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Copyright of Revista de Filosofía UIS is the property of Universidad Industrial de Santander and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

We present a priori estimates and unique solvability results in the mixed-norm Lebesgue spaces for the kinetic Kolmogorov-Fokker-Planck (KFP) equation in divergence form. The leading coefficients are bounded uniformly nondegenerate with respect to the velocity variable v and satisfy a vanishing mean oscillation (VMO) type condition. We consider the L2 case separately and treat more general equations, which include the relativistic KFP equation. This paper is a continuation of our previous work on Lp estimates for KFP equations in nondivergence form. [ABSTRACT FROM AUTHOR]

One of Kripke's innovations concerning the philosophy of language is the doctrine that the truth of some metaphysically necessary propositions is only known a posteriori. The typical example he gives is the identity statement consists of two different proper names that refer to the same referent, like "Hesperus = Phosphorus". By metaphysically necessary he means that the proposition is true in all possible worlds and by a posteriori knowledge he means that its truth is known by experiment or investigation. Some philosophers have given arguments against Kripke's doctrine and claimed that such propositions can, also, be known a priori. In this paper, I will defend Kripke's view by showing that his approach to the issue is linguistic not metaphysical, opposite to his critics. [ABSTRACT FROM AUTHOR]

Peirce and Dewey were generally more concerned with the process of scientific activity than purely mathematical work. However, their accounts of knowledge production afford some insights into the epistemology of mathematical postulates, especially definition and axioms. Their rejection of rationalist metaphysics and their emphasis on continuity in inquiry provides the pretext for the pragmatic a priori - hypothetical and operational assumptions whose justification relies on their fruitfulness in the long run. This paper focuses on the application of this idea to the epistemology of definitions and an account of progress in mathematics, although it has broader implications for the study of conceptual change and the function and basis of presuppositions in the sciences. [ABSTRACT FROM AUTHOR]

In this paper, we provide some results pertaining to asymptotic behaviour as ε → 0 of the finite-energy sequences of the one-dimensional Cahn-Hilliard functional ... where u ∊ H1(0, 1), and where W is a multi-well potential endowed with a non-standard integrability condition. We introduce a new class of finite-energy sequences, recover its underlying geometric properties as ε → 0, and obtain the related a priori estimates. [ABSTRACT FROM AUTHOR]

Copyright of Runa: Archivo para las Ciencias del Hombre is the property of Runa: Archivo para las Ciencias del Hombre and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a quasilinear elliptic problem on a much coarser grid, and the solution of a linear system on the fine grid. A priori error estimate in H1 norm is derived. Numerical experiments are carried out to illustrate the theoretical findings. [ABSTRACT FROM AUTHOR]

At the turn of the twentieth century, Helm and Ostwald were the most prominent supporters of so-called 'energetics', which aimed to unify all physics by employing the sole concept of energy, without relying on mechanical models. This paper argues that Cassirer's interest in the history of the energy principle and the energetic controversy is entangled with the main themes of his philosophy of physics up to the 1920s: the opposition between the a priori and the a posteriori and the substance-concept and the function-concept. These interwoven motifs are not always easy to disentangle. The paper suggests that Cassirer's interpretation of the energy principle can serve as a guiding thread that runs through Cassirer's philosophy of physics up to the 1920s. [ABSTRACT FROM AUTHOR]

We study the stabilization and the wellposedness of solutions of the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation. The novelty of this paper is that we deal with the difficulty that the main equation does not have good nonlinear structure amenable to a direct proof of a priori bounds and a desirable observability inequality. It is well known that observability inequalities play a critical role in characterizing the long time behaviour of solutions of evolution equations, which is the main goal of this study. In order to address this, we truncate the nonlinearities, and thereby construct approximate solutions for which it is possible to obtain a priori bounds and prove the essential observability inequality. The treatment of these approximate solutions is still a challenging task and requires the use of Strichartz estimates and some microlocal analysis tools such as microlocal defect measures. We include an appendix on the latter topic here to make the article self contained and supplement details to proofs of some of the theorems which can be already be found in the lecture notes of Burq and Gérard (http://www.math.u-psud.fr/~burq/articles/coursX.pdf, 2001). Once we establish essential observability properties for the approximate solutions, it is not difficult to prove that the solution of the original problem also possesses a similar feature via a delicate passage to limit. In the last part of the paper, we establish various decay rate estimates for different growth conditions on the nonlinear dissipative effect. We in particular generalize the known results on the subject to a considerably larger class of dissipative effects. [ABSTRACT FROM AUTHOR]

