I would like to invite comment to the near step function below.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\Mvariable{step(x)}=\frac{{e^{-\frac{\gamma }{{x^2}}}}}{{\sqrt{1-\frac{{e^{-\frac{\gamma }{{x^2}}}}}{{x^2}}}}}

[/tex]

the above function evaluates to nearly 1 for |x|>1 and nearly zero for |x|<0.3

for gamma = 0.4823241136337762 I have attached the plots of step and 1-step

here are some spot values for

x and step(x)

0.05 1.15E-83

0.1 1.84E-21

0.2 6.55E-6

0.3 5.11E-3

0.4 6.11E-2

0.5 2.32E-1

0.6 0.518

0.8 0.932

1.0 1.0068

2.0 1.006

5.0 1.00092

10 1.00022

50 1.0000090

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Step function

**Physics Forums | Science Articles, Homework Help, Discussion**