Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$
Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Parvathalu, B. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer India Pvt. Ltd. 2017 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of applied and computational mathematics - [New Dehli] : Springer India, 2015, 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 |
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| Übergeordnetes Werk: |
volume:3 ; year:2017 ; number:Suppl 1 ; day:23 ; month:05 ; pages:511-519 |
| Links: |
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| DOI / URN: |
10.1007/s40819-017-0367-8 |
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| Katalog-ID: |
SPR037869647 |
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| 100 | 1 | |a Parvathalu, B. |e verfasserin |0 (orcid)0000-0002-5151-8446 |4 aut | |
| 245 | 1 | 0 | |a Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ |
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| 520 | |a Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. | ||
| 650 | 4 | |a Frame |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Tight frame |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Mercedes–Benz frame |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Equiangular frame |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Diagram vector |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Sam Johnson, P. |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t International journal of applied and computational mathematics |d [New Dehli] : Springer India, 2015 |g 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 |w (DE-627)815914253 |w (DE-600)2806624-8 |x 2199-5796 |7 nnns |
| 773 | 1 | 8 | |g volume:3 |g year:2017 |g number:Suppl 1 |g day:23 |g month:05 |g pages:511-519 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s40819-017-0367-8 |z lizenzpflichtig |3 Volltext |
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| 912 | |a GBV_ILN_90 | ||
| 912 | |a GBV_ILN_95 | ||
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| 912 | |a GBV_ILN_105 | ||
| 912 | |a GBV_ILN_110 | ||
| 912 | |a GBV_ILN_120 | ||
| 912 | |a GBV_ILN_138 | ||
| 912 | |a GBV_ILN_150 | ||
| 912 | |a GBV_ILN_151 | ||
| 912 | |a GBV_ILN_161 | ||
| 912 | |a GBV_ILN_170 | ||
| 912 | |a GBV_ILN_171 | ||
| 912 | |a GBV_ILN_187 | ||
| 912 | |a GBV_ILN_213 | ||
| 912 | |a GBV_ILN_224 | ||
| 912 | |a GBV_ILN_230 | ||
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| 912 | |a GBV_ILN_370 | ||
| 912 | |a GBV_ILN_602 | ||
| 912 | |a GBV_ILN_636 | ||
| 912 | |a GBV_ILN_702 | ||
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| 912 | |a GBV_ILN_2003 | ||
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| 912 | |a GBV_ILN_2020 | ||
| 912 | |a GBV_ILN_2021 | ||
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| 912 | |a GBV_ILN_2026 | ||
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| 912 | |a GBV_ILN_2034 | ||
| 912 | |a GBV_ILN_2037 | ||
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| 912 | |a GBV_ILN_2039 | ||
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| 912 | |a GBV_ILN_2049 | ||
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| 912 | |a GBV_ILN_2057 | ||
| 912 | |a GBV_ILN_2059 | ||
| 912 | |a GBV_ILN_2061 | ||
| 912 | |a GBV_ILN_2064 | ||
| 912 | |a GBV_ILN_2065 | ||
| 912 | |a GBV_ILN_2068 | ||
| 912 | |a GBV_ILN_2070 | ||
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| 912 | |a GBV_ILN_2111 | ||
| 912 | |a GBV_ILN_2112 | ||
| 912 | |a GBV_ILN_2113 | ||
| 912 | |a GBV_ILN_2116 | ||
| 912 | |a GBV_ILN_2118 | ||
| 912 | |a GBV_ILN_2119 | ||
| 912 | |a GBV_ILN_2122 | ||
| 912 | |a GBV_ILN_2129 | ||
| 912 | |a GBV_ILN_2143 | ||
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| 912 | |a GBV_ILN_2147 | ||
| 912 | |a GBV_ILN_2148 | ||
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| 951 | |a AR | ||
| 952 | |d 3 |j 2017 |e Suppl 1 |b 23 |c 05 |h 511-519 | ||
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10.1007/s40819-017-0367-8 doi (DE-627)SPR037869647 (SPR)s40819-017-0367-8-e DE-627 ger DE-627 rakwb eng Parvathalu, B. verfasserin (orcid)0000-0002-5151-8446 aut Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer India Pvt. Ltd. 2017 Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. Frame (dpeaa)DE-He213 Tight frame (dpeaa)DE-He213 Mercedes–Benz frame (dpeaa)DE-He213 Equiangular frame (dpeaa)DE-He213 Diagram vector (dpeaa)DE-He213 Sam Johnson, P. aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:3 year:2017 number:Suppl 1 day:23 month:05 pages:511-519 https://dx.doi.org/10.1007/s40819-017-0367-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 3 2017 Suppl 1 23 05 511-519 |
| spelling |
