LEADER 00766nam0-22002891i-450- 001 990000124700403321 005 20050727130419.0 035 $a000012470 035 $aFED01000012470 035 $a(Aleph)000012470FED01 035 $a000012470 100 $a20020821d1934----km-y0itay50------ba 101 0 $aita 105 $ay-------001yy 200 1 $aPortland cement$fCharles Davis 210 $aLondon$cConcrete publications limited$d1934 215 $aVIII, 356 p.$cill.$d24 cm 225 1 $aConcrete series 610 0 $aCementi Portland 676 $a666.94 700 1$aDavis,$bArthur Charles 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990000124700403321 952 $a13 M 23 03$b22661$fFINBC 959 $aFINBC 997 $aUNINA LEADER 01209nam--2200385---450- 001 990003012450203316 005 20071113140457.0 010 $a3-11-013666-X 035 $a000301245 035 $aUSA01000301245 035 $a(ALEPH)000301245USA01 035 $a000301245 100 $a20071113d1993----km-y0itay50------ba 101 $ager 102 $aDE 105 $a||||||||001yy 200 1 $aEtymologisches Worterbuch der germanischen Primaradjektive$fFrank Heidermanns 210 $aBerlin [etc.]$cW. de Gruyter$d1993 215 $aVI, 719 p.$d25 cm. 225 2 $aStudia linguistica Germanica$v33 410 0$12001$aStudia linguistica Germanica$v33 454 1$12001 461 1$1001-------$12001 606 0 $aLingue germaniche$xAggettivi$xDizionari etimologici 676 $a430.03 700 1$aHEIDERMANNS,$bFrank$0458113 801 0$aIT$bsalbc$gISBD 912 $a990003012450203316 951 $aVII.2.D. 308$b199816 L.M.$cVII.2.D.$d00162164 959 $aBK 969 $aUMA 979 $aRIVELLI$b90$c20071113$lUSA01$h1357 979 $aRIVELLI$b90$c20071113$lUSA01$h1404 996 $aEtymologisches Wörterbuch der germanischen Primäradjektive$9184254 997 $aUNISA LEADER 05451nam 2200697 450 001 9910829925803321 005 20170816124210.0 010 $a1-118-62243-X 010 $a1-118-62239-1 010 $a1-118-62232-4 035 $a(CKB)2670000000341655 035 $a(EBL)1153588 035 $a(OCoLC)831118392 035 $a(SSID)ssj0000856477 035 $a(PQKBManifestationID)11469837 035 $a(PQKBTitleCode)TC0000856477 035 $a(PQKBWorkID)10806386 035 $a(PQKB)10229318 035 $a(MiAaPQ)EBC1153588 035 $a(PPN)221559191 035 $a(EXLCZ)992670000000341655 100 $a20160411h20102010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModeling and convexity /$fEduardo Souza de Cursi, Rubens Sampaio 210 1$aLondon, England ;$aHoboken, New Jersey :$cISTE :$cWiley,$d2010. 210 4$d©2010 215 $a1 online resource (517 p.) 225 1 $aISTE 300 $aDescription based upon print version of record. 311 $a1-84821-177-5 320 $aIncludes bibliographical references and index. 327 $aCover; Title Page; Copyright Page; Table of Contents; Introduction; PART 1. MOTIVATION: EXAMPLES AND APPLICATIONS; Chapter 1. Curvilinear Continuous Media; 1.1. One-dimensional curvilinear media; 1.1.1. Ideally flexible string; 1.1.1.1. The essential difficulty; 1.1.1.2. Unilateral contact; 1.1.2. The ""elastica"" problem: buckling of an inextensible beam; 1.2. Supple membranes; 1.2.1. Curvilinear coordinates and charts; 1.2.2. Metric tensor; 1.2.3. Internal efforts and constitutive law; 1.2.4. Exterior efforts; 1.2.5. Infinitesimal deformations; 1.2.6. Principle of minimum energy 327 $aChapter 2. Unilateral System Dynamics2.1. Dynamics of ideally flexible strings; 2.1.1. Propagation of discontinuities; 2.1.2. Evolution; 2.1.3. Vibrations; 2.1.3.1. Harmonic response; 2.1.3.2. Small oscillations; 2.2. Contact dynamics; 2.2.1. Evolution of a material point; 2.2.2. Evolution of deformable and non-deformable solids; 2.2.3. Granular modeling of the movement of a crowd; Chapter 3. A Simplified Model of Fusion/Solidification; 3.1. A simplified model of phase transition; Chapter 4. Minimization of a Non-Convex Function; 4.1. Probabilities, convexity and global optimization 327 $aChapter 5. Simple Models of Plasticity5.1. Ideal elastoplasticity; PART 2. THEORETICAL ELEMENTS; Chapter 6. Elements of Set Theory; 6.1. Elementary notions and operations on sets; 6.2. The axiom of choice; 6.3. Zorn's lemma; Chapter 7. Real Hilbert Spaces; 7.1. Scalar product and norm; 7.2. Bases and dimensions; 7.3. Open sets and closed sets; 7.4. Sequences; 7.4.1. Dense sequences and dense sets; 7.5. Linear functionals; 7.5.1. Sequences and continuity; 7.6. Complete space; 7.6.1. The Cauchy sequence; 7.6.2. Completion of a space; 7.6.3. Baire's theorem: a property of complete spaces 327 $a7.7. Orthogonal projection onto a vector subspace7.8. Riesz's representation theory; 7.9. Weak topology; 7.10. Separable spaces: Hilbert bases and series; Chapter 8. Convex Sets; 8.1. Hyperplanes; 8.2. Convex sets; 8.3. Convex hulls; 8.4. Orthogonal projection on a convex set; 8.5. Separation theorems; 8.6. Convex cone; Chapter 9. Functionals on a Hilbert Space; 9.1. Basic notions; 9.2. Convex functionals; 9.3. Semi-continuous functionals; 9.4. Affine functionals; 9.5. Convexification and LSC regularization; 9.6. Conjugate functionals; 9.7. Subdifferentiability; Chapter 10. Optimization 327 $a10.1. The optimization problem10.2. Basic notions; 10.2.1. Minimizing sequences; 10.2.2. Indicator function; 10.2.3. Coerciveness; 10.3. Fundamental results; 10.3.1. Approximation; 10.3.1.1. Exterior penalty approximation; 10.3.1.2. Interior penalty approximation; 10.3.1.3. Approximation by regularization; 10.3.1.4. Duality approximation; Chapter 11. Variational Problems; 11.1. Fundamental notions; 11.1.1.Proximal elements; 11.1.2. Operators and monotony; 11.1.2.1. Monotony; 11.1.2.2. Semi-continuous operators and hemi-continuous operators; 11.1.2.3. Maximal monotone operators 327 $a11.1.2.4.Brower's fixed point theorem 330 $aThis reference book gives the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of all the essential results is given. The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material. Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in o 410 0$aISTE 606 $aEngineering mathematics 606 $aMachinery$xMathematical models 606 $aConvex sets 615 0$aEngineering mathematics. 615 0$aMachinery$xMathematical models. 615 0$aConvex sets. 676 $a620.001/51 676 $a620.00151 676 $a620.00151976 700 $aCursi$b Eduardo Souza de$0908276 702 $aSampaio$b Rubens 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829925803321 996 $aModeling and convexity$93935831 997 $aUNINA