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flsmhs, a smoothed step function, or Heaviside function, with a continuous first derivative and overshoot on both sides of the step. The overshoot ensures that the integral from 0 to infinity is correct. y=flsmhs(x,scale) approximates the logical expression y = (x>0) by smoothing the transition within the interval
−scale < x < scale; that is, the scale value is half of the smoothing zone s. fldsmhs is the derivative of the smoothed Heaviside function. |
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flsmsign, a smoothed sign function with a continuous first derivative. y = flsmsign(x,scale) approximates the function y = sign(x) by smoothing the transition within the interval −scale < x < scale. fldsmsign is the derivative of the smoothed sign function.
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flc1hs, a smoothed Heaviside function with a continuous first derivative without overshoot. Its syntax is similar to the functions just described. The definition of flc1hs is the following:
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flc2hs, a smoothed Heaviside function with a continuous second derivative without overshoot. Its syntax is similar to the functions just described. The definition of flc2hs is the following:
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