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	 .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"	 	 2     Px  /      P  /       _rz   % wW     P2	 	 8     P*Ӊ 	      P4	 	      PB	 	  	9           @8MK
@   @ H[   .@ @   .@ A7   .@ F   @8MU
   @8MZ 	  @M^`
   .@'[      ?I    v?L`  @LL_D   v@LUl  x@)_oD  @Lo/D   v@Lxl   @8GP   @8JP@   ?#      radius of mohr's circle stress  Q   ! D$   333   @;)9yq Kg<rMRΓt+eap
' 6 ?    ! centroid_target 	   "   !  @   ?    " centroid_target 	   #      @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 	   .      @GP@   ?    . subscript_lc_x ?    ! centroid_target ?  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 >$ StripAnyUnitStrings  inputString  A A A A             R<  I    #               R          <             R<  I    k   N              R      G     R  G  I > J     =   !>   J> IsItCorrect  user correct   "A #    $=     =   "#    $=    > %z?{G< &" ' '< % &     RH   >    > ?     ApplicationType     ?     done_one_flag    done_two_flag    done_three_flag    done_four_flag    done_five_flag    done_six_flag    done_seven_flag      / r!L II k{eA	] >~S6|'~8	cÆ\@IRWshl# ]^Su-ylц]@L	B*;	>5 M-GE7]c'"eI[/r l Qغѧ<>+J) d+7M[x<]:yβP-*=uii=3рX.L,=$JV3!#ҠR;뤫5;Y~79J{iü2dJ{ iS\(.Xl׽Vrgn.vd6[i6	S.wd,H)q7Q*RR@)*VM02uvNք&#gM$:roLZ`3>@$Q쐋CrK@5	ไ3dJ jiS)9=':П@ X)
 G`` y@'	 8~ /  	*   0 g2p0 M        percentLoaded 
 0 Y`@ ?   ?  percentLoaded this getBytesLoaded getBytesTotal Math floor %            R          R d        R    G          R          RH          1 PBL 	     2 XN!̀ 
     3 XM!  
     4 XN  
     5 P>L 	     6 X!Oa  
     7 XN 
  	x  8 b  1  &@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 @, 2  &@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 @ 3  &@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 @ 4  &@4>i @ @   &@4@i @  &@4i @  &@4%N i @  &@4>i @$@    @4R  &@4	ni @ԓ  &@4% i @<  &@4|&i @H@   &@4
.i @  &@4% i @\  &@4|[@i @l@   &@4
i @  &@4 i @  &@4|i @@   &@4i @8  &@48Xi @  &@4| i @@   &@4i @X  &@49 i @ē  &@4|@i @@   &@4i @|  &@49i @  &@4},i @ @   &@4i @  &@4:i @  &@4}a i @$ 5  &@4i @ @   &@4,*i @  &@4;xi @0  &@4}i @H  &@4 i @$@   &@4XZ@i @  &@48q i @P  &@4}i @l  &@4D" i @D@    @4X
   &@48t i @t  &@4u@i @  &@4DT i @h@   &@48w@i @  &@4,i @  &@4D i @ 6  &@4i @ @   &@4pi @  &@4,i @ܓ  &@4D i @  &@4i @ @   &@4p i @ܒ  &@4,mi @   &@4< i @Г  &@4#i @@@    @4p  &@4,?i @$  &@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 @  7  &@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 @  @    8 )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @  
 ?D    theta principal_axes _rotation correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal correctTheta bCorrect IsItCorrect AttemptsTheta  CheckTheRotatedElement       N<       =<      	      
=< 	 
    %      H 
        > ?    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   >      "= > ?    ClearTheCircle ShowTheCircle xPix yPix mmc xdot _visible sigmaX xPixels tauXY yPixels _x _y xlabel PositionLabel sigmaY ydot ylabel center CenterOfCircle cPix dx dy ToCenterPixels Math pow t targetX targetY symbol factor scaled unscaled circle xCorrect xWrong yCorrect yWrong theC theR max1 min2 twoThetaP centerDot posArc negArc one text FactorOf10 two three RevealTheCircle theCircle radius RadiusOfCircle _xscale _yscale 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 gotoAndStop normalX normalY deltaXY normalx normaly shearXY sqrt twoThetaPrincipalRadians shearxy atan2 twothetaPrincipalDegrees sigma1 sigma2 abs 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  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  'N  O  (N  O  )N  O  *N  O  +N  O  !N ,N  O  !N -N  O  .N /0    O  1N /0 
   O  2N /0    O > ShowTheCircle     !N O 3    !N 4N O    !N 4N  O      =<  !N     O  !N         O 5	      6=<  !N 75 d   O  !N 85 d   O 9	      :=< ;9	 !	@-DT    <  !N <        9O  +N O  +N  !N NO  +N  !N NO  = 0O  >5 0O ?Fߑ?9R !N <N    < ??	 !	@-DTG ?     &N    @=         ;	 !	@-DTG 5    =	 33?3333  'N    @= > ShowTheArc     ?A  !N <N	         H 9   !N ,N  O  !N -N O            !N <NH 9   !N ,N O  !N -N  O 4   !N ,N  O  !N -N  O  !N ,N <         !N <NO  !N -N <         !N <NO  *N O  9         !N <NO ?Fߑ?9R !N <N     5	      6=< ? 5    =	   ?        G  *N    @= > ShowMaxPrincipal      (N O      =< 5	      6=< A 5G    =<  (N AO  (N         O > ShowMinPrincipal      )N O      =< 5	      6=< A 5    =<  )N AO  )N         O >7 PositionInTheCircle  theInstance radialPix angleRad   B O B  !N N C D     ERGO B  !N N C D     FRGO ># GenerateRandomStressParameters    G< H< I	< J	         I   K L    +  J    I   K    L    0
    MK    < NL    G<   ?    N M    O=  GI    ?    N M    O=  IL    HI  	  ?    
      O= 	 IIL           	 IH  P	      Q=< P  0    R=         S=      =< 5	      6=< T         > RefreshStressElement   ^  U  0O U  0O U 		 0O       U VR > RefreshZshape      H N          	H         W XR         W XR I          	H         W XR         W XR ># CenterOfCircle  normalX normalY    Y ZG    < >+ RadiusOfCircle  normalX normalY shearXY O  [\ ]    < 5[ [ ^ ^G     _R< 5>. TwoThetaPrincipal  normalX normalY shearXY _  [\ ]    < `[ a     bR< c`    	 !	@-DT< c> PrincipalOne  center radius   d 5G< d> PrincipalTwo  center radius   e 5< e>2 IsTheCircleAcceptable  normalX normalY shearXY  Z Y    =< 5^ Z Y    6=<   @    5H    > ^     fR    HL   5    H    > C  ^     fR    HL   5    H    > 9^ Z Y    :=< 99     fR	 gZ   9     fR< g    H    > d5     h=< e5     i=< jd    k=< le    k=< jL   l   >    > NormalWithinBounds  sigma F  m KHL   L mH   n<   n < n>! MakeStressStrings  FactorOf10 V  o 0    p= q 0    p= r	 0    p= > ShowGivenValues   2  s ooO s qqO s rrO > FormatStress  value n 	 t   u     fR     vR< u	         H   twtG   txtG t> PadString  string maxLen   yz {N< | < y }I   | ~ <            z R wI   ~ y }H >  zzG ~   zzG ~~ yyP  |L   }    H   z      z R z>& PassValuesToMohrMC  mohr errorcode  A \< ]< a	< [\ ]    < \ ]G    < 5[ [ a aG     _R< 	 !	@-DT    <	         ER<	         FR< d 5G< e 5<  [ G a G<         [  a G< d eG <   ?    [ a     bR<   ?    a         [     bR<  \O  ]O  	aO  55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      9 oA": @@ ٠8N  9 ݀ @ ~0?`   : uYޚ    x Øh5Rj 6@ VTO	3@T]V_e& Ԛ\ K R	PI  : QFTu& i @ ?/   ; lIPkvD, ( Øh%9 n  ( Øh%  ; 35FhsExi @ Q  < x z  9m9V;3Tqz
k$=				+
^
n


i.V8|# 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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$bcJq#,Ű 5IQuGk}D4ݬ#?໛pnzS[8 5N<ј_l3	@0 
c5p	Of>> V K   < Sui Generis !&'(),-.0125:ABCDEFHILMNOPRSTUWYabcdefghijklmnopqrstuvwxyz<   = oY   < hP dRҤ)؃ НPHW܊W* ?D   > \     3 o h kU*JkmZ-[X  %ա+` JҪ i   ?   :  !iޘ  ;    @  =   "@-    M =   "@(l>  zj@ =   "@-h    =   "@(l    *" =   "@(l    M>  }}j@         ? ŀ  4/P I   @ oԕ  < hP] jJHY`НPH@ *	BDTh    A   :  !iޘ  ;    @  @   "@9    M @   "@>  zj@ @   "@9h    @   "@    *" @   "@    M>  }}j@      t   A f9 C   B oLP C < hP /5!H\0 НPH@ *	$f     C   :  ޙޘ\  ;   B   @̬K9    M B   @̩>  z˕ B   @̬K9h    B   @̩    *" B   @̩    M>  }}         C ųH٨=  b   D vk 9Z   < MMAްVѨz wmzá`dc9  .A=1{zØ PU,)UF3BH[   D   @t  D   @sp    & @     ?    
