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1. If every number had its units, uncertainty, and exact meaning all a9ached in a “metanumber” object -‐ a universal standard for all numerical data,
2. Instantly readable by both humans and computers,
3. And there was a natural unique name for every number, which could be used as a name in expressions and where
4. Dimensional & error analysis is automaHcally computed and where All metadata is tracked allowing reuse of results thus supporHng automated data exchange, Big Data and ArHficial Intelligence.
MetaNumber A Standardization of Numerical Information
Joseph E. Johnson, PhD [email protected]
Imagine
1. An algorithm conHnuously scraping all numerical data from the web and converHng it to standardized MetaNumber tables
2. And then with a novel process, each table is converted to two networks: one among enHHes (rows) and one among properHes (columns).
3. From these the dominant clusters are extracted and ordered using a novel agnosHc cluster idenHficaHon algorithm.
4. Then with sHll another algorithm these clusters are linked into a single supernet spanning all numeric informaHon.
5. A single network spanning our enHre numerical universe with a dashboard acHng as a telescope into the meaning of all unified numerical informaHon.
And Also Imagine
Units
The Design Units • Unit and Constant Names • MetaNumber -‐ Powerful yet Easy • MN has Six Basic SI Units with Six AddiHonal Base Units Numerical Accuracy (uncertainty) • If a value contains a decimal point then it is converted to an ‘uncertain
number’ (ufloat) • If there is no decimal (or is removed using scienHfic notaHon) then it is
treated as exact
MN Tables -‐> Networks • A MN table Tij represenHng things (rows) with
properHes (columns) suggests that some ‘things’ are more alike than others and thus could define a network Cij of connecHon values.
• Our research proved that Cij is in the Lie algebra for all conHnuous Markov transformaHons
• The eigenvectors of M idenHfy the clusters in the network C
• And can be labeled with the eigenvalue corresponding to each cluster
A SuperNet • Clusters abstract the essenHal informaHon in
each table. • These clusters can be linked to other clusters
using the eigenvalue weights of table indices (nodes).
• This results in a single network that joins all numerical informaHon in into what we call:
The Numerical Universe -‐ A network of all numerical informaDon
Visit Us at www.asg.sc.edu and www.metanumber.com Joseph E. Johnson, PhD DisHnguished Professor Emeritus Department of Physics and Astronomy University of South Carolina Room 405 Physical Sciences Center
The Numerical Universe
Funding: University of South Carolina ASPIRE II and ASPIRE I Grants
Example
The gravitaDonal aJracDon between a 188 lb man & a 632.3 kg golf cart 7.93 yards away is: > g*188*lb*632.3*kg/(7.93*yard)**2
g = G = the gravitaHonal constant >> (6.844+/-‐0.017) e-‐08*m*kg*s_2
note the uncertainty
Project Members: A Group of University of South Carolina Faculty, Students and the Research Cyberinfrastructure Staff