The combination of classical methods from molecular biology with high-throughput sequencing, as used in ChIP-seq (Johnson et al., 2007), DNaseI-seq (Boyle et al., 2008) and MNase-seq (Schones et al., 2008), has dramatically increased the scale at which genomic sequences can be assayed for various properties of function.
For the various properties of these functions, please refer to [25], pp.255-260.
Now, later on in this lecture, and actually also as the discussion of the Laplace transform goes on, we'll begin to see and understand more about how the region of convergence relates to various properties of the time function.
This, together with standard techniques for the complex Monge Ampère operator, e.g. integrating by parts, is often used to prove various properties of the Green function.
Recently, Nisar et al. [17] introduced and studied various properties of k-Struve function (mathtt{S}_{ nu,c}^{mathtt{k}}) defined by mathtt{S}_{nu,c}^{mathtt{k}}(x):=sum _{r=0}^{infty }frac{ -c)^{r}frac{ -c_{mathtt{k}}(rmathtt{k}+nu +frac{3mathtt{k}}{2})Gamma (r+ frac{3}{2})} biggl( frac{x}{2} biggr) ^{r}+frac{nu }{mathtt{k}}+1}.
The object of the present paper is to investigate the various properties of multivalent harmonic functions belonging to the subclass S H ¯ μ q ( n, p, λ, α ).
For various properties of the k-gamma function and its applications to generalize other related functions such as k-beta function and k-digamma function, we refer the interested reader, for example, to [1 3] and the references cited therein.
Machine learning has been applied to a range of biological problems [ 21], including the prediction of various properties of genes such as function or phenotype [ 22- 25] and network interactions [ 26].
Various properties of the Mittag-Leffler functions were presented and surveyed in [3].
Furthermore we study various properties of the generalized regularized gap functions in random fuzzy mappings and derive the global error bounds for random generalized variational inequality problems.
In our case, we wished to analyze the frequency of nondisjunction as a function of various properties of the parental animals.