   background f   E x5Ԁ 
< M`&=j!$ȥ&&  Н& ]&%ȥ9 gȥj! & g&!ȥНg!  E  @>d< : N  9   F m)\  Øh        -jed9Uk!sN)@  F  N ?    ! centroid_target  ! BPD.     G o9p  < %@*o@V  G N    H Xse- 
 [XȀ  H "@   I X	rej  
 [XÀ  I . #   J noS  < %LIT﫛n 	 J N    K `#(I 
 [Xȃ1 
 K @   L `I 
 [XÃ1  L  
 BPJ&  M x 5@BX 
< Øh @9	̿̿ǵHΜ ^n̈́n ^n͔ ^εʸn̿ ^ʸΐ ^sΐǌn ^Θc ^HΔsnH ^Θc ^ʸ ^sʄ ^s U  #<μ ^ʈƼn ^snͼΜͼθ΄ʰJ ^μsʤH΄n ^Ô̿ ^ ^ʸΐ ^Q ^n͔ ^εʸn̿ ^  P/ʸΐ ^sΐǌn ^Θc ^HΔsnH ^ʈƼn ^Δ ^Ô̿ ^F ^ʸΐ ^F  }% ^Ɣ ^ʔnsHΔʐ ^csε ^n͔ ^ǄnHθ̿4L  M  @ *p   @8M   w@8M   w@M$   N Pmx  /    N w@'"  N w@'({    @8M,    @8Mq     ?6    v?MA#  @M7C    v@M<   x@)@ˇ   @MH    v@MM{     @'Tc   .@'c  
   ?is   @8M|c      @8N@!    @NBp"    @'E #  .@'M $ 
   ?P% N w@') &   @8M  '  w@8M%R (   @8M,     O Xtxy   %!gG ) O l *    ?MA +  @M7B,    @M<-   @M@¥.  @MI/    @MNb0  @NU 1    ?^ 2   v?Mi3  @M` 4   v@Md 5  x@)i 6  @Mqz 7   v@MvJ 8    @'}2 9  .@'GP: 
   ?J ;    @NM<  @8NR=    @8NTp@>    @NVX0?    @'X@  .@'`A 
   ?chB   @8LAC  w@8M%R D N w@') E   @8LY'F O G    ?MA8 H  @LnI    @Lx':J   @M@ĀK  @MIĀL    @MNa΀M   @8MU N    ?^ O   v?Mi8P  @M` Q   v@Md R  x@)i S  @Mqy T   v@MvI U    @'}1 V  .@'GPW 
   ?J ~@X  .@'MY  @8NRZ    @8NTp [    @NVX\    @'X]  .@'`^ 
   ?ch~@@ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ?    ! centroid_target ?i   P e}" ( Øh%kIp h-i' 
& ٶh` kfh 
 &I ( Øh%F > ( Øh%!tL 1   Q g% 	< ØhE,{t #CrV-  s   R  j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        _ R  @ _ ?    ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target   S x u B@ 
< Øh *tӠ͔s ^äH̿n̿ ^θΔ ^̿n ^Θc ^Ô̿ ^[s ^ͤH ^n͔ʃ  #>εʸn̿ ^Θc ^HΔsnH ^Θc ^ʸ ^sʄ ^s ^äHǵ ^ʸΐ ^HΤHǵ K ^ ^tӠ͔̿ ^  PBÔ̿ ^s ^ʰJJʐ ^n͔ ^sHΌHՄʰJ ^Ô̿ ^Θc ^ʸ ^sʄ K ^ ^tӠ͔ ^ظʰJǔ̿ ^Θc ^n͔ ^  }9äHǵ ^ʸΐ ^HΤHǵ ^εʸn̿ ^Θc ^HΔsnH ^ʸ ^Ɣ ^[Ǹΐ ^csε4L _ S  @ Q`  &@8N	m   T P0x 	 /  a T  @8NՂ@b   @8NIc  @8NA   U P x 	 /  d U  @8N@   V P(
h   e V  @N	f O  @ a}@g   ?N!-@h  &@Nq`i   @Nisj   @N q`k  &@N%)q`l   @N'sm   @',	n   @ /U}@o  @8NLЏp   @ /l q   ?@ 7!m`r   ?@ Gm`s   ?@ Iqt  #@8NQu   @8NT9@v   @NV!0w   ?@'T}@x   ?9a}@y   ?N>`z  @N:q{   @N<it |  @)>q}  @NBq~   @NEt @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ?    ! centroid_target  R # @  ?    ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target    W w銀*  	< Øh m+*T,Ԓ6\J p3ee ^zU@p^VVk   #C6VP$\΍{I#,	@epÕ,r/   PΒDeH +CpYW3/Bʹ;6Tӳi$ls8Ln\&   W @ QЏ   @&e   ?@Nj%   @NU  * @&c	  p@&]  
  ?N`    X aӺ p  %nuy(  X  ?N_  @nUʀ   @p   @)sʀ  @w	ʀ   @yq    ?o  &@&sy   @&u@   ?wɰ0@ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ?    ! centroid_target w   Y  j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        .   Y - @       	 
                        ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o q r s t u v w x y z { | } ~                   ?(    FactorOf10 
     sigmaX      sigmaY      tauXY      RevealTheCircle !          ShowCorrectBasicCircle =          ShowMaxPrincipal =          ShowMinPrincipal =  RevealCoords    RevealC    RevealR    RevealTwoTheta            ShowTheArc = 
   introduce the circle ?Y  Z wiH  Øh%td[Exx40~Vx40
 h`{Xx40=ѐ<7@Bsh\΢߹ڃpYsи,;Ph\9и*  Øh Øh%@-hd%-%ryx0KPh`%C Z%-dj%-KZ̀eл   Øh%ЗšZ	yx0pš   Øh Øh%BBha < Øh% š  < Øh%7@ 	   [   Z  @   ?T  \ wie0k   Øh%d|gQ>-CYx-Ũ<Qj<G x5 #<H2d|R 	`j@^H|2   Øh%d|AQ   Øh Øh%Șel \!+ok %mԀ-WZ`R j@V-HѐJũ Z	[x Ũ[	[x v+onp%my-󄭯   Øh%Еũ Z	[x @ < Øh% ũ  < Øh% 	   ]   \  @    =   ^ mBUN	     \ڳ'2 *0 ̳66̋%W<I j   _ e'&( M   mI
 AAPQTU9ؖ*?Vbc 	g}?u]fY Yin  < Øh%z Ā	   `   _  @ @ ?    @    =   a mB     ?f¡˙+P	#QFnf $` eTdw/  ?m   b e%  M oĕ   ef.ڎ~eYW!z*+* h`V?,T0OT>  < Øh%z Ā	   c   b  @ @ ?    @   ?x   d Tl     H˜u ) )gYgZz V Vθ0u0 u|  
 M%H˜u ) )gYgZz V Vθ0u0 u 	   e   d  @       f T`( 
 M%Sc  0   g <G^ M dI .JKҜ	'뤾(	ѺDd	   h   g   ?x@   	   i   g  @   	   j  F ^ 32f`     & ` Oڟ posArc F a 32f` 
    & c Oڟ negArc    & e  theCircle  f   h   <  i     @    b   k UިX Sr HTkVzZMsNӂ]7mU@)j`$TQ6HLCy5W]l!  	   l   k  @ @ ?    @   ?C   m UP gg B"o47;W7[=dnWzQ޲+Lni]` 	   n   m  @ @ ?    @      o P	 	   5   p DCC  
yQ P9%n:Pݕ@%d0 n  q  
 p    . V  _parent RevealCoords FactorOf10 sCoords ( sigmaX , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N G G            N NH   	 
   
 	   	 
      coordsAbove  coordsBelow     ?	  r  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   s h} 1r  Ƈ        coordsAbove (123.4,-567.8)             	D   t h} 1r  Ƈ        coordsBelow (123.4,-567.8)             	@   u  ?     o   q   u s L<։ t L @      v PՉ
 	  z  w  
 p    : V  _parent RevealCoords FactorOf10 sCoords ( sigmaY , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N  G G    N N	         H   	 
   
 	   	 
      coordsAbove  coordsBelow     	D   x h} 1r  Ƈ        coordsAbove (123.4,-567.8)             	D   y h} 1r  Ƈ        coordsBelow (123.4,-567.8)             	@   z  ?     v   w   uU x L<։ y L @   	&   { `
P1r  Øh        text 1000 	   |   { P{x@   	&   } `
P1r  Øh        text 1000 	   ~   } P{x@   ?    
