LEADER 04619nam 2200853Ia 450 001 9910456747503321 005 20200520144314.0 010 $a1-282-45796-9 010 $a1-282-93606-9 010 $a9786612936067 010 $a9786612457968 010 $a1-4008-3387-6 024 7 $a10.1515/9781400833870 035 $a(CKB)2520000000006994 035 $a(EBL)485767 035 $a(OCoLC)638859365 035 $a(SSID)ssj0000457488 035 $a(PQKBManifestationID)11924193 035 $a(PQKBTitleCode)TC0000457488 035 $a(PQKBWorkID)10415122 035 $a(PQKB)10475185 035 $a(MiAaPQ)EBC485767 035 $a(DE-B1597)446610 035 $a(OCoLC)979779564 035 $a(DE-B1597)9781400833870 035 $a(MiAaPQ)EBC4968557 035 $a(Au-PeEL)EBL485767 035 $a(CaPaEBR)ebr10364743 035 $a(CaONFJC)MIL293606 035 $a(Au-PeEL)EBL4968557 035 $a(CaONFJC)MIL245796 035 $a(OCoLC)1027190663 035 $a(EXLCZ)992520000000006994 100 $a20090901d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aControl theoretic splines$b[electronic resource] $eoptimal control, statistics, and path planning /$fMagnus Egerstedt and Clyde Martin 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2010 215 $a1 online resource (227 p.) 225 1 $aPrinceton series in applied mathematics 300 $aDescription based upon print version of record. 311 $a0-691-13296-8 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter One. Introduction -- $tChapter Two. Control Systems and Minimum Norm Problems -- $tChapter Three. Eight Fundamental Problems -- $tChapter Four. Smoothing Splines and Generalizations -- $tChapter Five. Approximations and Limiting Concepts -- $tChapter Six. Smoothing Splines with Continuous Data -- $tChapter Seven. Monotone Smoothing Splines -- $tChapter Eight. Smoothing Splines as Integral Filters -- $tChapter Nine. Optimal Transfer between Affine Varieties -- $tChapter Ten. Path Planning and Telemetry -- $tChapter Eleven. Node Selection -- $tBibliography -- $tIndex 330 $aSplines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data. 410 0$aPrinceton series in applied mathematics. 606 $aInterpolation 606 $aSmoothing (Numerical analysis) 606 $aSmoothing (Statistics) 606 $aCurve fitting 606 $aSplines 606 $aSpline theory 608 $aElectronic books. 615 0$aInterpolation. 615 0$aSmoothing (Numerical analysis) 615 0$aSmoothing (Statistics) 615 0$aCurve fitting. 615 0$aSplines. 615 0$aSpline theory. 676 $a511/.42 686 $aSK 880$2rvk 700 $aEgerstedt$b Magnus$0771533 701 $aMartin$b Clyde$058749 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910456747503321 996 $aControl theoretic splines$92450877 997 $aUNINA LEADER 02352oam 2200565 c 450 001 9910563065303321 005 20240922213735.0 024 7 $a10.3726/b12338 035 $a(CKB)4340000000238839 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/28379 035 $a(PH02)9783954791200 035 $a(MiAaPQ)EBC31203425 035 $a(oapen)doab28379 035 $a(EXLCZ)994340000000238839 100 $a20240525d1992 uy 0 101 0 $ager 135 $aurnnunnnannuu 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAntonymische Beziehungen zwischen Phraseologismen in der russischen Gegenwartssprache$fAnke Levin-Steinmann 205 $a1st, New ed. 210 $aFrankfurt a.M$cPH02$d1992 215 $a1 online resource (244 p.)$c, EPDF 225 0 $aSlavistische Beitra?ge$v296 300 $aPeter Lang GmbH, Internationaler Verlag der Wissenschaften 311 08$a3-95479-120-X 330 $aDie vorliegende Arbeit stellt einen Beitrag zur Untersuchung der semantischen Kategorien innerhalb des phraseologischen Systems der russischen Gegenwartssprache dar. Die Arbeit gliedert sich in 3 Kapitel, von denen das erste den theoretischen Grundlagen, im einzelnen der Definition der Bedeutung und des Phraseologismus sowie der Bestimmung und Begru?ndung der speziellen antonymischen Gruppen, gewidmet ist. In den Untersuchungskapiteln 2 und 3 werden die gewonnenen Ergebnisse kommentiert; chronologisch nach bestimmten semantischen, strukturellen und grammatisch-morphologischen Prinzipien der zu beschreibenden phraseologischen Antonyme. 606 $alinguistics$2bicssc 610 $aAntonymische 610 $aantonymische Beziehungen 610 $aBeziehungen 610 $aGegenwartssprache 610 $aLevin 610 $aLinguisik 610 $aPhraseologismen 610 $aPhraseologismus 610 $arussisc 610 $arussische Sprache 610 $arussischen 610 $aSteinmann 610 $azwischen 615 7$alinguistics 700 $aLevin-Steinmann$b Anke$4aut$01282471 801 0$bPH02 801 1$bPH02 906 $aBOOK 912 $a9910563065303321 996 $aAntonymische Beziehungen zwischen Phraseologismen in der russischen Gegenwartssprache$93020834 997 $aUNINA