Dictionary

quantic

Noun

quantic (plural quantics)

(mathematics) A homogeneous polynomial in two or more variables.
- 1858, Arthur Cayley, A Fourth Memoir on Quantics, 1859, Philosophical Transactions of the Royal Society of London, Volume 148, [http://books.google.com.au/books?id=flFFAAAAcAAJ&pg=PA421&dq=%22quantic%22%7C%22quantics%22+-intitle:quantics&hl=en&sa=X&ei=eD2XUsPkMcTlkgXx74GQCg&ved=0CFEQ6AEwBg#v=onepage&q=%22quantic%22%7C%22quantics%22%20-intitle%3Aquantics&f=false 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, [http://books.google.com.au/books?id=oPIaY_5OIhcC&pg=PA52&dq=%22quantic%22%7C%22quantics%22+-intitle:quantics&hl=en&sa=X&ei=eD2XUsPkMcTlkgXx74GQCg&ved=0CNkDEOgBMFI#v=onepage&q=%22quantic%22%7C%22quantics%22%20-intitle%3Aquantics&f=false 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.
- 1895, Edwin Bailey Elliott, An Introduction to the Algebra of Quantics ↗, 2011, Facsimile Edition.

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