LEADER 04398nam 22006854a 450 001 9910451349603321 005 20200520144314.0 010 $a1-281-89846-5 010 $a9786611898465 010 $a981-270-241-5 035 $a(CKB)1000000000334353 035 $a(EBL)296084 035 $a(OCoLC)476063280 035 $a(SSID)ssj0000118767 035 $a(PQKBManifestationID)11117132 035 $a(PQKBTitleCode)TC0000118767 035 $a(PQKBWorkID)10058266 035 $a(PQKB)10227709 035 $a(MiAaPQ)EBC296084 035 $a(WSP)00005665 035 $a(Au-PeEL)EBL296084 035 $a(CaPaEBR)ebr10173946 035 $a(EXLCZ)991000000000334353 100 $a20070413d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCategorical structures and their applications$b[electronic resource] $eproceedings of the North-West European Category Seminar, Berlin, Germany, 28-29 March 2003 /$fedited by W. Ga?hler and G. Preuss 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2004 215 $a1 online resource (356 p.) 300 $a"Dedicated to Horst Herrlich on the occasion of his 65th birthday"--P. [v]. 311 $a981-256-053-X 320 $aIncludes bibliographical references. 327 $aContents; Preface; Introduction; Opening Ceremony of the North-West European Category Seminar 2003; On Boole's Booleanness B. Banaschewski; Homeomorphically Closed Nearness Spaces H. L. Bentley and John W. Carlson; The Tensor Product of Orthomodular Posets Reinhard Borger; On a Weak Form of the Blumberg Property Wing-Sum Cheung, Yu-Ting Lin, George E. Strecker and Shiojenn Tseng; Saturated Collections of Metrics E. Colebunders, R. Lowen and M. Sioen; A Uniform Space Proof of a Metrisation Theorem P. J. Collins 327 $aClassification of Closure Operators for Categories of Topological Spaces Dikran Dikranjan, Walter Tholen and Stephen WatsonTopological Structures in Logics Werner Gahler; The Structure of Affine Algebraic Sets Eraldo Giuli; A Twisted Triple Category of Track Commutative Cubes K. A. Hardie and K. H. Kamps; Productivity of Coreflective Classes in Some Topological Structures; A Characterization of Co-Retracts of Functional Structures; Maximal (Sequentially) Compact Topologies Hans-Peter A. Kiinzi and Dominic van der Zypen; Supertopologies as Starting Points for Generalized Continuity Structures 327 $aIntroducing Lagois CorrespondencesOn (B,B)-Projectivity Helga Oltmanns, Valdis Laan, Ulrich Knauer; On Coalgebras which are Algebras; A Hyperspace Completion for Semiuniform Convergence Spaces and Related Hyperspace Structures; Convex Effect Algebras and Partially Ordered Positively Convex Modules; Fibrewise Sobriety; Two Applications of Elementary Submodels to Partitions of Topological Spaces; L-Valued Categories: Generalities and Examples Related to Algebra and Topology; Horst Herrlich's Publications; Bernhard Banaschewski: Two Poems 330 $aThe book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin. The spectrum of these mathematical results reflects the varied interests of Horst Herrlich - one of the leading category theorists of the world - to whom this volume is dedicated in view of his 65th birthday. The book contains applications of categorical methods in various branches of mathematics such as algebra, analysis, logic and topology, as well as fuzzy structures and computer science. At the end of the book the reader 606 $aCategories (Mathematics)$vCongresses 606 $aTopological spaces$vCongresses 606 $aMetric spaces$vCongresses 606 $aTopology$vCongresses 608 $aElectronic books. 