Here is a simple example of a nonlinear function.
Y = X2
=====Build on that!
y=x2 and y=lnx are two examples of nonlinear equations.
linear
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
Maybe possibly a piece-wise function...
No it is not.
Nonlinear devices are components that do not follow a linear relationship between input and output. This means that their response is not proportional to the input signal. Examples include diodes, transistors, and nonlinear capacitors. Nonlinear devices are often used in electronic circuits to perform functions like signal processing and modulation.
Differentials can be used to approximate a nonlinear function as a linear function. They can be used as a "factory" to quickly find partial derivatives. They can be used to test if a function is smooth.
a roller coaster. It doesnt have a constaant rate of change
Any function in which the dependent variable is not exactly proportional to the zeroth or first power of the independent variable. E.g.: y(x) = a*(x+x^3); y(x) = a*exp(x); y(x) = a*sin(x); etc. This may be extended to differential equations by stating a nonlinear differential equation is one in which some function depends on a derivative which is not to the zeroth or first power. An example is: dy/dx - (y(x))^2 = a. Note, all of the values for "a" in these examples are meant to be constants.
To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.
The significance of the logarithm function raised to the power of two, or "log squared," is that it allows for a nonlinear transformation of data. This can be useful in certain mathematical and scientific applications where a nonlinear relationship needs to be represented or analyzed.
The word “intricate” means “very complicated” or “complex.” Some sentence examples: The intricate details and the tremendous amount of skill and precision put into the painting left me dumbfounded. The intricate lines of a zebra's stripes are an instant eye catcher.