SimReal: Mathematics - Vector Calculus - AutoStart UiA Logo


Sim+  VectorField  F = .............   Path  r = ................... 

2D:
001   [x,y]                            [2cos(t),2sin(t)] 
002   [y,x]                            [2cos(t),2sin(t)] 
003   [-y,x]                           [2cos(t),2sin(t)]
004   [y,-x]                           [2cos(t),2sin(t)] 
005   [x^2-y,xy-y^2]                   [2+cos(t),2+sin(t)] 
006   [x-y,x]                          [cos(t),sin(t)]
007   [-y/(x^2+y^2),x/(x^2+y^2)]       [cos(t),sin(t)]
008   [xy,y^2]                         [0.5+0.5cos(t),0.5+0.5sin(t)] 
009   [-y^2,xy]                        [0.5+0.5cos(t),0.5+0.5sin(t)] 
010   [-(x^2y+3x-2y),4y^2x-2x)]        [2cos(t),sin(t)]
011   [e^xsin(y)+3y,e^xsin(y)+2x-2y]   [2cos(t),2+sin(t)]
012   [e^xsin(y)+2y,e^xsin(y)+2x-2y]   [2cos(t),2+sin(t)]
 
013   [e^xsin(y)+3y,e^xsin(y)+2x-2y]   [2cos(t),2+sin(t)]
      [e^xsin(y)+2y,e^xsin(y)+2x-2y]   [2cos(t),2+sin(t)]     


3D:
101                                    [t,t,t]  
102   [2x,y,3]                         [t,t,t] 
103   [2x,y,3]                         [t,2t,3t] 
104   [y-x^2,z-y^2,x-z^2]              [t,t^2,t^3] 
105   [e^xcos(y)+yz,xz-e^xsin(y),xy+z] [1+6t,2+7tt,3-4t] 
106   [y,x,4]                          [1+t,1+2t,1-2t]  
                                       [2cos(t),2sin(t)]
                                       [3cos(t),4sin(t),2cos(2t)+2]        

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