Rational Principles Research Articles

Pancake bouncing of nanodroplets impacting superhydrophobic surfaces

Superhydrophobic surfaces that promote rapid droplet detachment in a pattern of pancake bouncing are fundamentally interesting and important in substantial applications, such as self-cleaning, anti-corrosion, and anti-icing. However, the accurate modeling of the trigger conditions and the underlying dynamic mechanism for the pancake bouncing have yet to be completed. Here, using molecular dynamics simulations, the bouncing dynamics of impacting water nanodroplets on superhydrophobic Pt surfaces with nanopillar arrays are comprehensively studied considering a wide range in the impact Weber number, solid fraction (the pillar width w is kept constant), and pillar height. Correspondingly, the phase diagrams of the bouncing patterns are constructed in the parameter space of the Weber number against the solid fraction. It has been found that there are critical values of the solid fraction and pillar height to induce the pancake bouncing at the moderate Weber number. Furthermore, a theoretical model is developed and quantitatively proclaims the dependence of nanostructure features and the critical Weber number on the pancake bouncing. This work provides rational design principles for attaining a controllable pancake bouncing on structured superhydrophobic surfaces for a wide range of applications.

Acidic Hydrogen Evolution Electrocatalysis at High-Entropy Alloys Correlates with its Composition-Dependent Potential of Zero Charge.

The vast possibilities in the elemental combinations of high-entropy alloys (HEAs) make it essential to discover activity descriptors for establishing rational electrocatalyst design principles. Despite the increasing attention on the potential of zero charge (PZC) of hydrogen evolution reaction (HER) electrocatalyst, neither the PZC of HEAs nor the impact of the PZC on the HER activity at HEAs has been described. Here, we use scanning electrochemical cell microscopy (SECCM) to determine the PZC and the HER activities of various elemental compositions of a Pt-Pd-Ru-Ir-Ag thin-film HEA materials library (HEA-ML) with high statistical reliability. Interestingly, the PZC of Pt-Pd-Ru-Ir-Ag is linearly correlated with its composition-weighted average work function. The HER current density in acidic media positively correlates with the PZC, which can be explained by the preconcentration of H+ in the electrical double layer at potentials negative of the PZC.

Die Elektrokatalyse der Wasserstoffentwicklung im Sauren an Hochentropielegierungen korreliert mit dem von der Zusammensetzung abhängigen Nullladungspotential

AbstractAufgrund der enormen Variation möglicher Elementkombinationen von Hochentropielegierungen (HEAs) ist es von entscheidender Bedeutung, Aktivitätsdeskriptoren zu finden, um rationale Prinzipien für die Entwicklung von Elektrokatalysatoren zu entwickeln. Trotz der zunehmenden Beachtung des Nullladungspotentials (PZC) bei Elektrokatalysatoren für die Wasserstoffevolutionsreaktion (HER), wurden weder das PZC von HEAs noch die Auswirkungen des PZC auf die HER‐Aktivität bei HEAs beschrieben. Hier verwenden wir die rasterelektrochemische Zellmikroskopie (SECCM), um das PZC und die HER‐Aktivitäten verschiedener Elementzusammensetzungen einer Pt−Pd−Ru−Ir−Ag‐Dünnfilm‐HEA‐Materialbibliothek (HEA‐ML) mit hoher statistischer Zuverlässigkeit zu bestimmen. Interessanterweise ist das PZC von Pt−Pd−Ru−Ir−Ag linear mit seiner zusammensetzungsgewichteten durchschnittlichen Austrittsarbeit korreliert. Die HER‐Stromdichte in sauren Medien korreliert positiv mit dem PZC, was durch die Anreicherung von H+ in der elektrochemischen Doppelschicht bei negativen Potentialen relativ zum PZC erklärt werden kann.

Interface Engineering for Aqueous Aluminum Metal Batteries: Current Progresses and Future Prospects.

