Transitive Action Research Articles

Special homogeneous surfaces

Abstract We classify hyperbolic polynomials in two real variables that admit a transitive action on some component of their hyperbolic level sets. Such surfaces are called special homogeneous surfaces, and they are equipped with a natural Riemannian metric obtained by restricting the negative Hessian of their defining polynomial. Independent of the degree of the polynomials, there exist a finite number of special homogeneous surfaces. They are either flat, or have constant negative curvature.

Selected Aspects of Understanding Culture in the Light of Karol Wojtyła Conception of Subjectivity

The purpose of this article is to present the essence of culture in the view of Karol Wojtyła in relation to his conception of the subjectivity of human person. Culture, as a specific way of human existence and being, is confirmed through the analysis of the problem of subjectivity which it is created through actions as the proper activity of the human person. In the light of the conception of subjectivity, Wojtyła brings to light his notion of the constitution of culture of human work in relation to the transitive actions and human culture or culture of person in relation to the intransitive actions. In this notion, he accentuates the subject and goal of culture that is the human person himself.

Finite simple permutation groups acting with fixity 4

Abstract Motivated by the theory of Riemann surfaces and specifically the significance of Weierstrass points, we classify all finite simple groups that have a faithful transitive action with fixity 4. We also give details about all possible such actions.

Syntactic flexibility and lexical encoding in aging sentence production: an eye tracking study.

Successful sentence production requires lexical encoding and ordering them into a correct syntactic structure. It remains unclear how different processes involved in sentence production are affected by healthy aging. We investigated (a) if and how aging affects lexical encoding and syntactic formulation during sentence production, using auditory lexical priming and eye tracking-while-speaking paradigms and (b) if and how verbal working memory contributes to age-related changes in sentence production. Twenty older and 20 younger adults described transitive and dative action pictures following auditory lexical primes, by which the relative ease of encoding the agent or theme nouns (for transitive pictures) and the theme and goal nouns (for dative pictures) was manipulated. The effects of lexical priming on off-line syntactic production and real-time eye fixations to the primed character were measured. In offline production, older adults showed comparable priming effects to younger adults, using the syntactic structure that allows earlier mention of the primed lexical item in both transitive and dative sentences. However, older adults showed longer lexical priming effects on eye fixations to the primed character during the early stages of sentence planning. Preliminary analysis indicated that reduced verbal working memory may in part account for longer lexical encoding, particularly for older adults. These findings indicate that syntactic flexibility for formulating different grammatical structures remains largely robust with aging. However, lexical encoding processes are more susceptible to age-related changes, possibly due to changes in verbal working memory.

Using Transition Action Details (TAD) Strategy to Improve Writing Skills of Grade Ten Students of SMA Negeri 7 Palu

Using Transition Action Details (TAD) Strategy to Improve Writing Skills of Grade Ten Students of SMA Negeri 7 Palu

Evidence of half metal to insulator transition and subsequent photocatalytic action in g-C4N3@Lin =1 to 4: A systematic theoretical analysis

We report herein, emergence of photocatalytic action in Li doped two-dimensional nanosheet of graphitic carbon nitride [g-C4N3@Lin = 0-4]. Doping concentration varied from 3.57 % to 14.28 %. Pristine graphitic carbon nitride is half metallic and at the highest level of doping (14.28 %) it transforms into an insulating system. Observed results have been examined through the estimation of coupling between magnetic centers and the overall magnetic moment of the system. The exchange coupling (JAB) within Heisenberg–Dirac–van Vleck Hamiltonian being negative indicates antiferromagnetic coupling in presence of Li, doping. Related optical spectrum quite clearly illustrates that only at the doping level [14.28 %] the absorption peak is in the optical region. Band structure obtained illustrates a band gap of 1.92 eV and 1.93 eV in both spin channels and both oxidation and reduction potential falls within the band gap. The presence of reduction potential below the conduction band and oxidation potential above the valence band clearly illustrates the possibility of photocatalytic action.

