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By transforming differential equations into algebraic equations, the solution may be found by determining the corresponding coefficients that satisfy the algebraic equations.
Hence, the matching frame pairs between video sequences and can be found by determining the optimal path (i.e., the path with minimum final matching cost ).
Shor's algorithm (1994) exploits the ingenious number theoretic argument that two prime factors \ p,q\) of a positive integer \(N=pq\) can be found by determining the period of a function \(f(x) = y^x \\textrm{mod}\ N\), for any \ y \lt N\) which has no common factors with \(N\) other than 1 (Nielsen and Chuang 2000, App. 4).
Therefore the best (w.r.t cost minimization) Hamiltonian tour (H^*) visiting the clusters in a given sequence can be found by determining all the shortest paths from each (vin V_{k_1}) to each (w'in V_{k_1}) with the property that visits exactly one node from cluster.
If this tragedy is going to be a teachable moment, the lesson won't be found by determining whose vitriol is warranted.
The expected value for a randomly generated list of kinase substrates can be found by determining the cardinality of the set of substrates that are targeted by specific kinases (or family of kinases) dividing such number by the total number of substrates in the background dataset.
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The orientation of the field is found by determining the peaks of the PMD as a function of streaking angle (b), thereby giving us a systematic offset between the polarizer's frame and REMI's frame.
The insoluble residue was first dried at 100 °C and then at 1,000 °C; the degree of reaction, αFA, was found by determining weight loss.
This displacement, D, is found by determining the distance from an atom to the next (N) and the previous (P) atoms in the atom plane, and divide the difference (N−P) by 4. This gives the distance the oxygen atom deviates from a centrosymmetric position, and is shown in the inset in Fig. 2b.
The limits of detection for this method mentioned above were 0.001 mgkg−1, which were found by determining the lowest concentrations of the residues in each of the matrices that could be reproducibly measured at the operating conditions of the GC using the quotient of 3.3 σ and the slope of the calibration curve.
The enzyme concentration within HBV nucleocapsid preparations was found by determining the level of covalently-linked HBV DNA using quantitative real-time PCR [9] and converting to genome equivalents [1 pg double stranded HBV DNA =���3×105 genome equivalents [34]].
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