sine function from 0 to PI

  coefficients
   -0.000497    0.986855    0.050956   -0.232479    0.037015

        x          f(x)      polynomial
    0.157080     0.156434     0.154896
    0.471239     0.453990     0.453360
    0.785398     0.707107     0.707464
    1.099557     0.891007     0.891264
    1.413717     0.987688     0.987470
    1.727876     0.987688     0.987448
    2.042035     0.891007     0.891212
    2.356194     0.707107     0.707435
    2.670354     0.453991     0.453440
    2.984513     0.156434     0.155203

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press RETURN
exponential function from 0 to 1

  coefficients
    1.001029    0.989333    0.538610    0.105194    0.084129

        x          f(x)      polynomial
    0.050000     1.051271     1.051856
    0.150000     1.161834     1.161945
    0.250000     1.284025     1.283998
    0.350000     1.419068     1.419048
    0.450000     1.568312     1.568333
    0.550000     1.733253     1.733292
    0.650000     1.915541     1.915564
    0.750000     2.117000     2.116994
    0.850000     2.339647     2.339626
    0.950000     2.585710     2.585705

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press RETURN