Sentence examples for minimum functions from inspiring English sources

of order ν on the (unit) q-simplex including the minimum functions over all subsets of at most ν⩽q variables is considered.

We note that the functions in Λ k satisfy that their behavior is enveloped by the maximum and minimum functions of its variables, which is a common hypothesis in studying higher order nonlinear difference equations.

The remaining variables used in the behavioural cost function specification are not part of the cost minimization question but can be used to explain deviation of observed unit costs from the theoretical minimum functions – e.g., possible reasons for inefficiency [ 3].

But the service had trouble even with its minimum function of reporting the actual vote.

Thus, the minimum function (min{f_{i}:i=1,2,ldots,m}) is a Lipschitz continuous function.

Figures 1 and 2 are sample plots of two maximum and minimum function optimization results.

For the resource allocation problem with the minimum function, this was not obvious.

In order to solve it numerically, we introduce a minimum function (Kanzow 2004; Kräutle 2011), to transform the inequalities.

For the polyphase code design problem, HdABC obtains the minimum function value compared with the other algorithms over 25 trials.

In a following step, the other rate in the minimum function might become worse and the subcarrier assignments can change.

By suitable approximation of the "minimum" function we then obtain from Corollary 4.1 the following analogue of Theorem 1.4.