Classical Law Research Articles

Information consumption and firm size.

Social and biological collectives exchange information through internal networks to function. Less studied is the quantity and variety of information transmitted. We characterize the information flow into organizations, primarily business firms. We measure online reading using a large dataset of articles accessed by employees across millions of firms. We measure and relate quantitatively three aspects: reading volume, variety and firm size. We compare volume with size, showing that firm sizes grow sublinearly with reading volume. This is like an economy of scale in information consumption that exaggerates the classic Zipf's law inequality for firm economics. We connect variety and volume to show that reading variety is limited. Firms above a threshold size read repetitively, consistent with the onset of a coordination problem between teams of employees in a simple model. Finally, we relate reading variety to size. The relationship is consistent with large firms that accumulate interests as they grow. We argue that this reflects structural constraints. Taking the scaling relations as a baseline, we show that excess reading is strongly correlated with returns and valuations. The results indicate how information consumption reflects internal structure, beyond individual employees, as is likewise important for collective information processing in other systems.

Numerical Modeling of Two-Phase Fluid Filtration for Carbonate Reservoir in Two-Dimensional Formulation

This work considers the isothermal process of incompressible viscous fluid filtration in an oil-saturated, fractured-porous reservoir. A study of the pressure and water saturation distribution process is carried out for a case in which a production well is put into operation. For this problem, i.e., a mathematical model in a two-dimensional formulation, a numerical method and a parallel algorithm are proposed. The mathematical model of two-phase filtration is written in accordance with the classical laws of continuum mechanics and Darcy’s law and also includes a function of fluid exchange between low-permeability pores and high-permeability natural fractures within the framework of the Warren–Root model. The numerical solution is based on the finite-difference method and a splitting scheme of physical processes and spatial coordinates. For a split system with respect to piezoconductivity, an implicit finite-difference scheme with fixed saturations is constructed, and with respect to saturation transfer, explicit and implicit difference schemes are constructed. For parallel implementation of the developed numerical approach, a method based on geometric parallelism is selected. Testing of the developed method is performed using the example of calculating liquid mass transfer for a wide range of parameters. To verify the model, the obtained calculated pressure curves are compared with field data recorded by a deep-well measuring device. The results allow for estimation of the distribution of reservoir pressure and water saturation depending on the permeability of the fracture set and the pore part. The obtained results allow for monitoring of well operations, reducing unexpected accident risks and optimizing the development system in order to increase oil production in fractured-porous reservoirs. Computational experiments confirm the efficiency of the developed numerical algorithm and its parallel implementation.

Rayleigh Waves in a Thermoelastic Half-Space Coated by a Maxwell–Cattaneo Thermoelastic Layer

This paper investigates the propagation of in-plane surface waves in a coated thermoelastic half-space. First, it investigates a special case where the surface layer is described by the Maxwell–Cattaneo thermoelastic approach, while the half-space is filled by a thermoelastic material described by the classical Fourier law for the heat flux. The contact between the layer and the half-space is assumed to be welded, i.e., the displacements and the temperature, as well as the stresses and the heat flux are continuous through the interface of the layer and the half-space. The boundary and continuity conditions of the problem are formulated and then the exact dispersion relation of the surface waves is established. An illustrative numerical simulation is presented for the case of an aluminum thermoelastic layer coating a thermoelastic copper half-space, highlighting important aspects regarding the propagation of Rayleigh waves in such structures. The exact effective boundary conditions at the interface are also established replacing the entire effect of the layer on the half-space. The general case of the problem is also investigated when both the surface layer and the half-space are described by the Maxwell–Cattaneo thermoelasticity theory. This study helps to further understand the propagation characteristics of elastic waves in layered structures with thermal effects described by the Maxwell–Cattaneo approach.

NOMINA OF MARRIED WOMEN IN CUM MANU MARRIAGES IN THE ROMAN REPUBLIC AND PRINCIPATE ERAS

Generally, a daughter in parental power in Roman family in the Republic and the Principate did not have personal name, but bore her father’s name in the feminine. A woman kept her father’s family name in marriage, but if she came under her husband’s lawful authority and became a member of his clan, her father’s family name became her personal name and her husband’s family name was added in the nominative or genitive case. In modern historical and legal science is traditionally considered that this custom was strictly observed in Republican Rome. But in the 2nd – 1st centuries BC this custom disappeared with the gradual withering away of cum manu marriage (confarreatio, coemptio, usus). The author, basing on the position of Theodor Mommsen about the family name of married women, analyses the sources of classical Roman law of the 1st – 3rd centuries AD and concludes that the marriages confarreatio and coemtio and the husband’s power over the wife continued throughout the Principate. In addition, the author hypotheses that the tradition of attaching the husband’s name to the father’s family name of the married woman also continued throughout the classical period of Roman law.

