Sentence examples for mean generated by from inspiring English sources

The weighted mean (mathscr{A}_{f} colonbigcup_{n=1}^{infty} I^{n} times W_{n}(mathbb {R} to I) defined this way is called the weighted quasi-arithmetic mean generated by the function f.

The weighted deviation mean generated by (E_{p,q}) will be denoted by (mathscr{G}_{p,q}) and will be called the weighted Gini mean of parameter p, q (cf. [34]).

Clearly, the deviation mean generated by E is determined only by the function f, therefore, as we are going to deal with homogeneous deviation means, let (mathscr{E}_{f}) denote the corresponding deviation mean.

It is well known [21] that a deviation mean generated by a continuous deviation function (Ecolon mathbb {R}_^{2}to mathbb {R}) is homogeneous if and only if E is of the form (E x,y)=g y)f( frac{x}{y})) for some continuous functions (f,gcolon mathbb {R}_to mathbb {R}) such that f vanishes at 1 and g is positive.

To give an indication as to the spread about the mean generated by the algorithms, mean absolute error (MAE) and root mean squared error (RMSE) figures were generated.

Similarly, by Propositions 4.1, 4.2, we can easily present a family of means generated by (4.2).

Being equipped with Propositions 3.1, 3.2, we can easily establish a family of means generated by (3.2).

As mentioned before, in the sequel, we introduce and investigate a new class of means generated by an integral of a function.

In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on ((0,+infty)).

The resulting equations are implemented in a computer code using the mean flow generated by a linear mean flow model as input.

In each of these five cases, large standard deviations around the mean predicted value meant uncertainty generated by the simulation model limited the predictive power of the PVA.