 p      \  _parent RevealR sCoords R= theRadius Math formatDecimals this _y coordsAbove coordsBelow      N N s       N     RG  N	         H   	 
   
 	   	 
      coordsAbove  coordsBelow     	D    h} 1r  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1r  Ƈ        coordsBelow (123.4,-567.8)             	E     ?       @8IU@  ̟ X  L<։  L @       
 p      H 
 _parent RevealC sCoords C= theCenter this _y coordsAbove coordsBelow      N N ]    NG  N	         H    	    	   	 	      coordsAbove  coordsBelow     	D    h} 1r  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1r  Ƈ        coordsBelow (123.4,-567.8)             	E     ?     $  @8IU@  @ uUG!  L<։  L @    ;    PxO @@  @$0 H$@4 Æ4M4L 408P 	K          h ɀ _         @8J% U  @8J`@   	H         h ɀ`           @8J%Ў T  @8J?P@   _    
 p     h  _parent RevealTwoTheta sCoords twoThetaDeg Math abs formatDecimals  this _y coordsAbove coordsBelow      N N  	      N     R     R G  	N	         H   
     
   
       coordsAbove  coordsBelow     	D    h} 1r  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1r  Ƈ        coordsBelow (123.4,-567.8)             	d     ?     *  C@8I+X@  @8IN@ 
 ,'y%  #3A_  L<  L!^@   	    ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & [  grid_inertia    & ]  grid_stress    & j  circle    &! l m xCorrect    &# n ԀxWrong    &% l  yCorrect    &' n yWrong    &) h xdot    &+ i jydot L   - u  xlabel     /     coordsAbove  coordsBelow       L   3 z  ylabel     /     coordsAbove  coordsBelow       9  @8Neh     & :    @8Ng    & ;  @8Nk     & <    @8Nm    & = V   @Ni     & > 9  ?  @8M    & @    @8M    & A    @M\@    &    &B | } one    &D |  two    &F | three    &H ~ one    &J ~ `one J   L  `theR     /     coordsAbove  coordsBelow       J   R  theC     /     coordsAbove  coordsBelow          &X  min2    &^  : max1 O   d  qtwoThetaP     /     coordsAbove  coordsBelow          &l h  centerDot @      6  ŏ\Ǯ8$΀. mmc z   x tB 
< Øh <tӠ͔ ^sʌʐʤHΜ ^ǄnHθ̿ ^ ^Ɣ ^ss̿ʸnʐ ^sՠͤHʰJJ ^ ^ ^  #?ʤHʜsʵ ^ʰJJʐ ^]Πs(̿ ^HsJ K ^ ^TJ̿nʄʐ ^Θc ^ ^̿ՄnHʰJ ^μsʤH΄n ^  P<̿̿nʵ ^L̿ǌ ^̿ ^ ^ʸΐ ^SQ ^]Πs(̿ ^HsJ ^H̿ ^θ̿nsǌnʐ ^Hn ^  }9εʸn̿ ^Θc ^HΔsnH ^հJnnʐ ^ʰJθΜ ^n͔ ^ͼsH貼θjʰJ ^äH̿ ^ʸΐ ^  4sΐǌn̿ ^Θc ^HΔsnH ^հJnnʐ ^ʰJθΜ ^n͔ ^ظsnHʰJ ^äH̿ K p   @ *p@ @ @ @ @ @ @ @ @ ?    q R 7 @ q ?    @ @ @ @    p *$ 
< Øh  hΤHn̿ ^θ ^n͔ ^HsJ ^ss̿ʸn ( #εƤH΄nHθ̿ ^Θc ^εʸn ^ʸΐ ( P!sΐǌn ^Θc ^HΔsnH ^n̈́n ^äH̿n ^n (Y}ظsH̿ ^sHʸjnHθ̿ K q   @\8 @ @ @ @ @ ?    r R A @ r ?    @ @ @ @ y    h)xQ 
< Øh  tӠ͔ ^ʸns ^A ^Θc ^]Πs(̿ (2#HsJ ^H̿ ^JΌnʐ ^n4L r  ]9~ s $  @OHEďt   @OJEĊu O  Hv    ?OOIdw  @OMPB,x    @ONB̏y   @OOB,z  @OQB,{    @OSB@ @ @ @ @ ?    | R K @ | ?    @ @ @ @ u    hQ+ 
< Øh  tӠ͔ ^sʐʤH̿ ^l ^Θc ^]Πs(̿ (@#HsJ ^H̿ ^ͤHظʸ ^4L |  ]9e }  `~   @8ONv`   @ @[$   .@ C[t   .@ K[t   .@ M \|  @8OP`  @8OR$`  @OS`   .@'Rb_l    ?D_l   v?OGc  @OE
\|   v@OF>]  x@)Gl\|  @OId\|   v@OJ]   @8Nw0   @8N|	0@ @ @ @ @ ?     R U @ p q r s t u v w x y z { | } ~                   ?    @ @ @ @    BX  
< Øh 9tӠ͔ ^͔ʼεns ^Θc ^n͔ ^HsJ ^ʸ ^Ɣ ^̿ʐ ^n ^[ʌHJHjn ^n͔ ^  #?ʰJǰJnHθ ^Θc ^ظsH̿ ^sՔsnH̿ K ^ ^Lؼs ^ÄʵհJQ ^n͔ ^ظʰJǔ̿ ^Θc ^  P8n͔ ^äHǵ ^ʸΐ ^HΤHǵ ^εʸn̿ ^Θc ^HΔsnH ^ʸ ^Ɣ ^[Ǹΐ ^  }=csε ^n͔ ^ռΤHn̿ ^͔s ^n͔ ^HsJ ^s̿̿̿ ^n͔ ^ͼsH貼θjʰJ ^äH̿ K p   @ *p@ @ @ @ @ ?    q R _ @ q ?    @ @ @ @ y    p *8 
< Øh  tӠ͔ ^äHǵ ^εʸn ^Θc (#HΔsnH ^H̿ ^[Ǹΐ ^csε4L q   ?f     nИQU  
< Øh  ʸΐ ^n͔ ^Hǵǵ ^εʸn (
#Θc ^HΔsnH ^H̿ ^[Ǹΐ ^csε4L r   ?x@s $  @OLF-Dt   @OI-Du  @8OG-Dv T   @8OHH-w    @ONv-Dx    @OP-Dy $  @OL?̏z   @OJ6?̏{  @8OGh?̏| U   @8OH@l}  .@'N?̏~    @OP?@ @ @ @ @ ?     R i @  ?    @ @ @ @    nfT[ 
< Øh tӠ͔ ^sHʸjnHθ ^Θc ^n͔ ( #sHΌHՄʰJ ^Ô̿ ^ʸ ^Ɣ ^[Ǹΐ (zP̿HΜ ^n͔ ^HsJ ^͔ʼεns (}ʸΐ ^μnHΜ ^n̈́n ^ʸΜͰJ̿ ^H (]Πs(̿ ^HsJ ^s ^ʼǈưJ (_ʸΜͰJ̿ ^LM̿n ^JH ^n͔ (nsʸ̿[snHθ ^ǄnHθ̿S K    )?NwE`@ @ @ @ @ ?    x     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>            s @   p q r s t u v w x y z { | } ~   ?    
