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Showing 1 to 20 of 5432 for “"Sequences"”.
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Degree sequences
A nonincreasing sequence pi = (d1, d2,···,dn) of nonnegative integers is said to be graphic if it is the degree sequence of a simple graph of order n and such graph is referred to as a realization of pi.;Let H be a simple graph. A graphic sequence pi is said to be potentially …
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MIW Sequences
… this context, we define a general notion of MIW sequences as a kind of discrete approximation of continuous functions. MIW sequences are defined by the relation\[ \frac{1}{x_{n+1} - x_n} - \frac{1}{x_n - x_{n-1}} = \frac{f'(x_n)}{f(x_n)}, \] along with boundary conditions at $\pm\infty$. This is …
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Fibonacci sequences
Early in the thirteenth century, Leonardo de Pisa, or, Fibonacci, introduced his famous rabbit problem, which may be stated simply as follows: assume that rabbits reproduce at a rate such that one pair is born each month from each pair of adults not less than two months old. If one pair is present …
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Graphical sequences
… first chapter general properties of graphical sequences are studied. We give conditions under which a sequence can be lengthened or shortened and have the property of being graphical be preserved. The concept of a 'transfer' is introduced to show how all realizations of a graphical sequence can …
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Periodic complementary binary sequences
Since man devised a way to count, patterns or sequences of numbers have held mathematicians' attention. However, it has only been recently that binary sequences have received so much attention due to their compatibility with computers. For the past 30 years the fields of Electrical Engineering, …
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Sequences of compact curvature
By perturbing the differential of a (cochain-)complex by "small" operators, one obtains what is referred to as quasicomplexes, i.e. a sequence whose curvature is not equal to zero in general. In this situation the cohomology is no longer defined. Note that it depends on the structure of the …
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Taxonomic classification of metagenomic sequences
… characterization of metagenomic shotgun sequences. However, the taxonomic classification of metagenomic sequences from novel species without close homologues in the biological sequence databases poses a challenge due to the high number of wrong taxonomic predictions on lower taxonomic …
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Elgenvalues of Fibonacci-like Sequences
The familiar Fibonacci sequence 1,1,2,3,5,8,13,... can be described by the recurrence relation x(0) = 1, x(1) = 1, x(n) = x(n-1) + x(n-2). For this relation, as n → oo, x(n+1) → 1 +√5 x(n) 2 ' which is the familiar golden ratio. This value is also the dominant eigenvalue of the above recurrence …
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Folding patterns in protein sequences
… genome projects, a growing number of protein sequences remain uncharacterised. Generally, computational techniques have not been developed to distinguish between regions that are conserved in proteins owing to evolutionary pressures to maintain structure and those that are conserved in order …
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H - Removable Sequences of Graphs
<italic>H</italic>-removable sequences, for arbitrary <italic>H</italic>, under &Lambda^* construction are presented here. In the first part we investigate Neighborhood Distinct (ND) graphs and ask some natural questions concerning disconnected <italic>H</italic> and <italic>H</italic> complement. …
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Randomness Tests for Binary Sequences
Cryptography is vital in securing sensitive information and maintaining privacy in the today’s digital world. Though sometimes underestimated, randomness plays a key role in cryptography, generating unpredictable keys and other related material. Hence, high-quality random number generators are a …
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Sidon Sets and Beatty Sequences
… and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.
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Stepping Sequences in the Crayfish
Made available in DSpace on 2014-12-10T18:13:22Z (GMT). No. of bitstreams: 1 6408423.pdf: 1001996 bytes, checksum: 7eee047415d35d46538606e428eadfc2 (MD5) Previous issue date: 1964
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Distribution of some arithmetic sequences
… first study the correlations of some arithmetic sequences. We prove the existence of the limiting pair correlations of fractions with prime and power denominators, and give the explicit pair correlation density functions. Next, we study the higher level correlations of these fractions, and …
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On residues of polynomial sequences
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-27T22:00:43Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Wittrig_Aaron.tex: 67295 bytes, checksum: fce3243cf10a10cc946856c8090cce40 (MD5) Wittrig_Aaron.pdf: 5557790 bytes, …
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Combinatorial approaches to integer sequences
Combinatorial methods are used to prove several results in number theory. The chapters may be read independently, and are briefly discussed below.
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Molecular evolution of biological sequences
… we combined statistical analyses of genomic sequences, mathematical models of evolutionary dynamics and experiments in molecular evolution to advance our understanding of rapid adaptation. Our results open new avenues in our understanding of population dynamics that can be translated to a …
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