Quantitative Analysis (Pierce, Willis Conway; Haenisch, Edward Lauth)

Edward Joseph Conway, 1894-1968

Edward East on the Mendelian Basis of Quantitative Trait Variation.

East’s (1916) analysis of corolla length in Nicotiana longiflora was a capstone study integrating Mendelian genetics with a continuously varying phenotype. Gregor Mendel and Francis Galton produced profound insights into heredity by employingmathematics novel to biology (in Galton’s case, novel to science). Both used Pisum sativum to illustrate different patterns of inheritance. Mendel establis...

Edward.

Conway and iteration hemirings

Conway hemirings are Conway semirings without a multiplicative unit. We also define iteration hemirings as Conway hemirings satisfying certain identities associated with the finite groups. Iteration hemirings are iteration semirings without a multiplicative unit. We provide an analysis of the relationship between Conway hemirings and (partial) Conway semirings and describe several free construc...

Conway Games, Coalgebraically

Using coalgebraic methods, we extend Conway’s original theory of games to include infinite games (hypergames). We take the view that a play which goes on forever is a draw, and hence rather than focussing on winning strategies, we focus on non-losing strategies. Infinite games are a fruitful metaphor for non-terminating processes, Conway’s sum of games being similar to shuffling. Hypergames hav...