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In order to provide a mathematical understanding of the mixing rate, Lacey index was utilized.
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This paper provides a clear mathematical understanding of the network dynamic behaviors relating to the computation of eigenvectors and eigenvalues.
The recurrence for π provides a deeper mathematical understanding of fractionation process than simulations.
Even so, with their treatment of a wider class of mutations, the result could provide a mathematical foundation for understanding the ebb and flow of many different strategies in the games nature plays.
This, presumably, is the most fundamental level, and understanding the theoretical framework at that level is central to understanding the underlying ontology of the theory (and so the manner in which any other structures might emerge from it). 'Matrix theory' is an attempt to do just this, to provide a mathematical formulation of M-theory, but it remains highly speculative.
The present understanding of disruption physics has not gone so far as to provide a mathematical model describing the onset of this instability.
The framework provides a mathematical basis for understanding the decision-making mechanisms of CD4+ T cells, and it can be helpful for interpreting experimental results.
I guess Bayesian statistics provides a mathematical definition of a closed mind.
We have provided a mathematical proof of this discovery.
This provides a (mathematical) image of communication as generalised synchrony.
(11) This section provides a mathematical derivation of the theorems of the bond valence model.
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