Aqueous aluminum metal batteries (AMBs) have attracted numerous attention because of the abundant reserves, low cost, high theoretical capacity, and high safety. Nevertheless, the poor thermodynamics stability of metallic Al anode in aqueous solution, which is caused by the self-corrosion, surface passivation, or hydrogen evolution reaction, dramatically limits the electrochemical performance and hampers the further development of AMBs. In this comprehensive review, the key scientific challenges of Al anode/electrolyte interface (AEI) are highlighted. A systematic overview is also provided about the recent progress on the rational interface engineering principles toward a relatively stable AEI. Finally, suggestions and perspectives for future research are offered on the optimization of Al anode and aqueous electrolytes to enable a stable and durable AEI, which may pave the way for developing high-performance AMBs.

Enlightenment as the normative principle of social rationality

This paper argues that Kant’s philosophy entails a normative concept of social rationality distinct from other normative concepts such as moral and juridical rationality. I also argue that the normative demands of social rationality are embodied in the regulative idea of enlightenment which implies a profound intersubjective and moral character that unfolds in multiple layers and perspectives.

Group 10 Metal Allyl Amidinates: A Family of Readily Accessible and Stable Molecular Precursors to Generate Supported Nanoparticles.

The synthesis of well-defined materials as model systems for catalysis and related fields is an important pillar in the understanding of catalytic processes at a molecular level. Various approaches employing organometallic precursors have been developed and established to make monodispersed supported nanoparticles, nanocrystals, and films. Using rational design principles, a new family of precursors based on group 10 metals suitable for the generation of small and monodispersed nanoparticles on metal oxides has been developed. Particle formation on SiO2 and Al2O3 supports is demonstrated, as well as the potential in the synthesis of bimetallic catalyst materials, exemplified by a PdGa/SiO2 system capable of hydrogenation of CO2 to methanol. In addition to surface organometallic chemistry (SOMC), it is envisioned that these precursors could also be employed in related applications, such as atomic layer deposition, due to their inherent volatility and relative thermal stability.

THE PROBLEM OF DEFINING THE WORLDVIEW PARADIGM OF GRIGORY SKOVORODA’S PHILOSOPHY (CRITICAL AND COMPARATIVE ANALYSIS)

The article attempts to define a worldview paradigm in the philosophy of H. Skovoroda. In historical and philosophical studies, there is a certain difference of opinion regarding the evaluation of the main provisions of the Ukrainian’s enlightener philosophy. Scientists emphasize the manifestations of pantheism, dualism, pluralism and mysticism in the work of H. Skovoroda. This is a palette of mutually exclusive definitions of the main philosophies of the thinker.The conducted critical analysis of the Skovoroda’s philosophical heritage allows us to reveal the deistic direction of his worldview positions. However, compared to the conceptual presentation of deism by the founder of the French Enlightenment of the 18th century, F. Walter, the philosophical deistic positions of H. Skovoroda have their own characteristics. The deistic tendencies of Walter’s worldview are based on the principles of rationalism. They permeate the foundations of his theoretical and practical philosophy. The Ukrainian enlightener’s principle of deism is based on manifestations of the highest divine wisdom. They include rational forms of existence and knowledge, spiritual and practical, moral foundations of human existence.

