Noun

- plural form of
*substitution*

Noun

- plural form of
*substitution*

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

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"substitutions." YourDictionary, n.d. Web. 12 October 2018. <http://www.yourdictionary.com/substitutions>.

**APA Style**

substitutions. (n.d.). Retrieved October 12th, 2018, from http://www.yourdictionary.com/substitutions

- In the theory of surfaces we transform from one set of three rectangular axes to another by the
**substitutions**'X=' by+ cz, Y = a'x + b'y + c'z, Z =a"x+b"y-l-c"z, where X 2+Y2+Z2 = x2+ y2+z2. - But even when I figure out all the
**substitutions**, deciphering the entire notebook will be a long project. - Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational polynomials, permutations, &c., partitions, probabilities; "Linear
**Substitutions**," with the topics determinants, &c., linear**substitutions**, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers. - Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational polynomials, permutations, &c., partitions, probabilities; "Linear
**Substitutions**," with the topics determinants, &c., linear**substitutions**, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers. - Functions, operations, transformations,
**substitutions**, correspondences, are but names for various types of relations.

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- substitutions
- substitutive
- substitutive-nomenclature
- substitutivity