By Altmann, Gabriel, Gabriel Altmann
This quantity offers 12 papers on a brand new method of the research of writing platforms. For the 1st time, quantitative equipment are brought into this sector of study in a scientific means. the person contributions supply an summary approximately quantitative homes of symbols and of writing structures, introduce equipment of research, learn person writing structures as used for various languages, organize an explanatory version of phenomena attached to script development/evolution, and provides a standpoint to a basic conception of writing structures.
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Extra resources for Analyses of Script: Properties of Characters and Writing Systems (Quantitative Linguistics) (German Edition)
The third possibility would be to consider the grapheme
It is deﬁned as the sum of squares of the probability of graphemic representations, K R = ∑ p2i . e. pi = fi /N, which gives R= 1 K 2 ∑ fi . N 2 i=1 (3a) Here Kand N are different for each phoneme. This index shows the concentration of graphemic representatives. If all frequencies are concentrated in one grapheme, then R = 1. e. the diversity is maximal, it attains the value R = 1/K. e. R is the coordinate of the phoneme. 9898. 2265. It is possible to norm R in order to restrict it to the interval <0, 1>, but we leave in its original form.
8) xb where K is the proportionality constant having the function of the normalizing constant, since we use (8) as a probability distribution. The parameter b is, again, a control parameter braking over-strong polyphonemy. Formula (8) is usually called Zipf’s law or zeta distribution. Now, theoretically (8) has an inﬁnite support, which is a nonrealistic situation. For our purposes it will be truncated after x = 10 because no grapheme represents more than 10 phonemes (up to now or in this variant of English).