Could René Descartes Have Known This?
Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a de...
Ausführliche Beschreibung
Autor*in: |
Forsgård, Jens [verfasserIn] |
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Sprache: |
Englisch |
Erschienen: |
2015 |
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Rechteinformationen: |
Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Experimental mathematics - Natick, Mass. : Peters, 1992, 24(2015), 4, Seite 438-448 |
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Übergeordnetes Werk: |
volume:24 ; year:2015 ; number:4 ; pages:438-448 |
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10.1080/10586458.2015.1030051 |
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10.1080/10586458.2015.1030051 doi PQ20160617 (DE-627)OLC1959272500 (DE-599)GBVOLC1959272500 (PRQ)c1996-5bf29f1f7fd9dc982bdb0508c842d9abdc885e5d1c22b0cd904ce03e02865f940 (KEY)0214189220150000024000400438couldrendescarteshaveknownthis DE-627 ger DE-627 rakwb eng 510 DNB Forsgård, Jens verfasserin aut Could René Descartes Have Known This? 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a detailed information about possible non-realizable combinations up to degree 8 as well as a general conjecture about such combinations. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 descartes' rule of signs standard discriminant Primary 26C10 Secondary 30C15 Kostov, Vladimir P oth Shapiro, Boris Z oth Enthalten in Experimental mathematics Natick, Mass. : Peters, 1992 24(2015), 4, Seite 438-448 (DE-627)165670231 (DE-600)1150871-1 (DE-576)034201777 1058-6458 nnns volume:24 year:2015 number:4 pages:438-448 http://dx.doi.org/10.1080/10586458.2015.1030051 Volltext http://www.tandfonline.com/doi/abs/10.1080/10586458.2015.1030051 http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-123202 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4314 GBV_ILN_4323 AR 24 2015 4 438-448 |
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Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a detailed information about possible non-realizable combinations up to degree 8 as well as a general conjecture about such combinations. |
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Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a detailed information about possible non-realizable combinations up to degree 8 as well as a general conjecture about such combinations. |
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Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a detailed information about possible non-realizable combinations up to degree 8 as well as a general conjecture about such combinations. |
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Could René Descartes Have Known This? |
url |
http://dx.doi.org/10.1080/10586458.2015.1030051 http://www.tandfonline.com/doi/abs/10.1080/10586458.2015.1030051 http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-123202 |
remote_bool |
false |
author2 |
Kostov, Vladimir P Shapiro, Boris Z |
author2Str |
Kostov, Vladimir P Shapiro, Boris Z |
ppnlink |
165670231 |
mediatype_str_mv |
n |
isOA_txt |
false |
hochschulschrift_bool |
false |
author2_role |
oth oth |
doi_str |
10.1080/10586458.2015.1030051 |
up_date |
2024-07-03T16:32:01.425Z |
_version_ |
1803576222874075136 |
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