Eğitim Felsefesinde Özgürlük, Hoşgörü ve Kurtuluş Paradigması

The term freedom is a difficult term to discuss because it is often used by social scientists as well as political scientists. In each of these areas, the relationship with freedom presents a change. On the basis of thought, freedom is generally examined as a quality of the will. It is a matter of curiosity whether the issue of whether individuals have free will is determined by their actions as a whole. In everyday language, the majority has not given much thought to the factor behind the idea of tolerance, which is understood as leaving others to themselves and not interfering with others, freeing them in their decisions. Salvation involves not only the removal of restrictions on individuals and their personal development, but also the destruction of systems that seem completely encircling, subjugating and oppressive. While it represents past oppression and not being free in a conceptual sense, it offers the hope that the future person can be fully satisfied in a holistic way and in a full sense. For this reason, the concept of salvation is a concept that has a special meaning in a real sense. For this reason, many conservatives and some libertarians consider liberation policies and social structures dangerous with the concern that personal freedom will turn the principle of rationality and logicism into an intellectual and pragmatist doctrine. In this sense, Sartre, like other philosophers who have adopted the philosophy of existentialism, highlights human existentialism, that is, the fundamental problem of individual freedom, as the focus of philosophy. According to him, existence; it is not something that is determined, shaped and happening, it is deprived of the essence that will reveal itself. Existentialism, due to its fluid nature, will lose its unique nature when it tries to make sense, to be determined, to be determined, to become informational, conceptual and theoretical. According to Sartre, the existential understanding is an idea that is cut off from its origins, loses its foundations, loses its trust in the past and future, becomes alienated from society, is shaped by the existence of restless and unhappy people. This understanding occurs at the point where the individuals who substitute their lives in society are threatened, the relationship between tradition and the present Decays, the individual becomes meaningless, and experiences the danger of losing himself. In particular, the stalemates experienced after the great wars are the period when these exits taper off and become clearer. Key Words: Freedom, Tolerance, Liberation, Existentialism

Size-Dependent Locomotion Ability of Surface Microrollers on Physiologically Relevant Microtopographical Surfaces.

Controlled microrobotic navigation inside the body possesses significant potential for various biomedical engineering applications. Successful application requires considering imaging, control, and biocompatibility. Interaction with biological environments is also a crucial factor in ensuring safe application, but can also pose counterintuitive hydrodynamic barriers, limiting the use of microrobots. Surface rolling microrobots or surface microrollers is a robust microrobotic platform with significant potential for various applications; however, conventional spherical microrollers have limited locomotion ability over biological surfaces due to microtopography effects resulting from cell microtopography in the size range of 2-5µm. Here, the impact of the microtopography effect on spherical microrollers of different sizes (5, 10, 25, and 50µm) is investigated using computational fluid dynamics simulations and experiments. Simulations revealed that the microtopography effect becomes insignificant for increasing microroller sizes, such as 50µm. Moreover, it is demonstrated that 50µm microrollers exhibited smooth locomotion ability on in vitro cell layers and inside blood vessels of a chicken embryo model. These findings offer rational design principles for surface microrollers for their potential practical biomedical applications.

Controllable Thermochemical Generation of Active Defects in the Horizontal/Vertical MoS2 for Enhanced Hydrogen Evolution

AbstractAs for 2D transition metal dichalcogenides, the creation of proper active defects concentrations is considered as the efficient strategy for improving hydrogen evolution performance. However, the synthesis methods of large‐area MoS2 catalysts with controllable active defects are limited, also for its working mechanism. Herein, thermochemical generation of active defects for MoS2 catalysts has established by annealing sodium hypophosphite, in which the phosphine is spontaneously generated and chemically tailors the MoS2 lattice. The defects formation is confirmed by the investigation of slightly‐changed surface structure and unpaired electrons for the annealed samples. The hydrogen evolution reaction performances of horizontally/vertically grown MoS2 films are improved by controlling reaction conditions, indicating the active defects could form in the basal plane and edges with retained crystal structure. The overpotential of MoS2 samples converted from 10 nm Mo reduces from −520 to −265 mV with largely decreased Tafel slope. The electrochemical microreactor studies reveal the protons adsorption of active sites shows much more significant contribution, than interfacial charge transfer with the enhanced remarkable performance (−100 mV at 10 mA cm−2). This study presents the large‐area synthesized strategy for MoS2 based catalysts with controllable defects concentration and helps establish rational design principles for future MoS2 family electrocatalysts.

