Sentence examples for function mathematically from inspiring English sources

This paper not only applies the material removal rate (MRR) into the objective function mathematically, but also implements the calculus of variations to resolve the cutting rate control problem comprehensively.

This function mathematically expressed the researchers' initial view as to what constitutes efficient feeding behavior.

This function mathematically helps to determine the atomic pair distance between two consecutive atoms.

Measurable function: mathematically, let X be a non-empty set, let S be a (sigma )-field of subsets of X, let (f) be a partial function from X to, (overline{mathfrak {R}},overline{mathfrakak {R}}=mathfrak {R}cup left{ {-infty } right} cup left{ {+infty } right} ) and let (A) be an element of S. We say that (f) is measurable on (A)iff: for every real number r holds, as in [12].

The new function is mathematically differentiable.

First, it has been shown that the re-initialization and advection equations of the conservative level-set function are mathematically equivalent to the re-initialization and advection equations of the localized signed distance function.

This function is mathematically expressed as follows.

end{aligned} (5 It is possible to show that this function is mathematically limited to the interval ([-tfrac{pi }{2},tfrac{pi }{2}]).

This method does not require the determination of a cost estimating function that mathematically relates the cost to the variables with the most effect on the cost.

Since the exact correlation function is mathematically unavailable, we use the LMS estimate and average out the noise in the estimation through the recursion.

Estimate the state-action value function (shown mathematically later) that selects future actions given the states.