Origin of quantic

from Classical Latin*quantus,*how much (see quantum) + -ic

Math. a rational, homogeneous integral function of two or more variables

Origin of quantic

from Classical LatinWebster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"quantic." YourDictionary, n.d. Web. 14 January 2019. <https://www.yourdictionary.com/quantic>.

**APA Style**

quantic. (n.d.). Retrieved January 14th, 2019, from https://www.yourdictionary.com/quantic

noun

A homogeneous polynomial having two or more variables.

Origin of quantic

LatinTHE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"quantic." YourDictionary, n.d. Web. 14 January 2019. <https://www.yourdictionary.com/quantic>.

**APA Style**

quantic. (n.d.). Retrieved January 14th, 2019, from https://www.yourdictionary.com/quantic

Origin

From Latin *quantus* (“how much").

English Wiktionary. Available under CC-BY-SA license.

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Cite this page

**MLA Style**

"quantic." YourDictionary, n.d. Web. 14 January 2019. <https://www.yourdictionary.com/quantic>.

**APA Style**

quantic. (n.d.). Retrieved January 14th, 2019, from https://www.yourdictionary.com/quantic

- In the theory of forms we seek functions of the coefficients and variables of the original
**quantic**which, save as to a power of the modulus of transformation, are equal to the like functions of the coefficients and variables of the transformed**quantic**. We may have such a function which does not involve the variables, viz. - Instead of a single
**quantic**we may have several f(ao, a1, a2...; x1, x2), 4 (b o, b1, b2,...; x1, x2), ... - If the form, sometimes termed a
**quantic**, be equated to zero the n+I coefficients are equivalent to but n, since one can be made unity by division and the equation is to be regarded as one for the determination of the ratio of the variables. - If the variables of the
**quantic**f(x i, x 2) be subjected to the linear transformation x1 = a12Et2, x2 = a21E1+a2252, E1, being new variables replacing x1, x 2 and the coefficients an, all, a 21, a22, termed the coefficients of substitution (or of transformation), being constants, we arrive at a transformed**quantic**f% 1tn n n-1 n-2 52) = a S +(1)a11 E 2 + (2)a2E1 E 2 +ï¿½ï¿½ï¿½ in the new variables which is of the same order as the original**quantic**; the new coefficients a, a, a'...a are linear functions 0 1 2 n of the original coefficients, and also linear functions of products, of the coefficients of substitution, of the nth degree. - F(a ' a ' a, ...a) =r A F(ao, a1, a2,ï¿½ï¿½ï¿½an), 0 1 2 n the function F(ao, al, a2,...an) is then said to be an invariant of the
**quantic**gud linear transformation.

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