Гарри Поттер и экзистенциальный трансгуманизм в пространстве фанфикшен: жанровый эксперимент Э. Юдковского

The article considers the fanfiction novel by E. Yudkowsky “Harry Potter and the methods of rationality” from the point of view of various genre strategies. We analyze Yudkowsky’s text as an example of the realization of possibilities of the network space for popularization of transhumanism and principles of rationality by creating a didactic novel based on the J.K. Rowling’s literary universe. Also it is a postmodern novel based on the deconstruction of Rowling’s “canonical” text and key elements of the fantasy genre. Besides that, this text is a philosophical existentialist novel, which reflects the author’s worldview. Yudkowsky’s experiment with genres demonstrates the potential of fanfiction texts illustrating R. Barth’s concept of reader’s active role: the famous story written by J. Rowling gets new meanings in Yudkowsky’s interpretation. Deconstructing the logic of fantasy, the author realizes didactic tasks, teaches rationality to his readers and reflects on the ethics of action, making Harry Potter a superhero, whose principles are correlated with the ideas of J.-P. Sartre and F. Nietzsche. Yudkowsky’s project, aimed at the rehabilitation of rationality, finally makes a reader doubt it, because the rational mind turns to be capable of destruction.

Rationally irrational: When people do not correct their reasoning errors even if they could.

Why is it that sometimes people do not correct their reasoning errors? The dominating dual-process theories of reasoning detail how people (fail to) detect their reasoning errors but underspecify how people decide to correct these errors once they are detected. We have unpacked the motivational aspects of the correction process here, leveraging the research on cognitive control. Specifically, we argue that when people detect an error, they decide whether or not to correct it based on the overall expected value associated with the correction-combining perceived efficacy and the reward associated with the correction while considering the cost of effort. Using a modified two-response paradigm, participants solved cognitive reflection problems twice while we manipulated the factors defining the expected value associated with correction at the second stage. In five experiments (N = 5,908), we found that answer feedback and reward increased the probability of correction while cost decreased it, relative to the control groups. These cognitive control critical factors affected the decisions to correct reasoning errors (Experiments 2 and 3) and the corrective reasoning itself (Experiments 1, 4 and 5) across a range of problems, feedbacks, types of errors (reflective or intuitive), and cost and reward manipulations pre-tested and checked in five separate studies (N = 951). Thus, some people did not correct their epistemically irrational reasoning errors because they followed the instrumentally rational principle of the expected value maximization: They were rationally irrational. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

CISG에서 손해배상 예견가능성의 기준에 대한 연구

Purpose – This research aims to provide standards for the judgment of “foreseeability” in the general principle of compensation for damages in Art. 74 of CISG. Design/Methodology/Approach – This research analyzes the legal interpretation of CISG’s provisions related to damage (Art.74~Art.77) and related precedents. Findings – The results revealed the “principle of rationality” as a criterion for judging the “foreseeability” of Art.74 of CISG. Research Implications – From a practical point of view, it is difficult to predict the outcome of disputes in a situation where there is no standard for “foreseeability” as to the extent of damages from the point of view of the party liable under CISG. Therefore, it can be said that the appropriate criteria for “foreseeability” are essential. This paper presents the “principle of rationality” as a standard for. The rationality principles were extracted from the following three provisions of Art.74, namely Art.75~Art.77. These criteria are that the item of recoverable loss must be reasonable, and the amount of recoverable damage must be reasonable. This research is meaningful in presenting standards of damages to trade transaction practitioners.

Review of mineral resource management in a circular economy infrastructure

Purpose is to substantiate foundations of sustainable management of mineral resources while implementing a circular economy model. Methods. The study has applied following research approaches: synthetic method (unification of the singled out aspects); induction method (analysis of a circular economy features); life cycle assessment (evaluation of the product influence on the environment from the viewpoint of each stage of its life cycle); circular economy toolkit (determination and evaluation of the periodicity of circular economy products and indicators); and circular economy indicator prototype (evaluation of the cyclic product efficiency). Findings. Circular economy is one of the key directions of a sustainable development policy as for conservation and protection of mineral resources; it is aimed at more efficient use and improvement of raw material extraction from industrial waste. Formation of a market infrastructure of the circular economy has been proposed based upon mining sector waste use to process it and reduce as well as to repurpose wasteless production and secondary processing of raw materials. The need has been substantiated to contribute to conservation of mineral resources for their sustainable use on the basis of the development of market infrastructure of a stable economy and mining sector waste use to process it and reduce as well as to repurpose wasteless production and secondary processing of raw materials. Originality. A concept for further development of the circular economy market infrastructure has been specified as a platform of production waste supply/demand to optimize the use and conservation of mineral resources on the principles of sustainable growth. It has been proposed to analyze assessment of business development along the lines of a circular economy while calculating parameters when manufacturing is applying primary mineral resources and industrial waste as a raw material for its further processing. Practical implications. The proposed approach of interaction between economic entities on the basis of a circular economy will provide rational use of mineral resources and contribute to the development of a sector of industrial waste processing. The abovementioned will help terminate decrease in the availability of mineral resources and form new milestones of social development on the principles of environmental friendliness and rationalism in the process of interaction with nature.

