In mathematics, a real-valued function defined on a connected open set is said to have a conjugate (function) if and only if they are respectively the real and imaginary parts of a holomorphic function of the complex variable That is, is conjugate to if is holomorphic on As a first consequence of the definition, they are both harmonic real-valued functions on . Moreover, the conjugate of if it exists, is unique up to an additive constant. Also, is conjugate to if and only if is conjugate to .
| Attributes | Values |
|---|
| rdf:type
| |
| rdfs:label
| - Conjugado armónico (es)
- Harmonic conjugate (en)
- 調和共軛 (zh)
|
| rdfs:comment
| - En matemáticas, se dice que una función de variables reales definida en un conjunto abierto conexo tiene una función conjugada si y sólo si son respectivamente las partes reales e imaginarias de un función holomorfa de variable compleja Es decir, es conjugada de si y solo si es holomorfa en . Como primera consecuencia de la definición, ambas funciones son armónicas en . Además, si existe la conjugada de esta es única salvo una constante aditiva. (es)
- In mathematics, a real-valued function defined on a connected open set is said to have a conjugate (function) if and only if they are respectively the real and imaginary parts of a holomorphic function of the complex variable That is, is conjugate to if is holomorphic on As a first consequence of the definition, they are both harmonic real-valued functions on . Moreover, the conjugate of if it exists, is unique up to an additive constant. Also, is conjugate to if and only if is conjugate to . (en)
- 在數學中，調和共軛（Harmonic conjugate）是針對函數的概念。定義在開集中的函數，另一個函數為其共軛函數的充分必要條件是和需要是全純函數（）的實部及虛部。 因此，若在中為全純函數，就為的共軛函數。而和也是中的调和函数。 在區間內，是共軛函數的充分必要條件是和滿足柯西－黎曼方程。 (zh)
|
| dcterms:subject
| |
| Wikipage page ID
| |
| Wikipage revision ID
| |
| Link from a Wikipage to another Wikipage
| |
| Link from a Wikipage to an external page
| |
| sameAs
| |
| dbp:wikiPageUsesTemplate
| |
| id
| |
| title
| - Conjugate harmonic functions (en)
|
| has abstract
| - En matemáticas, se dice que una función de variables reales definida en un conjunto abierto conexo tiene una función conjugada si y sólo si son respectivamente las partes reales e imaginarias de un función holomorfa de variable compleja Es decir, es conjugada de si y solo si es holomorfa en . Como primera consecuencia de la definición, ambas funciones son armónicas en . Además, si existe la conjugada de esta es única salvo una constante aditiva. (es)
- In mathematics, a real-valued function defined on a connected open set is said to have a conjugate (function) if and only if they are respectively the real and imaginary parts of a holomorphic function of the complex variable That is, is conjugate to if is holomorphic on As a first consequence of the definition, they are both harmonic real-valued functions on . Moreover, the conjugate of if it exists, is unique up to an additive constant. Also, is conjugate to if and only if is conjugate to . (en)
- 在數學中，調和共軛（Harmonic conjugate）是針對函數的概念。定義在開集中的函數，另一個函數為其共軛函數的充分必要條件是和需要是全純函數（）的實部及虛部。 因此，若在中為全純函數，就為的共軛函數。而和也是中的调和函数。 在區間內，是共軛函數的充分必要條件是和滿足柯西－黎曼方程。 (zh)
|
| prov:wasDerivedFrom
| |
| page length (characters) of wiki page
| |
| foaf:isPrimaryTopicOf
| |
| is rdfs:seeAlso
of | |
| is Link from a Wikipage to another Wikipage
of | |
![[RDF Data]](/fct/images/sw-rdf-blue.png)
![[cxml]](/fct/images/cxml_doc.png)
![[csv]](/fct/images/csv_doc.png)
![[text]](/fct/images/ntriples_doc.png)
![[turtle]](/fct/images/n3turtle_doc.png)
![[ld+json]](/fct/images/jsonld_doc.png)
![[rdf+json]](/fct/images/json_doc.png)
![[rdf+xml]](/fct/images/xml_doc.png)
![[atom+xml]](/fct/images/atom_doc.png)
![[html]](/fct/images/html_doc.png)