Totally deranged elements of almost simple groups and invariable generating sets

AbstractBy a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups. In this paper, we show that an almost simple group can have an element that is a derangement in every faithful primitive action, and we call these elements totally deranged. In fact, we classify the totally deranged elements of all almost simple groups, showing that an almost simple group contains a totally deranged element only if the socle of is or with . Using this, we classify the invariable generating sets of a finite simple group of the form where and , answering a question of Garzoni. As a final application, we classify the elements of almost simple groups that are contained in a unique maximal subgroup in the case where is not core‐free, which complements the recent work of Guralnick and Tracey addressing the case where is core‐free.

Celebrating International Year of Millet 2023: Analysing Sustainable Food Security in India Since Independence to the Amrit Kaal from the Lens of Millets

While the world is grappling with adversities caused by climate change, the agricultural sector has been the hardest hit, posing a new set of challenges for food security. As the developing world is still struggling with rampant poverty and malnutrition, an alternative framework that could promote climate-resilient and water-saving agriculture emerges as an exigency. In this context, climate-resilient crops like millets acquire the greatest significance as they are not only sustainable and low on climate-critical resources like water but also add to the diversity of the nutritional basket of farmers in rain-fed regions. In this light, the adoption of the India-sponsored resolution declaring 2023 as the International Year of Millets by the United Nations General Assembly is extremely crucial and needs to be analysed with reference to its potentiality to ensure sustainable food security in India in sync with UN Sustainable Development Goals on Poverty and Food Security. Given the potential of millets, this article aims to analyse innovative and sustainable pathways to agriculture from Indian Independence to Amrit Kaal, in alignment with goals of productivity enhancement, energy transition and climate action of the Government of India. It examines the policies and programmes of the government implemented to achieve the goal of Viksit Bharat (Developed India) during the Amrit Kaal.

Infinitely many Riemann surfaces with a transitive action on the Weierstrass points

AbstractIn this short note, we prove the existence of infinitely many pairwise nonisomorphic, non‐hyperelliptic Riemann surfaces with automorphism group acting transitively on the Weierstrass points. We also find all compact Riemann surfaces with automorphism group acting transitively on the Weierstrass points, under the assumption that they are simple.

Spreading primitive groups of diagonal type do not exist

The synchronization hierarchy of finite permutation groups consists of classes of groups lying between $2$ -transitive groups and primitive groups. This includes the class of spreading groups, which are defined in terms of sets and multisets of permuted points, and which are known to be primitive of almost simple, affine or diagonal type. In this paper, we prove that in fact no spreading group of diagonal type exists. As part of our proof, we show that all non-abelian finite simple groups, other than six sporadic groups, have a transitive action in which a proper normal subgroup of a point stabilizer is supplemented by all corresponding two-point stabilizers.

Progressive collapse resistance of local prestressed concrete sub-structures: Numerical analysis and theoretical verification

The local prestressed concrete (LPC) structure is a structural form that combines the prestressed concrete (PC) span with the common reinforced concrete (RC) span, with significant asymmetry. Currently, there is insufficient research on the progressive collapse resistance of LPC structures. To investigate the progressive collapse mechanism of LPC structures, a parametric analysis was conducted by using the finite element software OpenSEES. Based on the failure mode of LPC structures, the proposed method predicted the limit state by considering displacement coordination, force equilibrium, and the influence of the plastic hinge regions. The research showed that LPC structures exhibited a distinct transition action stage (TAS) between the compressive arch action stage (CAAS) and catenary action stage (CAS), which distinguished them from the symmetrical structures. Increasing the strand area could significantly improve the catenary action (CA) of the LPC structure and extend the TAS. Lengthening the PC part also improved CA and allowed the structure to progress into TAS and CAS earlier. By increasing the length of the RC part, the compressive arch action (CAA) could be strengthened, while the duration of CAAS was extended. The theoretical prediction method proposed in this study can effectively predict the ultimate displacement and ultimate resistance of LPC structures.

On decompositions and transitive actions of nilpotent Lie groups

The article considers decompositions of nilpotent Lie algebras and nilpotent Lie groups, and connections between them. Also, descriptions of irreducible transitive actions of nilpotent Lie groups on the plane and on three-dimensional space are given.

