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At the moment, sequencing DNA is slow and expensive.
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The main tool in the construction comes from the theory of indeterminate Stieltjes moment sequences.
Then g ∗≥0 is even and has the same moment sequence as g.
If is the moment sequence defined by,, then it is clear that.
Let s be a non-vanishing Stieltjes moment sequence and let μ be a representing measure of it.
It is shown that there exists a closed non-hyponormal operator S which generates Stieltjes moment sequences.
From this theorem, we know (see [1]) that a completely monotonic sequence is a moment sequence and is as follows.
We have g ∗=g+m≠g, which is nonnegative and has the same moment sequence as g.
A linear operator S in a complex Hilbert space H for which the set D∞(S) of its C∞-vectors is dense in H and {‖Snf‖2}n="0∞ is a Stieltjes moment sequence for every f∈D∞(S) is said to generate Stieltjes moment sequences.
Next, we assume only the knowledge of the moment sequence ({ mu_{k} }_{k = 0,1,ldots,2n}) and suppose that the Hankel determinants (D_{k}), (k = 0,1,ldots,n), are positive.
In this paper, we construct a series of consecutive granule-MDCT 2D images to directly calculate the Zernike moment sequence in the MP3 compressed domain.
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