Multidimensional search tree: различия между версиями

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'''Multidimensional search tree''' --- многомерное дерево сортировки.  
'''Multidimensional search tree''' --- ''[[многомерное дерево сортировки]]''.  


''' Multidimensional search trees''' (or '''<math>K-d</math>trees''') are a generalization of the well known
''' Multidimensional search trees''' (or '''[[K-d-Trees|<math>K-d</math> trees]]''') are a generalization of the well known
'' binary search trees'', that handles records with keys of <math>K</math>
'' [[Binary search tree|binary search trees]]'', that handles records with keys of <math>K</math>
attributes. In what follows and without loss of generality, we
attributes. In what follows and without loss of generality, we
identify a record with its corresponding key as <math>x = (x^{(1)},
identify a record with its corresponding key as <math>x = (x^{(1)},
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refers to the value of the <math>i</math>-th attribute of the key <math>x</math>.
refers to the value of the <math>i</math>-th attribute of the key <math>x</math>.


A ''' multidimensional search tree''' for a set of keys is a '' binary tree'' in which:
A ''' multidimensional search tree''' for a set of keys is a '' [[binary tree]]'' in which:


1. Each node contains a <math>K</math>-dimensional key and has an associated
1. Each node contains a <math>K</math>-dimensional key and has an associated
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Note that, if <math>K = 1</math>, then ''' multidimensional search tree''' is a binary search tree.
Note that, if <math>K = 1</math>, then ''' multidimensional search tree''' is a binary search tree.
<nowiki>[[Категория:Деревья]]</nowiki>
<nowiki>[[Категория:Информационные деревья]]</nowiki>
<nowiki>[[Категория: English terms (английские термины)]]</nowiki>

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