1. The relationship between the two variables is a linear function-the image is a straight line, so the relationship between the two variables is a "linear relationship"; If it is not a linear function-the image is either a straight line or a "nonlinear relationship". ?

2. For example, if y=kx is linear and y = x 2 is nonlinear, then a linear graph is generally a straight line.

3. "Non-linearity" means "no expected return". The quantity in the linear relationship is proportional: the price of ten oranges is ten times that of one. Non-linearity means that the wholesale price is disproportionate: the price of a large box of oranges is less than the price of one orange multiplied by the number of oranges. The important concept here is "feedback"-the discount in turn affects the number of customers who buy.

Extended data

The difference between linear and nonlinear:

Linearity refers to the proportion and linear relationship between quantities, which can be mathematically understood as a function with a constant first derivative; Nonlinear nonlinearity refers to the relationship between proportionality and linearity, and the first derivative is not constant.

Linear property is one of the properties of convolution operation, that is, if a and b are arbitrary constants, then for functions f(z, y), h(x, y), g(x, y),

{af(x，Y)+bh(z，y)}*g(z，y)=-af(x，y)*g(x，y)+bh(x，y)*g(z，Y).

And:

f(x，y)*{ah(x，y)+bg(x，y)=af(x，y)*h(x，y)+bf(x，y)*g(x，y).？

reference data

Baidu Encyclopedia-Linear