The goal of these notes is to give a proof of the Dual Ramsey Theorem. This theorem was first proved in “A Dual Form of Ramsey’s Theorem” by Tim Carlson and Steve Simpson, Advances in Mathematics, 1984. The proof presented here is the same proof given in the paper and follows much of the same notation and terminology. The main change is that we will explicitly use the notion of “infinite variab...

The Medical Journal of Australia ISSN: 0025-729X 21 April 2003 178 8 400-402 ©The Medical Journal of Australia 2003 www.mja.com.au History JOHN SIMPSON KIRKPATRICK, generally known as “Simpson”, is one of the most famous Anzacs of the Gallipoli campaign.1-3 From the Gallipoli landing on 25 April 1915 until his death 25 days later, Simpson and his donkey retrieved perhaps 300 casualties from the...

NINETY-FIVE years after his deathJames Young Simpson is generally remembered for his pioneer work on anaesthesia. Gynaecologists also celebrate his memory daily by their use of the uterine sound; obstetricians occasionally resurrect such instruments as his obstetric forceps, and may even know of his early work in 'modern' fields such as vacuum extraction. Two other notable and very different fa...

We have read the point of view presented elegantly by Tzeng and Panerai (2018) with interest. We have to admit there is little hard evidence on which we can base our preference for enhanced blood pressure variability. The arguments against, however, are also not very strong. The argument is perhaps more strongly based on basic principles than solid evidence. We fully agree with Tzeng and Panera...

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first o give a general formulation, interms of fluxional calculus,...

In this paper, a numerical method for integration of fuzzy functions is considered. Fuzzy Newton-Cotes formula, such as fuzzy trapezoidal method and fuzzy Simpson method are calculated by integration of fuzzy functions on two and three equally space points. Also the composite fuzzy trapezoidal and composite fuzzy Simpson method are proposed for n equally space points. The proposed method are il...

We study a generalisation of Simpson reversal (also known as Simpson's paradox or the Yule-Simpson effect) to $2 \times 2 2$ contingency tables and characterise cases for which it can cannot occur with two combinatorial-geometric lemmas. also present conjecture based on some computational experiments expected likelihood such events.

Professor Simpson exhibited a five and a half months' foetus, which had been thrown off by a patient labouring under a severe attack of smallpox. The pustules were distinctly seen all over the foetus, especially on its back. With regard to the time a dead foetus is retained in utero, Prof. Simpson stated that three weeks generally suffices for expelling it; the membranes and placenta first unde...