Visibility of the Death Penalty in Indonesia: From Levy to Restoration

<em><span lang="EN-US">In Indonesia, the death penalty is regulated in Article 10 letter a number 1 of the old Criminal Code and is placed as the main crime. The death penalty is a classic criminal law product which emphasizes that punishment must contain retribution or appropriate reward. Meanwhile, after the new Criminal Code was passed, the death penalty was made more flexible. There is a kind of paradigm shift in punishment from the old Criminal Code which was retaliatory in nature to the new Criminal Code which is restorative and rehabilitative in nature. The death penalty is made a special punishment and is threatened alternatively with other types of punishment, for example imprisonment for 20 years or life imprisonment. The death penalty can also be carried out through a probationary period.</span></em>

Faraday instability of viscous liquid films on a heated substrate with Maxwell–Cattaneo heat flux

Faraday instability of viscous liquid films with Maxwell–Cattaneo (MC) heat flux on an infinite, heated horizontal substrate subject to vertical time-varying periodic vibration is investigated theoretically. The MC effect means that the response of the heat flux to a temperature gradient obeys a relaxation time law rather than a classical Fourier time law. Applying the classic Floquet theory to linear analysis, a recursive relation is obtained. When considering the MC effect, a new phenomenon appears at a large wave number k. The neutral stability curves branch new tongues that turn left rather than right as before, but the tongues still move up and right as the wave number increases. Furthermore, typical harmonic (H) and subharmonic (SH) alternation behavior continues to exist. Interestingly, the first tongue of a branch is H or SH, implying that there is a transition following the branches. However, near the critical wave number kc of a branch, the SH and H almost overlap. As Cattaneo number C increases, the tongue-like unstable zones of branches become wider, and the critical wave number kc of the appeared branch becomes small. As the driving frequency ω decreases, the branch tongues become elongated and the critical wave number kc of the appeared branch becomes small.

Neoclassical Gravitational Field Theory

This Neoclassical Gravitational Field Theory offers a potential alternative perspective on the nature of gravity by expanding upon Newton’s classical law of gravitation. It seeks to address fundamental questions, such as why gravity functions as it does and why nothing in the universe can escape its influence. This paper explores some of the long-standing mysteries of gravity, including why masses are multiplied in Newton's gravitational formula and why objects accelerate at the same rate in a local gravitational field, regardless of their structure or composition. By presenting a classical framework, this research aims to provoke discussion and encourage further exploration of alternative explanations for gravity, potentially leading to a deeper understanding of both gravity and the universe itself.

Iddah Sebagai Instrumen Perlindungan Perempuan Dalam Hukum Islam

This research examines the concept of iddah in Islamic law, focusing on its provisions, criteria, and impact on the rights and welfare of Muslim women. Iddah is a waiting period that a woman must undergo after divorce or the death of her husband, which aims to ensure the certainty of lineage and allow time for emotional healing and social adjustment. This study analyzes the various provisions of iddah, such as the duration and conditions that must be met, as well as the criteria that affect the iddah period, such as age, state of pregnancy, and previous marital status. The impact of iddah on women's rights, including the right to maintenance during iddah (nafkah iddah) and the right to mut'ah, is also discussed in depth. The research also explores the psychological and social well-being of Muslim women during the iddah period, as well as the legal and social implications of its provisions in the modern context. Based on an analysis of classical Islamic law and contemporary practices in various countries, the study concludes that while iddah aims to protect women's rights, its implementation often presents challenges, particularly in relation to women's financial and emotional well-being. Therefore, legal reforms that take into account the current social context and women's needs are needed to ensure that iddah provisions can be applied fairly and provide maximum protection for Muslim women

Sulfur recombination: A direct approach.

This work presents a direct three-body recombination approach of the sulfur recombination reaction, S + S + M → S2 + M, at temperatures between 100 and 500K. Our calculations for M = Ar, based on a classical trajectory approach in hyperspherical coordinates, show excellent agreement with the experimental measurement at T = 298K of Fair and Thrush [Trans. Faraday Soc. 65, 1208 (1969)]. Similarly, we find that the production of S2 strongly depends on the SAr product, the other possible reaction channel. Finally, using the classical threshold law, we check sulfur recombination with another third body, M = H2S, and find no significant change in the rate.

