Difference between revisions of "Linear form"

Revision as of 08:12, 5 March 2013

A homogeneous polynomial of the first degree (cf. Homogeneous function).

A (homogeneous) linear function on a vector space $V$ over a field $k$ with values in $k$, cf. Linear algebra.

How to Cite This Entry:
Linear form. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_form&oldid=29512

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 A homogeneous polynomial of the first degree (cf. [[Homogeneous function|Homogeneous function]]).
-A (homogeneous) [[Linear function|linear function]] on a [[Vector space|vector space]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059210/l0592101.png" /> over a field <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059210/l0592102.png" /> with values in <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059210/l0592103.png" />, cf. [[Linear-algebra(2)|Linear algebra]].
+A (homogeneous) [[Linear function|linear function]] on a [[Vector space|vector space]] $V$ over a field $k$ with values in $k$, cf. [[Linear-algebra(2)|Linear algebra]].