Definitions for trichotomy
trɪˈkɒt ə mitri·choto·my

Princeton's WordNetRate this definition:0.0 / 0 votes

1. trichotomynoun

   being threefold; a classification into three parts or subclasses

WiktionaryRate this definition:0.0 / 0 votes

1. trichotomynoun

   Division or separation into three groups or pieces.

2. trichotomynoun

   the following property of an order relation (e.g., "less than"): for any two elements (of a given algebraic structure) there are exactly three possibilities: either the first element is less than the second one, the second element is less than the first one, or the two elements are equal.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Trichotomynoun

   Division into three parts.

   Some disturb the order of nature by dichotomies, trichotomies, sevens, twelves: let the subject with the design you have in view determine the number of parts into which you divide it. Isaac Watts.

ChatGPTRate this definition:0.0 / 0 votes

1. trichotomy

   A trichotomy is a division into three parts, categories, or classes, especially when these are sharply differentiated or opposed. It refers to a situation where there are three, and only three, distinct possibilities or options.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Trichotomynoun

   division into three parts

WikidataRate this definition:0.0 / 0 votes

1. Trichotomy

   In mathematics, the Law of Trichotomy states that every real number is either positive, negative, or zero. More generally, trichotomy is the property of an order relation < on a set X that for any x and y, exactly one of the following holds:, or . In mathematical notation, this is Assuming that the ordering is irreflexive and transitive, this can be simplified to In classical logic, this axiom of trichotomy holds for ordinary comparison between real numbers and therefore also for comparisons between integers and between rational numbers. The law does not hold in general in intuitionistic logic. In ZF set theory and Bernays set theory, the law of trichotomy holds between the cardinal numbers of well-orderable sets even without the axiom of choice. If the axiom of choice holds, then tricotomy holds between arbitrary cardinal numbers. More generally, a binary relation R on X is trichotomous if for all x and y in X exactly one of xRy, yRx or x=y holds. If such a relation is also transitive it is a strict total order; this is a special case of a strict weak order. For example, in the case of three element set {a,b,c} the relation R given by aRb, aRc, bRc is a strict total order, while the relation R given by the cyclic aRb, bRc, cRa is a non-transitive trichotomous relation.

Matched Categories

1. • Classification

Usage in printed sourcesFrom: 

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How to pronounce trichotomy?

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

   British

   Fred

   US English

   Tessa

   South African

How to say trichotomy in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of trichotomy in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of trichotomy in Pythagorean Numerology is: 2

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=trichotomy
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Trichotomy
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=trichotomy
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/trichotomy
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=trichotomy
7. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=trichotomy