop RotateTheAxes             "	    "    C      R  	N 
N  NG  	N N  NG    C  N  N  N  N       R  N  N  N  N       R       	 !	@-DT  O        N R         =      6   @ OT`  given   )IFAd  5a 5Ed  n9{ ?398  @39&: Af39Е    MhQX@ 
> Øh 
I ^Hn ^μΘ ^ #s ^nH ^n ^F PιմJn ^nͨHп ^}пHJJ ^nп K 	.   N ?      ų2ٙ M %@ m@      6 Nř̦4) one_more_time @ n  
   game_theta_wrong n [   o9q  El5zc@ n ?   F  principal_axes _rotation correctTheta RotateTheAxes ok1 gotoAndStop    O           R        R 
   game_theta_reveal x   O j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          n O  [ENAd  !5U7@ n ?   F  principal_axes _rotation correctTheta RotateTheAxes ok1 gotoAndStop    O           R        R 
   game_theta_correct    P j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@         correctCounter     I !   done_five_flag        n P  ųٸ9   @	MYX @  e h i k l m n u }          ?t  & CoachFlag ClearTheCircle mmc xdot _visible _x x _y y xlabel PositionLabel ydot ylabel ShowCorrectBasicCircle correctCounter b1 b2 xPix sigmaX xPixels yPix tauXY yPixels dx dy ds Math sqrt xCorrect xWrong sigmaY yCorrect yWrong GamePlotting sigma tau sigmaLowerLimit sigmaUpperLimit  GamePlotting  x y   	         I           = >       I l   N O  N O  N O    	N    
=   V      I l   N O  N O  N O    N    
=          I .  L    
               I           =   c       I           =   4       I   P         =   > CheckThePlottedPointsGame    A A     =<             =<   N N<   N N<    G<      R     H c   N O  N  N NO  N  N NO  ^   N O  N  N NO  N  N NO       =<     =<   N N<   N N<    G<      R     H c   N O  N  N NO  N  N NO  ^    N O   N  N NO   N  N NO        != >% EvaluateMouseClickGame  xPix yPix        IL        I   > "    < #            < " $HL   % "H   > # HL      #H   >      != > ?L    RevealTheCircle RevealCoords RevealC RevealR RevealTwoTheta GenerateRandomStressParameters ClearTheCircle RefreshZShape coachFlag correctCounter one_more_time _visible                    =         =         =          	    I   
 O   
  O 
   game plotting    @>d<?     concentrated_moment ?     concentrated_moment 	  Q ?  >  xlabel _currentframe gotoAndStop ylabel theC theR twoThetaP  RefreshLabels      N    I           R           R  N    I          R          R  N    I          R          R  N    I          R          R  N    I          R          R ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & d  grid_stress  ;   	  AEP 4    & 
    @     &     ?Ա    &    	      &  ;    AEP 2@    &     @    &     ?    &     `    &    & q  circle    &$ s m xCorrect    && u ԀxWrong    &( s  yCorrect    &* u yWrong    &, z acute    &2 o xdot    &4 p jydot K   6  BXxlabel     /     coordsAbove  coordsBelow       K   :  ylabel     /     coordsAbove  coordsBelow       >   ADP O     &    &?  } one    &A   two    &C  z one    &E  z one J   G  ݀theR     /     coordsAbove  coordsBelow       J   K  theC     /     coordsAbove  coordsBelow          &O  min2    &U  @ max1 O   [  qtwoThetaP     /     coordsAbove  coordsBelow          &a o  centerDot @   o    Q @ M  mmc     N   "   _parent EvaluateMouseClickGame      "     "     R   l Kŀ  8G     6t   @ OT`  given    6  QQ theZ    6 Nř8@ one_more_time @ ?     coachFlag     
   game_flag1   f9      ?S    @EP    @W    BiPNb     &    @Fe     &  !  @5t    &   AfPNwd0    &    @ y    &    ?{     &   tHh+
   r09  r09q  r09֓   n=	    ?   n97    ?   r9K    ?   r19FK@    ?   r99VK   В^9Y    ?   r0K9m    ?   r09m    ?    А^=@    ?   r09̧m@@    ?     coachFlag     
   game_flag2     ?S    @F   @X ACPNc0    @Fg4  AEPNu@    @ x,     ?z  tHh+
   r09  r09q  r09֓   n=	    ?   n97  r9K  r19FK@  r99VK   В^9Y    ?   r0K9m  r09m   А^=@  r09̧m@@                      ?     coachFlag     
   game_flag3    R j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@       $          CheckThePlottedPointsGame = e R  ř=~  9E@@ e    ?     coachFlag     
