LEADER 06977nam 22005775 450 001 9910480138103321 005 20211115162841.0 010 $a1-4612-0871-8 024 7 $a10.1007/978-1-4612-0871-6 035 $a(CKB)3400000000089299 035 $a(SSID)ssj0000808577 035 $a(PQKBManifestationID)11956400 035 $a(PQKBTitleCode)TC0000808577 035 $a(PQKBWorkID)10778479 035 $a(PQKB)10016522 035 $a(DE-He213)978-1-4612-0871-6 035 $a(MiAaPQ)EBC3073849 035 $a(PPN)23803285X 035 $a(EXLCZ)993400000000089299 100 $a20121227d1994 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpace-Filling Curves$b[electronic resource] /$fby Hans Sagan 205 $a1st ed. 1994. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1994. 215 $a1 online resource (XV, 194 p.) 225 1 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-94265-3 320 $aIncludes bibliographical references and index. 327 $a1. Introduction -- 1.1. A Brief History of Space-Filling Curves -- 1.2. Notation -- 1.3. Definitions and Netto?s Theorem -- 1.4. Problems -- 2. Hilbert?s Space-Filling Curve -- 2.1. Generation of Hilbert?s Space-Filling Curve -- 2.2. Nowhere Differentiability of the Hilbert Curve -- 2.3. A Complex Representation of the Hilbert Curve -- 2.4. Arithmetization of the Hilbert Curve -- 2.5. An Analytic Proof of the Nowhere Differentiability of the Hilbert Curve -- 2.6. Approximating Polygons for the Hilbert Curve -- 2.7. Moore?s Version of the Hilbert Curve -- 2.8. A Three-Dimensional Hilbert Curve -- 2.9. Problems -- 3. Peano?s Space-Filling Curve -- 3.1. Definition of Peano?s Space-Filling Curve -- 3.2. Nowhere Differentiability of the Peano Curve -- 3.3. Geometric Generation of the Peano Curve -- 3.4. Proof that the Peano Curve and the Geometric Peano Curve are the Same -- 3.5. Cesaro?s Representation of the Peano Curve -- 3.6. Approximating Polygons for the Peano Curve -- 3.7. Wunderlich?s Versions of the Peano Curve -- 3.8. A Three-Dimensional Peano Curve -- 3.9. Problems -- 4. Sierpi?ski?s Space-Filling Curve -- 4.1. Sierpi?ski?s Original Definition -- 4.2. Geometric Generation and Knopp?s Representation of the Sierpi?ski Curve -- 4.3. Representation of the Sierphiski-Knopp Curve in Terms of Quaternaries -- 4.4. Nowhere Differentiability of the Sierpi?ski-Knopp Curve -- 4.5. Approximating Polygons for the Sierpi?ski-Knopp Curve -- 4.6. Pólya?s Generalization of the Sierpi?ski-Knopp Curve -- 4.7. Problems -- 5. Lebesgue?s Space-Filling Curve -- 5.1. The Cantor Set -- 5.2. Properties of the Cantor Set -- 5.3. The Cantor Function and the Devil?s Staircase -- 5.4. Lebesgue?s Definition of a Space-Filling Curve -- 5.5. Approximating Polygons for the Lebesgue Curve -- 5.6. Problems -- 6. Continuous Images of a Line Segment -- 6.1. Preliminary Remarks and a Global Characterization of Continuity -- 6.2. Compact Sets -- 6.3. Connected Sets -- 6.4. Proof of Netto?s Theorem -- 6.5. Locally Connected Sets -- 6.6. A Theorem by Hausdorff -- 6.7. Pathwise Connectedness -- 6.8. The Hahn-Mazurkiewicz Theorem -- 6.9. Generation of Space-Filling Curves by Stochastically Independent Functions -- 6.10. Representation of a Space-Filling Curve by an Analytic Function -- 6.11. Problems -- 7. Schoenberg?s Space-Filling Curve -- 7.1. Definition and Basic Properties -- 7.2. The Nowhere Differentiability of the Schoenberg Curve -- 7.3. Approximating Polygons -- 7.4. A Three-Dimensional Schoenberg Curve -- 7.5. An No-Dimensional Schoenberg Curve -- 7.6. Problems -- 8. Jordan Curves of Positive Lebesgue Measure -- 8.1. Jordan Curves -- 8.2. Osgood?s Jordan Curves of Positive Measure -- 8.3. The Osgood Curves of Sierpi?ski and Knopp -- 8.4. Other Osgood Curves -- 8.5. Problems -- 9. Fractals -- 9.1. Examples -- 9.2. The Space where Fractals are Made -- 9.3. The Invariant Attractor Set -- 9.4. Similarity Dimension -- 9.5. Cantor Curves -- 9.6. The Heighway-Dragon -- 9.7. Problems -- A.1. Computer Programs 169 A.1.1. Computation of the Nodal Points of the Hilbert Curve -- A.1.2. Computation of the Nodal Points of the Peano Curve -- A.1.3. Computation of the Nodal Points of the Sierpi?ski-Knopp Curve -- A.1.4. Plotting Program for the Approximating Polygons of the Schoenberg Curve -- A.2. Theorems from Analysis -- A.2.1. Binary and Other Representations -- A.2.2. Condition for Non-Differentiability -- A.2.3. Completeness of the Euclidean Space -- A.2.4. Uniform Convergence -- A.2.5. Measure of the Intersection of a Decreasing Sequence of Sets -- A.2.6. Cantor?s Intersection Theorem -- A.2.7. Infinite Products -- References. 