Nevus lipomatosus superficialis (NLS) is a hamartomatous skin lesion defined by the presence of mature adipose tissues among the collagen bundles of the dermis. It is classified into two forms:the classical form and the solitary form. The classical NLS most commonly involves the pelvic or gluteal region. In this paper, we report a case of classical NLS over the neck because of its atypica...

1. Root Space Decompositions 2 2. Weights 5 3. Weyl Group 8 4. Irreducible Representations 11 5. Basic Concepts of Vector Bundles 13 6. Line Bundles 17 7. Curvature 20 7.1. Curvature of tangent bundles 22 7.2. Curvature of line bundles 24 7.3. Levi curvature 25 8. Ampleness Formulas 27 8.1. Ampleness of irreducible bundles 28 8.2. Ampleness of tangent bundles 29 9. Chern Classes 32 9.1. Chern c...

We give a generalized definition of an elementary transformation of vector bundles on regular schemes by using Maximal Cohen-Macaulay sheaves on divisors. This definition is a natural extension of that given by Maruyama, and has a connection with that given by Sumihiro. By this elementary transformation, we can construct, up to tensoring line bundles, all vector bundles from trivial bundles on ...

Introduction 1 1. Bundles 2 1.1. Pullback 2 1.2. Sections 3 1.3. Fiber bundles as fibrations 4 2. Vector bundles 4 2.1. Whitney sum 5 2.2. Sections of vector bundles 6 2.3. Inner products 6 3. Principal Bundles 7 3.1. Morphisms 7 3.2. Sections and trivializations 8 3.3. Associated bundles 9 3.4. Homotopy classification 11 3.5. B as a functor 14 4. Characteristic classes 16 4.1. Line Bundles 16 ...

In developing Drosophila bristles two species of cross-linker, the forked proteins and fascin, connect adjacent actin filaments into bundles. Bundles form in three phases: (a) tiny bundles appear; (b) these bundles aggregate into larger bundles; and (c) the filaments become maximally cross-linked by fascin. In mutants that completely lack forked, aggregation of the bundles does not occur so tha...

BACKGROUND We introduce Sequence Bundles--a novel data visualisation method for representing multiple sequence alignments (MSAs). We identify and address key limitations of the existing bioinformatics data visualisation methods (i.e. the Sequence Logo) by enabling Sequence Bundles to give salient visual expression to sequence motifs and other data features, which would otherwise remain hidden. ...