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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.
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Can nonlinear equations also be functions?
yes
What is a nonlinear scale?
A scale that is nonlinear. ~
Is 5xto the second power plus xto the sixth power equals 12 linear or nonlinear?
Nonlinear
Is nonlinear positive or negative?
Nonlinear can be only positive or only negative, or switch between the two over its domain.
What does nonlinear and linear mean?
Linear means anything that forms a straight line. Nonlinear means the opposite. Something that doesn't form a straight line.
identity linear and nonlinear functions from graph?
identity linear and nonlinear functions from graph
Can nonlinear equations also be functions?
yes
What is nonlinear relations?
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.
What is nonlinear devices?
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.
Are the OP AMPS always linear?
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.
What is the difference between linear and nonlinear demand functions?
distinguish between linear and non linear demands funcions
How can the scaling parameters of nonlinear functions be optimized for improved performance?
The scaling parameters of nonlinear functions can be optimized for better performance by adjusting them to ensure that the function outputs are within a desired range. This can be done through techniques such as gradient descent or genetic algorithms to find the optimal values that minimize errors and improve the function's overall performance.
What is a nonlinear scale?
A scale that is nonlinear. ~
Nonlinear model of communication?
what is nonlinear?can anybody give me this answer.
What has the author Donald A Pierre written?
Donald A. Pierre has written: 'Mathematical programming via augmented lagrangians' -- subject(s): Lagrangian functions, Nonlinear programming
When was Nonlinear Oscillations - journal - created?
Nonlinear Oscillations - journal - was created in 1998.
What is an equation for nonlinear?
an nonlinear equation can be y=3x m dose not equal 7
