Hasil untuk "Law"

M. Gurtin

K. Goh, B. Kahng, Dong Chul Kim

We study a problem of data packet transport in scale-free networks whose degree distribution follows a power law with the exponent gamma. Load, or "betweenness centrality," of a vertex is the accumulated total number of data packets passing through that vertex when every pair of vertices sends and receives a data packet along the shortest path connecting the pair. It is found that the load distribution follows a power law with the exponent delta approximately 2.2(1), insensitive to different values of gamma in the range, 2 < gamma < or = 3, and different mean degrees, which is valid for both undirected and directed cases. Thus, we conjecture that the load exponent is a universal quantity to characterize scale-free networks.

R. Kosloff

Quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. The viewpoint advocated is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts dynamics into thermodynamics, giving a sound foundation to finite-time-thermodynamics. The emergence of the 0-law, I-law, II-law and III-law of thermodynamics from quantum considerations is presented. The emphasis is on consistency between the two theories, which address the same subject from different foundations. We claim that inconsistency is the result of faulty analysis, pointing to flaws in approximations.

Yasaman Bahri, Ethan Dyer, J. Kaplan et al.

Significance The population loss of trained deep neural networks has been empirically observed to improve as a power law in a variety of large models and datasets. We investigate the origins behind such “scaling laws” and provide a taxonomy for different scaling regimes. Our findings are based on derivations in linear random feature models—which, in addition to being a simple fruitful model, also describe the wide network limit of deep neural networks. We further formulate and verify aspects of scaling based on smoothness in interpolating a data manifold. We support our theory with empirical results in realistic settings. Our work provides insights into scaling laws and bridges the large gap between theory and experiment in modern deep learning.

Lawrence Lessig

Daniel Berkowitz, Katharina Pistor, J. Richard

Cuixia Liu, Meng Meng, Xian Luo

Based on the innovative mode driven by “data + artificial intelligence”, in this study, three methods, namely Gaussian noise (GAUSS Noise), the Generative Adversarial Network (GAN), and the optimized Generative Adversarial Network (GANPro), are adopted to expand and enhance the collected dataset of element contents and the hardness of the AlCoCrCuFeNi high-entropy alloy. Bayesian optimization with grid search is used to determine the optimal combination of hyperparameters, and two interpretability methods, SHAP and permutation importance, are employed to further explore the relationship between the element features of high-entropy alloys and hardness. The results show that the optimal data augmentation method is Gaussian noise enhancement; its accuracy reaches 97.4% under the addition of medium noise (σ = 0.003), and an optimal performance prediction model based on the existing dataset is finally constructed. Through the interpretability method, it is found that the contributions of Al and Ni are the most prominent. When the Al content exceeds 0.18 mol, it has a positive promoting effect on hardness, while Ni and Cu exhibit a critical effect of promotion–inhibition near 0.175 mol and 0.14 mol, respectively, revealing the nonlinear regulation law of element contents. This study solves the problem of revealing the mutual relationship between the element contents and hardness of high-entropy alloys in the case of a lack of alloy data and provides theoretical guidance for further improving the performance of high-entropy alloys.

Li Chen, Yuan Tian, Nana Zhang et al.

To prevent toxic and harmful gas suffocation accidents in underground metal mine stopes, the Fluent numerical simulation method was employed to investigate the wind field distribution patterns and the diffusion laws of blasting fumes in stopes with and without middle–end roadways under varying effective ranges. The simulation accuracy was validated through laboratory experiments. The results demonstrate that over time, the CO concentration in the blasting area decreases, while in other regions of the stope, it initially increases before declining. The presence or absence of a middle roadway does not significantly alter the migration and diffusion behavior of blasting fumes in the stope. When the effective range is ER–1, the simulation error is only 8 s. As the effective range increases, the time required to reduce the CO concentration to 24 ppm on the respiratory plane, across the entire space, and at the monitoring point follows a linearly increasing trend. Meanwhile, the maximum wind speed at the working face exhibits a linearly decreasing trend, whereas the peak CO concentration shows a linearly increasing trend. Under the ER–1 effective range, the CO concentration can be reduced to a safe threshold more rapidly. The experimental and simulation results exhibit an error margin within 16.97%, confirming the accuracy of the numerical simulation.

