Approximations for digital computers /:
This monograph deals with the subject of best approximation in the sense of Chebyshev as applied to the problem of making univariate functional data available to the high-speed digital computing machine. Our investigation is of a numerical and empirical nature. Part I of this book serves as an intro...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ :
Princeton University Press,
2015.
|
| Schriftenreihe: | Princeton legacy library.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This monograph deals with the subject of best approximation in the sense of Chebyshev as applied to the problem of making univariate functional data available to the high-speed digital computing machine. Our investigation is of a numerical and empirical nature. Part I of this book serves as an introduction to the collection of approximations given in Part II. Part II contains the "Approximations for Digital Computers," formerly issued as a cumulative publication of loose sheets and made available to numerical analysts upon request. Each sheet of the seventy-odd issued in this series contains an approximation of a useful or illustrative nature presented with a carefully drawn error curve |
| Beschreibung: | 1 online resource (viii, 201 pages) : illustrations |
| Bibliographie: | Includes bibliographical references for Part II (page 201). |
| ISBN: | 1400875595 9781400875597 0691653100 9780691653105 |
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| 504 | |a Includes bibliographical references for Part II (page 201). | ||
| 505 | 0 | 0 | |g Part I ; |t Concerning best fit -- |t Linear weights -- |t An iterative procedure -- |t Solution of equations -- |t Chebyshev polynomials -- |t Concerning weights -- |t Function with a peak -- |t Rates of convergence -- |t Choice of form -- |t A scoring-camera problem. |
| 505 | 0 | 0 | |g Part II. |t Sheet[s] ; [Functions {listed by mathematical formula}] |t Sheet 1 -- |t Sheet 5 -- |t Sheet 8 -- |t Sheet 14 -- |t Sheet 17 -- |t Sheet 21 -- |t Sheet 24 -- |t Sheet 26 -- |t Sheet 30 "Total Klein-Nishina cross section" function -- |t Sheet 31 -- |t Sheet 35 -- |t Sheet 40 -- |t Sheet 43 -- |t Sheet 46 -- |t Sheet 49 -- |t Sheet 52 -- |t Sheet 57 -- |t Sheet 61 -- |t Sheet 64 -- |t Sheet 67 -- |t Sheet 69 -- |t Sheet 71 -- |t Sheet 74. |
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| 588 | 0 | |a Print version record. | |
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| author | Hastings, Cecil, Jr., 1920- Hayward, Jeanne T. Wong, James P., Jr., 1926- |
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| author_sort | Hastings, Cecil, Jr., 1920- |
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| contents | Concerning best fit -- Linear weights -- An iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- A scoring-camera problem. Sheet[s] ; [Functions {listed by mathematical formula}] Sheet 1 -- Sheet 5 -- Sheet 8 -- Sheet 14 -- Sheet 17 -- Sheet 21 -- Sheet 24 -- Sheet 26 -- Sheet 30 "Total Klein-Nishina cross section" function -- Sheet 31 -- Sheet 35 -- Sheet 40 -- Sheet 43 -- Sheet 46 -- Sheet 49 -- Sheet 52 -- Sheet 57 -- Sheet 61 -- Sheet 64 -- Sheet 67 -- Sheet 69 -- Sheet 71 -- Sheet 74. |
| ctrlnum | (OCoLC)927972607 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn927972607 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:26:53Z |
| institution | BVB |
| isbn | 1400875595 9781400875597 0691653100 9780691653105 |
| language | English |
| oclc_num | 927972607 |
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| publishDateSearch | 2015 |
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| publisher | Princeton University Press, |
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| series | Princeton legacy library. |
| series2 | Princeton Legacy Library ; |
| spelling | Hastings, Cecil, Jr., 1920- https://id.oclc.org/worldcat/entity/E39PCjxhh4Kv6YBx9KYR3CgDRq http://id.loc.gov/authorities/names/no2020002469 Approximations for digital computers / by Cecil Hastings, Jr. ; assisted by Jeanne T. Hayward, James P. Wong, Jr. Princeton, NJ : Princeton University Press, 2015. 1 online resource (viii, 201 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton Legacy Library ; 2040 Includes bibliographical references for Part II (page 201). Part I ; Concerning best fit -- Linear weights -- An iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- A scoring-camera problem. Part II. Sheet[s] ; [Functions {listed by mathematical formula}] Sheet 1 -- Sheet 5 -- Sheet 8 -- Sheet 14 -- Sheet 17 -- Sheet 21 -- Sheet 24 -- Sheet 26 -- Sheet 30 "Total Klein-Nishina cross section" function -- Sheet 31 -- Sheet 35 -- Sheet 40 -- Sheet 43 -- Sheet 46 -- Sheet 49 -- Sheet 52 -- Sheet 57 -- Sheet 61 -- Sheet 64 -- Sheet 67 -- Sheet 69 -- Sheet 71 -- Sheet 74. This monograph deals with the subject of best approximation in the sense of Chebyshev as applied to the problem of making univariate functional data available to the high-speed digital computing machine. Our investigation is of a numerical and empirical nature. Part I of this book serves as an introduction to the collection of approximations given in Part II. Part II contains the "Approximations for Digital Computers," formerly issued as a cumulative publication of