............................................................................................................... IV LIST OF TABLES ....................................................................................................... X LIST OF FIGURES ................................................................................................... XI LIST OF EQUATIONS ...........................

A stereoselective synthesis of (25S)-Δ(1)-, (25S)-Δ(1,4)-, (25S)-Δ(1,7)-, (25S)-Δ(8(14))-, (25S)-Δ(4,6,8(14))-dafachronic acid, methyl (25S)-Δ(1,4)-dafachronate and (25S)-5α-hydroxy-3,6-dioxocholest-7-en-26-oic acid is described. (25S)-Δ(1,4)-Dafachronic acid and its methyl ester are natural products isolated from corals and have been obtained by synthesis for the first time. (25S)-5α-Hydroxy-3...

5 List of Original papers 7 Abbreviations 8 Introduction 9 Volleyball 9 History 9 Game characteristics 9 Physical demands 11 General injury pattern in volleyball 12 Olympic weightlifting 14 History 14 Characteristics 14 Physical demands 14 General injury pattern 15 The normal patellar tendon 16 Anatomy 16 Blood supply 18 Metabolism 18 Innervation 19 Biomechanics 20 The chronic painful patellar ...

PURPOSE To develop a novel method for constructing a sheet of human corneal endothelial cells (HCECs) and examine the properties of the HCEC sheet. METHODS HCECs were cultured on a cell culture insert for a week; ethylenediamine tetraacetic acid was applied from the bottom of the cell culture insert to attenuate the attachment of HCECs. The sheet of HCECs was constructed by bluntly detaching ...

3 Computation of the shearlet transform 13 3.1 Finite discrete shearlets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.2 A discrete shearlet frame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.3 Inversion of the shearlet transform . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.4 Smooth shearlets . . . . . . . . . . . . . . . . . . . . . . . . . ...

1. Overview of Groups: 9/24/12 1 2. Meeting D2n and Sn: 9/26/12 3 3. Homomorphisms and Isomorphisms: 9/28/12 4 4. The Structure of Cyclic Groups: 10/1/12 5 5. Quotient Groups: 10/3/12 7 6. More Quotient Groups: 10/5/12 8 7. Consequences of Lagrange’s Theorem: 10/8/12 9 8. The First Isomorphism Theorem: 10/10/12 10 9. The Alternating Group: 10/12/12 11 10. Proof That An is Simple when n ≥ 5: 10/...

Let |H| < ‖Λ̂‖. It was Thompson who first asked whether algebras can be derived. We show that r̄ is dominated by Ωμ. On the other hand, in [14, 26, 48], the main result was the description of canonically co-injective, Selberg primes. It is not yet known whether every onto path is Cartan and onto, although [26] does address the issue of surjectivity.

4 Helfrich theory 14 4.1 The Helfrich Hamiltonian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.2 The shape equation of linear theory . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.2.1 Variation of the energy functional . . . . . . . . . . . . . . . . . . . . . . 17 4.2.2 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 4.2.3 A few ...