330 $aThe subject of space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no comprehensive treatment has ever been attempted other than the gallant effort by W. Sierpiriski in 1912. At that time, the subject was still in its infancy and the most interesting and perplexing results were still to come. Besides, Sierpiriski's paper was written in Polish and published in a journal that is not readily accessible (Sierpiriski [2]). Most of the early literature on the subject is in French, German, and Polish, providing an additional raison d'etre for a comprehensive treatment in English. While there was, understandably, some intensive research activity on this subject around the turn of the century, contributions have, nevertheless, continued up to the present and there is no end in sight, indicating that the subject is still very much alive. The recent interest in fractals has refocused interest on space­ filling curves, and the study of fractals has thrown some new light on this small but venerable part of mathematics. This monograph is neither a textbook nor an encyclopedic treatment of the subject nor a historical account, but it is a little of each. While it may lend structure to a seminar or pro-seminar, or be useful as a supplement in a course on topology or mathematical analysis, it is primarily intended for self-study by the aficionados of classical analysis. 410 0$aUniversitext,$x0172-5939 606 $aGeometry 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 615 0$aGeometry. 615 14$aGeometry. 676 $a516.3/62 686 $a54F50$2msc 686 $a28A75$2msc 686 $a54-03$2msc 686 $a01A55$2msc 686 $a01A60$2msc 700 $aSagan$b Hans$4aut$4http://id.loc.gov/vocabulary/relators/aut$050338 906 $aBOOK 912 $a9910480138103321 996 $aSpace-filling curves$9377562 997 $aUNINA LEADER 04429nam 2200733 450 001 9910460695403321 005 20200909225244.0 010 $a3-11-042448-7 010 $a3-11-042465-7 024 7 $a10.1515/9783110424485 035 $a(CKB)3710000000438921 035 $a(EBL)2073987 035 $a(SSID)ssj0001559711 035 $a(PQKBManifestationID)16191370 035 $a(PQKBTitleCode)TC0001559711 035 $a(PQKBWorkID)14824509 035 $a(PQKB)10806920 035 $a(MiAaPQ)EBC2073987 035 $a(DE-599)GBV828062641 035 $a(DE-B1597)451945 035 $a(OCoLC)912235499 035 $a(OCoLC)952786900 035 $a(DE-B1597)9783110424485 035 $a(Au-PeEL)EBL2073987 035 $a(CaPaEBR)ebr11072871 035 $a(CaONFJC)MIL808489 035 $a(EXLCZ)993710000000438921 100 $a20150720h20152015 uy 0 101 0 $ager 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFacework in multicodaler spanischer foren-kommunikation /$fUta Fro?hlich 210 1$aBerlin, Germany ;$aBoston, Massachusetts :$cDe Gruyter,$d2015. 210 4$d©2015 215 $a1 online resource (396 p.) 225 1 $aLinguistik - Impulse and Tendenzen,$x1612-8702 ;$vBand 66 300 $aDescription based upon print version of record. 311 $a3-11-042781-8 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tVorwort -- $tInhalt -- $tEinleitung -- $t1. Linguistic politeness und facework -- $t2. Kommunikation in Online-Foren -- $t3. Multicodalität -- $t4. Spanische Perspektiven -- $t5. Empirische Untersuchung: Korpusanalyse -- $t6.1 Gesamtübersicht der facework-Kategorien -- $t6.2 Entwicklung der threads -- $t6.3 Nonverbaler code -- $t6.4 Paraverbaler code -- $t6.5 Verbaler code -- $t6.6 Discursive moves -- $t6.7 Methodenreflexion -- $t7. Diskussion und Fazit -- $t8. Schlussbemerkungen -- $tLiteratur- und Quellenverzeichnis -- $tIndex 330 $aIn der Computervermittelten Kommunikation kreieren User multicodale Zeichensysteme, indem sie neben verbalen Äußerungen z.B. auch Bilder, Emoticons und Schriftfarbe einsetzen. Facework wurde bislang hauptsächlich anhand des verbalen codes untersucht. Inwiefern bietet jedoch gerade der para- und nonverbale code relevante Informationen für face? Ziel der vorliegenden Studie ist die systematische Untersuchung sowohl des verbalen als auch des para- und nonverbalen codes mit Blick auf politeness und facework. Dazu wird anhand Computervermittelter Kommunikation in spanischsprachigen Unterhaltungsforen die Verhandlung von face analysiert. Im Fokus steht wie User sich selbst darstellen, von anderen kommentiert werden und sich verteidigen. Neben theoretischen Grundlagen zu face(work), Foren-Kommunikation, Multicodalität und spanischen Perspektiven wird eine umfangreiche und innovative Untersuchungsmethodik für Multicodalität in der Höflichkeitsforschung vorgestellt. Anhand der Analyse wird deutlich, welche Zusammenhänge sich aus Multicodalität und facework ergeben. Die Bedeutung von eingesetzten Bildern für face wird nachgewiesen. Das Desiderat, facework im Hinblick auf den nonverbalen code zu untersuchen, wird eingelöst. 330 $aIn writing their comments on online forums, users make use of images, emoticons, and different text colors. So in addition to verbal content, non-verbal and paraverbal codes provide important information to which other users make reference. This book uses the example of Spanish entertainment forums to study how users reciprocally negotiate "face". It analyzes the role of multicodality in the field of linguistic politeness. 410 0$aLinguistik, Impulse & Tendenzen ;$vBand 66. 606 $aComputers and literacy 606 $aLiteracy$xSocial aspects 606 $aVisual communication 606 $aVisual literacy 608 $aElectronic books. 615 0$aComputers and literacy. 615 0$aLiteracy$xSocial aspects. 615 0$aVisual communication. 615 0$aVisual literacy. 676 $a302.22440285 686 $aIM 2682$2rvk 700 $aFro?hlich$b Uta$01054409 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910460695403321 996 $aFacework in multicodaler spanischer foren-kommunikation$92486959 997 $aUNINA