Formal Regularities Research Articles

Sundman theorem revisited

In this paper, we revisit Sundman’s Theorem on the three-body problem. We provide a simple example demonstrating that the requirement on the total angular momentum L (bounded away from zero) can be relaxed for a particular set of initial conditions, allowing double shocks. We present an explicit solution for the exact triple-collision scenario through a Sundman-like formal regularization.

Kinetics of Thermal Decomposition of N-Propargil Derivatives of 7<i>H</i>-Difurazanofuxanoazepine and 7<i>H</i>-Trifurasanoazepine

The thermal stability of the propargyl derivatives of 7H-difurazanofuroxanoazepine and 7H-trifurazanoazepine in isothermal and non-isothermal modes has been studied. Formal kinetic regularities of decomposition and temperature dependences of reaction rate constants are determined. The thermal stability of propargyl, cyanomethyl, allyl and amine derivatives of azepines is compared.

Formal kinetics of catalytic oxidation of diesel paraffin-naphthenic fraction in the presence of carbon nanotubes containing Co, Mn and Fe

This study identified the formal kinetics of aerobic oxidation of the paraffin-naphthenic fraction of diesel fuel in the presence of multi-walled carbon nanotubes (MWCNTs) containing three transition metals—Fe, Co, and Mn. The synthesis of metal-containing multi-walled carbon nanotubes (M@MWCNTs) was carried out by pyrolysis of cyclohexane in the presence of ferrocene (CVD synthesis), followed by sequential doping of the resulting iron-containing carbon nanotubes Fe@MWCNTs with Co and Mn clusters. The resulting Fe–Co–Mn@MWCNT samples were identified using electron microscopy (SEM, TEM) and elemental analysis. The resulting carbon nanotubes were found to have a diameter of 30–60 nm and length of 500–800 μm. Iron clusters were observed to be present within the channels, while Co and Mn particles were observed to be present in the outer space of the nanotubes. The formal kinetic regularities of the dearomatized diesel fraction aerobic oxidation promoted by M@MWCNT additives were studied. It has been demonstrated that metal-nanocarbon additives effectively catalyze the oxidation process in the absence of hydroperoxides, resulting in thermal decomposition. The introduction of Co and Mn clusters into the nanotube structure has been observed to enhance catalytic activity. A catalytic oxidation scheme is currently under consideration, with corresponding effective oxidation rates being determined. It is postulated that these findings may prove useful in the estimation of effective nano-catalytic systems for the oxidative conversion of multicomponent hydrocarbon feedstocks.

Through the compression glass: language complexity and the linguistic structure of compressed strings

Abstract Against the backdrop of the sociolinguistic-typological complexity debate which is all about measuring, comparing and explaining language complexity, this article investigates how Kolmogorov-based information theoretic complexity relates to linguistic structures. Specifically, the linguistic structure of text which has been compressed with the text compression algorithm gzip will be analysed. One implementation of Kolmogorov-based language complexity is the compression technique (Ehret, Katharina. 2021. An information-theoretic view on language complexity and register variation: Compressing naturalistic corpus data. Corpus Linguistics and Linguistic Theory (2). 383–410) which employs gzip to measure language complexity in naturalistic text samples. In order to determine what type of structures compression algorithms like gzip capture, and how these compressed strings relate to linguistically meaningful structures, gzip’s lexicon output is retrieved and subjected to an in-depth analysis. As a case study, the compression technique is applied to the English version of Lewis Carroll’s Alice’s Adventures in Wonderland and its lexicon output is extracted. The results show that gzip-like algorithms sometimes capture linguistically meaningful structures which coincide, for instance, with lexical words or suffixes. However, many compressed sequences are linguistically unintelligible or simply do not coincide with any linguistically meaningful structures. Compression algorithms like gzip thus crucially capture purely formal structural regularities. As a consequence, information theoretic complexity, in this context, is a linguistically agnostic, purely structural measure of regularity and redundancy in texts.

