01512nam0-2200505-i-450-99000980005040332120131206123228.0978-0-8218-9211-4hardback000980005FED01000980005(Aleph)000980005FED0100098000520131206d2013----km-y0itay50------baengUSa---a---001yyIntroduction to quantum graphsGregory Berkolaiko, Peter KuchmentProvidenceAmerican Mathematical Society2013XIII, 270 p.26 cmMathematical surveys and monographs186Meccanica quantisticaPresentazione di ricercheTeoria degli operatori autoaggiunti in teoria quantistica, inclusa l'analisi spettraleCaos quantisticoGrafi e matriciProblemi al contorno su grafi e retiPDE su grafi e retiGuide d'onda quantisticaFili quantici530.1201'5115Berkolaiko,Gregory303934Kuchment,Peter60064ITUNINAREICATUNIMARCBK990009800050403321C-46-(186262MA1MA181-0281Q1081Q3581Q5005C5034B4535R0282D77Introduction to quantum graphs837061UNINA04345nam 2200529 450 99646640840331620220527145604.03-030-75809-5(CKB)4100000011979583(MiAaPQ)EBC6676563(Au-PeEL)EBL6676563(OCoLC)1260347494(PPN)258059648(EXLCZ)99410000001197958320220326d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierRational sphere maps /John P. D'AngeloCham, Switzerland :Springer,[2021]©20211 online resource (244 pages)Progress in Mathematics ;Volume 3413-030-75808-7 Intro -- Preface -- Contents -- 1 Complex Euclidean Space -- 1 Generalities -- 2 The Groups Aut(mathbbB1), SU(2), and SU(1,1) -- 3 Automorphisms of the Unit Ball -- 4 Hermitian Forms -- 5 Proper Mappings -- 6 Some Counting -- 7 A GPS for This Book -- 2 Examples and Properties of Rational Sphere Maps -- 1 Definition and Basic Results about Rational Sphere Maps -- 2 Sphere-Ranks and Target-Ranks -- 3 Ranks of Products -- 4 Juxtaposition -- 5 The Tensor Product Operation -- 6 The Restricted Tensor Product Operation -- 7 An Abundance of Rational Sphere Maps -- 8 Some Results in Low Codimension -- 9 A Result in Sufficiently High Codimension -- 10 Homotopy and Target-Rank -- 11 Remarks on Degree Bounds -- 12 Inverse Image of a Point -- 13 The General Rational Sphere Map -- 14 A Detailed Rational Example -- 15 An Example in Source Dimension 3 -- 3 Monomial Sphere Maps -- 1 Properties of Monomial Sphere Maps -- 2 Some Remarkable Monomial Sphere Maps -- 3 More on These Remarkable Polynomials -- 4 Cyclic Groups and Monomial Sphere Maps -- 5 Circulant Matrices -- 6 The Pell Equation -- 7 Elaboration of the Method for Producing Sharp Polynomials -- 8 Additional Tricks -- 9 Maps with Source Dimension 2 and Target Dimension 4 -- 10 Target-Ranks for Monomial Sphere Maps -- 4 Monomial Sphere Maps and Linear Programming -- 1 Underdetermined Linear Systems -- 2 An Optimization Problem for Monomial Sphere Maps -- 3 Two Detailed Examples in Source Dimension 2 -- 4 Results of Coding and Consequences in Source Dimension 2 -- 5 Monomial Sphere Maps in Higher Dimension -- 6 Sparseness in Source Dimension 2 -- 7 Sparseness in Source Dimension at Least Three -- 8 The Optimal Polynomials in Degrees 9 and 11 -- 9 Coding -- 5 Groups Associated with Holomorphic Mappings -- 1 Five Groups -- 2 Examples of the Five Groups -- 3 Hermitian-Invariant Groups for Rational Sphere Maps.4 Additional Examples -- 5 Behavior of Γf Under Various Constructions -- 6 Examples Involving the Symmetric Group -- 7 The Symmetric Group -- 8 Groups Arising from Rational Sphere Maps -- 9 Different Representations -- 10 Additional Results -- 11 A Criterion for Being a Polynomial -- 6 Elementary Complex and CR Geometry -- 1 Subvarieties of the Unit Ball -- 