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Making and Breaking the Grid, Third Edition
  • Language: en
  • Pages: 258

Making and Breaking the Grid, Third Edition

Take your design work to the next level with Making and Breaking the Grid: A Graphic Design Layout Workshop (Third Edition), the essential easy-to-use guide for designers working in every medium. With over 150,000 copies in print, this new edition makes a classic text relevant to a new generation of designers. Updates include: A cross-cultural inclusive re-envisioning of design history related to the grid, including alternative approaches to layout Expanded discussion of grid use in interactive, UX/UI scenarios Greater equity in the representation of design work by women and BIPOC designers Grids are the most basic and essential forms in graphic design—and they can be the most rigid. This ...

Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$
  • Language: en
  • Pages: 79

Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$

This work studies the adjunction theory of smooth 3-folds in P]5. Because of the many special restrictions on such 3-folds, the structure of the adjunction theoretic reductions are especially simple, e.g. the 3-fold equals its first reduction, the second reduction is smooth except possibly for a few explicit low degrees, and the formulae relating the projective invariants of the given 3-fold with the invariants of its second reduction are very explicit. Tables summarizing the classification of such 3-folds up to degree 12 are included. Many of the general results are shown to hold for smooth projective n-folds embedded in P]N with N 2n -1.

Real Analytic and Algebraic Geometry
  • Language: en
  • Pages: 371

Real Analytic and Algebraic Geometry

  • Type: Book
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  • Published: 2006-11-14
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  • Publisher: Springer

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Axiomatic Stable Homotopy Theory
  • Language: en
  • Pages: 130

Axiomatic Stable Homotopy Theory

We define and investigate a class of categories with formal properties similar to those of the homotopy category of spectra. This class includes suitable versions of the derived category of modules over a commutative ring, or of comodules over a commutative Hopf algebra, and is closed under Bousfield localization. We study various notions of smallness, questions about representability of (co)homology functors, and various kinds of localization. We prove theorems analogous to those of Hopkins and Smith about detection of nilpotence and classification of thick subcategories. We define the class of Noetherian stable homotopy categories, and investigate their special properties. Finally, we prove that a number of categories occurring in nature (including those mentioned above) satisfy our axioms.

Triangular Algebras and Ideals of Nest Algebras
  • Language: en
  • Pages: 65

Triangular Algebras and Ideals of Nest Algebras

Immersive environments such as virtual reality technology makes possible can respond to their audiences, so that each person's experience of the environment is unique. This volume brings together 11 essays along with artists' projects produced at the Banff Centre for the Arts in Canada to explore issues raised by the creation of virtual environments. The essays approach the social and cultural implications of cyberspace from the perspective of cultural studies, communications, art history, art criticism, English, and women's studies; while artists who created nine virtual worlds at the Banff Centre discuss what they have tried to accomplish in both theoretical and technical terms. With 64 illustrations, including 18 color plates. Annotation copyright by Book News, Inc., Portland, OR

Solution of the Truncated Complex Moment Problem for Flat Data
  • Language: en
  • Pages: 69

Solution of the Truncated Complex Moment Problem for Flat Data

We introduce a matricial approach to the truncated complex moment problem, and apply it to the case of moment matrices of flat data type, for which the columns corresponding to the homogeneous monomials in [italic]z and [italic]z̄ of highest degree can be written in terms of monomials of lower degree. We discuss the connection between complex moment problems and the subnormal completion problem for 2-variable weighted shifts, and present in detail the construction of solutions for truncated complex moment problems associated with monomials of degrees one and two.

Global Aspects of Homoclinic Bifurcations of Vector Fields
  • Language: en
  • Pages: 143

Global Aspects of Homoclinic Bifurcations of Vector Fields

In this book, the author investigates a class of smooth one parameter families of vector fields on some $n$-dimensional manifold, exhibiting a homoclinic bifurcation. That is, he considers generic families $x_\mu$, where $x_0$ has a distinguished hyperbolic singularity $p$ and a homoclinic orbit; an orbit converging to $p$ both for positive and negative time. It is assumed that this homoclinic orbit is of saddle-saddle type, characterized by the existence of well-defined directions along which it converges to the singularity $p$. The study is not confined to a small neighborhood of the homoclinic orbit. Instead, the position of the stable and unstable set of the homoclinic orbit is incorporated and it is shown that homoclinic bifurcations can lead to complicated bifurcations and dynamics, including phenomena like intermittency and annihilation of suspended horseshoes.

Coherence for Tricategories
  • Language: en
  • Pages: 94

Coherence for Tricategories

This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are also defined so as to extend the concepts of homomorphism and biequivalence for bicategories.

Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
  • Language: en
  • Pages: 604

Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

  • Type: Book
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  • Published: 2018-09-18
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  • Publisher: Springer

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Classification of Direct Limits of Even Cuntz-Circle Algebras
  • Language: en
  • Pages: 129

Classification of Direct Limits of Even Cuntz-Circle Algebras

We prove a classification theorem for purely infinite C∗-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.