Manuals/calci/KFUNCTION

KFUNCTION (Number)

• $Number$ is any real number.

Description

• This function shows the value of the K 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 KFUNCTION(Number)} ,Number is any real number.
• K function is named as Ripley's K Function.
• It is defined as how the spatial clustering or dispersion of feature centroids changes when the neighborhood size changes.
• When using this tool, specify the number of distances to evaluate and, optionally, a starting distance and/or distance increment.
• The K-Function is given as :

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 L(d)=\frac{\sqrt{A \sum_{i=1}^n \sum_{j=1,j\neq i}^n k(i,j)}}{\pi n(n-1)}}

Where d is the distance, n is equal to the total number of features. 

• 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 A} represents the total area of the features and 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 k_{i,j}} is a weight.
• If there is no edge correction, then the weight will be equal to one when the distance between i and j is less than d, and will equate to zero otherwise.

Examples

1. KFUNCTION(5) = 27648
2. KFUNCTION(15) = 1.8473984485535928e+99
3. KFUNCTION(6.453) = 86400000

Related Videos

Relations and Functions

See Also

• SUM
• SQRT

References

K Function

• List of Main Z Functions

• Z3 home