Sentence examples for simplest formulations from inspiring English sources

One of the simplest formulations is as follows: left{ begin{array}{rcl} frac{dmathbf{x}}{dt} &=& f(mathbf{x}, mathbf{u}), mathbf{y} &=& g(mathbf{x}, mathbf{u}), end{array} right.

The simplest formulations allow explicit solutions to be computed using numerical linear algebra in combination with some logic and engineering solutions, while the more challenging formulations with nonlinear models or complex constraints and objectives call for iterative numerical optimization procedures.

There has been some skepticism regarding the global city thesis in its simplest formulation.

To reduce it to its simplest formulation: if those Mickey Mouse ears aren't selling in Orlando, there's less chalk in the classrooms of Gainesville.

results in the simplest formulation, and so the complete set of variables is denoted by x ε.

Lithium-air is probably the purest and earthiest battery chemistry possible, because in its simplest formulation it involves nothing but lithium, oxygen, and carbon the lightest metal in the universe and two essential elements of all living beings.

The simplest formulation of these self-adjointness conditions makes use of quasi-derivatives, and we will henceforth mostly use quasi-derivatives (y^{[j]}) rather than derivatives (y^{(j)}).

For two-way RIL by selfing with two loci, the simplest formulation would give 2 = 16 possible states (two possible alleles at each locus on each of the two chromosomes).

In the simplest formulation of LLE, the method will preserve weights for each data point to the surrounding K nearest neighbours per data point, as measured by Euclidean distance from a point of interest.

Alternative simpler formulations, which retain only the notion of classes, classes of classes, etc., were formulated by Gödel and Tarski.

His arguments for rejecting the simple formulations of radical liberalism did indeed have conservative implications, emphasizing limits more than possibilities.