The Influence of the Muslim Brotherhood on Teaching Islam in American Universities

The significance of the Muslim Brotherhood in American academia lies in the academic articulation of the brothers’ discourse as the expression of modern Islam in general. As such, the discourse of a specific political group is taken as the appropriate example of modern mainstream Islam. This treatment of the brothers’ discourse has resulted in an assumption that Islam, or at least modern Islam, is essentially political. It is not surprising, therefore, that one can easily find courses that teach “Islam and Politics,” or “Islam and Democracy,” which have no parallel in courses taught on other religions. What creates this distortion is not the mere political nature of the Brothers as an organization. It is the redefinition of Islam as has been presented by the brothers’ discourse since its foundation. There, Islam is presented as a differentiated structure that mirrors the differentiated structure of the secular state. Islam is presented as a comprehensive modern system that includes a number of complementary systems: political, economic, social, educational, health, etc. that work in harmony, guided by the rational principle of maṣlaḥah, public interest. The discourse of the Brothers defined the object of studies for American academia and set its research agenda. Not only has this presentation of Islam over politicized it, but it marginalized a plethora of significant traditional structures and concepts, as well as several modern responses that are not included in the brothers’ discourse. The overpoliticization of Islam and presenting it as nece­ssarily Islamism has become not just a problem of media misrep­resentation, but a crisis in the quality of knowledge about Islam that is produced and nurtured in academia. Moreover, this situation developed two unfortunate scholarships on modern Islam in Western academia that further distorted and blocked our knowledge on Islam: one is minor and Islamophobic, the other is major and Islamophilic. The Islamophobic approach sees Islam as inherently opposed to the modern structures of civil society, democracy, cultural diversity, and free market. The Islamophilic approach portrays Islamism—seen as the normative form of modern Islam, which is embraced by Muslim societies, as legitimate and popular native protest movement against non-democratic regimes. An exploration of John Esposito, whose scholarship has set the tone on Islam in academia for decades, and whose books have been widely adopted in courses taught in American universities will prove my argument.

Educational space as a historical and philosophical phenomenon: Theoretical and methodological foundations