   coach_start %    `+@ 
< Øh ,ܼݵ4       >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>            ŀ  8Gt c    p<H 
< M`%At&!%g&$ &ȥ ]&%ȥ9 gȥj! & g&!ȥНg! 
   @>d<    x z@K 
< Øh 9TJ ^n͔ ^[ΰJJHΜ ^̿ʸΔ̿Q ^ ^HJJ ^Jʄs ^Ƅ̿H̿ ^Θc ^]Πs(̿ ^  #?HsJ ^Θc ^HΔsnH K ^ ^9	 ^̿n ^Θc ^HΔsnH ^ظʰJǔ̿ ^ss̿ռθΐʤHΜ ^n ^ ^  P5̿̈́Ք ^HJJ ^Ɣ ^̿ͼ ^H ^n͔ ^Քs ^sH͠n ^sΔs ^Θc ^n͔ ^  }2̿ʸΔ K ^ ^y ̿HΜ ^n͔̿ ^ظʰJǔ̿Q ^ ^HJJ ^Jʄs ^ͼ ^n4L( 8 ^ ^հJn ^]Πs(̿ ^HsJ ^[s ^̿ՔʌHcHʐ ^εʸn̿ ^ʸΐ ^sΐǌn ^h
Θc ^HΔsnHʃ( ^
( ^ ^ʰJǰJn ^n͔ ^ʸns ^Θc ^]Πs(̿ ^HsJʃ( ( ^ ^ʰJǰJn ^n͔ ^sʐʤH̿ ^Θc ^]Πs(̿ ^HsJʃ( 0 ^ ^ʔnsHΔ ^n͔ ^äHǵ ^ʸΐ ^HΤHǵ ^εʸn̿ ^Θc ^h?HΔsnHʃ( 6 ^ ^ʔnsHΔ ^n͔ ^ʸΜͰJ ^csε ^n͔ ^ ^äH̿ ^n ^n͔ ^äHǵ ^hsHΌHՄʰJ ^äH̿ ^H ^]Πs(̿ ^HsJʃ(  9 ^ ^nsʸ̿Jn ^n͔ ^ʸΜͰJ ^[Ǹΐ ^H ^]Πs(̿ ^HsJ ^n ^n͔ ^v ^hM&̿ՄnHʰJ ^μsʤH΄n ^̿̿nʵ ^[s ^n͔ ^sʄ   @ m|w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        u    t @  
   ?     sigmaX           sigmaY           tauXY         )          GenerateRandomStressParameters =          ClearTheCircle =          RefreshZShape =  coachFlag           RevealTheCircle   RevealCoords    RevealC    RevealR    RevealTwoTheta   
	   generate 9    h  
< M`iYj&ННg&$  !&  B    @>d<	    ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & [  grid_inertia    & ]  grid_stress    & j  circle    &! l m xCorrect    &# n ԀxWrong    &% l  yCorrect    &' n yWrong    &) h xdot    &+ i jydot L   - u  xlabel     /     coordsAbove  coordsBelow       L   3 z  ylabel     /     coordsAbove  coordsBelow       9  @8Neh     & :    @8Ng    & ;  @8Nk     & <    @8Nm    & = V   @Ni     & > 9  ?  @8M    & @    @8M    & A    @M\@    &    &B | } one    &D |  two    &F | three    &H ~ one    &J ~ `one J   L  `theR     /     coordsAbove  coordsBelow       J   R  theC     /     coordsAbove  coordsBelow          &X  min2    &^  : max1 O   d  qtwoThetaP     /     coordsAbove  coordsBelow          &l h  centerDot @   k      @  u mmc     J      _parent EvaluateMouseClick      "     "     R   4    X ]  	< Øh ,͛[*n@0 #Crnl w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>        }  p  u w  ŀ  8G u 	+    g!1r Øh        sSigmaX +123.5 	+    g!1r Øh        sSigmaY +123.5 	*    g!1r Øh        sTauXY +123.5 	c     : ޙޘ\   ;  @ @  @8L    &     @8L     &    @8L`    &   @'@  @8L    & 	    @8LB    & 
   @8Lb    &   @'B  @8LN    &     @8Lv    &     @LDu    &    @8LdN    &   @'DN@      6   @ OT` u given ?    ! centroid_target  9    m)\  Øh        5Ajb9UkNV[@ ?    ! centroid_target ?    ! centroid_target ?    ! centroid_target 	     ?     :   F   ? ! ̀ /  G   H ր I )A@ ?      
 ̀ 0 @@ ?       @ 
 ΀ 0  @ ?        
 ΀ P  @      6  QQu theZ @ ?     coachFlag     
   flag1     n	-2 M `' jm'  hq&&v )h 'mRf -٦m   s00  @`fe  ` hID 
@IĚI   iIh f    f=~    hoQ 	< Øh ia*vʒ< 	 <   *tʒ< 	 H<   #
Y*&4	@7PͤP{:E٨rA,     ?Nk]bP@ ?     coachFlag     
   flag2     hxzQ  	< Øh ia*vʒ< 	 $<   *tÝ% < 	 H<   ?#
Y*&4	@7PͤP{:E٨rA,    ?Nib`@ p ?     coachFlag     
   flag3 1    ` 
< Øh ,ʠܔٌʬʃ#4      j >   i @ P      y@'u>      y@'u    *"    y@'u    M>                  CheckThePlottedPoints = p  x  ř=~b    `B 
 
< Øh  
AJH ^n͔ ^٨rz #͔ʌ ^ʄØh ^\Pnnθ K   9E@@ p ?5     coachFlag AttemptsToPlot       P 
   flag4 3    `,H 	< Øh ,󗈃 #;n$ۛ      j >   i @ P      y@'u>      y@'u    *"    y@'u    M>                  CoachPlotting = p  y  H    h|R  	< Øh 
uC6VP$\ݚd #{;V8dmҲ/`հ{;CvYR2/B+( P{;CpZڱ$hnz5yeFA,W}ia*VT,/FI"5k٨r%
ݑϗYSaeRHA,   @
NjO@ p ?     coachFlag     
   flag5      j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  CoachPlotting = p  z     hNR 
< Øh4 tӠ͔ ^ռΤHn̿ ^sʃ# ^̿nHJJ ^μn ^հJnnʐ ^-PssʌnJQ ^n ^JnF̿ ^}θnHǔ K ^ ^AJH٨r	ͼ ^ʠ͔ʄʐ K   @
NgO@ p ?     coachFlag     
   flag6      j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  CoachPlotting = p  {     h'TR> 
< ØhU aHʰJ ^ʼθΔF #AJH ^٨rͼ ^ʠ͔ʄʐʇØhPn ^s0}]ΠsF̿ ^HsJ K    	@ mX@ p ?*     coachFlag      RevealCoords  
   flag7 w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        }  p  |  f=~    hR@ 
< Øh  tӠ͔ ^ssʌn ^ ^Q #]ΠsF̿ ^HsJ ^ P̿ͼǰJ ^Jμά}
JH ^nͤH̿ K    &@ q[p@  p w     ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =  userCenter     AttemptsCenter           RevealCoords  
   center_start G    p/ >@ 
< M`At&0Н! gȥj! !&Н!ȥ At    @ d<   6  @  } mmc #    ` ` 	< Øh,swC  /    \|Y      kEhhRhZ[V$.ΣGCp      j >   i @ P      >@rK>      >@rK    *"    >@rK    M       &  AttemptsCenter EvaluateCenterAnswer    P         = p  `} w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          w  } ~  ŀ  8G }    6  QQ} theZ    6   @ OT` } given 	/    `j.Ѕ)r 99        userCenter +123.50   J $ ɀ `CU  ř97(    h	Q  
< ØhA  Hns ^n͔ ^ؾʰJǔ ^ #cs ^n͔ ^ʸns ^A E=PΘc ^n͔ ^HsJ K     ?NPͰp  +ѫ9     hcSjR  
< Øhw ]ؾ ^n͔ʃ#s̿s ^ؾs0PÄØh ^ʸΐ ^Øh ^n΃@}sؾʄʰJ ^n͔ ^μsʤH΄n̿ K   9hZ@ ?    
