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Information theoretic techniques in probability and statistics.
Using recently developed graph theoretic techniques, we found significant changes in both single-cell and population activity characteristics over development.
It is well known that the cone theoretic techniques play a very important role in applying Green's function in the study of solutions to boundary value problems.
The central role that group theoretic techniques played in Weyl's analysis of spacetime was one of several factors which led Weyl to his general theory of the representations and invariants of the classical Lie groups.
This culminated in the development of a formal semantics that extended to modal logic the successful first-order model theoretic techniques, thereby affording completeness and decidability results for many systems.
Goodrich [3] deduced uniqueness theorems by means of the Lipschitz condition and deduced the existence of one or more positive solutions by using the cone theoretic techniques for this same boundary value problem.
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In this paper we introduce a graph theoretic technique for exploratory analysis of life history data that speaks to this challenge.
Using the ideal theoretic technique of primary decomposition we compute the cohomology classes of the matter surfaces associated with states charged under the non-abelian gauge group.
The development demonstrates substantial advantages of applying graph-theoretic techniques directly to enhance data processing efficiency.
We develop novel game- and automata-theoretic techniques, and we provide complexity results that range from NLogSpace to ExpTime.
The graph-theoretic techniques we introduce map major technological discontinuities on changes observed at the level of dominant organization forms.
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