Reparametrization of the Colle–Salvetti formula

We investigate the Colle–Salvetti (CS) formula, the basis of the Lee, Yang and Parr (LYP) correlation functional used in approximate density functional theory. The CS formula is reparametrized using high-accuracy Hartree–Fock (HF) wavefunctions to determine the accuracy of the formula to calculate anions. Fitting to the hydride ion or the two-electron system just prior to electron detachment at the HF level of theory does not, in general, improve the calculated correlation energies using the parameters derived from the CS/LYP method. An analysis of the CS parameters used in the popular LYP functional demonstrates the ingenuity and perhaps fortuitousness of the original formulation by CS.

Adams, Wilson, and the American Res Publica

This chapter considers the final stage of the Ciceronian tradition: the American founding. Insofar as the American founding is influenced by John Locke, it is indirectly indebted to Cicero. However, John Adams and James Wilson recognize the profoundly Ciceronian character of American liberal republicanism. Both argue that the prevailing understandings of natural law, justice, liberty, and what it means to be a republic derive from Cicero’s formulation. Moreover, Adams and Wilson see the American experiment as proving Cicero right, that a republic tethered to natural law could be realized. They also see the American Founding as contributing its own innovation to this tradition: written constitutionalism. The self-conscious writing of a regime’s constitution enables the principles of a natural law republic to be fixed and formalized in a way that Cicero’s original formulation did not provide for.

Locke’s Ciceronian Liberalism

This chapter considers how John Locke reunites the two strands of Ciceronian thought from the seventeenth century. Locke returns to Cicero’s original formulation of natural law republicanism and innovates on it. He derives from Cicero’s natural law a set of natural rights, corresponding to the duties Cicero claimed were imposed by natural law. Locke’s law of nature is a barely modified version of Ciceronian natural law, but his conception of natural rights allows him to solve a number of theoretical problems posed by Cicero’s construal of the issue. Locke also offers a solution to the puzzle of how a doctrine of natural law could meet the standard of skeptical epistemology.

Not only size matters: limits to the Law of Three Consonants in French phonology

Grammont’s (1914) influential Law of Three Consonants (LTC) states that French schwa is obligatorily pronounced in any CC_C sequence to avoid three-consonant clusters. Later works have shown that schwa presence is also sensitive to the nature of the consonants involved, at least at the word and phrase levels. However the LTC is still generally considered as accurate under its original formulation to describe schwa-zero alternations at the stem level. The goal of the paper is to test whether the LTC should be relaxed even in this context. The paper presents two studies using judgment data to compare the behavior of schwa in derived words (stem-level phonology) and in inflected words (word-level phonology). The results of the two studies show that the nature of consonants involved in the CC_C sequence plays a role at both stem and word levels. Moreover, the same phonotactic asymmetries among consonant clusters are found in both contexts. The data therefore support a weaker version of the stem-level vs. word-level divide than what is usually assumed for French. This conclusion is strengthened by the results of a modeling study showing that a constraint-based grammar with the same phonotactic constraints across stem- and word-level phonologies provides a better fit to the judgment data from Study 1 and Study 2 than a grammar with different phononotactic constraints in the two morphosyntactic domains. The paper also replicates a number of earlier findings on the role of morphosyntactic domains, clash avoidance, and dialectal variation in schwa-zero alternations.

Unified Embedding and Clustering

In this paper, we introduce a novel algorithm that unifies manifold embedding and clustering (UEC) which efficiently predicts clustering assignments of the high dimensional data points in a new embedding space. The algorithm is based on a bi-objective optimisation problem combining embedding and clustering loss functions. Such original formulation will allow to simultaneously preserve the original structure of the data in the embedding space and produce better clustering assignments. The experimental results using a number of real-world datasets show that UEC is competitive with the state-of-art clustering methods.

Unified Embedding and Clustering

In this paper, we introduce a novel algorithm that unifies manifold embedding and clustering (UEC) which efficiently predicts clustering assignments of the high dimensional data points in a new embedding space. The algorithm is based on a bi-objective optimisation problem combining embedding and clustering loss functions. Such original formulation will allow to simultaneously preserve the original structure of the data in the embedding space and produce better clustering assignments. The experimental results using a number of real-world datasets show that UEC is competitive with the state-of-art clustering methods.

Advances In The Modeling And Dynamic Simulation of Reeving Systems Using The Arbitrary Lagrangian-Eulerian Modal Method

This paper presents new advances in the arbitrary Lagrangian-Eulerian modal method (ALEM) recently developed for the systematic simulation of the dynamics of general reeving systems. These advances are related to a more convenient model of the sheaves dynamics and the use of axial deformation modes to account for non-constant axial forces within the finite elements. Regarding the sheaves dynamics, the original formulation uses kinematic constraints to account for the torque transmission at the sheaves by neglecting the rotary inertia. One of the advances described in this paper is the use of the rotation angles of the sheaves as generalized coordinates together with the rope-to-sheave no-slip assumption as linear constraint equations. This modeling option guarantees the exact torque balance the sheave without including any non-linear kinematic constraint. Numerical results show the influence in the system dynamics of the sheave rotary inertia. Regarding the axial forces within the finite elements, the original formulation uses a combination of absolute position coordinates and transverse local modal coordinates to account for the rope absolute position and deformation shape. The axial force, which only depends on the absolute position coordinates, is constant along the element because linear shape functions are assumed to describe the axial displacements. For reeving systems with very long rope spans, as the elevators of high buildings, the constant axial force is inaccurate because the weight of the ropes becomes important and the axial force varies approximately linearly within the rope free span. To account for space-varying axial forces, this paper also introduces modal coordinates in the axial direction. Numerical results show that a set of three modal coordinates in the axial direction is enough to simulate linearly varying axial forces.

Centrifugal and Centripetal Thinking About the Biopsychosocial Model in Psychiatry

The biopsychosocial model, which was deeply influential on psychiatry following its introduction by George L. Engel in 1977, has recently made a comeback. Derek Bolton and Grant Gillett have argued that Engel’s original formulation offered a promising general framework for thinking about health and disease, but that this promise requires new empirical and philosophical tools in order to be realized. In particular, Bolton and Gillett offer an original analysis of the ontological relations between Engel’s biological, social, and psychological levels of analysis. I argue that Bolton and Gillett’s updated model, while providing an intriguing new metaphysical framework for medicine, cannot resolve some of the most vexing problems facing psychiatry, which have to do with how to prioritize different sorts of research. These problems are fundamentally ethical, rather than ontological. Without the right prudential motivation, in other words, the unification of psychiatry under a single conceptual framework seems doubtful, no matter how compelling the model. An updated biopsychosocial model should include explicit normative commitments about the aims of medicine that can give guidance about the sorts of causal connections to be prioritized as research and clinical targets.

Assembly method in GIS INTEGRO and its usage for solving of gravitational inverse problem

Various methods based on growing bodies are lately gaining attention in a context of inverse gravity problem that we call a family of “assembly methods”. A variant of method was adopted for GIS INTEGRO in original formulation that is fit for the problem of multiple bodies incorporated in an environment of varying density, in absolute densities (not density contrasts) that are however have to be a priori specified. Such formulation allowed the implementation of the method that is suitable for territory modeling in the regional scale. To workaround method’s instability a number of changes are proposed that consist of introduction of priority on atomic modifications, modification queue and assessment of model evolution instead of just the final result. The developed software allows processing of large grids (tens of millions of tiling elements) even on 5–8 year old desktops. Based on method approbation experience some insights and practice methods are presented. An application example is presented as part of work on modeling of Enisei-Khatanga regional depression territory.