The general form of the problems that might be solved with this technique is discussed.
The Qualitative Biclustering algorithm (QUBIC) is a recently proposed gene-wise discretization-based biclustering algorithm to solve the general form of the biclustering problem efficiently, including constant, shifting, and scaling patterns [ 20].
Although the general form of this problem is shown to be NP-hard (by association to the well-known NP-complete subset sum decision problem), it has an easy polynomial solution (Boros and Hammer, 2002; Hammer et al., 1968) if certain conditions hold.
The general form of this problem, even for, is yet an open problem that has attracted more researches but it is remarkably inflexible.
In the most general form of this problem (see Figure 1), one transmitter wants to have confidential communication with an arbitrary number of users in a broadcast channel, while this communication is being eavesdropped by an external entity.
Interestingly, this restricted variation of the 3-partition problem remains strongly NP-complete [ 8], just like the general form of the 3-partition problem.
After discretization the evolutionary state problem, associated with the optimal shape problem, is formulated as a sequence of nonsmooth equations and a general form of the optimal design problem is treated by using a nonsmooth approach.
The general form of the nonlinear diffusion problem is given by [1] begin{aligned} &frac{1}{p(x)} bigl(p(x g x,y y^{prime} bigr)^{prime}=F x,y),quad 0< xlend{alignedigned} (1.3) begin{aligned} &y^{prime}(0)=0, end{aligned} (1.4) begin{aligned} &y(1)=h bigl y(0),y(1),y^{prime}(1) bigr).
Definition 12 (The general form of the 3-partition problem) Given a multiset of positive integers A = { a 1, a 2, ⋯, a n } where n = 3 m and ∑ i = 1 n a i = m B, can we partition the multiset A into m multisets A 1, A 2, ⋯, A m, such that the sum of each multiset is equal to B? The 3-partition problem is strongly NP-complete [ 7].
In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem.
