Definition of Irreducibility

1. n. The state or quality of being irreducible.

Definition of Irreducibility

1. Noun. The quality or degree of being irreducible. ¹

2. Noun. Something that is irreducible. ¹

¹ Source: wiktionary.com

Definition of Irreducibility

1. [n -TIES]

Lexicographical Neighbors of Irreducibility

irrecuperably
irrecured
irrecusable
irrecusably
irredeemability
irredeemable
irredeemableness
irredeemably
irredenta
irredentas
irredentism
irredentisms
irredentist
irredentists
irreducibilities
irreducibility (current term)
irreducible
irreducible complexity
irreducible hernia
irreducibleness
irreducibles
irreducibly
irredundant
irreferential
irreflection
irreflective
irreflexive
irreformability
irreformable
irrefragability

Literary usage of Irreducibility

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

1. Mathematische Annalen by Carl Neumann, Otto Blumenthal, Bartel Leendert Waerden, Adolph Mayer, David Hilbert, Alfred Clebsch, Albert Einstein, Constantin Carath�eodory, Erich Hecke, Felix Klein, Heinrich Behnke (1907)
"Criteria for the irreducibility of groups of linear homogeneous transformations. By HENRY TABER of Worcester, USA In what follows G will denote an ..."

2. The Geometric Theory of Ordinary Differential Equations and Algebraic Functions by Georges Valiron (1984)
"... irreducibility The method used in the case A(x,V) ao and In the hypothesis a(x) ... irreducibility."

3. The Pathology, Diagnosis and Treatment of Diseases of the Rectum and Anus by Charles Boyd Kelsey (1884)
"Causes of irreducibility.—Symptoms of Inflamed Hernia.—Seat of Constriction in Strangulation.—Diagnosis.—Treatment.—Method of Reduction. ..."

4. A Treatise on Linear Differential Equations by Thomas Craig (1889)
"... the notion being entirely analogous to that of reducibility and irreducibility in algebraic equations. This subject will be taken up later on for a ..."

5. Introduction to Higher Algebra by Maxime Bôcher (1907)
"... prove that the coefficients of if/ will lie iu the same domain provided <£ ^ 0. 61. The irreducibility of the General Determinant and of the ..."

6. Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field by George Abram Miller, Frederick Shenstone Woods, Leonard Eugene Dickson, Thomas Franklin Holgate, Edward Vermilye Huntington, David Eugene Smith, Oswald Veblen, Gilbert Ames Bliss, J. W. A. (Jacob William Albert) Young (1911)
"28. Primitive roots of unity. 30. Gauss's lemma. 31. irreducibility of the cyclotomic equation. 32. Proofs of theorems cited earlier. 39. References. ..."

7. Mathematische Annalen by Carl Neumann, Otto Blumenthal, Bartel Leendert Waerden, Adolph Mayer, David Hilbert, Alfred Clebsch, Albert Einstein, Constantin Carath�eodory, Erich Hecke, Felix Klein, Heinrich Behnke (1907)
"Criteria for the irreducibility of groups of linear homogeneous transformations. By HENRY TABER of Worcester, USA In what follows G will denote an ..."

8. The Geometric Theory of Ordinary Differential Equations and Algebraic Functions by Georges Valiron (1984)
"... irreducibility The method used in the case A(x,V) ao and In the hypothesis a(x) ... irreducibility."

9. The Pathology, Diagnosis and Treatment of Diseases of the Rectum and Anus by Charles Boyd Kelsey (1884)
"Causes of irreducibility.—Symptoms of Inflamed Hernia.—Seat of Constriction in Strangulation.—Diagnosis.—Treatment.—Method of Reduction. ..."

10. A Treatise on Linear Differential Equations by Thomas Craig (1889)
"... the notion being entirely analogous to that of reducibility and irreducibility in algebraic equations. This subject will be taken up later on for a ..."

11. Introduction to Higher Algebra by Maxime Bôcher (1907)
"... prove that the coefficients of if/ will lie iu the same domain provided <£ ^ 0. 61. The irreducibility of the General Determinant and of the ..."

12. Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field by George Abram Miller, Frederick Shenstone Woods, Leonard Eugene Dickson, Thomas Franklin Holgate, Edward Vermilye Huntington, David Eugene Smith, Oswald Veblen, Gilbert Ames Bliss, J. W. A. (Jacob William Albert) Young (1911)
"28. Primitive roots of unity. 30. Gauss's lemma. 31. irreducibility of the cyclotomic equation. 32. Proofs of theorems cited earlier. 39. References. ..."

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