   center_wrong  3OI"a    h\Q  
< Øhr  tӠͤH̿ ^ؾʰJǔ ^H̿ ^HΌssʌn K ^ <w #lʌʰJJQ ^n͔ ^ʸns ^A ^Θc ^ Pn͔ ^HsJ ^H̿ ^ͤHؾʸ ^4L    ?| $  @NĀ   @N9Ā O  @    ?N%   -@N q    @N"ٸ   @N%1   -@N)    @N,@ p w          ?    
   center_giveup p > `i @ s P `t R   f8    hKVRX  
< Øh A ^H̿ ^̿nHJJ ^μn ^"#ssʌnQ ^n ^JnF̿ ^[PθnHǔ K ^ ^AJH٨r }	ͼ ^ʠ͔ʄʐ K   #9 @ t ?   _ 	 correctCenter sigmaY sigmaX CenterOfCircle FactorOf10 userCenter Math formatDecimals RevealC        = <	          R  
   center_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          t    f9yW	     hhRX  
< ØhS tӠ͔ ^ssʌn#ؾʰJǔ ^cs ^n͔ ^ Pʸns ^A ^H̿ ^̿ͼ K :  }AJH ^٨r	ͼ ^ʠ͔ʄʐ K   @ F @ ?     RevealC  
   center_right  ų2ٙ97@t    hxBbX  
< Øh 	AssʌnFF#aH ^sFFPAJH٨r }	ͼ ^ʠ͔ʄʐ K    	@ Mٞ@  p s t ~      ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =  userRadius     AttemptsRadius           RevealCoords   RevealC   RevealR   
   radius_start G    p>@ 
< M`At&0Н! gȥj! ȥ! g mm    '@ d<   6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M       &  AttemptsRadius EvaluateRadiusAnswer    P         = p  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          w   ~  ŀ  8G     6  QQ theZ    6   @ OT`  given 	/    `j.Ѕ)r 99        userRadius +123.50   J  ɀ `BU ţ97     hQ  	< ØhA  Is;Ct`7P͕{e,	Ze ^4 #{;#3ee ^*FU$X/6 =P1/F5턩YD     ?NOMP  +ѫ9   9hZ@ ?    
   radius_wrong  *K"a    h\Q  	< Øhr  uC6Fk/eXJՏ+($$\΍{{;#G9YQt7K   #m+*5,	V(^C6VPpeRHՏo׳1^ PC6VP״29ƽ+($fH}+*pܸM&     @N|   @  @?N/mp   @   F@    F@*    F@,   *@?N4a`   @?N6   @N8Џ   F@.7E   ?   ?N!   @N    @N  @0!U   @N%E    @N'  @?N
`   @?N`@ p w                    ?    
   radius_giveup p > `i @ s P `t R   f9@    hKVRX  
< Øh l ^H̿ ^̿nHJJ ^μn ^"#ssʌnQ ^n ^JnF̿ ^[PθnHǔ K ^ ^AJH٨r }	ͼ ^ʠ͔ʄʐ K   [;@ t ?   e 
 correctRadius tauXY sigmaY sigmaX RadiusOfCircle FactorOf10 userRadius Math formatDecimals RevealR         = <	          R 	 
   radius_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          t    ų2ٙ9     hDURX  
< Øh tӠͤH̿ ^ؾʰJǔ ^H̿C#n͔ ^ssʌnPsʐʤH̿ ^l K ^ ^AJH٨r}	ͼ ^ʠ͔ʄʐ K   =@@ ?     RevealR  
   radius_right  ų2ٙ9w   	@ M @  p s t ~        ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =
  userI1     AttemptsI1           RevealCoords   RevealC   RevealR  

   max_start '    h   
< M`At&0Н!       PMH < 	    kZNX     M  )    FT0  t-]KBilVOe   kZKpC     M    6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M         AttemptsI1 EvaluateI1Answer    P         = r  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          y     ŀ  8G     6  QQ theZ    6   @ OT`  given 	+    `j.Ѕ)r 99        userI1 +123.50   J  Ɂ`TBU T ɀ `TDdVp  f9z    hR@ 
< Øh  Hns ^n͔ ^ؾʰJǔ ^. #cs ^n͔ ^äHǵ VP
εʸn ^Θc ^}HΔsnH ^ ^ ^ K   ;  +    &       &   +ѫ9     hvR  
< Øhw ]ؾ ^n͔ʃ#s̿s ^ؾsPAØh ^ʸΐ ^lØh ^n΃@}sؾʄʰJ ^n͔ ^(ؾʰJǔ̿ K   9h^@  ?    

   max_wrong  Fn$A    hRX 
< Øh tӠͤH̿ ^ؾʰJǔ ^H̿ ^? #HΌssʌn K ^ ^lʌʰJJQ ^n͔ ^P PäHǵ ^εʸn ^Θc ^ }HΔsnH ^ ^ ^ ^H̿ ^ͤHؾʸ ^4L    +@N		 $  @N#!Ѐ   @NYЀ  -@?NЀ T  @?N%    @N'Ѐ   @N,EЀ   @p    &    @    & @ r y        ?    
   max_giveup r > `i @ u P `v R   f9z   =@    &   J@    &     h(RX  
< Øh  ^ ^ ^H̿ ^̿nHJJ ^μn ^\ #ssʌnQ ^n ^JnF̿ ^ PθnHǔ K ^ ^AJH٨r:}	ͼ ^ʠ͔ʄʐ K   K8@@ v ?   d 
 correctI1 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 userI1 Math formatDecimals        =       =G <	          	R 
   max_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          v    AVP      h.XHR 
< Øh  tӠͤH̿ ^H̿ ^n͔ ^ssʌn ^|#ؾʰJǔ ^cs ^n͔ ^ PäHǵ ^εʸn ^}Θc ^HΔsnH ^ ^ ^ K ^ ^AJH٨rC	ͼ ^ʠ͔ʄʐ K   @<@@   ?    

