Abstract: Embodiments of articles, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In one particular example, such methods, apparatuses, devices and/or systems may be directed to transforming between labeled and unlabeled trees which are elementary equivalents.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed.

Abstract: Embodiments of articles, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In particular, methods, apparatus devices and or/or systems for enumerating rooted partial subtrees are disclosed.

Abstract: Embodiments of articles, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. For example, in one embodiment, a method of transforming one or more trees to one or more corresponding symbol strings according to an association of trees and symbol strings is disclosed. In another embodiment, as another example, a method of transforming between at least a first and at least a second expression is disclosed in which the expressions have a common view that is other than one. Additional embodiments are also described.

Abstract: Embodiments of articles, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In particular embodiments, the hierarchical information may be expressed as trees. Such hierarchical information expressed as a tree may be transformed to an array. Likewise, hierarchical information expressed in an array may be expanded as a tree.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In particular, methods, apparatus devices and or/or systems for enumerating rooted partial subtrees are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In particular, methods, apparatus devices and or/or systems for analyzing hierarchical data are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In particular embodiments, such hierarchical sets of data may be expressed as trees and/or strings. Further, such trees and/or strings may be associated with numerals. In other particular embodiments, operations on numerals associated with trees may be associated with manipulations of such trees.

Abstract: Embodiments of prime indexing and/or other related operations are disclosed. prime indexing and/or other related operations are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for a file location naming hierarchy are disclosed.

Abstract: Embodiments of methods, apparatuses, devices and/or systems for a file location naming hierarchy are disclosed.

Abstract: Embodiments of methods and/or systems for tagging trees are disclosed.

Abstract: Embodiments of methods and/or systems for tagging trees are disclosed.