Zhongxuan Liu, Jiayou Shi, Jingyi Xu

Scientific scandals are catalysts for the evolution process of legal governance. The 2018 CRISPR-babies Incident has essentially triggered China's legal reforms of ethics governance in science and technology. This paper explores the institutional deficiency that led to such a scandal, analyzes its long-term implications for legal governance, and presents China's recent legal progress in response to such an issue. The rapid legislative response to the CRISPR-babies Incident is a double-edged sword, while promoting the improvement of the legal system, it can also cause issues like fragmentation of governance, contradictory rules, and conflict of interest. China should integrate departmental norms and upgrade its level of effectiveness. Strengthening legislation is the implementation path, and improving ethical review, supervision and scientific research integrity systems are the crucial means. In addition, it is necessary to bring the coordinating function of the Central Science and Technology Commission into full play and pay more attention to public engagement and international cooperation.

Raphael Boldt

A partir de uma abordagem criminológico-crítica que se projeta desde o trabalho pioneiro dos frankfurtianos (Rusche e Kirchheimer), o presente artigo analisa os principais reflexos no campo do controle penal decorrentes do capitalismo de vigilância, reconfiguração produzida pela chamada revolução digital, compreendida como mais uma das etapas da modernidade, consistente, sobretudo, na glorificação das novas tecnologias, ideologia que autoriza a emergência das novas fronteiras e conquistas da técnica moderna.

Zhidong Bai, Jiang Hu

Consider a complex random $n\times n$ matrix ${\bf X}_n=(x_{ij})_{n\times n}$, whose entries $x_{ij}$ are independent random variables with zero means and unit variances. It is well-known that Tao and Vu (Ann Probab 38: 2023-2065, 2010) resolved the circular law conjecture, establishing that if the $x_{ij}$'s are independent and identically distributed random variables with zero mean and unit variance, the empirical spectral distribution of $\frac{1}{\sqrt{n}}{\bf X}_n$ converges almost surely to the uniform distribution over the unit disk in the complex plane as $n \to \infty$. This paper demonstrates that the circular law still holds under the more general Lindeberg's condition: $$ \frac1{n^2}\sum_{i,j=1}^n\mathbb{E}|x_{ij}^2|I(|x_{ij}|>η\sqrt{n})\to 0,\mbox{as $n \to \infty$}. $$ This paper is a revisit of the proof procedure of the circular law by Bai in (Ann Probab 25: 494-529, 1997). The key breakthroughs in the paper are establishing a general strong law of large numbers under Lindeberg's condition and the uniform upper bound for the integral with respect to the smallest eigenvalues of random matrices. These advancements significantly streamline and clarify the proof of the circular law, offering a more direct and simplified approach than other existing methodologies.

Gil Goffer, Be'eri Greenfeld, Alexander Yu. Olshanskii

We construct novel examples of finitely generated groups that exhibit seemingly-contradicting probabilistic behaviors with respect to Burnside laws. We construct a finitely generated group that satisfies a Burnside law, namely a law of the form $x^n=1$, with limit probability 1 with respect to uniform measures on balls in its Cayley graph and under every lazy non-degenerate random walk, while containing a free subgroup. We show that the limit probability of satisfying a Burnside law is highly sensitive to the choice of generating set, by providing a group for which this probability is $0$ for one generating set and $1$ for another. Furthermore, we construct groups that satisfy Burnside laws of two co-prime exponents with probability 1. Finally, we present a finitely generated group for which every real number in the interval $[0,1]$ appears as a partial limit of the probability sequence of Burnside law satisfaction, both for uniform measures on Cayley balls and for random walks. Our results resolve several open questions posed by Amir, Blachar, Gerasimova, and Kozma. The techniques employed in this work draw upon geometric analysis of relations in groups, information-theoretic coding theory on groups, and combinatorial and probabilistic methods.

Leilane Serratine Grubba, Huryel Locatelli

A obsolescência programada tem por objetivo aumentar a produção e consumo de bens. Com essa premissa, o artigo visa analisar o crescimento da obsolescência programada e de que forma ela se instalou no sistema de produção e ideal de consumo da população ocidental. Para tanto, discute-se dois prontos principais: como o mercado de consumo obstaculiza o direito ao meio ambiente sadio e equilibrado e de que forma isso vem se agravando ao decorrer do tempo. Questiona-se, ademais, a possibilidade de se imaginar uma economia viável sem a obsolescência programada ou o impacto no meio ambiente. Conclui-se que é possível e viável instituir uma economia sólida e reduzir o impacto no meio ambiente sem a obsolescência programada, seguindo alguns pontos principais tratados no texto, bem como, a conscientização do consumidor. Utilizou-se do método dedutivo e a técnica de pesquisa bibliográfica.

