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(1) Uniqueness feature, f uniq .
Lemma 1 (uniqueness of matrix decomposition with Vandermonde structure) [24]: Consider a matrix decomposition problem of X = A B T, in which A ∈ C I × F is a Vandermonde matrix and B ∈ C J × F is a non-singular square matrix.
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In order to obtain the probe quality score, the calculated parameters were weighted as follows: 0.4 for Tm, 0.3 for uniqueness, 0.2 for GC content, and 0.1 for complexity.
Theorem 4.2 (Uniqueness).
Remark 4.1 (Uniqueness).
Theorem 2.3 (Uniqueness theorem).
Step 3: Uniqueness of the solution.
Theorem 5.2 (uniqueness of the degree).
Part 2 Uniqueness of the maximizers (up to translations).
Step 4: Uniqueness of the common fixed point.
In Section 1.4, uniqueness properties of PARATUCK models are deduced using this link.
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