different between quantic vs sextic
quantic
English
Etymology
From Latin quantus (“how much”).
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, 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.
- 1895, Edwin Bailey Elliott, An Introduction to the Algebra of Quantics, 2011, Facsimile Edition.
- 1858, Arthur Cayley, A Fourth Memoir on Quantics, 1859, Philosophical Transactions of the Royal Society of London, Volume 148, page 421,
References
- quantic in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
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sextic
English
Adjective
sextic (not comparable)
- (mathematics) Of the sixth degree or order.
Noun
sextic (plural sextics)
- (mathematics) An algebraic equation or function of the sixth degree; a curve describing such an equation or function, especially a quantic of the sixth degree.
sextic From the web:
- what is sextic polynomial
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