In this paper, we study the full parabolic attraction–repulsion Keller–Segel model with a fractional diffusion in ℝn$$ {\mathbb{R}}^n $$ for n=2$$ n=2 $$ or 3. We are more interested in the question that whether the solutions exist globally or blow up in finite time, which was studied in the classical attraction‐repulsion Keller‐Segel model by Jin and Wang (J. Differential Equations, 2016) through constructing a suitable energy functional. However, for the fractional attraction–repulsion Keller–Segel model, it is challenging to find a similar energy functional to study the existence of the solutions. In the present paper, under the condition of ξγ=χα$$ \xi \gamma =\chi \alpha $$, we introduce the Lp$$ {L}_p $$‐ Lq$$ {L}_q $$ estimates of the fractional derivative modulus of the solution to carry out the first step of the problem. Armed with a priori estimate, it is sufficient for us to obtain the global existence of the solutions by the Moser–Alikakos iterative method and finally arrive at the decay estimates of the solutions. [ABSTRACT FROM AUTHOR]

In Wittgenstein's manuscripts dating from 1929 and 1930, there are a number of entries on the notion of probability. In this paper, I explore Wittgenstein's manuscripts between October 1929 and March 1930 and demonstrate, first, that Wittgenstein completely rejects the assumption that probability statements are based on an a priori principle. Second, I argue that the standard interpretation, which claims that Wittgenstein adopts an 'epistemological view' of probability, significantly understates the importance of Wittgenstein's development of the notion of hypotheses as a philosophical term of art. [ABSTRACT FROM AUTHOR]

Epiphenomenalism is the thesis that though physical events may cause mental events, those mental events never cause physical events. In this paper, I will be concerned with the claim that our thoughts, intentions, and awareness play no causal role in producing actions. Though epiphenomenalism has been defended with a priori philosophical arguments, the majority of the support that it has gained in recent years has come from advances in neuroscience. At the center of these experiments is the Libet paradigm that aims to show that our actions are initiated by unconscious brain processes prior to our awareness of the intention or decision to perform the corresponding actions. It has been widely suggested that these studies support the view that consciousness is epiphenomenal, and if Libet-style experiments support this conclusion, the results have direct implications for free will. I argue by way of a dilemma that any study that relies on reports of subjects' awareness in its methodology cannot be used to support epiphenomenalism because the experimenters would have to rule out the possibility that consciousness plays a causal role in order to do so. [ABSTRACT FROM AUTHOR]

This paper studies adaptive least-squares finite element methods for convection-dominated diffusion-reaction problems. The least-squares methods are based on the first-order system of the primal and dual variables with various ways of imposing outflow boundary conditions. The coercivity of the homogeneous least-squares functionals are established, and the a priori error estimates of the least-squares methods are obtained in a norm that incorporates the streamline derivative. All methods have the same convergence rate provided that meshes in the layer regions are fine enough. To increase computational accuracy and reduce computational cost, adaptive least-squares methods are implemented and numerical results are presented for some test problems. [ABSTRACT FROM AUTHOR]

This paper investigates the Cauchy problems for a hyperbolic Monge–Ampère equation which can be reduced to a quasilinear hyperbolic system via Riemannian invariants. Based on the first a priori estimate of the solutions, the second a priori estimate of the derivation of the solutions, and the third a priori estimate of the continuous mould of the first‐order partial derivatives of the solutions to quasilinear hyperbolic system, a lower bound estimate of classical solutions to the Cauchy problems for a hyperbolic Monge–Ampère equation is derived. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the asymptotic behavior for the non-autonomous stochastic p-Laplacian equations with dynamic boundary conditions via the stationary Wong–Zakai approximations given by the Wiener shift. We first establish the existence and uniqueness of pullback random attractor for the Wong–Zakai approximation equations in L2(풪) × L2(Γ). Then we prove the upper semi-continuity of random attractors in Lq1(풪) × Lq1(Γ) and Ll(풪) × Ll(Γ)(∀l > q 1) when the step size of approximations approaches zero. [ABSTRACT FROM AUTHOR]

In recent years, the vigorous development of e-commerce has also greatly promoted the development of the fashion multimedia field. Fashion compatibility modeling plays a very important role in a series of applications, such as fashion retrieval and personalized recommendation. Because fashion compatibility prediction usually contains multiple modal information, in this paper, we present a type-aware fashion compatibility prediction model based on a hybrid attention mechanism that is centered on using a priori category information for the fusion of multimodal information. Specifically, the model first designs a hybrid attention mechanism to fully explore the inner dependency of the visual modality while enriching with textual modalities to obtain a joint feature representation of multimodal information. Furthermore, the model matches fashion items as a distance measurement problem, and the joint feature representation of multimodal information realizes type-aware characteristics by the design of a distance measurement function with category-aware embedding. The experimental results obtained on the publicly available Polyvore and Polyvore-D datasets demonstrate the effectiveness of the model. [ABSTRACT FROM AUTHOR]

