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...

Lexical Simplification is the task of replacing individual words of a text with words that are easier to understand, so that the text as a whole becomes easier to comprehend, e.g. by people with learning disabilities or by children who learn to read. Although this seems like a straightforward task, evaluating algorithms for this task is not so. The problem is how to build a dataset that provide...

This study investigated whether Lexical Inferencing (L1) and Morphological Instruction (MI) can significantly affect EFL learners’ reading comprehension, furthermore, it also examined their effects on the learners’ vocabulary retention over time. 60 homogeneous EFLlearnerswere randomly assigned to two experimental and a control groups. After the pre-test, participants of the first experimental ...

Lewis (1993) recognized significance of word combinations including collocations by presenting lexical approach. Because of the crucial role of collocation in vocabulary acquisition, this research set out to evaluate the rate of collocations in Iranian EFL learners' writing production across L1 and L2. In addition, L1 interference with L2 collocational use in the learner' writing samples was st...

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...