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In the edge-based framework, a pair of continuous algorithms with, respectively, static and adaptive coupling strengths is designed.
The following theorem gives a formula for the Lefschetz coincidence number of a pair of continuous maps between nilmanifolds of equal dimension.
A point x ∈ M1 is a coincidence of a pair of continuous maps f, g : M1 → M2 when f(x) = g(x).
In this section we derive some fixed point theorems with examples for single and a pair of continuous self-mappings in the context of dislocated quasi metric spaces.
The existence of a pair of well-ordered piecewise continuous lower and upper solutions implies the existence of a better pair of continuous lower and upper solutions.
Now we prove practical formulas for the Reidemeister coincidence number, the Lef-schetz coincidence number and the Nielsen coincidence number of a pair of continuous maps between oriented infra-nilmanifolds of equal dimension.
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In Section 2, we introduce the primal and dual pair of continuous-time linear fractional programming problems, where the vector-valued functions are assumed to be measurable and bounded on the time interval ([0,T]).
Spearman rank correlation was used to assess the relationship between pairs of continuous variables.
Correlations between pairs of continuous variables were calculated using Spearman's correlation coefficients.
Correlation between pairs of continuous measures was calculated using the Spearmans correlation coefficient.
Associations between pairs of continuous variables were tested for statistical significance using Spearman's correlation coefficient.
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