Argument of function F (x)

Rated function of mistakes
Rated function of mistakes

After we learned to count function of mistakes, we had one step to define rated function of mistakes which is very widely used in probability theory.

Surprising business, but rated function of mistakes has two formulas which are not coinciding with with each other.

The first, is located on Wikipedia and has an appearance 

{\displaystyle \Phi (x)={\frac {1}{2}}{\biggl (}1+\operatorname {erf} \,{\frac {x}{\sqrt {2}}}{\biggl )}.}

The second formula has the following appearance. 

{\displaystyle \Phi (x)={\frac {1}{2}}\operatorname {erf} \,{\frac {x}{\sqrt {2}}}}

In our calculator we will use the second formula as we will use it in the following calculators acquainting us with probabilistic calculations.

The variable can be both material, and complex number. 

As rated function odd,  {\displaystyle \Phi (x)={\frac {1}{2}}\operatorname {erf} \,{\frac {x}{\sqrt {2}}}},  and consequently, we can calculate also values at entrance negative data. 

Several examples: 

Rated function of mistakes 
Нормированная функция ошибок
Rated function of mistakes 
Нормированная функция ошибок

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