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We show that if a sequence of dense graphs has the property that for every fixed graph F, the density of copies of F in these graphs tends to a limit, then there is a natural “limit object”, namely a ...

Words are sequences of letters over a finite alphabet. We study two intimately related topics for this object: quasi-randomness and limit theory. With respect to the first topic we investigate the ...

This study investigates 3 preservice secondary mathematics teachers’ understandings of limits of sequences and their changing conceptions of limit during and after instruction involving interactive, ...

Proceedings of the American Mathematical Society, Vol. 102, No. 3 (Mar., 1988), pp. 473-479 (7 pages) We present criteria for irrationality of limits of convergent sequences of rational numbers, ...

Sequence conservation of noncoding DNA across species can indicate functional conservation. However, a new study demonstrates notable differences between human and mouse stem cell regulatory networks, ...

Abstract: In this paper, we present M-ary Hopfield neural network based auto-associative memory formulation for variable length sequences. Each sequence is composed of variable length of multi-valued ...

Public DNA databases are becoming too large and too complex for manual methods to generate phylogenetic supermatrices from multiple gene sequences. Delineating the terminals based on taxonomic labels ...