615 0$aCategories (Mathematics) 615 0$aTopological spaces 615 0$aMetric spaces 615 0$aTopology 676 $a512/.62 701 $aGa?hler$b Werner$056836 701 $aPreuss$b Gerhard$f1940-$0914619 701 $aHerrlich$b Horst$058859 712 12$aNorth-West European Category Seminar 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451349603321 996 $aCategorical structures and their applications$92049852 997 $aUNINA LEADER 05319nam 2201369z- 450 001 9910595066203321 005 20220916 035 $a(CKB)5680000000080871 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/92086 035 $a(oapen)doab92086 035 $a(EXLCZ)995680000000080871 100 $a20202209d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNew Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus 210 $aBasel$d2022 215 $a1 online resource (368 p.) 311 08$a3-0365-4906-4 311 08$a3-0365-4905-6 330 $aThis reprint focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve real-world problems. It is impossible to deny that fractional behaviour exists in nature. Any phenomenon that has a pulse, rhythm, or pattern appears to be a fractal. The 17 papers that were published and are part of this volume provide credence to that claim. A variety of topics illustrate the use of fractional calculus in a range of disciplines and offer sufficient coverage to pique every reader's attention. 606 $aMathematics and Science$2bicssc 606 $aResearch and information: general$2bicssc 610 $aAB-fractional operator 610 $aAdomian decomposition method 610 $aasymptotic stability 610 $aAtangana-Baleanu fractional derivative operator 610 $abasin of attraction 610 $abessel function 610 $abeta function 610 $aboundedness 610 $aCaputo derivative 610 $aCaputo fractional derivative 610 $aCaputo-Fabrizio derivative 610 $aCaputo-Fabrizio derivative 610 $aCaputo-Hadamard fractional derivative 610 $aCaputo-Hadamard fractional integral 610 $aCattaneo equation 610 $acomputational cost 610 $acomputational order of convergence 610 $aconvex 610 $acubic B-splines 610 $adelta function 610 $aefficiency index 610 $aElzaki transform 610 $aEuler's integral of gamma functions 610 $aexponential convex 610 $aextended cubic B-splines 610 $aextremal solutions 610 $aFeje?r-Hadamard inequality 610 $aFisher's equation 610 $afixed point theory 610 $aFornberg-Whitham equation 610 $aFox-Wright-function 610 $afractal dimensions 610 $afractional 610 $afractional calculus 610 $afractional div-curl systems 610 $afractional kinetic equation 610 $afractional transforms 610 $afractional vector operators 610 $afractional-order differential equations 610 $ageneralized fractional kinetic equation 610 $ageneralized hypergeometric series 610 $aGould-Hopper-Laguerre-Sheffer matrix polynomials 610 $aHadamard inequality 610 $aHalley's method 610 $aharmonically convex function 610 $aHelmholtz decomposition theorem 610 $aHermite-Hadamard-type inequalities 610 $aHilfer fractional derivative 610 $aHo?lder's inequality 610 $aHukuhara difference 610 $ahybrid Caputo-Hadamard fractional differential equation and inclusion 610 $ahybrid control 610 $ainequalities 610 $aMittag-Leffler kernel 610 $amodel calibration 610 $amonotone iterative method 610 $an/a 610 $aNeimark-Sacker bifurcation 610 $anew iterative transform method 610 $anon-singular function involving kernel fractional operator 610 $anonlinear models 610 $aoperational matrices 610 $aoperational methods 610 $aperiod-doubling bifurcation 610 $aprey-predator model 610 $aquantum 610 $aquasi-monomiality 610 $aRiemann zeta-function 610 $aRiemann-Liouville derivative 610 $asequences 610 $ashifted Vieta-Lucas polynomials 610 $asystem of Whitham-Broer-Kaup equations 610 $athermostat modeling 610 $atrigonometric cubic B-splines 610 $atyphoid fever disease 610 $aumbral calculus 610 $avaccination 610 $aweighted (k,s) fractional derivative 610 $aweighted (k,s) fractional integral operator 610 $aweighted generalized Laplace transform 610 $aYang transform 610 $a?-Caputo derivative 615 7$aMathematics and Science 615 7$aResearch and information: general 700 $aTassaddiq$b Asifa$4edt$01332985 702 $aYaseen$b Muhammad$4edt 702 $aTassaddiq$b Asifa$4oth 702 $aYaseen$b Muhammad$4oth 906 $aBOOK 912 $a9910595066203321 996 $aNew Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus$93041193 997 $aUNINA