it's linear if for any x,y,k values: f(k*x + (1-k)*y) = k*f(x) + (1-k)*f(y)
or, an equivalent condition:
it's linear if for any k value: f(k) = k*f(1) + (1-k)*f(0) = f(0) + k*(f(1)-f(0))
examples:
f(x) = 7, x, 2x, 11-3x
non-linear in any other case. examples:
f(x)=x^2, sin(x), 1/x, ln x
A non linear function is any function that can't be graphed as a straight line. Basically, it is every single function except one that can be represented by the function y = m*x + b.
A function which doesn't form a line. It could form a parabola. These can be achieved from quadratic functions, cubic functions, etc.
yes
A scale that is nonlinear. ~
Nonlinear
Nonlinear can be only positive or only negative, or switch between the two over its domain.
== Linear equations are those that use only linear functions and operations. Examples of linearity: differentiation, integration, addition, subtraction, logarithms, multiplication or division by a constant, etc. Examples of non-linearity: trigonometric functions (sin, cos, tan, etc.), multiplication or division by variables.
yes
Nonlinear relations are mathematical relationships between variables where the graph of the relationship is not a straight line. This means that as one variable changes, the other variable does not change by a constant rate, resulting in a curved or non-linear shape on a graph. Examples of nonlinear relations include quadratic functions, exponential functions, and trigonometric functions.
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.
not when they hit the power rail they aren't. or did you mean an opamp in a feedback circuit? the feedback circuit can give them a wide variety of transfer functions, some linear some nonlinear. nonlinear transfer functions include LOG, ANTILOG, GYRATION, SQRT, etc.
distinguish between linear and non linear demands funcions
A scale that is nonlinear. ~
what is nonlinear?can anybody give me this answer.
Donald A. Pierre has written: 'Mathematical programming via augmented lagrangians' -- subject(s): Lagrangian functions, Nonlinear programming
Nonlinear Oscillations - journal - was created in 1998.
an nonlinear equation can be y=3x m dose not equal 7
A nonlinear graph doesn't make a straight line.
If you mean y = x2, then yes, it is nonlinear.