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Record Nr. |
UNINA9910480116003321 |
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Autore |
Jørgensen Palle E. T. <1947-> |
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Titolo |
Iterated function systems, moments, and transformations of infinite matrices / / Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (105 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 1003 |
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Disciplina |
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Soggetti |
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Infinite matrices |
Transformations (Mathematics) |
Iterative methods (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 2011, volume 213, number 1003 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Preface""; ""Chapter 1. Notation""; ""1.1. Hilbert space notation""; ""1.2. Unbounded operators""; ""1.3. Multi-index notation""; ""1.4. Moments and moment matrices""; ""1.5. Computations with infinite matrices""; ""1.6. Inverses of infinite matrices""; ""Chapter 2. The moment problem""; ""2.1. The moment problem M = M()""; ""2.2. A Parthasarathy-Kolmogorov approach to the moment problem""; ""2.3. Examples""; ""2.4. Historical notes""; ""Chapter 3. A transformation of moment matrices: the affine case""; ""3.1. Affine maps"" |
""3.2. IFSs and fixed points of the Hutchinson operator""""3.3. Preserving Hankel matrix structure""; ""Chapter 4. Moment matrix transformation: measurable maps""; ""4.1. Encoding matrix A for ""; ""4.2. Approximation of A with finite matrices""; ""Chapter 5. The Kato-Friedrichs operator""; ""5.1. The quadratic form QM""; ""5.2. The closability of QM""; ""5.3. A factorization of the Kato-Friedrichs operator""; ""5.4. Kato connection to A matrix""; ""5.5. Examples""; ""Chapter 6. The integral operator of a moment matrix""; ""6.1. The Hilbert matrix"" |
""6.2. Integral operator for a measure supported on [-1,1]""""Chapter 7. Boundedness and spectral properties""; ""7.1. Bounded Kato |
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operators""; ""7.2. Projection-valued measures""; ""7.3. Spectrum of the Kato operator""; ""7.4. Rank of measures""; ""7.5. Examples""; ""Chapter 8. The moment problem revisited""; ""8.1. The shift operator and three incarnations of symmetry""; ""8.2. Self-adjoint extensions of a shift operator""; ""8.3. Self-adjoint extensions and the moment problem""; ""8.4. Jacobi representations of matrices"" |
""8.5. The triple recursion relation and extensions to higher dimensions""""8.6. Concrete Jacobi matrices""; ""Acknowledgements""; ""Bibliography"" |
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2. |
Record Nr. |
UNINA9910820195403321 |
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Autore |
Sammons Laurie Robinson |
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Titolo |
A handbook for Unstoppable learning / / Laurie Robinson Sammons, Nanci N. Smith ; edited by Douglas Fisher and Nancy Frey |
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Pubbl/distr/stampa |
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Bloomington, Indiana : , : Solution Tree Press, , [2017] |
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c2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (xvi, 142 pages) : illustrations |
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Collana |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Effective teaching |
Teacher effectiveness |
Learning |
Teachers - Professional relationships |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1. Planning focused and purposeful curriculum -- 2. Launching lessons and starting the unit -- 3. Consolidating learning by choosing significant tasks -- 4. Assessing students responsively -- 5. Adapting instruction through differentiation -- 6. Managing and leading the learning. |
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Sommario/riassunto |
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This book presents the seven elements of the Unstoppable Learning model for effective teaching and deep learning: planning, launching, consolidating, assessing, adapting, managing, and leading. Each chapter focuses on a different element as it pertains to designing |
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powerful learning opportunities. The book also provides templates for planning learning targets, assessments, lessons, and units that will help educators create high-performing classrooms. |
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