linearity
n.
state of being linear, quality of being made of lines; degree of accuracy of the picture on a television screen; (Electronics) degree of the direct relation between stimulus and response
Lincoln Near-Earth Asteroid Research
Linear
For other uses, see Linear (disambiguation)}}}. The word linear comes from the
Latin word linearis, which means created by lines. In
mathematics, a linear
function f(x) is one which satisfies the following two properties (but see below for a slightly different usage of the term):Additivity property (also called the
superposition property): f(x + y) = f(x) + f(y). This says that f is a
group homomorphism with respect to addition.Homogeneity property: f(αx) = αf(x) for all α. It turns out that homogeneity follows from the additivity property in all cases where α is rational. In that case if the linear function is continuous, homogeneity is not an additional axiom to establish if the additivity property is established.
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linearity
Noun
1. the property of having one dimension
(synonym) one-dimensionality
(hypernym) dimensionality
linearity
The property of a
system in which, if
input signals X and Y result in system
output S (X ) and S (Y ) respectively, the input
signal aX + bY will result in the output aS (X ) + bS (Y ), where S is the system
transfer function and a and b are scalars.
linearity
"The linear range of detectability that obeys Beer’s Law is dependent on the compound analyzed and detector used. The working sample concentration and samples tested for accuracy should be in the linear range".