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

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----
----
;Usage 1:  
;Usage 1:  
:'''<code>dist(''x''<sub>scalar</sub>, ''y''<sub>scalar</sub>)</code>'''
:<code>dist(''x''<sub>scalar</sub>, ''y''<sub>scalar</sub>)</code>
:'''<code>dist(''x''<sub>vector</sub>, ''y''<sub>vector</sub>)</code>'''
:<code>dist(''x''<sub>vector</sub>, ''y''<sub>vector</sub>)</code>
;Result 1: The euclidan distance ''d''<sub>scalar</sub> of ''x'' and ''y''. The two arguments must be scalars or vectors with the same length.
;Result 1: The euclidan distance ''d''<sub>scalar</sub> of ''x'' and ''y''. The two arguments must be scalars or vectors with the same length.
----
----
;Usage 2:  
;Usage 2:  
:'''<code>dist(''x''<sub>vector</sub>)</code>'''
:<code>dist(''x''<sub>vector</sub>)</code>
:'''<code>dist(''x''<sub>matrix</sub>)</code>'''
:<code>dist(''x''<sub>matrix</sub>)</code>
;Result 2: The matrix ''d'' with the euclidian distances of all elements or row vectors of ''x''. The result is a matrix with <code>nrow(''x'')</code> rows and columns.  
;Result 2: The matrix ''d'' with the euclidian distances of all elements or row vectors of ''x''. The result is a matrix with <code>nrow(''x'')</code> rows and columns.  
:{|class="keinrahmen"
:{|class="keinrahmen"
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----
----
;Usage 3:  
;Usage 3:  
:'''<code>dist(''x''<sub>vector</sub>, ''y''<sub>scalar</sub>)</code>'''
:<code>dist(''x''<sub>vector</sub>, ''y''<sub>scalar</sub>)</code>
:'''<code>dist(''x''<sub>matrix</sub>, ''y''<sub>vector</sub>)</code>'''
:<code>dist(''x''<sub>matrix</sub>, ''y''<sub>vector</sub>)</code>
;Result 3: The vector ''d'' with the euclidian distances of all elements or row vectors of ''x'' to ''y''. The result is a vector with <code>nrow(''x'')</code> rows and columns.  
;Result 3: The vector ''d'' with the euclidian distances of all elements or row vectors of ''x'' to ''y''. The result is a vector with <code>nrow(''x'')</code> rows and columns.  
:{|class="keinrahmen"
:{|class="keinrahmen"
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----
----
;Usage 4:  
;Usage 4:  
:'''<code>dist(''x''<sub>matrix</sub>, ''flag'')</code>'''
:<code>dist(''x''<sub>matrix</sub>, ''flag'')</code>
;Result 4: The matrix ''d'' with the euclidian distances of the row vectors (''flag''='''0''') or column vectors (''flag''='''1''') or ''x''.  
;Result 4: The matrix ''d'' with the euclidian distances of the row vectors (''flag''='''0''') or column vectors (''flag''='''1''') or ''x''.  
:{|class="keinrahmen"
:{|class="keinrahmen"
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|}
|}
----
----
;See also: [[Programmer_Guide/Command_Reference/EVAL/var|var]], [[Programmer_Guide/Command_Reference/EVAL/corr|corr]]
;See also: [[../var|var]], [[../corr|corr]], [[../haclust|haclust]]


[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]
[[../#Functions|<function list>]]

Revision as of 10:35, 21 April 2011

Compute the distance or distance-matrix.


Usage 1
dist(xscalar, yscalar)
dist(xvector, yvector)
Result 1
The euclidan distance dscalar of x and y. The two arguments must be scalars or vectors with the same length.

Usage 2
dist(xvector)
dist(xmatrix)
Result 2
The matrix d with the euclidian distances of all elements or row vectors of x. The result is a matrix with nrow(x) rows and columns.
xvector -> d[i,j] = dist(x[i], x[j])
xmatrix -> d[i,j] = dist(x[i,*], x[j,*])
with: i,j = 0 .. ncol(x)

Usage 3
dist(xvector, yscalar)
dist(xmatrix, yvector)
Result 3
The vector d with the euclidian distances of all elements or row vectors of x to y. The result is a vector with nrow(x) rows and columns.
xvector,yscalar -> d[i] = dist(x[i], y)
xmatrix,yvector -> d[i,j] = dist(x[i,*], y) (ncol(x) must be equal to nrow(y)!)
with: i = 0 .. ncol(x)

Usage 4
dist(xmatrix, flag)
Result 4
The matrix d with the euclidian distances of the row vectors (flag=0) or column vectors (flag=1) or x.
flag=0 -> d[i,j] = dist(x[i,*], x[j,*]) , with: i,j = 0 .. nrow(x)
flag=1 -> d[i,j] = dist(x[*,i], x[*,j]) , with: i,j = 0 .. ncol(x)

See also
var, corr, haclust

<function list>

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