Dynamics of energy transition and climate actions on sustainable cities: A cross country comparison of East Asia and Pacific

AbstractMassive energy consumption and poor regulatory framework in urban areas have created environmental slums and are a serious threat to sustainability. East Asian and Pacific economies are vulnerable to climate crises and striving for sustainability by transition to green energy and taking climate initiatives. In the past, no study has explored the effectiveness of energy transitions and climate actions in the context of East Asia and Pacific. To understand the effectiveness of these efforts, this study has been planned and executed to examine the impact of energy transition and climate actions, along with emissions from residential and commercial buildings, per capita income, and effective governance, on sustainable cities and communities in East Asia and the Pacific region. The study utilizes panel data of six high‐income countries and 11 lower‐middle and upper‐middle income countries from 2000 to 2022 for comparative empirical analysis. Empirical analysis is performed using truncated regression due to the nature of the data. The study found that energy transition, climate actions, and governance effectiveness increase the sustainability of cities and communities. However, emissions from residential buildings and per capita income adversely affect the sustainability of cities and communities. Furthermore, the dynamics of energy transition and climate change vary according to the income classifications of East Asian and Pacific countries. Energy transition and emissions showed a higher impact in HICs, while climate actions were more resilient in lower‐middle and upper‐middle income countries. These findings emphasize the transition to clean and green energy, prompt climate policy actions, and effective governance to ensure sustainability in East Asian and Pacific cities and communities.

Entschlüsselung der Komplexität von Übergängen im Fußball: ein umfassender narrativer Überblick

Abstract Background Transitions in football are pivotal moments in the game, carrying significant tactical and strategic implications. Despite the lack of a consensus on the exact definition and duration of transitions, their importance is evident in the analysis of football matches. Clear connections exist between performance indicators, team play styles, and specific game moments. The evolution of game analysis, facilitated by technology employing spatial, optical, and motion sensors, has heightened the recognition of transition actions. Methods This narrative review synthesizes perspectives on transitions from various authors and investigates how these perspectives have evolved over time. By utilizing real-time analysis through advanced technology, the review aims to offer a comprehensive understanding of transitions in football. Results Counterattacks are identified as a key outcome emerging from transitions, affirming existing literature suggesting that each transition prompts a response from the opposing team. The review underscores the need to objectively define the dichotomy of transitions in terms of the moment of play and style of play, mitigating overlap and confusion. Conclusion Transitions are complex phenomena occurring independently of ball possession. Understanding their classification, determinants, and outcomes is crucial for optimizing team performance. By shedding light on the multifaceted nature of transitions, this review contributes to a more nuanced comprehension of this critical aspect of football strategy.

On Decompositions and Transitive Actions of Nilpotent Lie Groups

On Decompositions and Transitive Actions of Nilpotent Lie Groups

Influence of Brazilian Jiu-Jitsu Belt Graduations on the Performance of Elite Female Combat Athletes

Abstract Introduction. In Brazilian Jiu-jitsu (BJJ), match durations are determined by belt rank according to the rules. However, a detailed understanding of the dynamics in female matches across belt levels is lacking. Gaining this insight could refine training, better meeting the needs of female athletes at each progression stage. Therefore, this study aims to conduct a comparative time-motion analysis of combat phases among elite female practitioners across different belt ranks. Material and Methods. The sample was composed of White (n = 60), Blue (n = 150), Purple (n = 108), Brown (n = 56), and Black (n = 48) belts. All combats were analyzed using a BJJ time-motion protocol according to the sequential actions of the combats (i.e., approach, gripping, attack, defense, transition, guard, mount, side control, low-intensity movements, and total time), p ≤ 0.05. Results. The main results indicated longer time in the black belt division vs. white and blue belts in low-intensity movements [170(63;311.6) s vs. 75.1(39.7; 201.9)s, and 93.1 (34.2; 168.7)s], defensive actions [31(10.2;76.6)s vs. 12.2(50.5; 22.4)s, and 22.4(11; 49.4)s], and approach actions [9.1(5.5;23.3)s vs. 5.2(2.5; 9.9)s, and 4.8(1; 12)s], respectively. Conclusions. No effects were observed in combat-determining domain actions such as gripping, transition actions, side control, and mount, even with differences in the rules, suggesting a progressive reduction in intensity accompanying the increase in total combat time as the rank in BJJ increases.