   max_right  ų2ٙ9   	@ Mu`@  r u v     ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =
  userI2     AttemptsI2           RevealCoords   RevealC   RevealR  

   min_start     PtH 	< 	       6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M         AttemptsI2 EvaluateI2Answer    P         = r  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          y     ŀ  8G     6  QQ theZ    6   @ OT`  given 	+    `j.Ѕ)r 99        userI2 +123.50   J U  f9z       &   ۼ    &     hTR@ 
< Øh  Hns ^n͔ ^ؾʰJǔ ^i #cs ^n͔ ^HΤHǵ ^P
εʸn ^Θc ^}HΔsnH ^ ^ ^ ^ K   9@  ?    

   min_wrong  Fn$A    hXRX 
< Øh tӠͤH̿ ^ؾʰJǔ ^H̿ ^? #HΌssʌn K ^ ^lʌʰJJQ ^n͔ ^ PHΤHǵ ^εʸn ^Θc ^g }HΔsnH ^ ^ ^ ^ ^H̿ ^ͤHؾʸ ^4L    +@N		 $  @N#!Ѐ   @NYЀ  -@?NЀ U  @?N%   F@.'Ѐ   @N+Ѐ   @up    &    @m    & @ r y        ?    
   min_giveup r > `i @ u P `v R   f9r  4     &   A     &   / @ v ?   d 
 correctI2 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 userI2 Math formatDecimals        =       = <	          	R 
   min_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          v    FfN"a  Dv` B`    hY:R 
< Øh  tӠͤH̿ ^H̿ ^n͔ ^ssʌn ^|#ؾʰJǔ ^cs ^n͔ ^ PHΤHǵ ^εʸn ^Θc H}HΔsnH ^ ^ ^ ^ K ^ ^AJH٨rC	ͼ ^ʠ͔ʄʐ K   @0@   ?    

   min_right  ų2ٙ9   	@ LQp@   r u v          ?9  !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =  userTwoTheta     AttemptsTwoTheta           RevealCoords   RevealC   RevealR   RevealTwoTheta            ShowTheArc = 
   twoTheta_start 3    hԀ 
< M`At&0Н! !&$j!       Pǰ 	<  X   j<Zu(    PmP 	< 	    hZzEp    M  b    P o
  -eF@)/J`6'$뀟f@'J6$hR$dݱ"0l2g_35\{>ײ#^&1   hZ=N@ `    M    6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M       *  AttemptsTwoTheta EvaluateTwoThetaAnswer    P         = s  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          z     ŀ  8G     6  QQ theZ    6   @ OT`  given 	1    `j.Ѕ)r 99        userTwoTheta +123.50   J * Ɂ`TE|Vp  Ɂ\`TAU 
 ɀ _CU  L즆9F q    hPQ 
< ØhW 
Hns ^n͔ ^# #ʜ͸ΤHnǐʔ ^Θc K PʸΜͰJ ^ ^ ^ ^ ^ ^ ^ ^ K    ?T  @Dgà    &    @7No]     &    @Nk     &   +ѫ9     hI&R  
< Øhw ]ؾ ^n͔ʃ#s̿s ^ؾs$P	Q ^Q ^AQ ^Øhʸΐʄ ^lØhs}n ^sؾʄʰJ ^n͔ ^(ؾʰJǔ̿ K   9hO@    ?    
   twoTheta_wrong  M,x9F N    `(X
8 	< Øh  uC6Fk/eXJՏ+(D #$ѯogds+*5	`    m?NV!@ s z ?    
   twoTheta_giveup s > `i @ v P `w R   f9x   @8NMy    &     @+TP    &   0    &     h:*RX  
< Øhu  ^ ^ ^ ^ ^ ^ ^ ^H̿ ^̿nHJJ ^μn ^ #ssʌnQ ^n ^JnF̿ ^PθnHǔ K ^ ^AJH٨r}	ͼ ^ʠ͔ʄʐ K   5@ w ?}   >  userTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal Math abs         =<        R 
   twoTheta_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          w    &9|7  @8Nkվ@   @+sM kw    h!YQ 
< Øh  tӠͤH̿ ^H̿ ^n͔ ^ssʌn ^w #ʜ͸ΤHnǐʔ ^cs ^ ^ ^ ^ ^ ^ ^ ^ K/P ^ ^AJH ^٨r	ͼ ^ʠ͔ʄʐ K   @Ep@    ?    
   twoTheta_right  ų2ٙ9   	@ M9@     v w            ?3  !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =  userTheta     AttemptsTheta           RevealCoords   RevealC   RevealR           ShowTheArc =  RevealTwoTheta  
   theta_slide S    pL <@ 
< M`eȥg!&З!Нg&& & 0ȥg&g0!j !!      6  @   mmc p > `i @ s P x     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          t      6  QQ theZ    6   @ OT`  given 	.    `j.Ѝ9r 99        userTheta +123.50   J * Ɂ`TDnVp 
 ɀ _BU@  4JO΍ VV}Î @  04I [[u@@  N8$t
@ ``m@  n=8$ eeec@  8#!  jj]C @  [8#d, ooU#@@  8#7 tqtpM@  z8"C@ yay`D@  	8"dN ~M~L<À @  &8!Z  =<4~@@  F'8!e -,,|@  d8!Dq  $Cz@  F8 |@ 	Cy @  Ż8  #w@@  Ŷd8 $@ u@  ű8䞀 ՠs@  Ŭւ8t  ťM@  Ũ8@ @  ţ<ѡ8 ͸@  Ş\08d@ M@  řz̿8׀ M@  ŔN8  ml@  ŏ8T ]\͜@  Ŋm8 MLM@  Ņ8@ 98uM@  Ł8E )(e@  |48  T̀@  wR8' 	Dz@  rr9852 4Ms@ t ?    
   theta_intro  m8>@t R  {  ŀ  8G   $l  tZmO1܀h+
    pi *A 
< Øh PؾHΜ ^ʔnsHΔʐʃo#n͔ ^äHǵ ^ʸΐ ^HΤHǵ ^Pεʸn̿ ^Θc ^HΔsnH ^ʸΐ ^n͔ ^}!ʸΜͰJ ^ ^ ^ ^ ^ ^ ^ ^csε ^]ΠsF̿ ^HsJQ ^  ^Δn ^ʔʘcHΔ ^n͔ ^sHʸnnHθ ^Θc ^n͔ ^sHΌHՄʰJ ^Ô̿ ^H ^n͔ʃv ^μsʤH΄n ^̿̿nʵ K    ?K  @DM֨    &    @7Lk    &    @L]V    & @ t ?v   8  principal_axes _rotation UseColoredArcs RotateTheAxes            O   O           R 
   theta_start      j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       '  AttemptsTheta CheckTheRotatedElement    P         = t   ?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@@   C    
 p     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 ^ d     &   posArc F ^ d 	    &   posArcMono F
 a d     &   negArc F a d     &   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 Ts8/Lc;7V>G9YC@p #{a*Dk׃e\Α9FVG8YS@/^ιx P*&4	@/K {CughnVP }C6VPcu^ΒE״0jʰxpVVkԒ.ghn{CuYT29^vYYYgΒDehn{:q  9#U   b7$` 	 oĕ 8  f9F=@@ ?    
   theta_wrong   ܸ=890   hR 	< Øh uC6Fk\ #ΒDehn{:pI/  P{;Cp׷9sCq(}ia*VT,/hn˄;6U$  ř=@ t ?    
   theta_giveup t R   9=48   hRR  
< Øhl tӠͤH̿ ^ #sHʸnnHθ ^H̿ ^  P̿nHJJ ^μn ^ssʌn K (   }AJH ^٨rͼ ^ʠ͔ʄʐʄØh ;n ^θnHǔ K  ř=y@ t    ?`   6  principal_axes _rotation correctTheta RotateTheAxes    O           R 
   theta_correct x    j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          t   [EN^E@   hGHSm 
< Øh tӠ͔ ^ssʌn ^#sHʸnnHθ ^Θc ^n͔ ^MPsHΌHՄʰJ ^Ô̿ ^H̿ ^4}̿ͼ K ^ ^AJH٨rͼ ^ʠ͔ʄʐʄØh ^n ^	θnHǔ K  9E@ ?`   6  principal_axes _rotation correctTheta RotateTheAxes    O           R 
   theta_right  ųٸ9y   @	NIM @   p s t {              ?    
