AVR

Average input X over evaluation cycles.

[SPU SUM X TYP T RS OUT Y]

In:	X	a number, vector or matrix containing the data to be averaged
	TYP	a number or string; defines the averaging method
	T	averaging parameter (number); depends on method
	RS	reset flag (number)
Out:	Y	averaged input X; same type as X

Description

The averaging algorithm is defined by the inputs TYP and T. The atom averages the elements X[i,j]_t over evaluation cycles t (i=row index, j=column index, t=cycle counter) and stores the averaged value in the element Y[i,j]_t.

• invinite average: TYP=0 or linear; T=0

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y[i,j]_t = \begin{cases} X[i,j]_t \mbox{if }n\mbox{t=0} \\ 3n+1, & \mbox{if }n\mbox{t>0} \end{cases} }

|A_number |Y_number | Y = A {\displaystyle Y=A} $Y=A$ |- |A_vector |Y_number | Y = ∑ i = 0 n − 1 A [ i ] {\displaystyle Y=\sum _{i=0}^{n-1}A[i]} $Y=\sum _{i=0}^{n-1}A[i]$ |} with: n = length of A_vector

See also

<SP-atoms>