2 The Unbounded Realization of the Unit Sphere -- 3 Geometry of Real Hypersurfaces -- 4 CR Functions and Mappings -- 5 Strong Pseudoconvexity of the Unit Sphere -- 6 Comparison with the Real Case -- 7 Varieties Associated with Rational Sphere Maps -- 8 Examples of Xf -- 9 A Return to the Definition of Rational Sphere Map -- 7 Geometric Properties of Rational Sphere Maps -- 1 Volumes -- 2 A Geometric Result in One Dimension -- 3 An Integral Inequality -- 4 Volume Inequalities for Polynomial and Rational Sphere Maps -- 5 Comparison with a Real Variable Integral Inequality -- 8 List of Open Problems -- Appendix Bibliography -- -- Index.Progress in mathematics ;Volume 341.Spherical functionsEuclidean algorithmFuncions esferoïdalsthubAlgorismesthubLlibres electrònicsthubSpherical functions.Euclidean algorithm.Funcions esferoïdalsAlgorismes515.53D'Angelo John P.60384MiAaPQMiAaPQMiAaPQBOOK996466408403316Rational Sphere Maps1904962UNISA03300nam 22005295 450 991015532960332120200702184005.0978331941971810.1007/978-3-319-41971-8(CKB)3710000000964754(DE-He213)978-3-319-41971-8(MiAaPQ)EBC4749248(PPN)197140335(EXLCZ)99371000000096475420161128d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrier3D Automated Breast Volume Sonography A Practical Guide /by Veronika Gazhonova1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XXII, 122 p. 96 illus., 93 illus. in color.) 3-319-41970-6 3-319-41971-4 Includes bibliographical references.Introduction -- The history of the appearance and development of the automatic whole breast sonography (3D ABVS) -- Current state of the 3D ABVS -- 3D ABVS Technique on ACUSON S2000 ABVS -- Clinical application of 3D ABVS for breast studies -- Normal breast.-Fibroadenoma -- Breast cystic disease -- Breast cancer -- Male breast -- Mastitis -- Implants -- Breast scar deformity -- Limitations and artifacts -- Conclusion. .This book introduces an exciting new method for breast ultrasound diagnostics – automated whole-breast volume scanning (3D ABVS). Scanning technique is described in detail, with guidance on scanning positions and protocols. Imaging findings are then illustrated and discussed for normal breast variants, the different forms of breast cancer, fibroadenomas, cystic disease, benign and malignant male breast disorders, mastitis, breast implants, and postoperative breast scars. In order to aid appreciation of the benefits of 3D ABVS, comparisons with findings on X-ray mammography and conventional 2D hand-held US are presented. Readers will be especially impressed by the convincing demonstration of the advantages of the new method for diagnosis of breast cancer in women with dense glandular tissue. In enabling readers to learn how to perform and interpret 3D ABVS, this book will be of great value for all who are embarking on its use. It will also serve as a welcome reference for radiologists, oncologists, and ultrasonographers who already have some familiarity with the technique.RadiologyGynecologyOncologyUltrasoundhttps://scigraph.springernature.com/ontologies/product-market-codes/H29064Gynecologyhttps://scigraph.springernature.com/ontologies/product-market-codes/H26006Oncologyhttps://scigraph.springernature.com/ontologies/product-market-codes/H33160Radiology.Gynecology.Oncology.Ultrasound.Gynecology.Oncology.616.07543Gazhonova Veronikaauthttp://id.loc.gov/vocabulary/relators/aut760479BOOK99101553296033213D Automated Breast Volume Sonography1538755UNINA