Introduction. The article theoretically examines the genesis of specific features of such key pedagogical concepts and categories as ‘education’ and ‘educational space’ in the historical and philosophical context, adapted to the conditions of multi-vector social challenges of modern reality. Interest in the problem of the studied phenomena is determined by modern discussions around the current educational space, the specifics of its self-development in the historical and philosophical context of research in a rapidly and sometimes unpredictably changing social reality. The purpose of the article is a historical and philosophical analysis of the essence and existence of the educational space in the comparative context of sociocultural and cognitive characteristics of society. Materials and Methods. The methodological basis of the study was formed by historical-philosophical and systematic approaches. The authors used the principles of flexible rationality in building theoretical constructs of the phenomena ‘education’ and ‘educational space’. The methodological value of the study lies in the historical and philosophical analysis of the problems of the formation of educational space in Antiquity, the Middle Ages, the Enlightenment and the New Age, which makes it possible to navigate the variety of manifestations of the modern educational environment. Methods used by the authors include: comparative-historical, deductive, chronological, generalization and analysis. Results. The main results lie in the historical and philosophical analysis of the essence and existence of educational space and the disclosure of its specific characteristics in the comparative context of the socio-cultural characteristics of education, which allows to interpret the education itself as a unity of the process and result of the development and appropriation by the individual of general forms of interaction with the objects of reality and themselves that have been developed by the community and anchored in the culture. The study shows that the educational area of the Middle Ages absorbed a symphony of theological, philosophical and scientific knowledge in the true sense. During that time, scientific knowledge was pushed into the background compared to the knowledge of God and the soul. The authors established the idea that the evolving educational space, responding to the challenges of the time, determines the subject of education, i. e. in the womb of subject-subject and subject-object relationships. The authors highlight the relevant issues of the phenomenon of educational space as a complex, self-evolving system functioning as a significant sphere of social life. The educational space in the Age of Enlightenment begins to actively differentiate itself from layers of social spaces, as everyone realizes that through education, the process of deobjectification and objectification occurs in the human mind. One of the projections of modernity predictions is the transformation of education in postmodern society and the transition from the broadcasting and facilitating function of education to a mediating one. Conclusions. The authors have identified specific features of the genesis of the concepts of ‘space’, ‘education’, and ‘educational space’ in the comparative context of the historical and philosophical paradigm of the sociocultural characteristics of society and the role of education in it. The main content of the problem of the educational space as a societal phenomenon that is in a development and evolution situation together with society and the epoch is generalized. The position is justified that in the philosophical discourse, which is woven from people's cognitive actions and interpersonal communication, the educational space exhibits a developmental logic not only ontologically but also epistemologically, creating a unique phenomenon - educational environments in which its social criteria and meanings are formed and implemented. It was shown that the educational space reflects the structural coexistence and interaction of all possible educational systems, their components, educational events, for the existence of which the epoch is able to create conditions. It is noted that the educational space is an open system subject to dissipative processes, the emergence of new structures and the destruction of those that are energetically unable to maintain their existence.

Synergistic Dual-Mechanism Localized Heat Channeling and Spectrum-Tailored Liquid Metal Hydrogels for Efficient Solar Water Evaporation and Desalination.

Photothermal hydrogels featuring broadband light absorption abilities and highly hydrated networks provide an appealing mass-energy transfer platform for water evaporation by using solar energy. However, the targeted delivery of solar heat energy to power the water evaporation process remains challenging. Herein, enlightened by metal-phenolic coordination chemistry and camouflaged architecture, photothermal hydrogels with dual-mechanism vaporization structure are tactfully designed via a rational interfacial engineering and integration strategy to enable near-µm heat confinement and highly efficient light-to-heat conversion ability. The spectrum-tailored liquid metal droplet (LMGAs-FeIII ) and optimized carbon-wrapped silver nanowire sponge (Ag@C750 ) are integrally built as photothermal promotors/channels and jointly embedded into a highly hydratable poly(vinyl alcohol) hydrogel, denoted as PALGH,to synergisticallyboost watermolecule activation and interfacial vaporization behavior by triggering robust photothermal performance. As a result, under one sun irradiation, the all-embracing PALGH hydrogel evaporation system achieves a brine evaporation rate to a high level of 3.47kg m-2 h-1 , and >19 L m-2 clean water of PALGH is ideally delivered daily when purifying natural seawater. This work offers not only a rational design principle to create sophisticated photothermal materials but also replenishes insight into solar heat generation and water transportation in a cross-media system.

