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Text File  |  2002-05-15  |  1.3 KB  |  90 lines
  1. "Interesting expressions to plot in a 2D-plot window"
  2.  
  3. "A spike:"
  4.  
  5. y=2*SIN(LN(ABS(x)))
  6.  
  7. "The top half of a dog bone:"
  8.  
  9. y=x^2*SQRT(15-x^2)/10
  10.  
  11. "Water waves have sharper crests than troughs:"
  12.  
  13. y=SEC(SIN(x))
  14.  
  15. "The frequency approaches infinity as x approaches 0:"
  16.  
  17. y=x*SIN(2/x)
  18.  
  19. "A super power:"
  20.  
  21. y=ABS(x/2)^ABS(x/2)
  22.  
  23. "A surprising nearly-straight line:"
  24.  
  25. y=ASIN(ATAN(0.4*x))
  26.  
  27. "Surprising near-triangular waves:"
  28.  
  29. y=TAN(COS(x))
  30.  
  31. "Triangular waves:"
  32.  
  33. y=ASIN(SIN(x))
  34.  
  35. "Sawtooth waves:"
  36.  
  37. y=ATAN(TAN(x))
  38.  
  39. "Surprising near-square waves:"
  40.  
  41. y=COTH(SEC(x))+TANH(SEC(x))
  42.  
  43. "Square waves:"
  44.  
  45. y=SIGN(COS(x))
  46.  
  47. "Arches:"
  48.  
  49. y=2*SQRT(ABS(SIN(x)))
  50.  
  51. "Pointed Moorish arches:"
  52.  
  53. y=-SQRT(ABS(COT(0.8*x)))
  54.  
  55. "Hump waves:"
  56.  
  57. y=3*SECH(SEC(x))
  58.  
  59. "Stepped waves:"
  60.  
  61. y=2*CSCH(SEC(x))
  62.  
  63. "Essential singularity (all derivatives = 0 at x=0):"
  64.  
  65. y=4*EXP(-1/ABS(x))-2
  66.  
  67. "A self-similar self-composition:"
  68.  
  69. y=SIN(SIN(x))
  70.  
  71. "A self-similar self-composition:"
  72.  
  73. y=ATAN(ATAN(x))
  74.  
  75. "Area between sine curve and x axis:"
  76.  
  77. 0<y<SIN(x) OR SIN(x)<y<0
  78.  
  79. "Checkerboard squares:"
  80.  
  81. (MOD(x,2)<1 AND MOD(y,2)<1) OR (MOD(x,2)>1 AND MOD(y,2)>1)
  82.  
  83. "A circle of radius 2; Θ goes from -π to π in polar coordinates:"
  84.  
  85. r=2
  86.  
  87. "A spiral of 5 loops; Θ goes from 0 to 10π in polar coordinates:"
  88.  
  89. r=theta/10
  90.