or rational functions. For example, x^2 + y^2 ≤ 4 is a nonlinear inequality that represents a circle with radius 2 and center at the origin. To solve and graph nonlinear inequalities and systems ...

In such cases a non-linear function must be used. Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line. A curved line is a line whose direction ...

Some researchers have used some methods based on the optimization problem [4] . But in many applications for nonlinear and nonsmooth functions, we are faced to some problems. In fact, piecewise ...

Abstract: We show how to use a discrete-variable factor graph for learning non-linear continuous functions from examples. The paper proposes a scheme for embedding soft quantization in a probabilistic ...

Linear and nonlinear functions are the building blocks of algebra. They are essential to the understanding of graphs, equations, and the principles that govern the study of mathematics beyond the ...

Abstract: Activation functions are crucial in graph neural networks (GNNs) as they allow defining a nonlinear family of functions to capture the relationship between the input graph data and their ...