Effects of Film Confinement on Dielectric and Electrical Properties of Graphene Oxide and Reduced Graphene Oxide-Based Polymer Nanocomposites: Implications for Energy Storage

2D nanofillers such as graphene oxide (GO) and reduced GO (rGO)-based polymer nanocomposites have emerged as crucial materials for various applications, from flexible solid-state capacitors to electromagnetic interference (EMI) shielding devices. Specifically, the dielectric breakdown strength (EBD) and dielectric constant of polymer nanocomposite capacitors determine their ability to store energy, whereas frequency-dependent loss is crucial for EMI shielding applications. The miniaturization of energy storage and electronic devices demands a detailed understanding of the behavior of these polymer nanocomposites in the thin-film regime (micron to sub-micron thicknesses). In this work, we demonstrate the effect of confinement on the dielectric, electrical, and capacitive energy storage properties of the polyvinylidene fluoride (PVDF)–GO and PVDF–rGO films. We show that the dielectric permittivity is significantly impacted by the nanofiller confinement in thin (≈1 μm) PVDF polymer films, which is comparable to the lateral dimension of these 2D nanofillers. In thin PVDF–GO films, the nanofillers (and associated surface dipoles) become oriented quasi-parallel to the film interfaces, affecting the relative projected area to the applied electric field. The conductivity and loss tangent values increased as a function of frequency with reduced film thickness, which is beneficial to EMI shielding application. The EBD of the confined GO-based films was found to be relatively independent of the filler fraction, whereas rGO-based films increased with the filler fraction after an initial decrease. These results provide fundamental insights into rational design principles for using ultrathin GO and rGO-based polymer nanocomposite films in next-generation flexible electronic and energy storage devices.

Mass emissions of polycyclic aromatic hydrocarbons during fuel combustion in thermal power plant boilers

RELEVANCE of this study lies in the establishment of technological indicators of emissions of benz(a)pyrene into the atmosphere to assess the degree of negative impact of energy enterprises on the environment and the development on this basis of primary (air protection) measures, inventory of emissions ofpollutants, collection and preparation of initial environmental information for the effective implementation of the principles of technological regulation of emissions in the domestic thermal power industry. THE PURPOSE. The technological features of the formation of polycyclic aromatic hydrocarbons, in particular benz(a)pyrene, in the furnaces of power boilers burning organic fuel are considered. The regime factors significantly influencing the intensity of the formation of benz(a)pyrene as the most carcinogenic and mutagenic impurity influe gases have been determined. As part of the implementation of the principles of technological rationing of polluting marker substances, energy enterprises should determine the mass emission of highly toxic combustion products to improve the environmental performance of combustion processes and establish technological emission indicators. METHODS. Determination of mass emissions of polycyclic aromatic hydrocarbons was carried out using methods of mathematical statistics, processing of environmental information, system analysis of data and processing of the results obtained. RESULTS. Analytical expressions have been developed to determine the content of benz(a)pyrene in the combustion products of coal and anthracite. The values of mass emissions of benz(a)pyrene for inventory and justification of technological rationing of carcinogenic and mutagenic substances at energy enterprises have been determined. CONCLUSION. The results obtained are recommended to be used for a preliminary assessment of the content of benz(a)pyrene in the flue gases of boilers at power plants at the stage of collecting and preparing information for the introduction of technological rationing of highly toxic substances and the assessment of technological emission indicators.

Attention Constraints and Learning in Categories

Many decision makers are thought to economize on attention by processing information at the simpler level of a category. We directly test whether such category focus reflects an adaptive response to attention constraints, in five preregistered experiments using an information sampling paradigm with mouse tracking. Consistent with rational principles, participants focus more on category-level information when individual differences are small, when the category contains more members, and when time constraints are more severe. Participants are sensitive to the statistical structure of the category even when it must be learned from experience, and they respond to a latent shift in this structure. Beliefs about category members tend to cluster together more when category focus is high—a key element of rational inattention. However, this is counteracted by greater weight placed on salient and idiosyncratic information when the category is large. Our results broadly substantiate influential theories of categorical thinking, giving us a clearer view on the drivers and consequences of inattention. This paper was accepted by Marie Claire Villeval, behavioral economics and decision analysis. Funding: This work was supported by the Office of Naval Research (N00014-21-1-2170), the Pershing Square Fund for Research on the Foundations of Human Behavior, and an NWO Vidi grant (VI.Vidi.201.059). Supplemental Material: The data files and online appendix are available at https://doi.org/10.1287/mnsc.2023.4803 .