Programmer Guide/Command Reference/EVAL/sum: Difference between revisions

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=====sum=====
Calculate the summation over one or more user-defined extents of a vector <var>x</var>. Depending on the number of extents, the result of the function is a vector or a scalar.
;Usage:
:<code>sum(<var>x</var>, <var>us</var>, <var>os</var>, <var>n</var>)</code>
:'''<code>sum(<var>x</var>, <var>uv</var>, <var>ov</var>)</code>
:<code>sum(<var>x</var>, <var>rv</var>)</code>
:<code>sum(<var>x</var>, <var>rm</var>)</code>
:;<var>x</var>: the data vector
:;<var>us, os, n</var>: Every pair <code>{''us''+d*i, ''us''+d*(i+1)} (with: d=(''os''-''us'')/n, i=0..n-1)</code> defines an index extent to sum. All three arguments are scalars.
:;<var>uv, ov</var>: Every pair <code>{''uv''[i], ''ov''[i]} (with: i=0..nrow(''uv'')-1)</code> defines an index extent to sum. Both arguments must be vectors with same length.
:;<var>rv</var>: Every pair <code>{''rv''[i], ''rv''[i+1]} (with: i=0..nrow(''rv'')-2)</code> defines an index extent to sum. The argument must be vector.
:;<var>rm</var>: Every pair <code>{''rm''[i,0], ''rm''[i,1]} (with: i=0..nrow(''rm'')-1)</code> defines an index extent to sum. The argument must be matrix with 2 columns.
;Result: The result ''r'' is a scalar or a vector. Each element ''r''<sub>i</sub> is the sum of the ''x'' values over the i-th index extent.
;See also: [[../wsum|wsum]], [[../hist|hist]], [[../avr|avr]]


Calculate the summation over one or more user-defined extents of a vector <var>x</var>. The result of the following functions is a vector or a scalar (depending on the number of extents).
[[../#Functions|<function list>]]
 
The summation of <var>n</var> extents of <var>x</var>. The first extent begins with the index <var>u</var>s and the last extent ends with the index <var>o</var>s.
 
=====Usage:=====
 
<code>sum(<var>x</var>, <var>u</var>s, <var>o</var>s, <var>n</var>)</code>
 
=====Result:=====
 
If <var>n</var> > <code>1</code> the result is a vector, otherwise it is a scalar.
 
The summation over the extent nrow(<var>u</var>v). Every pair (<var>u</var>v[i], <var>o</var>v[i]) defines an index extent to sum.
 
=====Usage:=====
 
<code>sum(<var>x</var>, <var>u</var>v, <var>o</var>v)</code>
 
The summation over the extent nrow(<var>r</var>v)-1. Every pair (<var>r</var>v[i], <var>r</var>v[i+1]) defines an index extent to sum.
 
=====Usage:=====
 
<code>sum(<var>x</var>, <var>r</var>v)</code>
 
The summation over the extent nrow(<var>r</var>m). Every pair (<var>r</var>m[i,0], <var>r</var>v[i,1] defines an index extent for summation.
 
=====Usage:=====
 
<code>sum(<var>x</var>, <var>r</var>m)</code>

Latest revision as of 11:59, 21 April 2011

Calculate the summation over one or more user-defined extents of a vector x. Depending on the number of extents, the result of the function is a vector or a scalar.

Usage
sum(x, us, os, n)
sum(x, uv, ov)
sum(x, rv)
sum(x, rm)
x
the data vector
us, os, n
Every pair {us+d*i, us+d*(i+1)} (with: d=(os-us)/n, i=0..n-1) defines an index extent to sum. All three arguments are scalars.
uv, ov
Every pair {uv[i], ov[i]} (with: i=0..nrow(uv)-1) defines an index extent to sum. Both arguments must be vectors with same length.
rv
Every pair {rv[i], rv[i+1]} (with: i=0..nrow(rv)-2) defines an index extent to sum. The argument must be vector.
rm
Every pair {rm[i,0], rm[i,1]} (with: i=0..nrow(rm)-1) defines an index extent to sum. The argument must be matrix with 2 columns.
Result
The result r is a scalar or a vector. Each element ri is the sum of the x values over the i-th index extent.
See also
wsum, hist, avr

<function list>

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