ابراهیم مرادی, احمد فلاحی, شهرام محمدی

افسادفی‌الارض از مفاهیم محل بحث و اختلاف نظر است و تبیین آن در فضای مجازی از مسائل بسیار محسوب می‌شود. هدف مقاله حاضر بررسی مفهوم و مصادیق افسادفی‌الارض در فقه و حقوق کیفری است. مقاله پیش‌رو توصیفی تحلیلی بوده و با استفاده از روش کتابخانه‌ای به بررسی سؤال مورد اشاره پرداخته شده است. یافته‌ها بر این امر دلالت دارد که اساساً در فقه در سرفصل مشخصی به افسادفی‌الارض پرداخته نشده و عمدتاً در بحث درخصوص محاربه، به افسادفی‌الارض اشاره شده است. میان فقها در این زمینه اختلاف نظر وجود دارد: برخی آن را زیر لوای محاربه و برخی دیگر جرمی مستقل قلمداد کرده‌اند. در قانون مجازات اسلامی مصوب ۱۳۹۲ رویکرد دوم پذیرفته شده است. در فقه امامیه، مواردی چون آتش زدن خانه دیگری، قتل اهل ذمه و کفن دزدی به‌عنوان مصادیق افسادفی‌الارض شناخته شده است. در مذاهب اهل سنت، بسیار کمتر به افسادفی‌الارض پرداخته شده و حاکم اسلامی را در تعیین مصادیق آن صاحب اختیار می‌دانند. ترویج فساد در اجتماع می‌تواند راحت‌تر از قبل از طریق فضای گسترده مجازی صورت پذیرد. پس می‌توان قائل به تحقق افسادفی‌الارض در فضای مجازی بود.

Kim Chol-jun

We checked that the distribution of words in text should uniform, which gives Heaps' law as natural result, that is, the number of types of words can be expressed as a power law of the number of tokens within text. We developed a ``superposition'' model, which leads to an asymptotic power-law distribution of the number of occurrences (or frequency) of words, that is, Zipf's law. The model is well consistent with observations.

D. Brahams

H. G. Baker

Xiongye Zhang, Lixin Zhang, Xue Hu et al.

The rotary tillage knife roller, as one of the typical soil-touching parts of the tillage equipment cutting process, is in direct contact with the soil. During the cutting process, there are problems related to structural bending, deformation, and high power consumption, caused by impact and load, and it is difficult to observe the micro-change law of the rotary tillage tool and soil. In view of the above problems, we took the soil of the cotton experimental field in Shihezi, Xinjiang, and the soil-contacting parts of the rotary tillage equipment, specifically the rotary tiller roller, as the research subject. Using the finite-element method (FEM) to simulate the structure of the rotary tiller with different bending angle parameters, we obtained its average stress and deformation position information, and obtained a range linear relationship between the bending angle and the structural performance of the rotary tiller tool. Using discrete element method (DEM)-based simulation to build the corresponding contact model, soil particle model, and soil–rotary tillage knife roll interaction model to simulate the dynamic process of a rotary tillage knife roll cutting soil, we obtained the change rules of the soil deformation area, cutting process energy, cutting resistance, and soil particle movement. By using the orthogonal simulation test and the response surface method, we optimized the kinematic parameters of the rotary tiller roller and the key design parameters of a single rotary tiller. Taking the reduction of cutting power consumption as the optimization goal and considering the influence of the bending angle on its structural performance, the optimal parameter combination was obtained as follows: the forward speed was 900 m/h, the rotation speed was 100 rad/min, the bending angle was 115°, and the minimum power consumption of the cutter roller was 0.181 kW. The corresponding average stress and deformation were 0.983 mm and 41.826 MPa, which were 15.8%, 13%, and 7.9% lower than the simulation results of power consumption, stress, and deformation under the initial parameter setting, respectively. Finally, the effectiveness of the simulation optimization model in reducing power consumption and the accuracy of the soil-cutting simulation were verified by a rotary tilling inter-field test, which provided theoretical reference and technical support for the design and optimization of other typical soil-touching parts of tillage and related equipment, such as disc harrow, ploughshare, and sub-soiling shovel.