Retrieving the time-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

PurposeIn order to include the non-negligible lag relaxation time feature that is characteristic of heat transfer in biological bodies, the classical Fourier's law of heat conduction has to be generalized as the Maxwell–Cattaneo law resulting in the thermal-wave model of bio-heat transfer. The purpose of the paper is to retrieve the unknown time-dependent blood perfusion coefficient in such a thermal-wave model of bio-heat transfer from (non-intrusive) measurements of the temperature on an accessible sub-portion of the boundary that may be taken with an infrared scanner.Design/methodology/approachThe nonlinear and ill-posed problem is reformulated as a nonlinear minimization problem of a Tikhonov regularization functional subject to lower and upper simple bounds on the unknown coefficient. For the numerical discretization, an unconditionally stable direct solver based on the Crank–Nicolson finite-difference scheme is developed. The Tikhonov regularization functional is minimized iteratively by the built-in routine lsqnonlin from the MATLAB optimization toolbox. Numerical results for a benchmark test example are presented and thoroughly discussed, shedding light on the performance and effectiveness of the proposed methodology.FindingsThe inverse problem of obtaining the time-dependent blood perfusion coefficient and the temperature in the thermal-wave model of bio-heat transfer from extra boundary temperature measurement has been solved. In particular, the uniqueness of the solution to this inverse problem has been established. Furthermore, our proposed computational method demonstrated successful attainment of the perfusion coefficient and temperature, even when dealing with noisy data.Originality/valueThe originalities of the present paper are to account for such a more representative thermal-wave model of heat transfer in biological bodies and to investigate the possibility of determining its time-dependent blood perfusion coefficient from non-intrusive boundary temperature measurements.

A/the Common Good

Abstract The emerging school of “common good constitutionalism” takes a classical natural law approach of identifying the central case of law and constitutionalism, recognizing that a state may make positive law in part based on circumstance, convenience, or a need for social coordination. While law under the classical approach is rooted in realizing the common good of the complete community, this ideal does not dictate all of law’s specifics. Nevertheless, there is a difficulty within the emerging school of common good constitutionalism in the way it seeks to respect the diversity of constitutional orders while retaining a single reference point of the common good. Adrian Vermeule and others appeal to positive law as the determinatio through which public authorities make concrete the state’s pursuit of the common good. But there is often a gulf between common good principles and the determinatio of law. The move from principles to the legitimacy or justness of positive law lies, for Vermeule, in joining-up the central case method of natural law with a singular notion of the common good. The article criticizes this reliance, arguing that the central case method cannot be used to determine law in the sense of the determinatio of positive law. In his articulation of central case methodology, John Finnis is, by contrast, careful to leave space for varieties of coordination and forms of justice, such that the central case method plays a limited role in establishing what counts as common goods. Rather, the central case method identifies what law is. The same delicacy is present in Aquinas, who does not in fact define law as an ordinance of reason for the common good in the way that common good constitutionalists so far would like it to mean, because there are no articles in Latin grammar. In this regard, common good constitutionalism’s mistake is unfortunately in keeping with the majority of jurisprudence, which commits the logical fallacy that an internally consistent account of law is externally authoritative—in other words, that harmony in the way in which laws and legal principles relate to themselves can act as a basis to the body politic’s prioritization of some goods over others.

Continuity and Evolution in Vermeule on Legal Interpretation

Abstract This article is a constructive interpretation of Adrian Vermeule’s thought on legal interpretation, putting his previous work on these issues in conversation with his explicit embrace of the classical legal tradition so prominently on display in Common Good Constitutionalism. What emerges is a picture of Vermeule’s contemporary thinking on interpretation that has an interesting core of continuity, one running concurrently with several significant conceptual and normative evolutions brought about by his more explicit embrace of a classical legal framework. Part I offers a synthesis of Vermeule’s treatment of core questions of legal interpretation pre-Common Good Constitutionalism. Part II begins by outlining Vermeule’s express turn to the classical legal tradition and how this tradition approaches important public law issues linked to interpretation. Part II then proceeds to pick out and elaborate on themes of continuity and evolution. I argue here that while Vermeule’s embrace of the classical legal tradition has involved several significant conceptual and normative shifts in his thinking, this has not involved repudiation of his prior work on legal interpretation. Rather, the thrust and insights of much of his previous public law thought on interpretation retain vibrancy within the explicitly classical framework he has now adopted. Overall, I suggest Common Good Constitutionalism, and the works accompanying and building upon it, can be profitably read as providing a form of retroactive coherence to Vermeule’s long-standing arguments concerning legal interpretation, offering them a unifying conceptual framework. From the perspective of a classical natural law jurist at least, Vermeule’s embrace of the classical tradition provides his extensive body of scholarship in this area a more explicit and robust conceptual and normative anchor.

