Definitions for irreducibility
ir·re·ducibil·i·ty

WiktionaryRate this definition:0.0 / 0 votes

1. irreducibilitynoun

   The quality or degree of being irreducible.

2. irreducibilitynoun

   Something that is irreducible.

WikipediaRate this definition:0.0 / 0 votes

1. irreducibility

   In philosophy, systems theory, science, and art, emergence occurs when an entity is observed to have properties its parts do not have on their own, properties or behaviors that emerge only when the parts interact in a wider whole. Emergence plays a central role in theories of integrative levels and of complex systems. For instance, the phenomenon of life as studied in biology is an emergent property of chemistry. In philosophy, theories that emphasize emergent properties have been called emergentism.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Irreducibilitynoun

   the state or quality of being irreducible

WikidataRate this definition:0.0 / 0 votes

1. Irreducibility

   In mathematics, the concept of irreducibility is used in several ways. ⁕In abstract algebra, irreducible can be an abbreviation for irreducible element of an integral domain; for example an irreducible polynomial. ⁕In representation theory, an irreducible representation is a nontrivial representation with no nontrivial proper subrepresentations. Similarly, an irreducible module is another name for a simple module. ⁕Absolutely irreducible is a term applied to mean irreducible, even after any finite extension of the field of coefficients. It applies in various situations, for example to irreducibility of a linear representation, or of an algebraic variety; where it means just the same as irreducible over an algebraic closure. ⁕In commutative algebra, a commutative ring R is irreducible if its prime spectrum, that is, the topological space Spec R, is an irreducible topological space. ⁕A directed graph is irreducible if, given any two vertices, there exists a directed path from the first vertex to the second. This is equivalent to the digraph being strongly connected. The term derives from the fact that a digraph is irreducible if and only if its adjacency matrix is irreducible.¹¹

How to pronounce irreducibility?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say irreducibility in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of irreducibility in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of irreducibility in Pythagorean Numerology is: 2

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References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Irreducibility
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Irreducibility
3. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/irreducibility
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=irreducibility