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(i) generation of pseudo-random sequences (pseudo-random sequences are generated by linear feedback shift register and standard chaotic map); (ii) permutation and XORing using pseudo-random sequences; and (iii) steganography using the improved diagonal queues.

The proposed algorithm comprises four stages, generation of pseudo-random sequences (pseudo-random sequences are generated by linear feedback shift register and standard chaotic map), permutation and XORing using pseudo-random sequences, encryption using Rabin cryptosystem, and steganography using the improved diagonal queues.

As a distinctive feature h-coarsened mesh sequences are generated by recursive agglomeration of a fine grid, admitting arbitrarily unstructured grids of complex domains, and agglomeration based discontinuous Galerkin discretizations are employed to deal with agglomerated elements of coarse levels.

The second assumes that the sequences are generated by the same model having pdf.

Let,, and be the same as in Theorem 4.1, and suppose that the sequences are generated by Algorithm 5.1.

The FN sequences are generated by the recursion relation F M =FM−1 + FM−2where M represents the order of the sequence ( M=2,3,4,…).

Both genome sequences were generated by the US Department of Energy Joint Genome Institute.

The consensus sequences were generated by the COBBLER (Consensus Biasing By Locally Embedding Residues) program [36].

The Xist consensus sequences were generated by the AnnHyb program (http://www.bioinformatics.org/annhyb).org/annhyb

Tychosporium acutostipes sequences were generated by Ronan Bakker as part of his undergraduate honor's thesis.

Sequences were generated by pyrosequencing.