A k-term quasi-progression of diameter d is a sequence {Xl,... ,xk} for which there exists a positive integer l such that l < Xi-Xi-1 < l+d, for all i = 2, ... ,k. Quasi-progressions may be thought of as arithmetic progressions with a certain...
Online organizations are always in search for innovative marketing strategies to better satisfy their current website users and lure new ones. Thus, recently, many organizations have started to retain all transactions taking place on their website,...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. There is a tear down the center of each page of this issue and there are various portions that are illegible along these...
We formulate an integro-difference model to predict the growth and spatial
spread of a perennial plant population with an age-structured seed bank. We allow
the seeds in the bank to be of any age, producing an infinite system of equations.
The...
Representing the complex data in a concise and accurate way is a special stage in data mining methodology. Redundant and noisy data affects generalization power of any classification algorithm, undermines the results of any clustering algorithm and...
The Combinatorial Nullstellensatz can be used to solve certain problems in combinatorics. However, one of the major complications in using the Combinatorial Nullstellensatz is ensuring that there exists a nonzero monomial. This dissertation looks...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. This issue says Vol. 17. No. 33. but is actually Vol. 17. No. 36. This issue is twelve pages. There are portions either...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. There is a tear across the center of each page of this issue that makes some lines illegible.
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. An article has been clipped from pages five and six of this issue.
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. The first page of this issue is very faded.
Recent advances in high throughput methodologies offer researchers the ability to understand complex systems via high dimensional and multi-relational data. One example is the realm of molecular biology where disparate data (such as gene sequence,...
The classification of self-dual codes has been an extremely active area in
coding theory since 1972 [33]. A particularly interesting class of self-dual codes
is those of Type II which have high minimum distance (called extremal or...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. This issue is twelve pages. There are portions missing along the edges of each page of this issue.
Image processing; Computer vision; Pattern recognition systems
Image segmentation is one of the most important problems in image processing, object recognition, computer vision, medical imaging, etc. In general, the objective of the segmentation is to partition the image into the meaningful areas using the...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. There are portions missing along the edges of each page of this issue and there is severe water damage to page eight.
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. This issue is twelve pages. There are small portions missing along the top of each page of this issue. Almost half of...
Quorum sensing (Microbiology); Cellular signal transduction; Bacterial genetics
Quorum sensing in the oral pathogen Aggregatibacter actinomycetemcomitans is dependent upon the soluble signaling molecule AI-2, but it is not known how the initial detection of AI-2 is coupled to the downstream regulation of gene expression that...
Mathematical imaging consists of many different applications including image segmentation, image classification, and inpainting. This work deals more specifically with image segmentation: the partition of an image into the background and the...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. This issue says Vol. 18. No. 34. but is actually Vol. 18. No. 46. There are small tears and portions missing down the...