Wiktionary
n. (context linear algebra English) linear functional
Wikipedia
In linear algebra, a linear functional or linear form (also called a one-form or covector) is a linear map from a vector space to its field of scalars. In ℝ, if vectors are represented as column vectors, then linear functionals are represented as row vectors, and their action on vectors is given by the dot product, or the matrix product with the row vector on the left and the column vector on the right. In general, if V is a vector space over a field k, then a linear functional f is a function from V to k that is linear:
f(v⃗ + w⃗) = f(v⃗) + f(w⃗)
for all v⃗, w⃗ ∈ V
f(av⃗) = af(v⃗)
for all v⃗ ∈ V, a ∈ k.
The set of all linear functionals from V to k, Hom(V,k), forms a vector space over k with the addition of the operations of addition and scalar multiplication (defined pointwise). This space is called the dual space of V, or sometimes the algebraic dual space, to distinguish it from the continuous dual space. It is often written V or V′ when the field k is understood.
Usage examples of "linear form".
If I did not wish to send a two-dimensional image of that molecule, but chose, rather, to code it into some linear form, a series of successive signals, the place in the benzene ring from which I would begin my description would be unimportant.
The act of writing, as both Plato and Zairean bard recognized, fixes the fluid, dynamic memory of oral cultures into linear form.
The linear form is much superior, because a few stylized strokes replace the picture, as in the Babylonian cuneiform, done entirely by wedge-shaped imprints on clay.
We are therefore called upon to find out what form we can give this side of the equation so as to express the time-factor in a manner which is in accord with our conception of time, that is, in linear form.
A dark, linear form she hoped was a tree trunk bobbed along in the wake of an automobile.
Her shadow was moving, a short linear form bringing in a new component.
Time, the aeon and the second, were representations of a linear form of thinking, a crude attempt to create a framework of logic out of endless chaos, to make understandable that which was, essentially, beyond logic.
The conduit gave the pulse a linear form, so it didn't fry your suit too.