quantic
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See also: quàntic
English[edit]
Etymology[edit]
From Latin quantus (“how much”).
Noun[edit]
quantic (plural quantics)
- (mathematics) A homogeneous polynomial in two or more variables.
- 1858, Arthur Cayley, “A Fourth Memoir on Quantics”, in Philosophical Transactions of the Royal Society of London, volume 148, published 1859, page 421:
- When the two quantics are the first derived functions of the same quantic of any odd order, the lineo-linear invariant does not vanish, but it is not an invariant of the single quantic.
- 1859, George Salmon, Modern Higher Algebra, page 52:
- 74. The discriminant of a binary quantic, or the eliminant of a system of binary quantics, is an invariant.
We can see a priori that this must be the case, for if a given quantic has a square factor, it will have a square factor still when it is linearly transformed; or if a system of quantics have a common factor, they will still have a common factor when the equations are transformed.
References[edit]
- “quantic”, in Webster’s Revised Unabridged Dictionary, Springfield, Mass.: G. & C. Merriam, 1913, →OCLC.