loose sheets and made available to numerical analysts upon request. Each sheet of the seventy-odd issued in this series contains an approximation of a useful or illustrative nature presented with a carefully drawn error curve Print version record. In English. Electronic digital computers. http://id.loc.gov/authorities/subjects/sh85042314 Numerical analysis. http://id.loc.gov/authorities/subjects/sh85093237 Functions. http://id.loc.gov/authorities/subjects/sh85052327 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Computers https://id.nlm.nih.gov/mesh/D003201 Mathematics https://id.nlm.nih.gov/mesh/D008433 Ordinateurs. Analyse numérique. Fonctions (Mathématiques) Mathématiques. computers. aat functions (mathematics) aat MATHEMATICS History & Philosophy. bisacsh Mathematics fast Functions fast Electronic digital computers fast Numerical analysis fast Hayward, Jeanne T., author. http://id.loc.gov/authorities/names/no2020002489 Wong, James P., Jr., 1926- author. https://id.oclc.org/worldcat/entity/E39PCjJG8GtgM8KbvBWfVhqBWC http://id.loc.gov/authorities/names/no2020002661 has work: Approximations for Digital Computers (Text) https://id.oclc.org/worldcat/entity/E39PCGh7t474rqw3QHVYwMBc6C https://id.oclc.org/worldcat/ontology/hasWork 0691626944 0691079145 Princeton legacy library. http://id.loc.gov/authorities/names/no2014116408 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1078383 Volltext |
| spellingShingle | Hastings, Cecil, Jr., 1920- Hayward, Jeanne T. Wong, James P., Jr., 1926- Approximations for digital computers / Princeton legacy library. Concerning best fit -- Linear weights -- An iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- A scoring-camera problem. Sheet[s] ; [Functions {listed by mathematical formula}] Sheet 1 -- Sheet 5 -- Sheet 8 -- Sheet 14 -- Sheet 17 -- Sheet 21 -- Sheet 24 -- Sheet 26 -- Sheet 30 "Total Klein-Nishina cross section" function -- Sheet 31 -- Sheet 35 -- Sheet 40 -- Sheet 43 -- Sheet 46 -- Sheet 49 -- Sheet 52 -- Sheet 57 -- Sheet 61 -- Sheet 64 -- Sheet 67 -- Sheet 69 -- Sheet 71 -- Sheet 74. Electronic digital computers. http://id.loc.gov/authorities/subjects/sh85042314 Numerical analysis. http://id.loc.gov/authorities/subjects/sh85093237 Functions. http://id.loc.gov/authorities/subjects/sh85052327 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Computers https://id.nlm.nih.gov/mesh/D003201 Mathematics https://id.nlm.nih.gov/mesh/D008433 Ordinateurs. Analyse numérique. Fonctions (Mathématiques) Mathématiques. computers. aat functions (mathematics) aat MATHEMATICS History & Philosophy. bisacsh Mathematics fast Functions fast Electronic digital computers fast Numerical analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85042314 http://id.loc.gov/authorities/subjects/sh85093237 http://id.loc.gov/authorities/subjects/sh85052327 http://id.loc.gov/authorities/subjects/sh85082139 https://id.nlm.nih.gov/mesh/D003201 https://id.nlm.nih.gov/mesh/D008433 |
| title | Approximations for digital computers / |
| title_alt | Concerning best fit -- Linear weights -- An iterative procedure -- Solution of equations -- Chebyshev polynomials -- Concerning weights -- Function with a peak -- Rates of convergence -- Choice of form -- A scoring-camera problem. Sheet[s] ; [Functions {listed by mathematical formula}] Sheet 1 -- Sheet 5 -- Sheet 8 -- Sheet 14 -- Sheet 17 -- Sheet 21 -- Sheet 24 -- Sheet 26 -- Sheet 30 "Total Klein-Nishina cross section" function -- Sheet 31 -- Sheet 35 -- Sheet 40 -- Sheet 43 -- Sheet 46 -- Sheet 49 -- Sheet 52 -- Sheet 57 -- Sheet 61 -- Sheet 64 -- Sheet 67 -- Sheet 69 -- Sheet 71 -- Sheet 74. |
| title_auth | Approximations for digital computers / |
| title_exact_search | Approximations for digital computers / |
| title_full | Approximations for digital computers / by Cecil Hastings, Jr. ; assisted by Jeanne T. Hayward, James P. Wong, Jr. |
| title_fullStr | Approximations for digital computers / by Cecil Hastings, Jr. ; assisted by Jeanne T. Hayward, James P. Wong, Jr. |
| title_full_unstemmed | Approximations for digital computers / by Cecil Hastings, Jr. ; assisted by Jeanne T. Hayward, James P. Wong, Jr. |
| title_short | Approximations for digital computers / |
| title_sort | approximations for digital computers |
| topic | Electronic digital computers. http://id.loc.gov/authorities/subjects/sh85042314 Numerical analysis. http://id.loc.gov/authorities/subjects/sh85093237 Functions. http://id.loc.gov/authorities/subjects/sh85052327 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Computers https://id.nlm.nih.gov/mesh/D003201 Mathematics https://id.nlm.nih.gov/mesh/D008433 Ordinateurs. Analyse numérique. Fonctions (Mathématiques) Mathématiques. computers. aat functions (mathematics) aat MATHEMATICS History & Philosophy. bisacsh Mathematics fast Functions fast Electronic digital computers fast Numerical analysis fast |
| topic_facet | Electronic digital computers. Numerical analysis. Functions. Mathematics. Computers Mathematics Ordinateurs. Analyse numérique. Fonctions (Mathématiques) Mathématiques. computers. functions (mathematics) MATHEMATICS History & Philosophy. Functions Electronic digital computers Numerical analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1078383 |
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