Catalytic activity of iron-containing carbon nanotubes in the oxidation reaction of the diesel fuel fraction

Liquid-phase aerobic oxidation of petroleum hydrocarbons catalyzed by carbon nanoparticles is focused on the real practical implementation over the rational processing of multicomponent petroleum feedstock. The use of metal-containing carbon nanostructures as catalysts allows known oxidation processes to be considered in the most modern strapping and simultaneously raises related questions about kinetics and mechanism of the process. This paper describes the formal kinetic regularities of the liquid-phase aerobic oxidation of the diesel fuel paraffin-naphthenic fraction in the presence of iron-containing multiwalled carbon nanotubes Fe@MWCNT. The purpose of the work is to determine the activity of the catalyst and the mechanism of its action. The reaction was carried out at 80°C, at which thermal decomposition of hydroperoxides is known to be almost non-existent and the reaction does not initiate. The induction period, the profile of the kinetic curves, and the oxygen uptake rate were taken as criteria for catalyst activity. As a result, it was shown that Fe@MWCNT additives have a significant ability to increase the rate of aerobic oxidation of diesel fractions. A general scheme of catalytic oxidation of hydrocarbons of the petroleum fraction in which the catalyst on a nanocarbon carrier reduces the dissociation energy of the C-H bond and activates the decomposition of hydroperoxides into active reactive particles has been proposed. Keywords: metal-containing carbon nanotubes; petroleum hydrocarbons; diesel fuel; paraffin-naphthenic fraction; oxidation induction period; catalytic hydroperoxide decomposition; oxygen uptake rate.

Dynamic Versus Quasi-Static Analysis of Crack Propagation in Soft Materials

Abstract Cracks usually propagate dynamically that makes them so dangerous. However, most crack simulations are based on quasi-static analyses because they are simpler than the dynamic ones. Is it correct to use quasi-static analyses instead of the dynamic ones? Will the quasi-static and dynamic simulations provide similar results? We try to answer these questions in the present work. We compare results of quasi-static and dynamic simulations of crack propagation in aneurysm material. We use the material-sink (MS) approach, which is based on the notion of the diffused bond breakage. The latter feature implies a local loss of material and, consequently, decrease of mass density, which, in its turn, means that both stiffness and inertia go down in the damaged zone. The cancellation of inertia is an important feature of the MS approach in contrast to more formal regularization theories as phase field, gradient damage, and other nonlocal formulations. The MS approach is implemented within commercial finite-element software abaqus. A reduced mixed finite-element formulation is adopted to circumvent the volumetric locking and an implicit staggered solution algorithm is developed via the user-defined element subroutine UEL. Considered examples show that the onset of crack instability under static loads is followed by the dynamic rather than quasi-static crack propagation. Moreover, dynamic and quasi-static simulations, generally, provide different results.

Abordagem formal e multimodal da notícia como gênero, estrutura e metalinguagem em contextos de mídia social e digital. O exemplo do Twitter

ABSTRACT The goal of this paper is to improve heuristics for hard news discourse by proposing a cognitive model of abstraction, regarding social media contexts. To this end, hard news is discussed as a genre, structure and metalanguage, under the formal definition of a semiotic mode. Annotation is a successful technology to control the effects of genre operations, reveal relations, and to inquire about data and documents. It proceeds to characterize Twitter’s interface, in terms of formal and material regularities, employed recursively. It further demonstrates the formalization of a semantics for hard news discourse in the so-called logical forms, which has been adapted from analytical tools developed by the Segmented Theory of Discourse Representation (SDRT) in order to examine coherence in different levels of detail. Finally, the implication of this approach as a discipline is discussed, regarding the production of transversal knowledge aiming at digital literacy, which urges in present times.1

Areal script form patterns with Chinese characteristics

AbstractIt has often been claimed that writing systems have formal grammars structurally analogous to those of spoken and signed phonology. This paper demonstrates one consequence of this analogy for Chinese script and the writing systems that it has influenced: as with phonology, areal script patterns include the borrowing of formal regularities, not just of formal elements or interpretive functions. Whether particular formal Chinese script regularities were borrowed, modified, or ignored also turns out not to depend on functional typology (in morphemic/syllabic Tangut script, moraic Japanese katakana, and featural/phonemic/syllabic Korean hangul) but on the benefits of making the borrowing system visually distinct from Chinese, the relative productivity of the regularities within Chinese character grammar, and the level at which the borrowing takes place.

