Second, nonlinear distribution: nonlinear distribution means that the distribution function is not a linear function. The control problem method of nonlinear distributed parameter system originated from the application of symmetric group, which can be used to determine the group invariant solution of differential system. Invariant conditions in the extended space of differential systems provide the basis for distributed control laws.
Extended data:
Application of linear distribution;
1. Mathematical application: Linear regression has many practical uses. Divided into the following two categories:
(1) If the target is prediction or mapping, linear regression can be used to fit the prediction model to the value of the sum x of the observed data set. When this model is completed, for the newly added X value, the fitted model can be used to predict the Y value without giving a matching Y value. ..
(2) Given a variable Y and some variables X 1, ..., Xp, these variables may be related to Y. Linear regression analysis can be used to quantify the correlation strength between y and Xj, evaluate Xj independent of y, and identify which subsets of Xj contain redundant information about y.
2. Trend line application:
Trend line represents the long-term trend of time series data. It tells us whether a set of specific data (such as GDP, oil price and stock price) has gone up or down in a period of time. Although we can roughly draw a trend line by observing the position of data points in the coordinate system with naked eyes, a more suitable method is to use linear regression to calculate the position and slope of the trend line.
Baidu Encyclopedia-Nonlinear Distribution
Baidu Encyclopedia-Linear Regression