Error Analysis with Applications in Engineering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2010
|
| Schriftenreihe: | Solid Mechanics and Its Applications
169 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHI01 FHN01 FHR01 Volltext |
| Beschreibung: | This book presents, in the simplest possible manner, those branches of error analysis which find direct applications in solving various problems in engineering. Chapters I, II, III, and IV contain a presentation of the fundamentals of error calculus: basic characteristics of error distributions, histograms and their various applications, basic continuous distributions of errors and functions of independent random variables. In Chapter V, two-dimensional distributions of errors are discussed with applications. Fundamentals of the theory of two-dimensional continuous independent and dependent random variables are also discussed in that chapter. Then the methods of determination of the ellipses of probability concentration for the two-dimensional continuous normal distribution are given. Chapter VI deals with two-dimensional vectorial functions of independent random variables along with practical applications to the analysis of the positioning accuracy of mechanisms with two-dimensional movements. The procedure of determination of ellipses of probability concentration is also described. In Chapter VII, three-dimensional distributions of errors are considered, while Chapter VIII deals with the three-dimensional vectorial functions of independent random variables. The theory is illustrated by examples of the analysis of the positioning accuracy of robot manipulators. The examples of determining the ellipsoids of probability concentration are presented. Chapter IX contains error analysis-inspired problems that are described by implicit equations and Chapter X presents useful definitions and facts of probability theory for future readings. This book has been written for readers whose main interests are applications of error calculus in various problems of engineering. In all ten chapters much attention is paid to the practical significance of error analysis |
| Beschreibung: | 1 Online-Ressource (X, 270p) |
| ISBN: | 9789048135707 |
| DOI: | 10.1007/978-90-481-3570-7 |
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| 500 | |a This book presents, in the simplest possible manner, those branches of error analysis which find direct applications in solving various problems in engineering. Chapters I, II, III, and IV contain a presentation of the fundamentals of error calculus: basic characteristics of error distributions, histograms and their various applications, basic continuous distributions of errors and functions of independent random variables. In Chapter V, two-dimensional distributions of errors are discussed with applications. Fundamentals of the theory of two-dimensional continuous independent and dependent random variables are also discussed in that chapter. Then the methods of determination of the ellipses of probability concentration for the two-dimensional continuous normal distribution are given. Chapter VI deals with two-dimensional vectorial functions of independent random variables along with practical applications to the analysis of the positioning accuracy of mechanisms with two-dimensional movements. The procedure of determination of ellipses of probability concentration is also described. In Chapter VII, three-dimensional distributions of errors are considered, while Chapter VIII deals with the three-dimensional vectorial functions of independent random variables. The theory is illustrated by examples of the analysis of the positioning accuracy of robot manipulators. The examples of determining the ellipsoids of probability concentration are presented. Chapter IX contains error analysis-inspired problems that are described by implicit equations and Chapter X presents useful definitions and facts of probability theory for future readings. This book has been written for readers whose main interests are applications of error calculus in various problems of engineering. In all ten chapters much attention is paid to the practical significance of error analysis | ||
| 505 | 0 | |a Basic Characteristics of Error Distribution; Histograms -- Random Variables and Probability; Normal Distribution -- Probability Distributions and Their Characterizations -- Functions of Independent Random Variables -- Two-dimensional Distributions -- Two-dimensional Functions of Independent Random Variables -- Three-dimensional Distributions -- Three-dimensional Functions of Independent Random Variables -- Problems Described by Implicit Equations -- Useful Definitions and Facts of Probability Theory for Further Reading | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Mechanical engineering | |
| 650 | 4 | |a Structural Mechanics | |
| 650 | 4 | |a Machinery and Machine Elements | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
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Datensatz im Suchindex
| _version_ | 1804152239035514880 |
|---|---|
| any_adam_object | |
| author | Kotulski, Zbigniew A. |
| author_facet | Kotulski, Zbigniew A. |
| author_role | aut |
| author_sort | Kotulski, Zbigniew A. |
| author_variant | z a k za zak |
| building | Verbundindex |
| bvnumber | BV041889760 |
| collection | ZDB-2-ENG |
| contents | Basic Characteristics of Error Distribution; Histograms -- Random Variables and Probability; Normal Distribution -- Probability Distributions and Their Characterizations -- Functions of Independent Random Variables -- Two-dimensional Distributions -- Two-dimensional Functions of Independent Random Variables -- Three-dimensional Distributions -- Three-dimensional Functions of Independent Random Variables -- Problems Described by Implicit Equations -- Useful Definitions and Facts of Probability Theory for Further Reading |
| ctrlnum | (OCoLC)881613871 (DE-599)BVBBV041889760 |
| dewey-full | 620.1 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1 |
| dewey-search | 620.1 |
| dewey-sort | 3620.1 |
| dewey-tens | 620 - Engineering and allied operations |
| doi_str_mv | 10.1007/978-90-481-3570-7 |
