Elementary Chemistry. Alexander Smith

Elementary Organic Chemistry

Combinatorial Alexander Duality — a Short and Elementary Proof

Let X be a simplicial complex with ground set V . Define its Alexander dual as the simplicial complex X∗ = {σ ⊆ V | V \ σ / ∈ X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|V | − i − 3)-th reduced cohomology group of X∗ (over a given commutative ring R). We give a selfcontained proof from first principles, accessible to the non-ex...

Note: Combinatorial Alexander Duality - A Short and Elementary Proof

Let X be a simplicial complex with ground set V . Define its Alexander dual as the simplicial complex X∗ = {σ ⊆ V | V \ σ / ∈ X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|V | − i − 3)-th reduced cohomology group of X∗ (over a given commutative ring R). We give a selfcontained proof from first principles, accessible to the non-ex...

SOME ASPECTS OF PHOSPHATE CHEMISTRY* By SIR ALEXANDER TODD

14 Jervis, R. E., D. R. Muir, J. P. Butler, and A. R. Gordon, J. Am. Chem. Soc., 75, 2855 (1953); Davies, J. A., R. L. Kay, and A. R. Gordon, J. Chem. Phys., 19, 149 (1951). 15 Sadek, H., and R. M. Fuoss, J. Am. Chem. Soc., 76,5897 (1954). 16 Evers, C. E., and A. G. Knox, J. Am. Chem. Soc., 73, 1739 (1951). 17 Gilkerson, W. R., J. Chem. Phys., 25, 1199 (1956). 18 Accascina, F., A. D'Aprano, and...

The accountant’s social background and stereotype in popular culture: the novels of Alexander Clark Smith

Purpose The paper explores the social origins of Scottish chartered accountants and the accounting stereotype as portrayed in popular fiction. Design/methodology/approach The detective novels of the Scottish chartered accountant Alexander Clark Smith are used as a lens through which to explore the social origins of accountants and the changing popular representations of the accountant (Hopwood,...