Sentence examples for function as a generalization of a from inspiring English sources

In 1978, Breckner introduced an s-convex function as a generalization of a convex function [1].

In this paper, we introduce the concept of an ({ ( {alpha,m,r} )_{g}} -concave function as a generalization of a concave function.

We have defined the concept of univexity for a path-independent curvilinear vector functional as a generalization of a vector-valued univex function.

Pini [21] introduced the concept of prequasiinvex functions as a generalization of invex functions.

In 1978, Breckner introduced s-convex functions as a generalization of convex functions in [4].

Breckner [16] introduced the s-convex functions, and Varošanec [17] presented the h-convex functions as a generalization of convex functions.

In the presence of externalities, Thrall and Lucas (1963) introduce games in partition function form as a generalization of characteristic function form games. Recently, some game theorists study extensions of the Shapley value for games in partition function form.

In order to achieve this goal, we apply the softmax function, regarding it as a generalization of sigmoid function for the multi-SVM case.

This loss function can be seen as a generalization of the complement of the Area Under a Receiver Operating Characteristic (ROC) curve, AUC for short.

It comports with the idea that an inductive support function is a generalization of the deductive entailment relation.

This objective function is a generalization of the slacks-based measure developed by Tone [ 18].