LEADER 04184nam 22006975 450 001 9910484824403321 005 20200704005856.0 010 $a3-030-15722-9 024 7 $a10.1007/978-3-030-15722-7 035 $a(CKB)4100000008160583 035 $a(DE-He213)978-3-030-15722-7 035 $a(MiAaPQ)EBC5923031 035 $a(PPN)243768745 035 $a(EXLCZ)994100000008160583 100 $a20190513d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Analytical Fuzzy Plane Geometry /$fby Debdas Ghosh, Debjani Chakraborty 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 206 p. 53 illus.) 225 1 $aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v381 300 $aIncludes index. 311 $a3-030-15721-0 327 $aIntroduction -- Basic ideas on fuzzy plane geometry I -- Fuzzy line -- Fuzzy triangle and fuzzy trigonometry -- Fuzzy Circle -- Fuzzy Parabola -- Fuzzy Pareto?optimality -- Concluding Remarks and Future Directions. 330 $aThis book offers a rigorous mathematical analysis of fuzzy geometrical ideas. It demonstrates the use of fuzzy points for interpreting an imprecise location and for representing an imprecise line by a fuzzy line. Further, it shows that a fuzzy circle can be used to represent a circle when its description is not known precisely, and that fuzzy conic sections can be used to describe imprecise conic sections. Moreover, it discusses fundamental notions on fuzzy geometry, including the concepts of fuzzy line segment and fuzzy distance, as well as key fuzzy operations, and includes several diagrams and numerical illustrations to make the topic more understandable. The book fills an important gap in the literature, providing the first comprehensive reference guide on the fuzzy mathematics of imprecise image subsets and imprecise geometrical objects. Mainly intended for researchers active in fuzzy optimization, it also includes chapters relevant for those working on fuzzy image processing and pattern recognition. Furthermore, it is a valuable resource for beginners interested in basic operations on fuzzy numbers, and can be used in university courses on fuzzy geometry, dealing with imprecise locations, imprecise lines, imprecise circles, and imprecise conic sections. 410 0$aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v381 606 $aComputational intelligence 606 $aMathematical optimization 606 $aOptical data processing 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aComputer Imaging, Vision, Pattern Recognition and Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22005 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 615 0$aComputational intelligence. 615 0$aMathematical optimization. 615 0$aOptical data processing. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 14$aComputational Intelligence. 615 24$aOptimization. 615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics. 615 24$aSignal, Image and Speech Processing. 676 $a511.313 676 $a511.313 700 $aGhosh$b Debdas$4aut$4http://id.loc.gov/vocabulary/relators/aut$01225689 702 $aChakraborty$b Debjani$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484824403321 996 $aAn Introduction to Analytical Fuzzy Plane Geometry$92845780 997 $aUNINA LEADER 03657nam 22006015 450 001 9910957177103321 005 20250730101807.0 010 $a3-662-06400-6 024 7 $a10.1007/978-3-662-06400-9 035 $a(CKB)2660000000027140 035 $a(SSID)ssj0001296280 035 $a(PQKBManifestationID)11766117 035 $a(PQKBTitleCode)TC0001296280 035 $a(PQKBWorkID)11348123 035 $a(PQKB)11158428 035 $a(DE-He213)978-3-662-06400-9 035 $a(MiAaPQ)EBC3100326 035 $a(PPN)188265317 035 $a(EXLCZ)992660000000027140 100 $a20130107d1999 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aContinuous Martingales and Brownian Motion /$fby Daniel Revuz, Marc Yor 205 $a3rd ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (XIII, 602 p.) 225 1 $aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x2196-9701 ;$v293 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-64325-7 311 08$a3-642-08400-1 320 $aIncludes bibliographical references and indexes. 327 $a0. Preliminaries -- I. Introduction -- II. Martingales -- III. Markov Processes -- IV. Stochastic Integration -- V. Representation of Martingales -- VI. Local Times -- VII. Generators and Time Reversal -- VIII. Girsanov?s Theorem and First Applications -- IX. Stochastic Differential Equations -- X. Additive Functionals of Brownian Motion -- XI. Bessel Processes and Ray-Knight Theorems -- XII. Excursions -- XIII. Limit Theorems in Distribution -- §1. Gronwall?s Lemma -- §2. Distributions -- §3. Convex Functions -- §4. Hausdorff Measures and Dimension -- §5. Ergodic Theory -- §6. Probabilities on Function Spaces -- §7. Bessel Functions -- §8. Sturm-Liouville Equation -- Index of Notation -- Index of Terms -- Catalogue. 330 $aFrom the reviews: "This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..." Bull.L.M.S. 24, 4 (1992) Since the first edition in 1991, an impressive variety of advances has been made in relation to the material of this book, and these are reflected in the successive editions. 410 0$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x2196-9701 ;$v293 606 $aProbabilities 606 $aProbability Theory 615 0$aProbabilities. 615 14$aProbability Theory. 676 $a519.2/87 686 $a60G44$2msc 686 $a60J60$2msc 700 $aRevuz$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut$054759 702 $aYor$b Marc$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910957177103321 996 $aContinuous martingales and Brownian motion$9375923 997 $aUNINA