Number in marori

The number system in Marori shows a three-way distinction (singular–dual–plural) with distributed and often underspecified (plural vs nonplural, or singular vs non-singular) marking. Nominal number is expressed via marking of free pronouns and certain nouns and their associated verbal indexing, with a three-way distinction in first and second bound pronominals, and a two-way underspecified distinction elsewhere. Verbal number is expressed by suppletive verbal root alternations, typically singular vs non-singular. Dual number/duactional can be expressed by a combination of non-singular and nonplural exponents. Number agreement is semantic in nature, with mismatches possibly expressing an inclusory meaning or a small plural/paucal meaning. While radically different from English in its number system, Marori is similar to English and other European languages in terms of the distribution of plural meanings under negation and other contexts.

Dual number automatic differentiation as applied to two-group cross-section uncertainty propagation

This work addresses the problem of propagating uncertainty from group-wise neutron cross-sections to the results of neutronics diffusion calculations. Automatic differentiation based on dual number arithmetic was applied to uncertainty propagation in the framework of local sensitivity analysis. As an illustration, we consider a two-group diffusion problem in an infinite medium, which has a solution in a closed form. We employ automatic differentiation in conjunction with the sandwich formula for uncertainty propagation in three ways. Firstly, by evaluating the analytical expression for the multiplication factor using dual number arithmetic. Then, by solving the diffusion problem with the power iteration algorithm and the algebra of dual matrices. Finally, automatic differentiation is used to calculate the partial derivatives of the production and loss operators in the perturbation formula from the adjoint-weighted technique. The numerical solution of the diffusion problem is verified against the analytical formulas and the results of the uncertainty calculations are compared with those from the global sensitivity analysis approach. The uncertainty values obtained in this work differ from values given in the literature by less than 1?10?5.

On the Confusion of the Terms dualis and communis in Cledonius

This article attempts to provide an interpretation of a passage on the noun number written by the 5th-century grammarian Cledonius who composed a lemmatised commentary on Donatus’ Ars minor and Ars maior. The passage discussed here is a part of the explanation regarding the noun categories in Ars minor: Numerus, qui unum et plures demonstrat: et communis est numerus, qui et dualis dicitur apud Graecos, ut species facies res. (GL V 10. 19–20). Cledonius’ text confuses two terms dualis and communis, which normally signify different linguistic phenomena. Tim Denecker, whose article covers the history of the term dualis in Latin grammatical treatises, argues that dualis in this passage is indicating a pair and is equated to communis. The aim of the present work is to explain why these two terms have been confused. When comparing Greek and Latin, the Roman grammarians Charisius, Diomedes, Priscian, and Macrobius highlighted the absence of the dual number from Latin, whereas Donatus added it to the singular and plural exemplifying it with two nomina — duo and ambo. Having analysed all of Cledonius’ passages on dualis and communis and compared them with the original text of Donatus, one may notice that Cledonius did not make comments on Donatus’ observations concerning the dual number of duo and ambo. In the author’s view, the grammarian may have opined that the Latin language had no dual number at all, so that in his commentary Latin communis is juxtaposed to Greek dualis and both are opposed to singular and plural.

Dual number automatic differentiation as applied to two-group cross-section uncertainty propagation

This work addresses the problem of propagating uncertainty from group-wise neutron cross-sections to the results of neutronics diffusion calculations. Automatic differentiation based on dual number arithmetic was applied to uncertainty propagation in the framework of local sensitivity analysis. As an illustration, we consider a two-group diffusion problem in an infinite medium, which has a solution in a closed form. We employ automatic differentiation in conjunction with the sandwich formula for uncertainty propagation in three ways. Firstly, by evaluating the analytical expression for the multiplication factor using dual number arithmetic. Then, by solving the diffusion problem with the power iteration algorithm and the algebra of dual matrices. Finally, automatic differentiation is used to calculate the partial derivatives of the production and loss operators in the perturbation formula from the adjoint-weighted technique. The numerical solution of the diffusion problem is verified against the analytical formulas and the results of the uncertainty calculations are compared with those from the global sensitivity analysis approach. The uncertainty values obtained in this work differ from values given in the literature by less than 1?10?5.

Some spelling and language features of publicistic works by Povilas Višinskis

Povilas Višinskis was a significant figure of the Lithuanian culture, society, and politics at the end of the 19th c. and the beginning of the 20th c., an active advocate of the Lithuanian national movement, a member of the national revival organisation Varpas, and a supporter of the movement to regain the banned Latin characters for the Lithuanian language. His creative legacy includes various publicistic works, found in the press or published as separate booklets; that has yet received little attention. The paper analyses some characteristic spelling and language features of publicistic works by Višinskis.Concerning the spelling, a special focus should be on its promiscuity and randomness. The principles of spelling are mixed up, different word forms are used side by side in the same text, and often it is difficult to explain the reasons and consistency of a particular spelling. With this in mind, it is rather difficult to tell which language and spelling is authentic, and which is edited, proofread or corrected by editors. At the same time, it should be pointed out that such variation in spelling is common to Lithuanian writings of that time, reflecting a phase of the developmental process of the standard language at that time.What concerns the language of Višinskis’ publicistic works, it is characterised by the use of some Samogitian features, rather frequent retention of archaic morphological forms (dual number of nouns and verbs, supinum, athematic verbs, archaic pronominal forms) and cases of stem mixing of nouns. His vocabulary is full of dialecticisms, barbarisms, and semantic archaisms. His syntax contains a lot of non-Lithuanian, foreign constructions, especially those with prepositions.In conclusion, one could say that gradually Višinskis’ language and spelling became more homogeneous. In his latest publicistic works, this language and spelling uniformity becomes clear, while particular forms and constructions are used more consistently.

Amami and Okinawa, the Northern Ryukyuan languages

Both Amami and Okinawa belong to the Northern Ryukyuan languages. They are spoken in the southwest region in Japan, and the northern part of the Ryukyu archipelago. Both languages are descended from the same ancestral language. Thus, they have many common features, e.g. glottalized consonants, agglutinative verbal morphology, and correspondence between plural/case markers and so-called animacy hierarchy. However, they also have many different features, e.g. syllable structures (i.e. “pre-syllable” in Okinawa only), verb-final affixes (i.e. the verb-final affix -n in Amami is used in relative clauses, but it is used in main clauses in Okinawa), grammatical numbers (i.e. dual number in Amami only), and degree of grammaticalization in adjectival morphology (i.e. more grammaticalized in Okinawa). You can compare several aspects of those two languages in detail in this chapter.