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Method of Coding for Multicomponent Objects (RHA) and Its Application for Ordering Roman Fonts

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Abstract—

The authors propose to systematize the font frameworks of the ''H'' sign types of different fonts on the base of the RHA information language, which has been developed for different types of objects, by assigning a code to the framework by placing the H font in the standardized window (FontWindow), with the subsequent calculation of quantity characteristics (characterizations). The codes are rendered in a diagram. The sorting of codes is carried out using the SBCO special alphabet, where S, B, C, O are, on one hand, code elements, and on the other hand, component designations of fonts frameworks. The sorting of codes is carried out by alphabets (1) ratings of assignment of components fields in a FontWindow, (2) entropies, and (3) anentropies. The codes are accompanied by the names of coded fonts. The authors propose a principle of placing codes, which does not depend on the name, style, width, the purpose of the font, and its author. The described method organizes H fonts by resembling of their frameworks. The created list-catalog can include all Latin and Cyrillic H fonts of direct inscriptions. The catalog layout includes 99 codes of H font frameworks ranged into 6 classes from 24 possible classes in the system made by authors. The proposed variant of the applying of the method can be used as a base of creating of a common method of coding and systematization of bicolored (in the present paper) and multicolored images on the plane, including maps and other presentations, which include sets of components of different colors and forms.

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Notes

  1. In contrast to the non-quantitative characteristics of objects, hereinafter, quantitative characteristics, in our case, entropy and anentropy, will be called characterizations.

  2. Hereinafter, in order to demonstrate examples of "H" sign types of different fonts, references to Appendix will be given before the principles of its construction are described.

  3. Relative percentages are understood as the ratio of two quantities, expressed as a percentage when dividing the greater one by the lesser one.

  4. The use of informational entropy as a measure of complexity is, in principle, not the only option for estimating complexity (for example, solving a complex task is not evaluated by entropy).

  5. Investments are qualified as active that directly depend on the presence of the considered components and do not contain explicit parameters related to the calculation procedure (according to the number of components). They are opposed to passive contributions, for which the calculation of the value explicitly depends on the parameters of the calculation. In our case, the parameter of the passive contribution in the formulas is equal to the number of components, four.

  6. The “*” sign is placed before a linguistic (semiotic) object that is non-existent, but was invented as a mental experiment.

  7. This means that different fonts may have equal entropy values.

  8. See, for example, a series of articles in a special issue of the International Journal Bilingualism, 2014, Vol. 18 (5).

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ACKNOWLEDGMENTS

The authors thank K.M. Kirichenko for compiling a program for analyzing images of letters; N.A. Pavlova, T.M. Zhuravskaya, and K.A. Manukyan for help with terminology.

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Correspondence to E. T. Petrova, T. G. Petrov, S. V. Chebanov or S. V. Moshkin.

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Translated by S. Avodkova

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Petrova, E.T., Petrov, T.G., Chebanov, S.V. et al. Method of Coding for Multicomponent Objects (RHA) and Its Application for Ordering Roman Fonts . Autom. Doc. Math. Linguist. 53, 143–159 (2019). https://doi.org/10.3103/S0005105519030087

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