Linguistics

An Icelandic-English Dictionary and The Graphical Law [Part II]

Authors: Anindya Kumar Biswas
Comments: 42 Pages. A mistake in plotting BW(c=0.01) has been rectified

We continue to study An Icelandic-English Dictionary, the Second Edition, brought out by theOxford University Press, way back in the year 1957. We draw the natural logarithm of the numberof words(in bold) without and with supplementary words, normalised, starting with a letter vs thenatural logarithm of the rank of the letter, normalised. We find that the words(in bold) underliea magnetisation curve. This is the magnetisation curve in the Bethe-Peierls approximation ofthe Ising model, BP(4,βH = 0.06), in the presence of four nearest neighbours and little externalmagnetic field, βH = 0.06. Unlike the head words, all words(in bold) being in use for a fewhundred years do not go over, under successive normalisations, fully to the exact Onsager solutionof the two dimensional Ising model in the absence of external magnetic field, reflecting goingover of the Icelandic language to its offsprings. Moreover, drawing the natural logarithm of thenumber of words(in bold) with supplementary words, normalised, starting with a letter in theexpanded alphabet scheme (i.e. like considering A and A' separate) as it is laid out in the Icelandicdictionary, vs the natural logarithm of the rank of the letter, normalised, we find that the underlyingmagnetisation curve is BP(4,βH = 0.04).
Category: Linguistics