10.1007/s40819-017-0367-8 doi (DE-627)SPR037869647 (SPR)s40819-017-0367-8-e DE-627 ger DE-627 rakwb eng Parvathalu, B. verfasserin (orcid)0000-0002-5151-8446 aut Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer India Pvt. Ltd. 2017 Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. Frame (dpeaa)DE-He213 Tight frame (dpeaa)DE-He213 Mercedes–Benz frame (dpeaa)DE-He213 Equiangular frame (dpeaa)DE-He213 Diagram vector (dpeaa)DE-He213 Sam Johnson, P. aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:3 year:2017 number:Suppl 1 day:23 month:05 pages:511-519 https://dx.doi.org/10.1007/s40819-017-0367-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 3 2017 Suppl 1 23 05 511-519 |
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10.1007/s40819-017-0367-8 doi (DE-627)SPR037869647 (SPR)s40819-017-0367-8-e DE-627 ger DE-627 rakwb eng Parvathalu, B. verfasserin (orcid)0000-0002-5151-8446 aut Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer India Pvt. Ltd. 2017 Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. Frame (dpeaa)DE-He213 Tight frame (dpeaa)DE-He213 Mercedes–Benz frame (dpeaa)DE-He213 Equiangular frame (dpeaa)DE-He213 Diagram vector (dpeaa)DE-He213 Sam Johnson, P. aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:3 year:2017 number:Suppl 1 day:23 month:05 pages:511-519 https://dx.doi.org/10.1007/s40819-017-0367-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 3 2017 Suppl 1 23 05 511-519 |
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10.1007/s40819-017-0367-8 doi (DE-627)SPR037869647 (SPR)s40819-017-0367-8-e DE-627 ger DE-627 rakwb eng Parvathalu, B. verfasserin (orcid)0000-0002-5151-8446 aut Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer India Pvt. Ltd. 2017 Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. Frame (dpeaa)DE-He213 Tight frame (dpeaa)DE-He213 Mercedes–Benz frame (dpeaa)DE-He213 Equiangular frame (dpeaa)DE-He213 Diagram vector (dpeaa)DE-He213 Sam Johnson, P. aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:3 year:2017 number:Suppl 1 day:23 month:05 pages:511-519 https://dx.doi.org/10.1007/s40819-017-0367-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 3 2017 Suppl 1 23 05 511-519 |
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10.1007/s40819-017-0367-8 doi (DE-627)SPR037869647 (SPR)s40819-017-0367-8-e DE-627 ger DE-627 rakwb eng Parvathalu, B. verfasserin (orcid)0000-0002-5151-8446 aut Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer India Pvt. Ltd. 2017 Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. Frame (dpeaa)DE-He213 Tight frame (dpeaa)DE-He213 Mercedes–Benz frame (dpeaa)DE-He213 Equiangular frame (dpeaa)DE-He213 Diagram vector (dpeaa)DE-He213 Sam Johnson, P. aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 3(2017), Suppl 1 vom: 23. Mai, Seite 511-519 (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:3 year:2017 number:Suppl 1 day:23 month:05 pages:511-519 https://dx.doi.org/10.1007/s40819-017-0367-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 3 2017 Suppl 1 23 05 511-519 |
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Parvathalu, B. |
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Parvathalu, B. misc Frame misc Tight frame misc Mercedes–Benz frame misc Equiangular frame misc Diagram vector Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ |
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Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ Frame (dpeaa)DE-He213 Tight frame (dpeaa)DE-He213 Mercedes–Benz frame (dpeaa)DE-He213 Equiangular frame (dpeaa)DE-He213 Diagram vector (dpeaa)DE-He213 |
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Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ |
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Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ |
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Parvathalu, B. |
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International journal of applied and computational mathematics |
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Elektronische Aufsätze |
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Parvathalu, B. |
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construction of mercedes–benz frame in %${\mathbb {r}}^n%$ |
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Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ |
| abstract |
Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. © Springer India Pvt. Ltd. 2017 |
| abstractGer |
Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. © Springer India Pvt. Ltd. 2017 |
| abstract_unstemmed |
Abstract In this article, Mercedes–Benz (MB) frame having 3 vectors in %${\mathbb {R}}^2%$ is generalized to the space %${\mathbb {R}}^n%$ with %$n+1%$ vectors through a complete concrete method. A necessary and sufficient condition for a normed tight frame to be an MB frame is given and MB frame is explored with the help of diagram vectors. In a new approach, it has been proved that there is no MB frame in %${\mathbb {R}}^n%$ with more than %$n+1%$ vectors and there is always an equiangular tight frame for every %$n \ge 2%$, using MB frame. © Springer India Pvt. Ltd. 2017 |
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Construction of Mercedes–Benz Frame in %${\mathbb {R}}^n%$ |
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