| format | Electronic eBook |
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| id | DE-604.BV041889760 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:07:33Z |
| institution | BVB |
| isbn | 9789048135707 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027333714 |
| oclc_num | 881613871 |
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| physical | 1 Online-Ressource (X, 270p) |
| psigel | ZDB-2-ENG |
| publishDate | 2010 |
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| publisher | Springer Netherlands |
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| series2 | Solid Mechanics and Its Applications |
| spelling | Kotulski, Zbigniew A. Verfasser aut Error Analysis with Applications in Engineering by Zbigniew A. Kotulski, Wojciech Szczepinski Dordrecht Springer Netherlands 2010 1 Online-Ressource (X, 270p) txt rdacontent c rdamedia cr rdacarrier Solid Mechanics and Its Applications 169 This book presents, in the simplest possible manner, those branches of error analysis which find direct applications in solving various problems in engineering. Chapters I, II, III, and IV contain a presentation of the fundamentals of error calculus: basic characteristics of error distributions, histograms and their various applications, basic continuous distributions of errors and functions of independent random variables. In Chapter V, two-dimensional distributions of errors are discussed with applications. Fundamentals of the theory of two-dimensional continuous independent and dependent random variables are also discussed in that chapter. Then the methods of determination of the ellipses of probability concentration for the two-dimensional continuous normal distribution are given. Chapter VI deals with two-dimensional vectorial functions of independent random variables along with practical applications to the analysis of the positioning accuracy of mechanisms with two-dimensional movements. The procedure of determination of ellipses of probability concentration is also described. In Chapter VII, three-dimensional distributions of errors are considered, while Chapter VIII deals with the three-dimensional vectorial functions of independent random variables. The theory is illustrated by examples of the analysis of the positioning accuracy of robot manipulators. The examples of determining the ellipsoids of probability concentration are presented. Chapter IX contains error analysis-inspired problems that are described by implicit equations and Chapter X presents useful definitions and facts of probability theory for future readings. This book has been written for readers whose main interests are applications of error calculus in various problems of engineering. In all ten chapters much attention is paid to the practical significance of error analysis Basic Characteristics of Error Distribution; Histograms -- Random Variables and Probability; Normal Distribution -- Probability Distributions and Their Characterizations -- Functions of Independent Random Variables -- Two-dimensional Distributions -- Two-dimensional Functions of Independent Random Variables -- Three-dimensional Distributions -- Three-dimensional Functions of Independent Random Variables -- Problems Described by Implicit Equations -- Useful Definitions and Facts of Probability Theory for Further Reading Engineering Distribution (Probability theory) Mechanical engineering Structural Mechanics Machinery and Machine Elements Probability Theory and Stochastic Processes Control, Robotics, Mechatronics Ingenieurwissenschaften Fehleranalyse (DE-588)4016608-9 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Fehleranalyse (DE-588)4016608-9 s Ingenieurwissenschaften (DE-588)4137304-2 s 1\p DE-604 Szczepinski, Wojciech Sonstige oth Erscheint auch als Druckausgabe 978-90-481-3569-1 https://doi.org/10.1007/978-90-481-3570-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kotulski, Zbigniew A. Error Analysis with Applications in Engineering Basic Characteristics of Error Distribution; Histograms -- Random Variables and Probability; Normal Distribution -- Probability Distributions and Their Characterizations -- Functions of Independent Random Variables -- Two-dimensional Distributions -- Two-dimensional Functions of Independent Random Variables -- Three-dimensional Distributions -- Three-dimensional Functions of Independent Random Variables -- Problems Described by Implicit Equations -- Useful Definitions and Facts of Probability Theory for Further Reading Engineering Distribution (Probability theory) Mechanical engineering Structural Mechanics Machinery and Machine Elements Probability Theory and Stochastic Processes Control, Robotics, Mechatronics Ingenieurwissenschaften Fehleranalyse (DE-588)4016608-9 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4016608-9 (DE-588)4137304-2 |
| title | Error Analysis with Applications in Engineering |
| title_auth | Error Analysis with Applications in Engineering |
| title_exact_search | Error Analysis with Applications in Engineering |
| title_full | Error Analysis with Applications in Engineering by Zbigniew A. Kotulski, Wojciech Szczepinski |
| title_fullStr | Error Analysis with Applications in Engineering by Zbigniew A. Kotulski, Wojciech Szczepinski |
| title_full_unstemmed | Error Analysis with Applications in Engineering by Zbigniew A. Kotulski, Wojciech Szczepinski |
| title_short | Error Analysis with Applications in Engineering |
| title_sort | error analysis with applications in engineering |
| topic | Engineering Distribution (Probability theory) Mechanical engineering Structural Mechanics Machinery and Machine Elements Probability Theory and Stochastic Processes Control, Robotics, Mechatronics Ingenieurwissenschaften Fehleranalyse (DE-588)4016608-9 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Engineering Distribution (Probability theory) Mechanical engineering Structural Mechanics Machinery and Machine Elements Probability Theory and Stochastic Processes Control, Robotics, Mechatronics Ingenieurwissenschaften Fehleranalyse |
| url | https://doi.org/10.1007/978-90-481-3570-7 |
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