Sentence examples for unbound sequence from inspiring English sources

Since α ˜ k → + ∞ as k → ∞, we know that { u ( k ) } k = 1 ∞ is an unbound sequence of critical points of functional I. Thus, the proof of Theorem 1.1 is complete.

(1.3) It is well known that problem (1.3) has an unbound sequence of variational eigenvalues (lambda_{l}(a)) satisfying a standard min-max characterization, (lambda_{l}(a) rightarrow+infty) ((lrightarrowinfty)).

Conversely, assuming unbound sequence, such as nucleosome-free regions, to be lacking in function can mislead, as they can be critical for the proper control of gene expression [ 2].

We assumed that the majority of the random unbound sequences should remain unbound in Pse.

Our construction of testing data is similar: we choose the next 500 bound sequences and 500 random unbound sequences.

These models were then applied to the Pse orthologs of all bound sequences (at 25% FDR level) and 250 random unbound sequences.

The random unbound sequences were extracted from the genome of D. melanogaster, Release 4 [16], and those overlapped with coding regions or bound regions at 25% FDR were removed.

For each ChIP-seq experiment, we created training and testing data sets, each consisting of 500 bound and 500 randomly chosen unbound sequences.

We trained the binding models of Bcd and Kr in 1000 Mel sequences, half from bound sequences at 1% FDR level, and the other half from random unbound sequences.

To avoid selecting for aptamers non-specifically recognizing the U87MG cell surface, the pool was first incubated for 30 min (up to round 9) or for 15 min (for the following rounds) at 37°C with 107 T98G cells (150-mm cell plate), and unbound sequences were recovered for the selection phase.

After incubation, the cells were washed three times with washing buffer to remove unbound sequences.