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Axiomatic Panbiogeography

offers an application of incidence geometry to historical biogeography by defining collection localities as points, tracks as lines and generalized tracks as planes.
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Incidence Geometry
Composite Construction
Quaternion Algebraic Geom
Primate Vicariances
Individual Track Construc
Generalized Tracks
Main Massings
Track Analysis and MetaCo
Martitrack Panbiogeograph
Replies to Criticism
Multimodel Selection
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Track Analysis beyond Pan

TinkerPop3 Enabled Panbiogeographic Software Development

TinkerPop3 application development of panbiogeographic nodes

This page will sketch a Tinkerpop3 compliant mapping software program that
will enable Croizat to communicate with Mesquite via Gremlin and thus focus on
a JSON-python decomposition that is also visualizable in Gephi enabling different track
layouts other than the great circle center one used in Mesquite. 

 This new application is a data exploration and visualization program that will enable distributed panbiogeographic
users to change the representation of tracks in real time and thus provide a tool that active
researchers could use to reach a better than individual based consensus on what ontological reality
track analysis leads to. The history of the changes of the OLTP and OLAP cases can provide evidence
peer critical advancement in concept and thus leverages technology to do science in a way outside
the main stream of funding, peer review, established journals. The interest in panbiogeography is too
small a the current time to enable to function properly within that environment but there are enough
interested parities to enable development via amateur and professionals in an  voluntary and occasional manner.

With an Axiomatic Panbiogeogrpahic TinkerPop3 enabled API it appears possible to use Graph Traversals to help in constructing a graph-grammer which could generally change the generalized track over geological time.  One could for any proposed labeled transition system use Gremlin to find the possible Vertex(Species) to Edge(specific lat/longs) connections that permit transitions between states that then can be used to find transitions to later states, reducing the number of possible systems as more and more data (time) is added.  One can imagine the creation of  Vertex Program which finds those sets of actual lat/longs geogrpahically internal to those edges already stated and provide updates to track width node shape mass amount and baseline directions through optimizations using the Graph Computer.

Because TinkerPop3 supports TraversalStrategy it is possible to use axiomatic panbiogeogrpahic elements in the creation of transaction graph system thatt would permit full interactivity with biogeogaphic data by distributed users without the current infrastructure and monopolization by a few vendors (GBIF, TDWG). This would require a full TinkerPop3 UI that is written with biogeography in mind but could enable more open access to biodiversity data since individual vendors could implement their own contraints locally rather than through an ambiguous citation and use contract in writing.  In other words they would have the control but also could selectively alllow easy unified access to anyone.  One would not need to make separate appeals to many.

When indexing a graph traversal with the positive integers
It is possile to write a vertex program to analysize the graph with 
elements grossone divisions and it is possible to write a graph grammar combining
two such graphs if a  bifurcation bismulcation of  the index with a k increment can be defined.

The Baysian probabalistic activation needed in the ""V" structure (as a vertex program ruins can be accomplished by yoking OLTP/OLAP processing of any parallel with actual motion of the PowerBall as input device for message passing. This topology strucutre can be maintained as a graph in which the total traversal can be going on while the partials are being done and applications run.