Lexic.us

Definition of Reducible

1. Adjective. Capable of being reduced. "Reducible to a set of principles of human nature"

Definition of Reducible

1. a. Capable of being reduced.

Definition of Reducible

1. Adjective. Capable of being reduced. ¹

2. Adjective. (mathematics of a polynomial) Able to be factored into polynomials of lower degree, as $x^2-1$. ¹

3. Adjective. (mathematics of an integer) Able to be factored into smaller integers; composite. ¹

4. Adjective. (topology of a manifold) Containing a sphere of codimension 1 that is not the boundary of a ball. ¹

¹ Source: wiktionary.com

Definition of Reducible

1. [adj]

Medical Definition of Reducible

1. Capable of being reduced. (05 Mar 2000)

Lexicographical Neighbors of Reducible

Literary usage of Reducible

Below you will find example usage of this term as found in modern and/or classical literature:

1. An Introduction to the Theory of Groups of Finite Order by Harold Hilton (1908)
"A substitution-group which can be transformed (by a suitable change of variables) into a group such as G is also called reducible. A group which cannot be ..."

2. Theory of Functions of a Complex Variable by Andrew Russell Forsyth (1893)
"A circuit, which can be reduced to a point by continuous deformation without crossing the boundary, is called reducible; a circuit, which cannot be so ..."

3. The Americana: A Universal Reference Library, Comprising the Arts and ...by Frederick Converse Beach, George Edwin Rines by Frederick Converse Beach, George Edwin Rines (1912)
"(i), but is reducible in R( V — 3) - In fact, If f,, . . . fn are the roots of (i), it is obviously reducible in /?(£,, ... £n). ..."

4. An Elementary Treatise on Elliptic Functions by Arthur Cayley (1876)
"ON TWO INTEGRALS reducible TO ELLIPTIC INTEGRALS. f dx 459. AN integral I — -_- , where P is a quintic function of x, is not in general reducible to ..."

5. An elementary treatise on elliptic functions by Arthur Cayley (1876)
"ON TWO INTEGRALS reducible TO ELLIPTIC INTEGRALS. f dx 459. AN integral (-7=, where P is a quintic function of x, is not in general reducible to elliptic ..."

6. Lessons Introductory to the Modern Higher Algebra by George Salmon (1885)
"It is easy, however, to determine the condition that the given quantic should be reducible to the sum of «, 2n" powers. Thus, for example, the conditions ..."

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