Mohsen Abbaszadeh Marzbali

As one of the most visible aspects of political life in recent years, the populist rises imply the ‘crisis of representation’ that means the existing institutional mechanism of representative democracy is ineffective in representing the variety of social demands. While this situation, according to the liberal democratic approach, warns of the revival of mass society and new versions of authoritarianism, the radical democratic approach considers it a possibility to retrieve democracy. Which variables determine the contending evaluations of the impact of populism on democracy? The present paper presupposes that the contending evaluations are driven by different conceptions of the principal constituent of democracy (rule of law or general will?) and the populism entity (a manner of governance or a movement constructing collective will?). Given the postulates of the contending democratic theories (liberal and radical), the paper hypothesizes that evaluating the effects of populism on democracy depends on the way of interaction of some variables: a) the content of the populist discourse (egalitarian articulation of plural demands or discriminatory one?); b) the context in which the populist movement arises (democratic structure of opportunity or authoritarian one?) c) the mutual strategy of political actors whether from opposition or in position ones (the connection between street politics and institutional one or disconnection?). Taking advantage of the contending democratic theories (liberal and radical) in a combinative theoretical framework, the paper attempts to justify the hypothesis by highlighting the fact that both democratic theories are built on one aspect of the conception of democratic order. Marking the elements such as individual subjectivity, rationality, the rule of law, pluralism, etc. as characteristics of democratic order, a liberal democratic approach considers populist popular and exclusionary (i.e., determined by populists’ particular definition of the people) orientation as a threat to democracy. It is because such orientation restricts public debates and leads to weakening democratic institutions, the opposition’s rights, and the plurality of society. On the contrary, the radical democratic approach points to the significance of the populist mobilization for the democratization of status quo democracies owing to re-politicization of the issues neglected by the sovereign elite, provided that to articulate accumulated demands around a democratic egalitarian nodal point. Such evaluation emanates from the fact that this approach identifies democracy with collective subjectivity, general will, participation, and so on. It seems that a non-paradoxical and justifiable reference to both the above-mentioned approach in an analysis of the effect of populism on democracy entails taking their different concentrations into account. It means ‘populism-in-power’ (as a way of governance) puts the structural foundations of democracy in danger and facilitates the emergence of authoritarianism due to its anti-institutionalism, anti-pluralism, and tendency to mass politics. It is whilst, in the status of ‘opposition’ (a mobilizing movement), populism might be an opportunity to revive democratic politics. This argument resorts to the action of constructing a new collective will, in populist strategies of mobilizations, which reveals shortages of representative systems such as the monopoly of a minority, technocratic elitism, and so on. Nevertheless, the actualization of the progressive effects of the populist movements on democracy depends heavily on the interaction of variables which are as follows.   a) If the populist discourse articulates accumulated social demands around a democratic egalitarian will, then the populist moment (as the moment of crisis in a representative democracy) can be of progressive connotations for democracy-deepening. Conversely, discriminatory articulation (like racist or class populism) paves the way for authoritarianism. Hence in terms of democratization and de-democratization, various populisms can be imagined; ranging from democratic populism to authoritarian, leftist to far-right. b)  Realization of the above-mentioned progressive version of populism depends on the ‘democratic structure of political opportunity’. The possibility of mobilization by democratic egalitarian populism is only imaginable where the rules of the democratic competition are guaranteed. In other words, if there is no equal and fair opportunity to declare the policies in electoral campaigns and implement them after taking into power, then there can be just governmental types of populism that mobilize the mass for advocating governmental policies and decisions. Here, populism appears in its authoritarian face in a mass society. c) The third variable is the strategy that political actors of both realms, movement, and institution, in a political structure adapt. If the populist movement ties its street activism with institutional bargaining (e.g. by resorting to parliamentary parties) and, mutually, the government opens up the policy-making input to populist demands (rather than rejecting them), then the rise of a democratic egalitarian populist movement might result in democracy- deepening. Otherwise, populism can bring about some contending de-democratizing mass mobilizations, whether in the shape of authoritarian up-to-down governmental populism or fruitless gross-root radical populism. In brief, the paper maintains that by vindicating ‘popular sovereignty’, populism has double-edged effects in terms of weakening or strengthening democracy; ranging from an infertile radicalism leading to authoritarianism to radical reformism containing the possibility of retrieval of democracy. Hence democratic theory needs to develop an order that balances the rule of law and public will as two sides of democracy. It calls for a new social contract based on a balanced relationship between specialism and democratic responsibility. To reach such a situation, more inclusive politics should be targeted by current-day democracies. The key, however, is hearing the demands of populist advocators rather than populist leaders’ programs.

Susi Mari-Ann

Contemporary theoretical discourse views animals as a vulnerable group, and also recognizes their capability of mental suffering. The question why this recognition has not been translated into a global and universally accepted accordance of fundamental rights to certain groups of animals is relevant for animal rights protection, while at the same time it illustrates the divide between the idealistic and normative dimensions of law. It appears that humans have known for thousands of years that at least some animals are capable of mental suffering and constitute a vulnerable group. Changes in animal rights protection have led to some changes in legislation, but these are not fundamental and do not concern the strive toward universal recognition that animals have fundamental rights. This means that there must be some other, decisive factors that are needed to move forward from the stage of vulnerability recognition to the normative development stage.