Programmer Guide/Command Reference/EVAL/sum: Difference between revisions
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:;<var>x</var>: the data vector | :;<var>x</var>: the data vector | ||
:;<var>us, os, n</var>: ''us'' is the lowest index, ''os'' the highest and ''n'' the number of extents. All three arguments are scalars. Every pair <code>{'us'+d*k, ''us''+d*(k+1)} (with: d=(''os''-''us'')/n, k=0..n-1)</code> defines an index extent to sum. | :;<var>us, os, n</var>: ''us'' is the lowest index, ''os'' the highest and ''n'' the number of extents. All three arguments are scalars. Every pair <code>{'us'+d*k, ''us''+d*(k+1)} (with: d=(''os''-''us'')/n, k=0..n-1)</code> defines an index extent to sum. | ||
:;<var>uv, ov</var>: Every pair <code>{''uv''[k], ''ov''[k]} (with k=0..nrow(''uv'')-1)</code> defines an index extent to sum. Both arguments must be vectors with same length. | :;<var>uv, ov</var>: Every pair <code>{''uv''[k], ''ov''[k]} (with: k=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''[k], ''rv''[k+1]} (with k=0..nrow(''rv'')-2)</code> defines an index extent to sum. The argument must be vector. | :;<var>rv</var>: Every pair <code>{''rv''[k], ''rv''[k+1]} (with: k=0..nrow(''rv'')-2)</code> defines an index extent to sum. The argument must be vector. | ||
:;<var>rm</var>: Every pair <code>{''rm''[k,0], ''rm''[k,1]} (with k=0..nrow(''rm'')-1)</code> defines an index extent to sum. The argument must be matrix with 2 columns. | :;<var>rm</var>: Every pair <code>{''rm''[k,0], ''rm''[k,1]} (with: k=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. | ;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: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]] | ;See also: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]] | ||
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]] | [[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]] | ||
Revision as of 10:46, 8 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
- us is the lowest index, os the highest and n the number of extents. All three arguments are scalars. Every pair
{'us'+d*k, us+d*(k+1)} (with: d=(os-us)/n, k=0..n-1)defines an index extent to sum. - uv, ov
- Every pair
{uv[k], ov[k]} (with: k=0..nrow(uv)-1)defines an index extent to sum. Both arguments must be vectors with same length. - rv
- Every pair
{rv[k], rv[k+1]} (with: k=0..nrow(rv)-2)defines an index extent to sum. The argument must be vector. - rm
- Every pair
{rm[k,0], rm[k,1]} (with: k=0..nrow(rm)-1)defines an index extent to sum. The argument must be matrix with 2 columns.
