Since (boldsymbol {Gamma }_{n}) is defined continuously over (mathfrak {C}_{n}) for a given n, we may in principle construct a variational procedure over this control space to derive minimizing 'values' of (boldsymbol {Gamma }_{n}) satisfying a given cost function.
We get our main results by establishing a modified comparison principle, constructing the suitable upper and lower solutions (including the self-similar lower solutions, the eigenfunction argument and the technique of ordinary differential equation and so on) and the auxiliary function.
The principle construct of the guideline development process is that they should be evidence-based and not opinion-based, be fully transparent, and that the developers and sponsoring organization(s) should be free of significant conflict of interest.
By using the unitary extension principle, we constructed tight framelets with desired approximation order from a given smoothed pseudo spline.
By applying this principle, we constructed a high-frequency induction heating system, as shown in Fig. 14 (Uemura 2007).
As a proof of principle, we constructed five libraries of green fluorescent protein (GFP) containing one to five random codon deletions, respectively.
It is known that repeats of different copy number have different probabilities of appearance in shotgun data, so based on this principle, we constructed a statistical model and inferred criteria for mathematically defined repeats (MDRs) at different shotgun coverages.
Further, the sliding mode control principle is constructed to calculate the hysteretic compensating control law, which can guarantee the practical hysteretic characteristic to reach the expected linear output feature.
An apparatus complex on a modular principle is constructed with the help of which the time for determination of reasons and place for breaking of the functional condition of machines is shortened greatly.
We, therefore, decided to apply the same principle and constructed a human codon-optimized nPTB ORF (referred to as nPTB*) with 211 silent mutations, encoding an identical nPTB amino acid sequence (Fig 5).
