1.

Record Nr.

UNINA9910698625503321

Autore

Bastin Edson S (Edson Sunderland), <1878-1953, >

Titolo

Economic geology of the feldspar deposits of the United States / / by Edson S. Bastin

Pubbl/distr/stampa

Washington, D.C. : , : Department of the Interior, United States Geological Survey, , 1910

Washington : , : Government Printing Office

Descrizione fisica

1 online resource (85 pages, VIII pages of plates) : illustrations, maps

Collana

Geological Survey bulletin ; ; 420

Soggetti

Feldspar - United States

Feldspar

United States

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from title screen (viewed June 30, 2014).

Nota di bibliografia

Includes bibliographical references and index.



2.

Record Nr.

UNINA9910827875003321

Autore

Field Mike

Titolo

Symmetry breaking for compact Lie groups / / Michael Field

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1996

©1996

ISBN

1-4704-0159-2

Descrizione fisica

1 online resource (185 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 574

Disciplina

515/.353

Soggetti

Bifurcation theory

Lie groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 1996, Volume 120, Number 574 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""1. Introduction""; ""1.1. Notes for the reader""; ""1.2. Acknowledgements""; ""2. Technical Preliminaries and Basic Notations""; ""2.1. Î?-sets and isotropy types""; ""2.2. Representations""; ""2.3. Isotropy types for representations""; ""2.4. Polynomial Invariants and Equivariants""; ""2.5. Smooth families of equivariant maps""; ""2.6. Normalized families""; ""3. Branching and invariant group orbits""; ""3.1. Relative equilibria and normal hyperbolicity""; ""3.2. Branches of relative equilibria""; ""3.3. The branching pattern""; ""3.4. Stabilities""

""3.5. Branching conditions""""3.6. The signed indexed branching pattern""; ""3.7. Stable families""; ""3.8. Determinacy""; ""3.9. Strong determinacy""; ""4. Genericity theorems""; ""4.1. Semi-algebraic and semi-analytic sets""; ""4.2. Invariant and equi variant generators""; ""4.3. The variety Σ""; ""4.4. Stability theorems I: Weak regularity""; ""4.5. Stability theorems II: Regular families""; ""4.6. Determinacy""; ""4.7. Examples related to finite reflection groups""; ""5. Finitely determined bifurcation problems I""; ""5.1. The phase vector field""

""5.2. The spaces A[sub(h)](Î?,V), B[sub(h)](Î?,V)""""5.3. Strong determinacy""; ""6. Finitely-determined bifurcation problems II""; ""6.1. Statement of the main theorem""; ""6.2. 2-stable relative equilibria""; ""7. Strong determinacy: Technical preliminaries""; ""7.1. Introduction""; ""7.2. Notational conventions""; ""7.3. Local geometry""; ""7.4. Weakly regular families""; ""7.5. Analytic families and solution branches""; ""7.6.



Compatible parametrizations and initial exponents""; ""7.7. Remarks on the set Î?(f)""; ""7.8. The parametrization theorem""; ""7.9. The space R[sup(2)]""

""7.10. Initial exponents and the space R[sup(3)]""""8. Strong determinacy: Î? finite""; ""8.1. Analytic parametrizations""; ""8.2. Estimates on eigenvalues""; ""8.3. Fractional power series""; ""8.4. Eigenvalue estimates: Analytic case""; ""8.5. Eigenvalue estimates: Smooth case""; ""8.6. Proof of Theorem 8.2.6""; ""8.7. Strong determinacy: Î? finite""; ""8.8. Formation of new branches under perturbation""; ""9. Strong determinacy: Î? compact, non-finite""; ""9.1. Polar blowing-up: Local theory""; ""9.2. Polar blowing-up: Global theory""; ""9.3. Polar blowing-up a Î?-manifold""

""9.4. Blowing- up""""9.4.1. Blowing-up along a linear subspace""; ""9.4.2. Blowing-up analytic varieties""; ""9.4.3. Blowing-up algebraic varieties""; ""9.5. Conical sets""; ""9.6. Algebraic and analytic structure of the orbit strata""; ""9.7. Blowing-up representations""; ""9.7.1. Analytic theory""; ""9.7.2. Algebraic theory""; ""9.8. A tangent and normal decomposition""; ""9.9. Blowing-up arcs""; ""9.10. Analytic parametrizations of solution branches""; ""9.11. Lifting analytic parametrizations""; ""9.12. Controlling the lifts of analytic parametrizations""

""9.13. Symmetric structure of parametrizations""