Modeling of the intercivilization fault effect on the conflict intensity throughout the world

Using the mathematical apparatus of the multifactor regression analysis, the concept of faults between civilizations is verified, formalized and refined. The ethnocultural civilizational distribution of the countries is specified on the basis of the fuzzy cluster method. The mathematical model of fault lines between civilizations is elaborated, which affords the opportunity to estimate and analyze the quantitative values of these faults. Formally, the developed model offers the way to determine evolutionary regularities, systematize and econometrically verify the defining characteristics of actual civilizational clashes. The results of an analysis and comparison of modeling data of intercivilizational faults in 2008 and 2018 revealed the tendencies of individual civilizations to unite and clash, and the effect of these faults on the global conflict as well. The dependence of global threats on the proliferation of weapons and their individual components is assessed. The conflict effect on the socio-economic indicators of clashing civilizations is determined. The correspondence of the modeling outcomes to the real state of intercivilizational faults is verified by comparison with actual historical data. The results of the study encourage to form a comprehensive vision of the nature of modern clashes, whose emergence is caused by the faults between civilizations, and to determine their formal characteristics and regularities of their course.

Photochemical study of interaction of chromium (III) with EDTA reaction kinetics: a chemical kinetics laboratory experiment

Abstract: The kinetics of the complex ion of chromium (III) with EDTA formation reaction in a water solution was studied. The possibility of simultaneous determination of partial reaction orders with respect to all reactants was shown. The influence of temperature and hydrocarbonate-ions as a catalyst on the reaction rate was studied. It was shown that this reaction is very suitable for the experimental demonstration of formal kinetics regularities and can be used in a university laboratory practice course. The methodical instructions for students were developed.

Mezzo: An Adaptive, Real-Time Composition Program for Game Soundtracks

Mezzo is a computer program designed that procedurally writes Romantic-Era style music in real-time to accompany computer games. Leitmotivs are associated with game characters and elements, and mapped into various musical forms. These forms are distinguished by different amounts of harmonic tension and formal regularity, which lets them musically convey various states of markedness which correspond to states in the game story. Because the program is not currently attached to any game or game engine, “virtual” gameplays were been used to explore the capabilities of the program; that is, videos of various game traces were used as proxy examples. For each game trace, Leitmotivs were input to be associated with characters and game elements, and a set of ‘cues’ was written, consisting of a set of time points at which a new set of game data would be passed to Mezzo to reflect the action of the game trace. Examples of music composed for one such game trace, a scene from Red Dead Redemption, are given to illustrate the various ways the program maps Leitmotivs into different levels of musical markedness that correspond with the game state.

Eternal rest, perpetual light and the Last Judgement: Antoine Brumel’s Dies irae in the early Requiem tradition

Abstract Antoine Brumel’s Missa pro defunctis is one of the earliest polyphonic Requiem settings, and the first by several decades to include the sequence, Dies irae. Whereas most chants in the Mass for the Dead were set c.1500 to the low-pitched, highly consonant polyphony that denoted mourning and penitence at the time, the Dies irae is a musical portrayal of the Last Judgement that might seem to demand more vivid polyphonic treatment. And yet Brumel’s setting, a grand alternatim movement, responds more to the formal regularity of the chant than to its text, which describes a terrifying scene much like what is seen in contemporaneous visual depictions of the Last Judgement. Indeed, Brumel’s most striking rhetorical moment comes not in the frightening early verses of the sequence but in its concluding plea to Christ that the dead be granted peace. Analysis of Brumel’s Dies irae in the context of his Missa pro defunctis, therefore, shows that early Requiem compositions, even at their most terrifying, serve first and foremost as functional pleas to God that the deceased be granted eternal rest and perpetual light.

Local grammars and diachronic speech act analysis

AbstractThis paper proposes a method that is designed to facilitate diachronic speech act analysis. The proposed method draws on the corpus linguistic concept of local grammar – an approach which seeks to account for, not the whole of a language, but one meaning or function only. Local grammar descriptions capture both formal and semantic regularities of speech act realisations, and local grammars offer a more reliable way to quantify speech act realisations across time. It is particularly in this respect that it is argued that a local grammar approach can be useful for diachronic speech act studies, which is demonstrated subsequently by tracing one particular speech act, namely “apology”, in a sample of the Corpus of Historical American English (coha).

