A contiguous relation for complementry pairs of very well poised balanced 10φ9 basic hypergeometric functions is used to derive an explict expression for the associated continued fraction. This generalizes the continued fraction results associated with both Ramanujan’s Entry 40 and Askey-Wilson polynomials which can be recovered as limits. Associated with our continued fraction results there ar...

Given the importance of transcriptome analysis in various biological studies and considering thevast amount of whole transcriptome sequencing data, it seems necessary to develop analgorithm to assemble transcriptome data. In this study we propose an algorithm fortranscriptome assembly in the absence of a reference genome. First, the contiguous sequencesare generated using de Bruijn graph with d...

due to contiguous city of ravar with lut and dasht-e kavir desert, and weather conditions, water is one of the rarest agricultural inputs in this city. pistachio allocates 90% of garden and 73% of agricultural lands of the city and it is the most important agricultural product in this region. a major source of agricultural water supply in this area is groundwater. low price of water on one side...

Mining interesting patterns from DNA sequences is one of the most challenging tasks in bioinformatics and computational biology. Maximal contiguous frequent patterns are preferable for expressing the function and structure of DNA sequences and hence can capture the common data characteristics among related sequences. Biologists are interested in finding frequent orderly arrangements of motifs t...

given the importance of transcriptome analysis in various biological studies and considering thevast amount of whole transcriptome sequencing data, it seems necessary to develop analgorithm to assemble transcriptome data. in this study we propose an algorithm fortranscriptome assembly in the absence of a reference genome. first, the contiguous sequencesare generated using de bruijn graph with d...

In this paper we consider the enumeration of binary trees avoiding non-contiguous binary tree patterns. We begin by computing closed formulas for the number of trees avoiding a single binary tree pattern with 4 or fewer leaves and compare these results to analogous work for contiguous tree patterns. Next, we give an explicit generating function that counts binary trees avoiding a single non-con...

ALS symptom spread results from local spread of the neuronal degeneration because contiguous areas are more quickly involved than non-contiguous areas. Local spread to contiguous areas of motor neuron dysfunction is faster at the brainstem, cervical and lumbar regions than spread to non-contiguous areas. The time for caudal-rostral symptomatic spread of ALS to involve a distant region is a func...