6,182 research outputs found
Inverse scattering for vowel articulation with frequency-domain data
An inverse scattering problem is analyzed for vowel articulation in the human
vocal tract. When a unit amplitude, monochromatic, sinusoidal volume velocity
is sent from the glottis towards the lips, various types of scattering data are
used to examine whether the cross sectional area of the vocal tract can
uniquely be determined by each data set. Among the data sets considered are the
absolute value of the pressure measured at a microphone placed at some distance
from the lips, the pressure at the lips, and the transfer function from the
glottis to the lips. In case of nonuniqueness, it is indicated what additional
information may be used for the unique determination.Comment: 29 pages, 9 figure
A theoretical approach for Pareto-Zipf law
We suggest an analytical approach for Pareto-Zipf law, where we assume random
multiplicative noise and fragmentation processes for the growth of the number
of citizens of each city and the number of the cities, respectively.Comment: 6 pages 2 figures and dated for IJMPC Volume 19 presumably issue
A new model for competition between many languages
Time evolutions of number of cities, population of cities, world population,
and size distribution of present languages are studied in terms of a new model,
where population of each city increases by a random rate and decreases by a
random division. World population and size distribution of languages come out
in good agreement with the available empirical data.Comment: 6 pages 5 figure
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