A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR)
This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been p...
- Autores:
-
Gómez-Villarraga, Fernando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Universidad Católica de Colombia
- Repositorio:
- RIUCaC - Repositorio U. Católica
- Idioma:
- eng
- OAI Identifier:
- oai:repository.ucatolica.edu.co:10983/25600
- Acceso en línea:
- https://hdl.handle.net/10983/25600
- Palabra clave:
- ECONOMÍA MATEMÁTICA
TEOREMA DE ROLLE
MÚLTIPLES TASAS INTERNAS DE RETORNO
- Rights
- openAccess
- License
- Copyright, Universidad Católica de Colombia, 2019
| id |
UCATOLICA2_37d39991fc1bdc1f359e93193ffac3d7 |
|---|---|
| oai_identifier_str |
oai:repository.ucatolica.edu.co:10983/25600 |
| network_acronym_str |
UCATOLICA2 |
| network_name_str |
RIUCaC - Repositorio U. Católica |
| repository_id_str |
|
| dc.title.spa.fl_str_mv |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| dc.title.alternative.spa.fl_str_mv |
Una extensión simple del teorema de Rolle y su relación con múltiples tasas internas de retorno (TIR) Uma simples extensão do teorema de Rolle e sua relação com múltiplas taxas internas de retorno (TIR) |
| title |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| spellingShingle |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) ECONOMÍA MATEMÁTICA TEOREMA DE ROLLE MÚLTIPLES TASAS INTERNAS DE RETORNO |
| title_short |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| title_full |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| title_fullStr |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| title_full_unstemmed |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| title_sort |
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| dc.creator.fl_str_mv |
Gómez-Villarraga, Fernando |
| dc.contributor.author.none.fl_str_mv |
Gómez-Villarraga, Fernando |
| dc.subject.armarc.none.fl_str_mv |
ECONOMÍA MATEMÁTICA |
| topic |
ECONOMÍA MATEMÁTICA TEOREMA DE ROLLE MÚLTIPLES TASAS INTERNAS DE RETORNO |
| dc.subject.proposal.spa.fl_str_mv |
TEOREMA DE ROLLE MÚLTIPLES TASAS INTERNAS DE RETORNO |
| description |
This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been presented. Illustrative examples have also been developed for each case that can be obtained by applying the extension. Finally, the study examines the relation of this theorem with the problem of multiple internal rates of return (IRR). |
| publishDate |
2019 |
| dc.date.issued.none.fl_str_mv |
2019-07 |
| dc.date.accessioned.none.fl_str_mv |
2021-02-25T15:01:37Z |
| dc.date.available.none.fl_str_mv |
2021-02-25T15:01:37Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
| dc.type.content.spa.fl_str_mv |
Text |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| format |
http://purl.org/coar/resource_type/c_6501 |
| status_str |
publishedVersion |
| dc.identifier.citation.none.fl_str_mv |
Gómez-Villarraga, F. (2019). A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR). Revista de Finanzas y Política Económica, 11(2), 237-254. |
| dc.identifier.issn.none.fl_str_mv |
2248-6046 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/10983/25600 |
| identifier_str_mv |
Gómez-Villarraga, F. (2019). A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR). Revista de Finanzas y Política Económica, 11(2), 237-254. 2248-6046 |
| url |
https://hdl.handle.net/10983/25600 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.citationendpage.spa.fl_str_mv |
254 |
| dc.relation.citationissue.spa.fl_str_mv |
2 |
| dc.relation.citationstartpage.spa.fl_str_mv |
237 |
| dc.relation.citationvolume.spa.fl_str_mv |
11 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Revista Finanzas y Política Económica |
| dc.relation.references.spa.fl_str_mv |
Cissell, R., Cissell H., & Flaspohler D. C. (1990). Mathematics of Finance. Boston: Houghton Mifflin Co. Leithold, L. (1995). The Calculus 7. New York: HarperCollins College Publishers. Martínez de la Rosa, F. (2008). Panorámica de los teoremas de valor medio. Miscelánea matemática, 47, 23-38. http://www.miscelaneamatematica.org/Misc47/4703.pdf Pérez-Chavela E. & Petakos K. (2009). Una nota sobre el teorema de Rolle. Miscelánea matemática, 50, 89-94. Tan, S. T. (2011). Calculus: Early Transcendentals. Boston: Cengage Learning. Vélez Pareja, I. A. (2002). Decisiones de inversión. Enfocado a la valoración de empresas. Bogotá: CEJA. |
| dc.rights.spa.fl_str_mv |
Copyright, Universidad Católica de Colombia, 2019 |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
| dc.rights.creativecommons.spa.fl_str_mv |
Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) |
| rights_invalid_str_mv |
Copyright, Universidad Católica de Colombia, 2019 Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.extent.spa.fl_str_mv |