   game_instructions  : QFTu& i @  ; 35FhsExi @   ŀ  8G  w   	 j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>           	 1   
h:   
< M`Tj&НȥНg&&  
B   P H  
< Øh@-tּ kBR k} kH\ k kH} kڌؼȄ k(%*%* kR} V k k  s4tȄ kȄ kqRҔ k]=Ȅ. kؤRȄذU kڬפRUU k} kH}Ȅ\ kؠ k  /;Ȅ} k(%* kR} V k k}ȄפR k kؼHU} kȄUH k  %-R k;Ȅ} k1
%* kR} V k k kH k} k} kؼHU} k  ~.} kqRҔ kڬפRUU kxڬ k k kؼHU} kȄUH\  )Ȅ k kH k;Ȅ k}; kؼHU} kȄUH k} k  0	}xR k kBRR kڌؼȄ V  9. k)ڔ} kq kRȄ}R k҄U kؼȄȄR k} k k  ;&ڠ kBRUU k kڠB kR k} kȄ kȄR}  &ؼȄȄ kq k} kڌؔ V k ky$ڔ k}ڔ k҄Uڃ  } kU} k} kؤRȄذU k kؼH}  F} kRR؄} kȄȄ}R V  @-  D   @t  D   @sp    & @       ?    cumulativeScore taskScore done_one_flag done_one IsItDone done_two_flag done_two done_three_flag done_three done_four_flag done_four done_five_flag done_five done_six_flag done_six done_seven_flag done_seven value flag instance _visible  TheGameIsWon     A A	 
        =    G	 
        =    G	 
        =    G	 
   	 
    =    G	 
        =    G	 2        =    G	 2        =    G   d   H   >    > IsItDone  instance flag T  A     O         O          > ?(             TheGameIsWon =     
   start_the_game   ŀ  8G   D   e ( hP%kIp h-i' 
& ٶh` kfh 
 &I*   h` 
< hP  (s% ^n̿ P   %>       $  >      @+  B(    M   B(b;    M   B(5        B(b'        B(h      B(b;h      B(5    *"   B(b'    *"   B(5    M  B(b'    M      correctCounter             cH     >       $  >      @+  D(B    M   Cب    M   Cبi=    M   D(Bu       	 CبE       
 Cبi*        D(Bh      Cبh      Cبi=h      D(Bu    *"  	 CبE    *"  
 Cبi*    *"   D(Bu    M 	 CبE    M 
 Cبi*    M      correctCounter             9JV@  *   h`  
< hP  0% ^n̿ F   hlQ+  
< hP7  εհJnʃ #	 ^sΈưJʵ      >       $  >  y    @+ N    M  L Nh     L    *"  L    M      correctCounter           callingFrom       ! _D<      >       $  >  y    @+ N    M  L Nh     L    *"  L    M      correctCounter           callingFrom       ( ɀ ` (0 ;   gL  
< hP =h	ЍȔ Ȕ]       >       $  >      @+ *    M  ) *h     )    *"  )    M      correctCounter            / 5M 4   g'( 
< hP `0j&Н  	H B      >       $  >      @+ )p    M  ( )ph     (    *"  (    M      correctCounter            6 s<    b7 @ 
< hP `    >       $  >      @+  z˿     M   z˰=<    M   zD     M   zjt    M 	 VU;    M  
 z˽        z˭        zB        ze       VU'  z˿ h      z˰=<h      zD h      zjth    	 VU;h     
 z˽    *"   z˭    *"   zB    *"   ze    *"  VU'    *"  
 z˽    M  z˭    M  zB    M  ze    M VU'    M      correctCounter            = *  &   hT  
< Øh 3ͽ׹֕ 	       ?@ @ @ @      6L &  done_two    6N *  done_three    6P +   done_four    6R cH  done_five    6T ɀ ` D< done_six    6V ɀ ` (0 done_seven    6X s< done_one Z D   @t [ D   @sp    & @      ! ( / 6 = L N 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 [   pO>@ 
< M`!iYȥg&g0!j &!&Н !&  &ȥg!&З!Нg&&   '@ d<    j >   i @ P      y@'u>      y@'u    *"    y@'u    M>              CheckTheCompleteProblem =        >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>           ŀ  8G     6#  L̦f9xCJ theZ 	   ?    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 ^ d     &   posArc F ^ d 	    &   posArcMono F
 a d     &   negArc F a d     &   negArcMono       &  / regMark    &  @o one    &  @"ֆA two  ͪU3\@ @ @     * 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         =   E >   @ `i @ H P   @ `I * Ɂ`T]`J 
 ɀ _%W	.    `j.Ѝ9r 99        userTheta +123.50 K  [,   !h`}  	< oĕ  {{;#G9YQt7  (   "hP,` 
<   sθΜ 	;   # ?    @ ?     !  @'̦j@ ?     "@      6L #5#P  ok3 N >   @ 5+ i @ Q P   @ 5+ 	+   $`j.Ѕ)r 99        userI2 +123.50 R $4גS  Ɂ`T.{( T U ɀ `T57    6U #5"0 ok2 W >   @ j6i @ Z P   @ j6	+   %`j.Ѕ)r 99        userI1 +123.50 [ %ilV\  Ɂ`T\Ӧ] T ɀ `TkC   6^ #jDE  ok1 a  n9   &h"  	 Ƈd   Dlfdcj Dhv~[czDwØh  NdplX    _Ndpl6~  <  >|l b &386Z c   '`! 	 Øh  Hu  Hu Hu _Hu  <clwl[ c '39&v?d   (m3*"U Øh bk,V]]K3c2Q˲olʎTZv&TveQePoDmlfvfld (f39\G f  )IFxQg 9 h 9}vO@  h ?    
   complete_first_try    ) j >   i @ P      y@'u>      y@'u    *"    y@'u    M>              CheckTheCompleteProblem =  ) f 8C{xQ   *h<R 
< Øh tӠ͔sʃ#H̿ ^ʸ ^sss K ^ ^* PPؾ ^ʸμn͔s Rh}ns ^n ^nͤH̿ ^sΈưJʵ K g * !?f}@  ?    
   complete_second_try    + j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>             CheckTheCompleteProblem =  +    ,hjR  
< Øh pssQ ^nͤH̿#H̿ ^HΌssʌn K ^ ^j PAJH ^٨rͼ ^ʠ͔ʄʐʄØh ^ }cs ^n͔ ^ssʌn ^ʸ̿s K g , !?c}@  ?    
   complete_reveal x   - j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>           - f ų2ٙ9汀   .hRTbX  
< Øhx PsF ^̿<#n͔ ^ssʌn ^?Pʸ̿s K ^ ^AJH٨r}	ͼ ^ʠ͔ʄʐ K g . 	@ aͅ@  ?    
