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Problem with Min Max between two functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg111285] Problem with Min Max between two functions
  • From: maria giovanna dainotti <mariagiovannadainotti at yahoo.it>
  • Date: Mon, 26 Jul 2010 06:37:58 -0400 (EDT)

Dear Mathgroup,
I have the following function 
R1=1.029
R2=3.892
R3=8
e1=250
e2=11.8
e3=80.5
i=pi/12
spherenear[x_,y_]:=((R3^2-x^2-y^2)^(1/2))
spherefar[x_,y_]:=-((R3^2-x^2-y^2)^(1/2))
emptynear[x_,y_]:=Min[Re[spherenear[x,y]],Re[(R2^2-x^2)^(1/2)+y*Tan[i]]]
emptyfar[x_,y_]:=Max[Re[spherefar[x,y]],Re[-(R2^2-x^2)^(1/2)]+y*Tan[i]]
jetnear[x_,y_]:=Min[Re[spherenear[x,y]],Re[(R1^2-x^2)^(1/2)+y*Tan[i]]]
jetfar[x_,y_]:=Max[Re[spherefar[x,y]],Re[-(R1^2-x^2)^(1/2)]+y*Tan[i]]
f[x_,y_]:=((jetnear[x,y]-jetfar[x,y])*e1+e3*(spherenear[x,y]-emptynear[x,y]+emptyfar[x,y]-spherefar[x,y])+e2*(emptynear[x,y]-jetnear[x,y]+jetfar[x,y]-emptyfar[x,y]))*Boole[-R1=EF=82=A3x=EF=82=A3R1]+((emptynear[x,y]-emptyfar[x,y])*e2+e3*(spherenear[x,y]-emptynear[x,y]+emptyfar[x,y]-spherefar[x,y]))*(Boole[-R2<x<-R1]+Boole[R2>x>R1])+(spherenear[x,y]-spherefar[x,y])*e3*(Boole[x<-R2]+Boole[x>R2])

ContourPlot[f[x,y],{x,-8,8},{y,-8,8},Contours=EF=82=AE{0,100,200,300,400,500,600,700,800,900}]

From the picture you can see there is a white contours that results a bit odd, I 
think th at it comes out from the introduction of the Min and Max.
I would like to remove this white contour. Could you help me?
Thanks a lot for your attention
Cheers
Maria      


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