What is the difference between linear and nonlinear linear and nonlinear

Source: Internet
Author: User
Tags constant
1. Linear linear, the relation between the quantity and the quantity in proportion and in the straight line, can be understood mathematically as the function of the first order derivative as the constant, and the nonlinear non-linear refers to the relation of not proportional and non-linear, the first derivative is not constant.
2. Linear can be considered as 1 times curve, such as y=ax+b, that is, a linear nonlinear can be considered to be more than 2 times the curve, such as Y=ax^2+bx+c, (X^2 is x 2), that is not a straight line can
3. The relationship between the two variables is a function--the image is a straight line, and the relationship between the two variables is a "linear relationship"; if it is not a single function--the image is not a straight line, it is a nonlinear relationship
4. "Linear" and "nonlinear" are commonly used to distinguish the dependence of the function y = f (x) on the argument x. A linear function is a function, and its image is a straight line.   Other functions are nonlinear functions whose images are not straight lines.    Linear, which refers to the relationship between quantity and quantity in proportional, straight line, represents rule and smooth motion in space and time, while nonlinearity refers to the relation of non-proportional, not linear, which represents irregular motion and mutation. For example, the normal resistor is a linear element, the voltage U at both ends of the resistor R, and the current flow I, is a linear relationship, that is, R=u/i,r is a destiny. The forward characteristic of a diode is a typical nonlinear relationship, and the voltage u at both ends of the diode is not a fixed ratio to the current I flow, i.e. the forward resistance value of the diode, which is different from the different operating points (U, i).
5. Mathematically, a linear relationship is defined as a y=ax+b between an independent variable x and the dependent variable yo, (a, B is a constant), that is, a linear relationship between X and Y.

Can not be expressed as y=ax+b, (b is constant), that is, non-linear relationship, the nonlinear relationship may be two times, three times such a function relationship, it may be no relationship.

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.