quantic

Synonyymisanakirja

quantic

homogeeninen polynomi, algebrallinen muoto, muoto.

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Englannin sanakirja

quantic englanniksi

  1. puhekieltä A homogeneous polynomial in two or more variables.

  2. 1858, (w), 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=0CFEQ6AEwBgv=onepage&q=%22quantic%22%7C%22quantics%22%20-intitle%3Aquantics&f=false page 421,

  3. 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.
  4. 1859, (w), 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=0CNkDEOgBMFIv=onepage&q=%22quantic%22%7C%22quantics%22%20-intitle%3Aquantics&f=false page 52,

  5. 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.
  6. 1895, (w), http://books.google.com.au/books?id=yXZBygAACAAJ&dq=%22quantic%22%7C%22quantics%22&hl=en&sa=X&ei=fDyXUuKXGMqPkAW9mIHQAw&ved=0CEIQ6AEwAw An Introduction to the Algebra of Quantics, 2011, Facsimile Edition.

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