ORB Visualization
(soon)
Orb arithmetic
3/14/2004 3:59 PM
The taxonomy discussion bead game provides a business and social context to the recognition of HIP technology.
link to the taxonomy discussion bead game -> .
In addition to the hyper link above, previous beads in the InOrb technology game sets the stage for a discussion of Orb arithmetic.
We will take Figure 3 in that link, to demonstrate a useful transformations.
Figure 1: Orb rendering with two neighborhoods marked
Many transformations can be made on Orb structures. Figure 2 represents just one type of these transformations.
Figure 2: A collapse of two neighborhoods into categories
Two categories are developed, each one indicating the presence of a subject matter indicator, indicated by a neighborhood of radius two.
For example suppose we have a neighborhood of the node labeled “center” and we have five nodes (n1, n2, n3, n4, n5) linked to the center, and four additional nodes (n6, n7, n8, n9) at a distance of two links from this center (as in the top neighborhood in Figure 1.)
The category labeled “a” in Figure 2 may be considered a symbol whose presence indicator the expression of a concept (or more generally a behavior). It is a catalytical indexical, to use Michael Lissack’s term. The category “b” can be similarly regarded.
How this interpretation occurs should depend on human judgment, but there could be some additional algorithms that assist in the formation of groupings of words and the correspondences between these words and parts of an original Orb, such as in Figure 1.
The collapse of the top neighborhood can be represented in the following notation:
{ center, n1, n2, n3, n4, n5, n6, n7, n8, n9 } ŕ a
Now the question becomes, when is the sign “a” presence in text?
A rule can be developed that is appropriate to the measurement of this catalytical indexical. Such a rule might be:
The sign “a” is presence if the center word
and five of the words
{ n1, n2, n3, n4, n5, n6, n7, n8, n9 }
occur within two paragraphs of an occurrence of the center.