Paper: Simulation Of Word-Meaning Stochastic Processes

ACL ID C69-4901
Title Simulation Of Word-Meaning Stochastic Processes
Venue International Conference on Computational Linguistics
Session Main Conference
Year 1969
Authors

set Lt. A well-defined equivalence relation corresponding to cognation parti- tions the elements of ~TLt (T a real interval) into equivalence classes. If k6Ls, I~L t (t,s6T) are cognate, we write ~(k,l) = i. Otherwise ~(k,1) = O. Further, we must postulate the existence of a finite abstract set M (corresponding to the universal set of meanings), and a procedure for defining, for any t, and any Lt, a unique map from M into Lt. This map, written M ~Lt, specifies that for each t m~M there is a i~ L t such that m~l (i mean. , ss m). Hypotheses (iii) and (iv) imply that the changes over time in the image of the map M---~*-t Lt have a certain stochastic aspect. This can be modelled by the probability statement P[~(k,l) = 1] = i - X(t- s) ÷ h, a universal constant, t>s, and ~t-s -~ 0 as t-~s; an...