   complete_correct   / j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>       ;  correctCounter callingFrom done_six_flag done_seven_flag       I J      I          I           / f ų2ٙ9F g   	@ c]@     # * E H I J K L N Q R S T U W Z [ \ ] ^ a b c d f g ?m    theta principal_axes _rotation correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal correctTheta bCorrect IsItCorrect correctCounter ok1 gotoAndStop  CheckTheRotatedElementGame       N<       =<      	      
=< 	 +  P        R            R > ?a  6 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                =         =         =         =         	=         
=         =          O   O          R         R     I    O     O 
   game_theta_start    '@ d<   6  m8>@ mmc p > `i @ s P `   6t #0 ok1 	.   0`j.Ѝ9r 99        userTheta +123.50 v 0Jw * Ɂ`TDnVpx 
 ɀ _BU   1 j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       %          CheckTheRotatedElementGame = y 1    2  >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>           2ŀ  8G     6  $l theZ 	  3 ?    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 ^ d     &   posArc F ^ d 	    &   posArcMono F
 a d     &   negArc F a d     &   negArcMono       &  / regMark    &  @o one    &  @"ֆA two  ͪU3\@ @ @      3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&: (f39Е    4hQX@ 
< Øh 
E ^Hn ^θΔ ^ #s ^nH ^n ^F PεհJn ^nͤH̿ ^}̿HJJ ^n̿ K 	.   5 ?      ų2ٙ 4 %@ m@      6 5ř̦4) one_more_time @ y  
   game_theta_wrong y R   o9q  ,l5zc@ y ?   F  principal_axes _rotation correctTheta RotateTheAxes ok1 gotoAndStop    O           R        R 
   game_theta_reveal x   6 j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          y 6  [ENAd  5U7@ y ?   F  principal_axes _rotation correctTheta RotateTheAxes ok1 gotoAndStop    O           R        R 
   game_theta_correct    7 j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I !   done_five_flag        y 7  ųٸ9   @	MYX @  p s t v w x y            ?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<	  8 ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & [  grid_inertia    & ]  grid_stress    & j  circle    &! l m xCorrect    &# n ԀxWrong    &% l  yCorrect    &' n yWrong    &) h xdot    &+ i jydot L   - u  xlabel     /     coordsAbove  coordsBelow       L   3 z  ylabel     /     coordsAbove  coordsBelow       9  @8Neh     & :    @8Ng    & ;  @8Nk     & <    @8Nm    & = V   @Ni     & > 9  ?  @8M    & @    @8M    & A    @M\@    &    &B | } one    &D |  two    &F | three    &H ~ one    &J ~ `one J   L  `theR     /     coordsAbove  coordsBelow       J   R  theC     /     coordsAbove  coordsBelow          &X  min2    &^  : max1 O   d  qtwoThetaP     /     coordsAbove  coordsBelow          &l h  centerDot @   o    8 @   mmc     N   "   _parent EvaluateMouseClickGame      "     "     R   w 2ŀ  8G     6   @ OT`  given    6  QQ theZ    6 5ř9P one_more_time @ ?     coachFlag     
   game_flag1   f=~    ?Nk]bP@ ?     coachFlag     
   game_flag2    ?Nib`@ ?     coachFlag     
   game_flag3    9 j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       $          CheckThePlottedPointsGame = p 9  ř=~  9E@@ p    ?     coachFlag     
   game_flag4    : j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  GamePlotting = p :   H   ;h|R 	< Øh 
uC6VP$\ݚd #{;V8dmҲ/`հ{;CvYR2/B+(P{;Cp׷9sCqW}ia*VT,/FI"5k٨r	{8,eH   ;@
NjO@ p ?     coachFlag     
   game_flag5 x   < j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          p <  f=~   &@ q[p@ p ?     coachFlag     
   game_flag6    = j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  GamePlotting = p =  H   	@ mX@ p ?*     coachFlag      RevealCoords  
   game_flag7    > j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I     done_one_flag        p >  f=~   &@ q[p@  p w     ?)   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                  =         =         =  	       
 R        R     I    O     O 
	   CR_start 7   ?pc>@ 
< M`At&0Н! At !&  mm  ? '@ d<   6  @   mmc    @ j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckCR = p @    A  >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>          w Aŀ  8G     6   @ OT`  given    6 5ř9  one_more_time   +ѫ9   9hZ > ti @  P t	/   B`j.Ѕ)r 99        userRadius +123.50  Bh  ɀ `HL    6 #px ok2  >   @ J64i @  P   @ J64	/   C`j.Ѕ)r 99        userCenter +123.50  Cd $ ɀ `I(8   6 #pw ok1 @ p  ?    
   CR_first_try    D j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckCR = p D   KCNma * 9?܎[͌@ p ?    
   CR_second_try    E j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>            CheckCR = p E  8C{ma , !?Y@ p ?    

   CR_reveal x   F j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          p F  ųٸ9' .@	NVݛ @ p ?    
   CR_correct    G j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I     done_two_flag        p G  ųٸ9   @	NXu@  p w              ?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                =         =         =  	       
 R        R     I    O     O 
   I1I2_start     kZNX     M   kZKpC     M   kZz     M   kZwC     M    H`   
< M`!&   HP    6  @   mmc    I j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckI1I2 = u I | Aŀ  8G     6   @ OT`  given  > ti @  P t	+   J`j.Ѕ)r 99        userI2 +123.50  Jh  Ɂ`THL  U ɀ `TJ\M   6 #px ok2  >   @ J64i @  P   @ J64	+   K`j.Ѕ)r 99        userI1 +123.50  Kd  Ɂ`TH(8 T ɀ `TJX)(   6 #pw ok1    6 5ř9  one_more_time   +ѫ9   9h^@ u  ?    
   I1I2_first_try    L j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckI1I2 = u L   KCNma * 9?܎[͌@ u ?    
   I1I2_second_try    M j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>            CheckI1I2 = u M  8C{ma , !?Y@ u ?    
   I1I2_reveal x   N j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          u N  ųٸ9' .@	NVݛ @ u ?    
   I1I2_correct    O j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I "   done_three_flag        u O  ųٸ9   @	NXu@      u |                  ?;    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                 =         =         =         =         	=         
=         =         R     I    O     O 
   game_twoTheta_start     j<Zu(  hZzEp    M   hZ=N@ `    M    6  @   mmc s > `i @ v P `   6w #0 ok1 	1   P`j.Ѕ)r 99        userTwoTheta +123.50 y PJz * Ɂ`TE|Vp{  Ɂ\`TAU| 
 ɀ _CU   Q j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       #      EvaluateTwoThetaAnswerGame = } Q   ŀ  8G     6  QQ theZ    6   @ OT`  given    6 5ř̦9  one_more_time   +ѫ9   9hO@  ?    
   game_twoTheta_first_try   sCNbq   Rh<R 
< Øh0 
tӠͤH̿ ^ؾʰJǔʃ% #H̿ ^μn ^ssʌn K N* PPؾ ^ʸμn͔s Rh}ns ^n ^nͤH̿ ^sΈưJʵ K  R k?Pٌ@ } ?    
   game_twoTheta_second_try    S j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>       #     EvaluateTwoThetaAnswerGame = } S  8C{bq , !?N@ } ?    
   game_twoTheta_reveal x   T j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          } T  ųٸ9f퀏 .@	NK@ } ?    
   game_twoTheta_correct    U j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I !   done_four_flag        } U  ųٸ9   @	NM}@     s v w y z { | }        ?    
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P      Vd>     ar0r  V0G*U     ?  : QFTu& i @  ; 35FhsExi @  "   Wo__   M%7g'  W@  '   Xa6 $
  	 333wnwn  X  @'U  %   Y`	000  M M$=´tP0 "   ZX` 	 M  fvB_  *   []_]([   f f5t Zn`|8V  $   \\`]_  M    5kZ}!Lt/
 "   ]X` 	   fvB_     ^]_0Z  Øh kZz(C_    _ Y Y =8Z  e@ 
4[  Z  e@ 
4\  ]  e@ 
4^  Y =8      printasbitmap:  _level0     _ 	4   `xĘ  1  333         txtDate 12 pt Verdana  `@ A i   ap r	 	 333  (P|Bnf}n Tn_nf Tf Tf~n TpTf T_tn TfvB__*m  a &@ `	%   bw
!) M         txtName  b %@LN	1   cg+/
P1  333        txtIdentifier 999999  c  D (     30 3  dp,oHp 
< 333Aaa_ƅ[мU[м{aaGxIND[[aм aƭCx< E& %!! ! !ȥB $&&  2& !ȥН!& g&$ &r
]&%ȥd gȥj! & g&!ȥНg! l  [u-%!& B& &ȥ B&ȥ !&ȥН l  d@ E @   