   game_flag4    S j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@                  GamePlotting = e S   H   Th|R 	> Øh 
yK6fPZ3$^ݢd #Ã;f8dm2/bմ;SvR/D3(P;Sp39s"SqW}mi*fTL2/HQ"E٨r	8LY2eJ   T@
NjO@ e ?     coachFlag     
   game_flag5 x   U j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          e U  f=~   &@ q[p@ e ?     coachFlag     
   game_flag6    V j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@                  GamePlotting = e V  H   	@ mX@ e ?*     coachFlag      RevealCoords  
   game_flag7    W j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@         correctCounter     I     done_one_flag        e W  f=~   &@ q[p@  e l t    ?)   center sigmaY sigmaX CenterOfCircle FactorOf10 radius tauXY RadiusOfCircle UserValue userCenter StripAnyUnitStrings formattedCorrectCenter Math formatDecimals bCorrect1 IsItCorrect ok1 gotoAndStop userRadius formattedCorrectRadius bCorrect2 ok2 revealAnswers correctCounter  CheckCR  revealAnswers        = <       = < 	    
=< 	K	          R<       =<           R          R     
=< K	         R<      =<           R          R  @  	         R        R L      P     > ?    RevealCoords RevealC RevealR RevealTheCircle GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues userCenter  userRadius ok1 gotoAndStop ok2 correctCounter one_more_time _visible mmc RefreshLabels                  =         =         =  	       
 R        R     I    O     O          R 
	   CR_start 7   Xpc>@ 
> M`Et&0ԝ! Et !&  qm  X '@ d<   6  @ M  mmc    Y j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@             CheckCR = e Y    Z  @       @    @  i @ Y    @     y@'
!@      y@'
!    *"    y@'
!    M@          l Zŀ  8G     6t   @ OT`  given    6 Nř9  one_more_time   ñ9@  fF,9x@  ñ9@  fF,9]   @ ti @  Y t	/   [`j.Ѕ)| 99        userRadius +123.50  [h " ɀ `HL    6 <px ok2  @   @ J64i @  Y   @ J64	/   \`j.Ѕ)| 99        userCenter +123.50  \d & ɀ `I(8   6 <pw ok1 @ e  ?    
   CR_first_try    ] j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@             CheckCR = e ]   KCNma C 9?܎[͌@ e ?    
   CR_second_try    ^ j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@            CheckCR = e ^  8C{ma E !?Y@ e ?    

   CR_reveal x   _ j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          e _  ųٸ9' G@	NVݛ @ e ?    
   CR_correct    ` j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@         correctCounter     I     done_two_flag        e `  ųٸ9   @	NXu@  e l t                ?O   center sigmaY sigmaX CenterOfCircle FactorOf10 radius tauXY RadiusOfCircle UserValue userI1 StripAnyUnitStrings correctI1 formattedCorrectI1 Math formatDecimals bCorrect1 IsItCorrect ok1 gotoAndStop userI2 correctI2 formattedCorrectI2 bCorrect2 ok2 revealAnswers correctCounter  CheckI1I2  revealAnswers        = <       = < 	    
=< 	K   G<	         R<      =<           R          R     
=< K   <	         R<      =<           R          R  @  	         R        R L      P     > ?    RevealCoords RevealC RevealR RevealTheCircle GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues userI1  userI2 ok1 gotoAndStop ok2 correctCounter one_more_time _visible mmc RefreshLabels                =         =         =  	       
 R        R     I    O     O          R 
   I1I2_start     k[S    M   kZKpC     M   m[Cp    M   kZ}C     M    a`   
> M`!&  	 a    6
  @ M  mmc    b j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@             CheckI1I2 = l b s Kŀ  8G     6{   @ OT`  given  @ ti @  Y 	+   c`j.Ѕ)| 99        userI2 +123.50  ch   Ƀ&`:HL  ^ ɀ `TJ\M   6 <px ok2  @   @ J64i @  Y   @ J64	+   d`j.Ѕ)| 99        userI1 +123.50  dd   Ƀ&`:H(8 ] ɀ `TJX)(   6 <pw ok1    6 Nř9  one_more_time   ñ->   g0    &   ffO0ʕ    &   fFe+s  ñ9  ff9    &   ffO9/     &   fFe9~B@ l  ?    
