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Simply speaking, the unranking of decomposable structures (like for instance RNA secondary structures which can be uniquely decomposed into distinct structural components) works as follows: Each structure s in the combinatorial class S n of all feasible structures having size n is given a number (rank) i ∈ 0,..., card S n - 1, defined by a particular ranking method.
More specifically, a mixture of R signals, each generated by L r poles, can be uniquely decomposed into rank- (L r,L r,1) terms [27].
A matrix transpose, denoted M ′, is the matrix whose (j,i) th element is the (i,j) th element of M. Matrices like M can be uniquely decomposed into eigenvalues (roots) and eigenvectors.
We prove that every Lie derivation on a C∗-algebra is in standard form, that is, it can be uniquely decomposed into the sum of a derivation and a centre-valued trace.
An arbitrary secondary structure can be uniquely decomposed into a collection of mutually disjoint loops.
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Thus, a form ω is uniquely decomposed as ω = P τ ω + P T ω.
They're heeding the economist Joseph Schumpeter: "Innovations are changes... which cannot be decomposed into infinitesimal steps.
When an augmented reality system is used, d i may be decomposed into the elements of (3) (similar to (2), but decomposing dother into three new corrections).
In many cases, the loci present a simple topology which can be trivially and uniquely decomposed as one or two transcripts.
FVs can be further decomposed into several sub-FVs.
Neutral factors are removed before studies are decomposed into comparisons.
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