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.
linear
linear, if side is x then perimeter is 4x
If you mean y = x2, then yes, it is nonlinear.
y=x2 and y=lnx are two examples of nonlinear equations.
Nonlinear scaling is a scaling where the difference between each major unit of measure is not the same. For example, see logarithmic scale.
Here is a simple example of a nonlinear function. Y = X2 =====Build on that!
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.
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
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.
linear, if side is x then perimeter is 4x
A scale that is nonlinear. ~
o function is given. However, if linear , then the rate of change is the same as the steepness of the graph line.