Negative obligations under Roman private law

The article provides a critical review of the sources of Roman law regarding negative obligations. The author indicates that in the classical definition of the content of the obligation of the Roman jurist Paul (D. 44.7.3 pr., Paulus 2 inst.) the concept of «abstaining from actions» is absent, but the same Paul indicates that the concept of «doing» (facere ) includes also «to abstain» (abstinere) (D. 50.16.189, Paulus 34 ad ed). Therefore, it can be stated that obligations with a negative content were recognized in classical Roman law. However, the author emphasized that negative obligations in Roman law, as a rule, did not have an independent meaning, but appeared in additional conditions to the main contractual obligation and were not typical. As typical obligations, the article analyzes the agreement on non-alienation (pactum de non alienando), the agreement on not filing a lawsuit (pactum de non petendo) and the agreement on not providing a guarantee for eviction (pactum de non praestanda evictione). In Roman law, the non-alienation agreement mostly accompanied sales or pledge relations. Moreover, the violation of the non-alienation agreement did not result in the invalidity of the sale. The sale of the subject of pledge carried out under prohibition resulted only in the liability of the party who committed such a violation. In modern law, the agreement on non-alienation of the subject of the pledge has been transformed into a legal prohibition of the alienation of the pledged property without the consent of the pledgee. A non-suit agreement was an informal agreement under which the creditor undertook not to file a claim against the debtor at all or for a certain period of time in the event of his non-fulfillment of the obligation. Violation of this agreement had only a procedural effect: the defendant could raise a procedural objection (exceptio) that an agreement not to file a lawsuit had taken place. The agreement on not providing a guarantee for eviction reduced the responsibility of the debtor- seller for seizing of the thing from the buyer on the grounds that had existed before its sale. According to the claim from the purchase, in case of eviction of the thing from the buyer, the seller had to be liable in the amount of damages. In case of concluding an agreement not to provide a guarantee for eviction, the seller was liable only in the amount of the purchase price of the item.

Electronic correlations influence on the anomalous constitutive law between the structure and spectra of hydrogen bonds

Classical constitutive law between the structure and spectra has long been established in most physical processes and behaviors. Despite the emerging consensus, whether this law applies to microscopic systems adhering to quantum mechanics remains a fundamental and open question, due to limitations in even the most state-of-the-art experimental techniques. Here, we report an anomalous constitutive law of hydrogen bonds (X-H···Y) using a benchmark method. Notably, a donor X-H bond shortening occurred simultaneously with an unexpected redshift and enhanced intensity in IR spectra. The reason for donor X-H bond shortening is attributed to both the slowly increasing attractive force from the acceptor Y atom and the increasing short-range repulsive forces from other protons attached to the approaching acceptor Y atom. Furthermore, neither eliminating vibrational mixing nor introducing various physical effects make vibrational spectra respond to X-H bond shortening. Other structural-characterization NMR spectra provide robust evidence for this anomalous law. This anomalous law is ascribed to the interplay of electronic correlations. Our Letter thus inspires a reassessment of paradigms, which broadens the scope of microscopic behavior for finer control. Published by the American Physical Society 2024

On the power and control of a misaligned rotor – beyond the cosine law

Abstract. We present a new model to estimate the performance of a wind turbine operating in misaligned conditions. The model is based on the classic momentum and lifting-line theories, considering a misaligned rotor as a lifting wing of finite span, and accounts for the combined effects of both yaw and uptilt angles. Improving on the classical empirical cosine law in widespread use, the new model reveals the dependency of power not only on the misalignment angle, but also on some rotor design parameters and – crucially – on the way a rotor is governed when it is yawed out of the wind. We show how the model can be readily integrated with arbitrary control laws below, above, and around the rated wind speed. Additionally, the model also shows that a sheared inflow is responsible for the observed lack of symmetry for positive and negative misalignment angles. Notwithstanding its simplicity and insignificant computational cost, the new proposed approach is in excellent agreement with large eddy simulations (LESs) and wind tunnel experiments. Building on the new model, we derive the optimal control strategy for maximizing power on a misaligned rotor. Additionally, we maximize the total power of a cluster of two turbines by wake steering, improving on the solution based on the cosine law.

