The Corpus of Czech Verse

The article presents the Corpus of Czech Verse (i.e. a lemmatised, phonetically, morphologically, metrically and strophically annotated corpus of Czech poetry) and the online tools and frequency lists that give access to its data. The following online tools are described: Database of Czech metres – the main tool for working with the corpus data, Gunstick – a web application that serves to investigate the frequency of rhyme pairs and their historical development, Hex – an application which enables to search the Corpus of Czech Verse for texts which contain a keyword specified by the user, or to display all keywords found in the group of texts specified by the user, and Euphonometer – application which enables to quantify the degree of non-randomness of sound repetition in any text

Metre and Semantics in the Poetry of Czech Post-Symbolists Accessed via LDA Topic Modelling

The article deals with the relationship between semantics and poetic meter in the works of Czech post-symbolist poets and their predecessors. We access the phenomena by means of a machine-driven meter recognition on one hand and LDA topic modelling on the other. We first show how the poetic groups differ in their general preferences for particular topics. Next we analyze the topic distributions in two dominant metres (i.e. iamb and trochee) across the poetic groups

Symmetries of modules of differential operators

Let ${\cal F}\_\lambda(S^1)$ be the space of tensor densities of degree (or weight) $\lambda$ on the circle $S^1$. The space ${\cal D}^k\_{\lambda,\mu}(S^1)$ of $k$-th order linear differential operators from ${\cal F}\_\lambda(S^1)$ to ${\cal F}\_\mu(S^1)$ is a natural module over $\mathrm{Diff}(S^1)$, the diffeomorphism group of $S^1$. We determine the algebra of symmetries of the modules ${\cal D}^k\_{\lambda,\mu}(S^1)$, i.e., the linear maps on ${\cal D}^k\_{\lambda,\mu}(S^1)$ commuting with the $\mathrm{Diff}(S^1)$-action. We also solve the same problem in the case of straight line $\mathbb{R}$ (instead of $S^1$) and compare the results in the compact and non-compact cases.Comment: 29 pages, LaTeX, 4 figure

A METHOD OF MEASURING THE DEGREE OF ORGANIC MATTER DEGRADABILITY

A method has been proposed to determine the degree of degradability of any organic material based on the kinetics of its hydrolysis in H2SO4 of the concentration 11.5 mol.l-1 at a temperature of 108 °C. The result and the measure of degradability degree are the rate constant of hydrolytic reaction and the carbon percentage of unhydrolyzable residue in total carbon of the sample

Verse and Genre: An Outline of Viktor Dyk’s Pre-War Works

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On the naturalness of Einstein's equation

We compute all 2-covariant tensors naturally constructed from a semiriemannian metric which are divergence-free and have weight greater than -2. As a consequence, it follows a characterization of the Einstein tensor as the only, up to a constant factor, 2-covariant tensor naturally constructed from a semiriemannian metric which is divergence-free and has weight 0 (i.e., is independent of the unit of scale). Since these two conditions are also satisfied by the energy-momentum tensor of a relativistic space-time, we discuss in detail how these theorems lead to the field equation of General Relativity.Comment: 12 pages, added references, corrected typo

Moduli spaces for finite-order jets of Riemannian metrics

We construct the moduli space of r-jets at a point of Riemannian metrics on a smooth manifold. The construction is closely related to the problem of classification of jet metrics via differential invariants. The moduli space is proved to be a differentiable space which admits a finite canonical stratification into smooth manifolds. A complete study on the stratification of moduli spaces is carried out for metrics in dimension n=2.Comment: 25 pages, corrected typos, partially changed content with an appendix adde