Language Grammar

Get Analyses of Script: Properties of Characters and Writing PDF

By Gabriel Altmann, Fan Fengxiang (editors)

ISBN-10: 3110196417

ISBN-13: 9783110196412

This quantity offers 12 papers on a brand new method of the research of writing structures. For the 1st time, quantitative tools are brought into this region of analysis in a scientific manner. the person contributions supply an outline approximately quantitative homes of symbols and of writing structures, introduce tools of research, learn person writing structures as used for various languages, organize an explanatory version of phenomena hooked up to script development/evolution, and provides a viewpoint to a common idea of writing platforms.

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Applying (9) to the data in Table 4 we obtain the result in its third column. The graphic display is in Figure 2. The fit is excellent but it can be made still simpler. In the last row of Table 4 we see that the value of parameter a is approximately 2. Replacing a = 2 in (8) we obtain the so-called Lotka distribution Px = Px = 6 x2 π2 , x = 1, 2, 3, . . , (10) called also the ergodic distribution of population size (cf. Wimmer & Altmann 1999: 394). However, truncating it at the right side we obtain another 36 Fan Fengxiang and Gabriel Altmann 200 150 f(x) NP(x): (9) NP(x): (11) 100 50 0 1 2 3 4 5 6 7 8 9 10 Figure 2: Polyphonemics of English graphemes: right truncated zeta (9) normalizing constant Px = 1 x2 [π2 /6 − Ψ(R + 1)] , x = 1, 2, 3, .

The same holds for the comparison of individual letters in languages using Latin script and the relationship with the letter/grapheme frequency of occurrence. ” In: Glottometrics, 9; 29–39. Maˇcutek, Ján 2006 “On the distribution of graphemic representations”. This volume, pp. 75– 78. ; Skees, P. 1970 “Some statistical aspects of amounts and duration of rainfall”. In: Patil, Ganapati P. ), Random Counts in Scientific Work. University Park: The Pennsylvania State University, 73–94. Wimmer, Gejza; Altmann, Gabriel 1999 Thesaurus of univariate discrete probability distributions.

We define first PP = ∑ (13) wx x∈n as the sum of all weights (positions) of in the graphemes of the set nx . For the letter we obtain from the above example nq = 5 and PP = 2 + 2 + 1 + 1 + 1 = 7. For comparative purposes we define PP = 1 ∑ |n | x∈n wx . 4. The results for all letters are given in Table 8, #G denoting the number of graphemes and MLU mean letter utility. Ordering the letters according to their utility in graphemes we obtain the order: .

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Analyses of Script: Properties of Characters and Writing Systems by Gabriel Altmann, Fan Fengxiang (editors)

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