Sentence examples for the simplest instance from inspiring English sources
This is the simplest instance of so-called digital control25.
And to me, this is the simplest instance of these interactions in computation and statistical models.
One of the simplest instance of relational (or context) effects in perception is that of brightness contrast.
Garey and Johnson [11, 12] show that the simplest instance of the decision problem corresponding to this problem is NP-complete.
Finally, splay states are important in that they provide the simplest instance of asynchronous behaviour and can be thereby used as a testing ground for the stability of a more general class of dynamical regimes.
The simplest instance of such problem is a partial knowledge situation: the discrimination between the (known) vacuum state, (vert 0 rangle), and some coherent state, (vert alpha rangle), where the value of α is not provided beforehand in the classical sense, but instead encoded in a number n of auxiliary modes in the state (vert alpha rangle^{otimes n}).
Due to the size and complexity of the stochastic program and the impossibility of using commercial software in even the simplest instances, two solution methods have been proposed.
The simple instance of a POG represents a chromosome or genomic contig where each node (gene) has an in-degree = out-degree = 1 (except the start and end nodes).
They may be related; for instance, in the simplest case, if someone could not perceive sweet taste (e.g., if granulated sugar tasted like sand), we would not expect that person to seek and consume sweet foods and drink.
However, for this simple instance, the feasible domain can be readily determined and hence the considered optimization problem can be decomposed into three subproblems as begin{aligned}& left { textstylebegin{array}l@ min Z_{1}(mathbf{x}) = 0.08 - (0.3-x_{3})^{2} mbox{subject to:} quad x_{3}in[0, 0.8], end{array}displaystyle right.
base case, which is the simplest, smallest instance of the problem, that can't be decomposed any further.
