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
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.
y=x2 and y=lnx are two examples of nonlinear equations.
A Thousand Years of Nonlinear History was created in 1997.