   I1I2_first_try    e j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@             CheckI1I2 = l e   KCNma C 9?܎[͌@ l ?    
   I1I2_second_try    f j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@            CheckI1I2 = l f  8C{ma E !?Y@ l ?    
   I1I2_reveal x   g j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          l g  ųٸ9' G@	NVݛ @ l ?    
   I1I2_correct    h j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@         correctCounter     I "   done_three_flag        l h  ųٸ9   @	NXu@   	 
 l s {                       ?;    UserValue userTwoTheta StripAnyUnitStrings Math abs correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal formattedCorrect formatDecimals  bCorrect IsItCorrect revealAnswers ok1 gotoAndStop correctCounter - EvaluateTwoThetaAnswerGame  revealAnswers 7      =<        R  K       	=<      R	 
        R G<       =<  &  
        R O   +  P        R            R > ?   RevealCoords RevealC RevealR RevealTheCircle RevealTwoTheta GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues RefreshZshape ShowMaxPrincipal ShowMinPrincipal ShowTheArc userTwoTheta  ok1 gotoAndStop correctCounter one_more_time _visible mmc RefreshLabels                 =         =         =         =         	=         
=         =         R     I    O     O          R 
   game_twoTheta_start     j<Zu(  hZzEp    M  V hZ=NB   6  @ M  mmc h @ `i @ k Y `   6l <0 ok1 	1   i`j.Ѕ)| 99        userTwoTheta +123.50 n iJo , Ɂ`TE|Vpp 
 Ɂ\`TAUq  ɀ _CU   j j @   i @ Y      y@'u@      y@'u    *"    y@'u    M@       #      EvaluateTwoThetaAnswerGame = r j y Kŀ  8G     6  QQ theZ    6   @ OT`  given    6 Nř̦9  one_more_time @  ?    
   game_twoTheta_first_try   sCNbq   kh<R 
> Øh0 
xӤͨHп ^ܾʴJǘʃ% #Hп ^n ^ssʐn K N* PTܾ ^ʼn͘s Rh}ns ^n ^nͨHп ^sΌƴJʹ K  k k?Pٌ@ r ?    
   game_twoTheta_second_try    l j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@       #     EvaluateTwoThetaAnswerGame = r l  8C{bq E !?N@ r ?    
   game_twoTheta_reveal x   m j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@          r m  ųٸ9f퀏 G@	NK@ r ?    
   game_twoTheta_correct    n j @   i @ Y   Z   @˟@   Z   @˟    *" Z   @˟    M@         correctCounter     I !   done_four_flag        r n  ųٸ9   @	NM}@     h k l n o p q r y     ?    
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P      od>     ar0r  o0G*U     ?  < QFTu& i @  = 35FhsExi @  "   po__   M%7g'  p@  '   qa6 $
  	 333wnwn  q  @'U  %   r`	000  M M$=´tP0 "   sX` 	 M  fvB_  *   t]_]([   f f5t Zn`|8V  $   u\`]_  M    5kZ}!Lt/
 "   vX` 	   fvB_     w]_0Z  Øh kZz(C_    x Y r =8s  e@ 
4t  s  e@ 
4u  v  e@ 
4w  r =8      printasbitmap:  _level0     x 	4   yxĘ  1  333         txtDate 12 pt Verdana  y@ A i   zp r	 	 333  (P|Bnf}n Tn_nf Tf Tf~n TpTf T_tn TfvB__*m  z &@ `	%   {w
!) M         txtName  { %@LN	1   |g+/
P1  333        txtIdentifier 999999  |  F (     30 1  }p,oHp 
> 333Eaa_Ɖ[ԼU[Լ{aaGxMND[[aԼ aƱCx> E& %!! ! !̥B $&&  2& !̥ԝ!& g&$ &r
a&%̥d g̥j! & ԝ̥! l  [y-%!& B& &̥ B&̥ !&̥ԝ l  }@ E @   