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By overlaying CpG and expression data onto the trained replication-timing map, we also show that supraHex is able to intuitively capture an inherent relationship between late replication, low CpG density promoters and low expression levels.

Finally, on the map we also see those geographical regions where cases of Leishmaniasis have been reported.

From the interaction map, we also constructed the secondary network which consists of DGs sharing drug interactions.

In an effort to add more information onto the network map, we also included other reliable QTL reported earlier by our and other groups [ 10- 14] 14].

Besides comparing the RAD-tag map to a previously published meiotic map, we also aligned RAD-tag markers to the physical genome (Zv9, Ensembl version 61) by BLASTn.

Before constructing the integrated robust map, we also checked the vector data from bovine SNPs and Ovine SNPs, respectively, and constructed two robust maps for each chromosome.

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By introducing the nonlinear mapping function, we also derive the kernel version of OMMPS, namely orthogonal kernel maximum margin projection subspace (OKMMPS).

As T i is asymptotically quasi-ϕ-nonexpansive mapping, we also have (3.6).

However, instead of a simply syntactical mapping, we also propose the concept of a class model to capture associations and global constraints.

By Theorem 2.2, T λ n f 1 is a firmly nonexpansive mapping; we also know that the identity mapping I is a firmly nonexpansive mapping.

Since (T Cto C) is a hemicontinuous and pseudocontractive mapping, we also know that F is a hemicontinuous and monotone operator.

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