Definition:Form

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Definition

A form is a homogeneous polynomial in $2$ or more variables.

Order

The order of a form is the number of sets of variables it has.

Also known as

When Arthur Cayley and James Joseph Sylvester initiated the study of form, they called them quantics.

Also see

• Results about forms can be found here.

Historical Note

The study of forms was developed by Arthur Cayley and James Joseph Sylvester in the mid-$19$th century.

They originally called them quantics.

In particular, they studied invariants of forms.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): form
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): form