САМООЧИЩЕННЯ ПІДЗЕМНИХ ВОД ВІД 90SR НА ФОНОВИХ ДІЛЯНКАХ ТА ПРИ ШТУЧНОМУ ЗАБРУДНЕННІ

The main idea of the presented results is the determination of spatial-temporal regularities of 90Sr content in groundwaters within Chornobyl Exclusion Zone. Utilization of formal kinetic regularities (of I order for irreversible process) for monitoring data analyses has been substantiated. Rate constants of groundwater self-clearing from 90Sr in dependence of type of contamination are calculated by iteration method. Graphic interpretation of data has been realized using package for analysis of Microsoft Excel and Statistica software. Self-clearing of groundwaters is carried out owing to three main processes: sorption as function of water containing medium dispercity, dispersion due to water exchange, concentration dilution (dissolving) of radionuclides in specified volume, and physical decay. considered Self-clearing is considered to be an important element both for the security and vulnerability of groundwaters. Data on 90Sr content in groundwater of background areas, in affected zone of radioactive waste storage, zone of groundwater nutrition from cooling pond of Chornobyl NPP, spots of primarily radioactive contamination, and of groundwater secondary contamination owing to well drilling are discussed. Rate constants for groundwater self-clearing from 90Sr are calculated from experimental data both for non-stationary (rapid) and stationary (slow) processes. The “half-decontamination” period (in analogy to half-life) is less than 0.5 year. The rate constant for unstable process two times, and for established one time exceeds the decay constant. The rates of groundwater self-clearing from strontium-90 owing to water exchange and geochemically immobilization are determined. The equilibrium of sorption-desorption within water saturated zone is generally depended on the rate of water exchange and radionuclides concentration in upper stream, i.e. from concentration gradient.

The Examination of the Executing Authority on the European Arrest Warrant

Considering the European Arrest Warrant for the transfer of catalan separatist politicians, an issue that had remained rather unstudied until now has actually been raised: the extension of the examination of the executing judge. Some authors think that the transfer should be automatic. In this paper, it is argued that the examination should be superficial, but not as light as to allow an automatic transfer. The executing judge must at least verify the formal regularity of the order, as well as ensure that the facts correspond to the criminal category indicated by the issuing judge. Finally, the executing judge must superficially verify if the facts, as reported by the requesting judge, are not clearly false.

Regularization of derivatives on non-differentiable points

The notion of derivative is limited only to the idealization of linear growth. The paper presents a formal regularization procedure for the derivatives of functions using the fractional velocity, i.e. a local fractional derivation operation. The approach can be applied in strongly non-linear or fractal settings, such as singular functions, Brownian motion, quantum paths, etc.

Representation of Maximally Regular Textures in Human Visual Cortex.

Naturalistic textures with an intermediate degree of statistical regularity can capture key structural features of natural images (Freeman and Simoncelli, 2011). V2 and later visual areas are sensitive to these features, while primary visual cortex is not (Freeman et al., 2013). Here we expand on this work by investigating a class of textures that have maximal formal regularity, the 17 crystallographic wallpaper groups (Fedorov, 1891). We used texture stimuli from four of the groups that differ in the maximum order of rotation symmetry they contain, and measured neural responses in human participants using functional MRI and high-density EEG. We found that cortical area V3 has a parametric representation of the rotation symmetries in the textures that is not present in either V1 or V2, the first discovery of a stimulus property that differentiates processing in V3 from that of lower-level areas. Parametric responses were also seen in higher-order ventral stream areas V4, VO1, and lateral occipital complex (LOC), but not in dorsal stream areas. The parametric response pattern was replicated in the EEG data, and source localization indicated that responses in V3 and V4 lead responses in LOC, which is consistent with a feedforward mechanism. Finally, we presented our stimuli to four well developed feedforward models and found that none of them were able to account for our results. Our results highlight structural regularity as an important stimulus dimension for distinguishing the early stages of visual processing, and suggest a previously unrecognized role for V3 in the visual form-processing hierarchy. Significance statement: Hierarchical processing is a fundamental organizing principle in visual neuroscience, with each successive processing stage being sensitive to increasingly complex stimulus properties. Here, we probe the encoding hierarchy in human visual cortex using a class of visual textures--wallpaper patterns--that are maximally regular. Through a combination of fMRI and EEG source imaging, we find specific responses to texture regularity that depend parametrically on the maximum order of rotation symmetry in the textures. These parametric responses are seen in several areas of the ventral visual processing stream, as well as in area V3, but not in V1 or V2. This is the first demonstration of a stimulus property that differentiates processing in V3 from that of lower-level visual areas.

