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

Abstract: Embodiments of a method and/or system of transmitting and/or receiving data is disclosed.

Abstract: Embodiments of methods and/or systems of manipulating tree expressions are disclosed.

Abstract: Embodiments of articles, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed herein including, for example, an apparatus that includes a computing platform to transform between a tree and a condensed array of numerals.

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.

Abstract: Briefly, in accordance with one embodiment, a method of processing non-transitory stored binary digital signal quantities using a computing device is disclosed. For example, a computing device transforms between at least first and at least second non-transitory stored binary digital signal quantities respectively representing at least a first and at least a second expression. The represented expressions have a common view for non-common expression types of the represented expressions and have a non-common view for common expression types of the represented expressions. The represented expressions include at least one of the following expression types: a hierarchical edge and/or node labeled tree or a symbol string.

Abstract: Embodiments of a method and/or system of transmitting and/or receiving data is disclosed.

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

Abstract: Embodiments of methods and/or systems of manipulating tree expressions are disclosed.

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

Abstract: Embodiments of a method and/or system of transmitting and/or receiving data is disclosed. For example, a sequence of binary signal values may, in one embodiment, represent a sequence of trees, such as unitary trees. A variety of techniques exist for transmitting and/or receiving signal data. However, such techniques typically have several disadvantages, including, a limit on the size of the signal datum that may be transmitted and/or received, such as 32 or 64 bits, for example. Another disadvantage includes the difficulty of synchronization between a receiver and transmitter. Thus, new methods and/or systems for receiving and/or transmitting signal data continue to be desirable, such as those disclosed.

Abstract: Embodiments of methods and/or systems of manipulating tree expressions 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 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 the present invention ease the processing and exchange of information and data between programmatic schema and memory stores. A common and universal indexing system or coordination language is created based on natural number node-labeled tree data structures and use of the full sub-tree isomorphism query as the only operation.

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.