View source for Divergence

==English==
{{wikipedia|divergence (disambiguation)|divergence}}

===Etymology===
Morphologically {{suffix|en|diverge|ence|nocat=1}}.

===Pronunciation===
* {{IPA|en|/daɪˈvɜː(ɹ)d͡ʒəns/|/dɪˈvɜː(ɹ)d͡ʒəns/}}
** {{audio|en|LL-Q1860 (eng)-Vealhurl-divergence.wav|a=Southern England}}
* {{rhymes|en|ɜː(ɹ)dʒəns|s=3}}

===Noun===
{{wikipedia|divergence|divergence (operator)}}
{{en-noun|~}}

# The degree to which two or more things [[diverge]].
#: {{ux|en|An angle is made by the '''divergence''' of straight lines.}}
# {{lb|en|calculus}} the [[operator]] which maps a function ''F''=(''F''<sub>1</sub>, ... ''F''<sub>''n''</sub>) from a ''n''-dimensional [[vector space]] to itself to the function <math>\sum_{i=1}^n \frac{\partial F_i}{\partial x_i}</math>
# {{lb|en|obsolete}} [[disagreement]]; [[difference]]
#* {{quote-text|en|year=1852|author=w:George Cornewall Lewis|title=Treatise on the Methods of Observation and Reasoning in Politics
|passage='''divergence''' of thought}}
# The process in which two or more populations accumulate genetic changes (mutations) through time.

====Synonyms====
* {{sense|mathematical operator}} {{l|mul|div}}, {{l|mul|∇·}}

====Antonyms====
* {{l|en|convergence}}

====Coordinate terms====
* {{sense|mathematical operator}} {{l|en|curl}}, {{l|en|gradient}}, {{l|en|compressible}}, {{l|en|solenoidal}}

====Derived terms====
{{col|en|codivergence|divergency|hyperdivergence|hypodivergence|neurodivergence|normodivergence|subdivergence
|divergenceless|nondivergence|overdivergence|underdivergence|point of divergence}}

====Related terms====
* {{l|en|diverge}}
* {{l|en|divergent}}

====Translations====
{{trans-top|the degree of divergence}}
* Albanian: {{t+|sq|divergjencë|f}}
* Armenian: {{t+|hy|տարամիտում}}
* Bulgarian: {{t+|bg|отклоне́ние|n}}
* Catalan: {{t+|ca|divergència|f}}
* Chinese:
*: Mandarin: {{t+|cmn|差異|tr=chāyì}}
* Czech: {{t|cs|divergence|f}}, {{t|cs|rozbíhavost|f}}, {{t|cs|rozbíhání|n}}
* Finnish: {{t+|fi|eroavuus}}
* French: {{t+|fr|divergence|f}}
* German: {{t+|de|Abweichung|f}}
* Irish: {{t|ga|eisréimneacht|f}}
* Japanese: {{t+|ja|発散|tr=はっさん, hassan}}
* Maori: {{t|mi|tangongitanga}}
* Polish: {{t+|pl|rozbieżność|f}}, {{t+|pl|odchylenie|n}}
* Portuguese: {{t+|pt|divergência|f}}
* Romanian: {{t+|ro|divergență|f}}
* Russian: {{t+|ru|расхожде́ние|n}}, {{t+|ru|отклоне́ние|n}}, {{t+|ru|несоотве́тствие|n}}
* Swedish: {{t+|sv|divergens|c}}
{{trans-bottom}}

{{trans-top|mathematical operator}}
* Armenian: {{t+|hy|դիվերգենցիա}}
* Chinese:
*: Mandarin: {{t+|cmn|散度|tr=sàndù}}
* Czech: {{t|cs|divergence|f}}
* Dutch: {{t+|nl|divergentie|f}}
* Finnish: {{t+|fi|divergenssi}}
* French: {{t+|fr|divergence|f}}
* German: {{t+|de|Divergenz|f}}
* Japanese: {{t+|ja|発散|tr=はっさん, hassan}}
* Polish: {{t+|pl|dywergencja|f}}
* Portuguese: {{t+|pt|divergência|f}}, {{t+|pt|divergente|m}}
* Romanian: {{t+|ro|divergență|f}}
* Russian: {{t+|ru|диверге́нция|f}}
* Swedish: {{t+|sv|divergens|c}}
{{trans-bottom}}

====References====
* OED2

{{topics|en|Calculus}}

==Czech==

===Pronunciation===
* {{cs-IPA|[dy]}}

===Noun===
{{cs-noun|f}}

# {{l|en|divergence}}
#: {{ant|cs|konvergence}}

====Declension====
{{cs-ndecl|f}}

====Related terms====
{{col|cs|divergovat|divergentní}}

===Further reading===
* {{R:cs:PSJC}}
* {{R:cs:SSJC}}

==French==

===Etymology===
From {{cog|la|divergentia}}.

===Pronunciation===
* {{fr-IPA}}
* {{audio|fr|Fr-divergence.ogg}}

===Noun===
{{fr-noun|f}}

# [[#Noun|divergence]]

===Further reading===
* {{R:fr:TLFi}}