# substitutions

Noun

- plural form of
*substitution*

- 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. - This arose from the study by Felix Klein and Sophus Lie of a new theory of groups of
**substitutions**; it was shown that there exists an invariant theory connected with every group of linear**substitutions**.

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