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Linear form
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== Visualization == [[File:Gradient 1-form.svg|thumb|200px|Geometric interpretation of a 1-form '''Ξ±''' as a stack of [[hyperplane]]s of constant value, each corresponding to those vectors that '''Ξ±''' maps to a given scalar value shown next to it along with the "sense" of increase. The {{color box|purple}} zero plane is through the origin.]] In finite dimensions, a linear functional can be visualized in terms of its [[level set]]s, the sets of vectors which map to a given value. In three dimensions, the level sets of a linear functional are a family of mutually parallel planes; in higher dimensions, they are parallel [[hyperplane]]s. This method of visualizing linear functionals is sometimes introduced in [[general relativity]] texts, such as [[Gravitation (book)|''Gravitation'']] by {{harvtxt|Misner|Thorne|Wheeler|1973}}.
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