18 páginas |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Universidad Católica de Colombia. Facultad de Ciencias Económicas y Administrativas |
| dc.publisher.place.spa.fl_str_mv |
Bogotá |
| institution |
Universidad Católica de Colombia |
| bitstream.url.fl_str_mv |
https://repository.ucatolica.edu.co/bitstreams/d6fb9118-a065-479c-9dad-c3647005c2e9/download https://repository.ucatolica.edu.co/bitstreams/74535461-3003-4e89-ab40-61b02f48fe64/download https://repository.ucatolica.edu.co/bitstreams/13ec784d-de19-4c19-820b-89c44e8a486d/download |
| bitstream.checksum.fl_str_mv |
1275cb49befbc095f94e9b4f9ee31b96 f98513802b4953cd08c6d25999e394ca 02e470bd2e9098d03dd5140b0c462731 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad Católica de Colombia - RIUCaC |
| repository.mail.fl_str_mv |
bdigital@metabiblioteca.com |
| _version_ |
1814256314763706368 |
| spelling |
Gómez-Villarraga, Fernando9d20bbb3-0129-4a6a-9e0a-fef61013957c-12021-02-25T15:01:37Z2021-02-25T15:01:37Z2019-07This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been presented. Illustrative examples have also been developed for each case that can be obtained by applying the extension. Finally, the study examines the relation of this theorem with the problem of multiple internal rates of return (IRR).En este artículo se presenta una extensión simple del teorema de Rolle. Esta extensión permite determinar la cantidad de números ξi en los que f'(ξi) = 0 en un intervalo dado utilizando las características de la función f en ese intervalo. La extensión ha sido probada y se presenta la interpretación geométrica. Se han desarrollado ejemplos ilustrativos para cada uno de los casos que se pueden obtener aplicando la extensión. Se presenta la relación de este teorema con el problema de las múltiples tasas internas de retorno (TIR).Apresenta-se uma simples extensão do teorema de Rolle, a qual permite determinar a quantidade de Números ξi em que f'(ξi) = 0, num intervalo dado, utiliza as características da função nesse intervalo. A extensão foi testada e é apresentada a interpretação geométrica. Exemplos ilustrativos foram desenvolvidos para cada um dos casos que podem ser obtidos a partir da extensão. Além disso, é apresentada a relação desse teorema com o problema das múltiplas taxas internas de retorno.18 páginasapplication/pdfGómez-Villarraga, F. (2019). A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR). Revista de Finanzas y Política Económica, 11(2), 237-254.2248-6046https://hdl.handle.net/10983/25600engUniversidad Católica de Colombia. Facultad de Ciencias Económicas y AdministrativasBogotá254223711Revista Finanzas y Política EconómicaCissell, R., Cissell H., & Flaspohler D. C. (1990). Mathematics of Finance. Boston: Houghton Mifflin Co.Leithold, L. (1995). The Calculus 7. New York: HarperCollins College Publishers.Martínez de la Rosa, F. (2008). Panorámica de los teoremas de valor medio. Miscelánea matemática, 47, 23-38. http://www.miscelaneamatematica.org/Misc47/4703.pdfPérez-Chavela E. & Petakos K. (2009). Una nota sobre el teorema de Rolle. Miscelánea matemática, 50, 89-94.Tan, S. T. (2011). Calculus: Early Transcendentals. Boston: Cengage Learning.Vélez Pareja, I. A. (2002). Decisiones de inversión. Enfocado a la valoración de empresas. Bogotá: CEJA.Copyright, Universidad Católica de Colombia, 2019info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2ECONOMÍA MATEMÁTICATEOREMA DE ROLLEMÚLTIPLES TASAS INTERNAS DE RETORNOA simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR)Una extensión simple del teorema de Rolle y su relación con múltiples tasas internas de retorno (TIR)Uma simples extensão do teorema de Rolle e sua relação com múltiplas taxas internas de retorno (TIR)Artículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85PublicationORIGINAL2376-Texto del artículo-19825-3-10-20200304.pdf2376-Texto del artículo-19825-3-10-20200304.pdfapplication/pdf1131562https://repository.ucatolica.edu.co/bitstreams/d6fb9118-a065-479c-9dad-c3647005c2e9/download1275cb49befbc095f94e9b4f9ee31b96MD51TEXT2376-Texto del artículo-19825-3-10-20200304.pdf.txt2376-Texto del artículo-19825-3-10-20200304.pdf.txtExtracted texttext/plain40978https://repository.ucatolica.edu.co/bitstreams/74535461-3003-4e89-ab40-61b02f48fe64/downloadf98513802b4953cd08c6d25999e394caMD52THUMBNAIL2376-Texto del artículo-19825-3-10-20200304.pdf.jpg2376-Texto del artículo-19825-3-10-20200304.pdf.jpgRIUCACimage/jpeg21818https://repository.ucatolica.edu.co/bitstreams/13ec784d-de19-4c19-820b-89c44e8a486d/download02e470bd2e9098d03dd5140b0c462731MD5310983/25600oai:repository.ucatolica.edu.co:10983/256002023-03-24 16:32:13.945https://repository.ucatolica.edu.coRepositorio Institucional Universidad Católica de Colombia - RIUCaCbdigital@metabiblioteca.com |