Henry Abel Dye

Argumentative Reasoning with ABEL

Most formal approaches to argumentative reasoning under uncertainty focus on the analysis of qualitative aspects. An exception is the framework of probabilistic argumentation systems. Its philosophy is to include both qualitative and quantitative aspects through a simple way of combining logic and probability theory. Probabilities are used to weigh arguments for and against particular hypothese...

Formal Development with ABEL

The Abel-Zeilberger Algorithm

We use both Abel’s lemma on summation by parts and Zeilberger’s algorithm to find recurrence relations for definite summations. The role of Abel’s lemma can be extended to the case of linear difference operators with polynomial coefficients. This approach can be used to verify and discover identities involving harmonic numbers and derangement numbers. As examples, we use the Abel-Zeilberger alg...

Henry Ormerod

at the age of 68, belonged to a family of surgeons. He was educated at the Bristol Royal Infirmary and Medical School, and very soon after qualifying he settled at Westbury. Although his capacity for work was immense, yet in the early years of his practice he had more than one attack of haemoptysis, and it was his opinion that leading a country open-air life had been the means of warding off mo...

Henry Wellcome

fo'c'sle-study running his naval household with the aid of an Admiralty of natural history suppliers and breeders, as well as experts like Lyell, Hooker and the young Huxley in every port. Beatrice Webb once likened Herbert Spencer to a spider collecting facts on the theoretical web he was spinning; the image equally well suits Darwin. A pleasure to read, this exciting new biography deepens our...