Manuals/calci/SINCP

SINCP(X)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X} is any real number.

Description

• This function shows the value of the cardinal normalized sin function.
• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SINCP(X)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X} is any real number.
• The full name of the function is normalized sine cardinal,but it is commonly referred to by its abbreviation, Sincp.
• The unnormalized SINC function is defined by :

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SINC(X)=\begin{cases} 1 & for x=0 \\ \frac{Sin x}{x} & Otherwise\\ \end{cases}}

• The normalized SINC function is called as SINCP and it is defined by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SINCP(X)= SINC(PI()*X)} .
• The value at x = 0 is defined to be the limiting value Sinc(0) = 1.
• The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π.

Examples

1. SINCP(23) = 8.814971340095828e-17
2. SINCP(-12) = -3.8981718325193755e-17
3. SINCP(45.3) = -0.0056847264326763776

Related Videos

Cardinal Sin

See Also

• SINC
• SIN
• SINH

References

• SinC

• List of Main Z Functions
• Z3 home