Optical super-resolution nanothermometry via stimulated emission depletion imaging of upconverting nanoparticles.

From engineering improved device performance to unraveling the breakdown of classical heat transfer laws, far-field optical temperature mapping with nanoscale spatial resolution would benefit diverse areas. However, these attributes are traditionally in opposition because conventional far-field optical temperature mapping techniques are inherently diffraction limited. Optical super-resolution imaging techniques revolutionized biological imaging, but such approaches have yet to be applied to thermometry. Here, we demonstrate a super-resolution nanothermometry technique based on highly doped upconverting nanoparticles (UCNPs) that enable stimulated emission depletion (STED) super-resolution imaging. We identify a ratiometric thermometry signal and maintain imaging resolution better than ~120 nm for the relevant spectral bands. We also form self-assembled UCNP monolayers and multilayers and implement a detection scheme with scan times >0.25 μm2/min. We further show that STED nanothermometry reveals a temperature gradient across a joule-heated microstructure that is undetectable with diffraction limited thermometry, indicating the potential of this technique to uncover local temperature variation in wide-ranging practical applications.

Simulation of impacts between spherical rigid bodies with frictional effects

AbstractThis work studies the impact between spherical rigid bodies in the frame of nonsmooth contact dynamics considering friction effects. A new impact element formulation based on the classical instantaneous local Newton impact law is presented. The kinematics properties of the spheres are described by a rigid body formulation with translational and rotational degrees of freedom referred to an inertial frame. In addition, an extension of the nonsmooth generalized‐ time integration scheme applied to collisions with multiple impacts including Coulomb's friction law is given. Six numerical examples are presented to evaluate the robustness and the performance of the proposed methodology.

Nonlinear similarity characterisation and validation of dynamic response of ship stiffened plate structure under explosion load impacts

The similarity test of ship stiffened plate structures under underwater explosions is a cost-effective and efficient method to evaluate the vitality of ships and guide the design of their shock resistance. This study focuses on the nonlinear impact response model tests of ship stiffened plate structures and their similarity laws with actual ships. The vertical motion of the ship stiffened plate structure is characterized by the Hurst index, and an equivalent relationship between the Hurst index of the model and the prototype is derived from classical similarity law. Based on the Hurst index, a similarity transformation relationship between the strain signals of the model and prototype is established. To verify the conclusions, similarity experiments of underwater explosions were conducted on both the model and the prototype. The original signals were grouped by the natural vibration period to determine the variation of the Hurst index over time. The model experiment strain signals for each natural vibration period were converted and compared with the prototype experiment results to verify the method's effectiveness. Simultaneously, the Hurst index of the stiffened plate structure under explosive shock load and its similarity transformation relationship with the prototype were simulated and analyzed. This provides theoretical and technical support for conducting analogous nonlinear response experiments for ship underwater explosions.

Pratiloma Paranoia: Class Hierarchy, Conservatism, and Ethics in Classical Hindu Law

The Hindu law tradition grounds its social ethics on an ideological hierarchy of class or caste known as varṇa. The positive inculcation of this hierarchy is bolstered by a fear of social inversion, known as pratiloma, in every area of law and society. Through an examination of the concept of pratiloma, this article contends first that the central Hindu law principle of dharma, religious and legal duty, depends upon knowing and abiding by one’s place in society. From this Hindu articulation of social rank as the foundation of ethics, the article then draws a comparison between classical Anglo-American conservatism and Hindu law to suggest that conservative traditions in general base moral action on social station and the fear of breaking social rank. Ethics in Hindu law, therefore, are derived from an acceptance of social station within the varṇa hierarchy and the constant cultivation of local expectations of proper behavior according to social position.

КОНЦЕПЦІЯ ПОБУДОВИ ГІБРИДНОЇ СИСТЕМИ КЕРУВАННЯ МІКРОГІДРОЕЛЕКТРОСТАНЦІЄЮ

Methods of increasing the energy efficiency of micro-hydroelectric power plants are considered in the work. A new hy-brid concept of building a control system is proposed, which combines classical control laws and fuzzy logic. This makes it possible to improve the quality of the regulation of the parameters of the generated electricity regardless of changes in network operation modes and external conditions. It is shown that the use of hybrid filters will allow to in-crease the electromagnetic compatibility and, as a result, the energy efficiency of the system as a whole. References 12, figures 3.