Computing a group action from the class field theory of imaginary hyperelliptic function fields

We explore algorithmic aspects of a simply transitive commutative group action coming from the class field theory of imaginary hyperelliptic function fields. Namely, the Jacobian of an imaginary hyperelliptic curve defined over Fq acts on a subset of isomorphism classes of Drinfeld modules. We describe an algorithm to compute the group action efficiently. This is a function field analog of the Couveignes-Rostovtsev-Stolbunov group action. We report on an explicit computation done with our proof-of-concept C++/NTL implementation; it took a fraction of a second on a standard computer. We prove that the problem of inverting the group action reduces to the problem of finding isogenies of fixed τ-degree between Drinfeld Fq[X]-modules, which is solvable in polynomial time thanks to an algorithm by Wesolowski. We give asymptotic complexity bounds for all algorithms presented in this paper.

On an uncountable family of graphs whose spectrum is a Cantor set

For each p\geq 1 , the star automaton group \mathcal{G}_{S_p} is an automaton group which can be defined starting from a star graph on p+1 vertices. We study Schreier graphs associated with the action of the group \mathcal{G}_{S_p} on the regular rooted tree T_{p+1} of degree p+1 and on its boundary \partial T_{p+1} . With the transitive action on the n -th level of T_{p+1} is associated a finite Schreier graph \Gamma^{p}_{n} , whereas there exist uncountably many orbits of the action on the boundary, represented by infinite Schreier graphs which are obtained as the limits of the sequence \{\Gamma_{n}^{p}\}_{n\geq 1} in the Gromov–Hausdorff topology. We obtain an explicit description of the spectrum of the graphs \{\Gamma_{n}^{p}\}_{n\geq 1} . Then, by using amenability of \mathcal{G}_{S_p} , we prove that the spectrum of each infinite Schreier graph is the union of a Cantor set of zero Lebesgue measure, which is the Julia set of the quadratic map f_{p}(z) = z^{2}-2(p-1)z -2p , and a countable collection of isolated points supporting the Kesten–Neumann–Serre spectral measure. We also give a complete classification of the infinite Schreier graphs up to isomorphism of unrooted graphs, showing that they may have 1 , 2 or 2p ends, and that the case of 1 end is generic with respect to the uniform measure on \partial T_{p+1} .

Enhancing the Grid Support From DFIG-Based Wind Farms During Voltage Events

With the increasing penetration of renewable energy generators, the world is positively progressing toward the goal of sustainable development. However, the grid strength and inertia are decreasing due to the associated technological limitations. To this end, this research paper proposes a novel approach to enhance the support from DFIG-based wind farms with their existing capacity during critical events like voltage-ride-through. The effectiveness of the method is tested with a reactive power-prioritizing grid code of India. The proposed optimization framework achieves this objective in three stages. The first stage maximizes the wind farm's reactive power reserve in maximum power and de-loaded modes. The second stage uniquely distributes the control references to achieve minimal transitional pitch action between these modes for reduced wear and tear while honoring the maximum reactive power capability. The third stage generates lookup tables of control limits for maximal active power support within the grid code and the system constraints. The optimization is a one-time process for a specified farm geometry. Since the method is lookup table-based, the mode transitions are real-time feasible. The simulation test cases with the benchmark model demonstrate the efficacy of the proposed strategy, especially when the Wake Effect is prominent.

Air quality monitoring in the eastern Jiul Valley

Jiu Valley is an area with a tradition in the field of mining. Over time, coal mining has been the main driver of the local economy. The decrease in the level of coal use also led to the closure of mining units in the Jiu Valley. Such transitional actions require calibration to climate, environmental and health responsibilities. Air pollution specific to the area has, perhaps, the most significant impact on the quality of population’s life in terms of affecting health. The paper presents the air quality monitoring in the Eastern Jiu Valley for a period of four months (one sampling campaign/month), between February and May 2023, in six monitoring points, with the help of the Mobile Environmental Laboratory which has the facility of simultaneously determining several samples for quick identification of polluted areas. The established monitoring program includes the monitoring points, monitoring frequency and duration, as well as the areas where the mobile laboratory was located. The analysed data highlight the air quality in the Eastern Jiu Valley to establish the medium and long-term objectives in each area where the mobile laboratory was located, as well as the level of exposure of resident population. The concentration levels found in different urban areas illustrate the average concentrations of dust, gases and ozone caused by both activities in the area and road traffic.