Euphony in the Septuagint : Genesis 49 and Exodus 15 as Study Cases

This article takes a closer look at some poetic passages in the Septuagint in order to determine if a certain quest for more formal regularity could have influenced translator’s choices. This factor has been usually neglected so far because the Septuagint itself was not regarded as a literary text that can make an aesthetic impact on the reader. Anyway, the study demonstrates that at times translational anomalies can be explained, alongside with other reasons, by translator’s intention to produce more alliterations and assonances and more rhythmic regularities than a standard equivalent would. Still, this research demands a rather balanced methodology so that meaningful solutions can be distinguished from mere coincidences. So the methodology is discussed here in detail. Another aspect which is considered in this study is the role played by the Septuagint in the history of Greek literature. One may ask if some Septuagint texts influenced to a certain degree the future rise of the Byzantine rhythmic poetry, and the present study gives a cautious approval to this hypothesis.

Instantaneous energy and enstrophy variations in Euler-alpha point vortices via triple collapse

AbstractIt has been pointed out that the anomalous enstrophy dissipation in non-smooth weak solutions of the two-dimensional Euler equations has a clue to the emergence of the inertial range in the energy density spectrum of two-dimensional turbulence corresponding to the enstrophy cascade as the viscosity coefficient tends to zero. However, it is uncertain how non-smooth weak solutions can dissipate the enstrophy. In the present paper, we construct a weak solution of the two-dimensional Euler equations from that of the Euler-$\ensuremath{\alpha} $ equations proposed by Holm, Marsden & Ratiu (Phys. Rev. Lett., vol. 80, 1998, pp. 4173–4176) by taking the limit of $\ensuremath{\alpha} \ensuremath{\rightarrow} 0$. To accomplish this task, we introduce the $\ensuremath{\alpha} $-point-vortex ($\ensuremath{\alpha} \mathrm{PV} $) system, whose evolution corresponds to a unique global weak solution of the two-dimensional Euler-$\ensuremath{\alpha} $ equations in the sense of distributions (Oliver & Shkoller, Commun. Part. Diff. Equ., vol. 26, 2001, pp. 295–314). Since the $\ensuremath{\alpha} \mathrm{PV} $ system is a formal regularization of the point-vortex system and it is known that, under a certain special condition, three point vortices collapse self-similarly in finite time (Kimura, J. Phys. Soc. Japan, vol. 56, 1987, pp. 2024–2030), we expect that the evolution of three $\ensuremath{\alpha} $-point vortices for the same condition converges to a singular weak solution of the Euler-$\ensuremath{\alpha} $ equations that is close to the triple collapse as $\ensuremath{\alpha} \ensuremath{\rightarrow} 0$, which is examined in the paper. As a result, we find that the three $\ensuremath{\alpha} $-point vortices collapse to a point and then expand to infinity self-similarly beyond the critical time in the limit. We also show that the Hamiltonian energy and a kinematic energy acquire a finite jump discontinuity at the critical time, but the energy dissipation rate converges to zero in the sense of distributions. On the other hand, an enstrophy variation converges to the $\delta $ measure with a negative mass, which indicates that the enstrophy dissipates in the distributional sense via the self-similar triple collapse. Moreover, even if the special condition is perturbed, we can confirm numerically the convergence to the singular self-similar evolution with the enstrophy dissipation. This indicates that the self-similar triple collapse is a robust mechanism of the anomalous enstrophy dissipation in the sense that it is observed for a certain range of the parameter region.

Oxidation of magnesium with carbon tetrachloride in aprotic solvents

Formal kinetic regularities and the end products of oxidation of magnesium with carbon tetrachloride in the environment of dipolar aprotic solvents were revealed. The effective equilibrium constant, enthalpy and entropy of adsorption of carbon tetrachloride and N,N-dimethylformamide at a metal surface, the rate constant and activation energy of the investigated reaction were determined. The effect of temperature on the dependence of the process on the donor properties of the used coordinating solvents was established and justified. A probable scheme of the process was suggested.