This paper presents a non‐coupled structure of characteristic compensation dual‐channel observer (CCDCO) for handling systems subjected to composite disturbances. There exist an outer disturbance compensation channel (ODCC) and an inner disturbance compensation channel (IDCC) in the design strategy. Specifically, in the ODCC, the proposed frequency characteristic compensation observer (FCCO) extracts and removes the regular periodic components from the composite disturbances, where the estimation error preserves irregular characteristics. Thus, the estimation error of FCCO and irregular parts are treated as lumped terms estimated via compensation function observer (CFO) in the IDCC. As a solving skill for composite disturbances estimation, CCDCO has two important advantages over previous designs. First, the proposed non‐coupled structure explicitly distinguishes disturbance characteristics according to a priori information known or not. Second, by combining the benefits of the CFO and proposed FCCO, different types of disturbances can be estimated accordingly without coupling of each other. Simulation results on the robotic manipulator are provided to validate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

The Ciarlet–Raviart mixed method is popular for the biharmonic equations/eigenvalue problem. In this paper, we propose a multigrid discretization based on the shifted‐inverse iteration of Ciarlet–Raviart mixed discontinuous Galerkin method for the biharmonic eigenvalue problem. We prove the a priori error estimates of the approximate eigenpairs. We also give the a posteriori error estimates of the approximate eigenvalues and prove the reliability of the estimator and implement adaptive computation. Numerical experiments show that our method can efficiently compute biharmonic eigenvalues. [ABSTRACT FROM AUTHOR]

The considerable interest in the recent literature for nonlocal equations and their applications to a wide range of scientific problems does not appear to be supported by a corresponding advancement in the efforts toward reliable numerical techniques for their solution. The aim of this paper is to provide such an algorithm and above all to prove its high order convergence. The numerical scheme is applied to a diffusion problem in a biological context, arising in population theory. Several simulations are carried out. At first the empirical order of convergence on examples with known solution is assessed. Their results are in agreement with the theoretical findings. Simulations are then extended to cases for which the solution is not known a priori. Also in this case the outcomes support the convergence analysis. [ABSTRACT FROM AUTHOR]

In this paper, we study the mixed virtual element approximation to an elliptic optimal control problem with boundary observations. The objective functional of this type of optimal control problem contains the outward normal derivatives of the state variable on the boundary, which reduces the regularity of solutions to the optimal control problems. We construct the mixed virtual element discrete scheme and derive an a priori error estimate for the optimal control problem based on the variational discretization for the control variable. Numerical experiments are carried out on different meshes to support our theoretical findings. [ABSTRACT FROM AUTHOR]

A family of allocation rules for cooperative games with a priori unions is introduced in this paper. These allocation rules, which will be called rough Shapley values, are extensions of the well-known Shapley value for classical cooperative games. The family of rough Shapley values, which is constructed by using rough sets to describe different cooperative options, includes several of the extensions of the Shapley value found in the literature. We prove that the rough Shapley values are the allocation rules for games with a priori unions that satisfy some reasonable properties. [ABSTRACT FROM AUTHOR]

In this paper, we explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced in (Otto et al. in A priori bounds for quasi-linear SPDEs in the full sub-critical regime, 2021, arXiv:2103.11039) and algebraically characterized in (Linares et al. in Comm. Am. Math. Soc. 3:1–64, 2023). More precisely, we construct and stochastically estimate the renormalized model postulated in (Otto et al. in A priori bounds for quasi-linear SPDEs in the full sub-critical regime, 2021, arXiv:2103.11039), avoiding the use of Feynman diagrams but still in a fully automated, i. e. inductive way. This is carried out for a class of quasi-linear parabolic PDEs driven by noise in the full singular but renormalizable range. We assume a spectral gap inequality on the (not necessarily Gaussian) noise ensemble. The resulting control on the variance of the model naturally complements its vanishing expectation arising from the BPHZ-choice of renormalization. We capture the gain in regularity on the level of the Malliavin derivative of the model by describing it as a modelled distribution. Symmetry is an important guiding principle and built-in on the level of the renormalization Ansatz. Our approach is analytic and top-down rather than combinatorial and bottom-up. [ABSTRACT FROM AUTHOR]

Copyright of Kant-Studien is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The exploration of some dangerous or important small-scale magnetic objects requires accurate three-dimensional inversion results. In this paper, a three-dimensional inversion method for small-scale magnetic objects is proposed. Normalized magnetic source strength, which is weakly sensitive to the magnetization direction, is used for inversion, which avoids the influence of the remanence of magnetic objects. The planted inversion method is improved to make the inversion results more similar to the real results; normalized magnetic source strength is used to estimate the center position of the magnetic objects, which provides a priori information for the inversion; the weighting function is added in the inversion process to improve the inversion accuracy. The simulation and experimental results show that the method is not affected by the remanence, and effectively reduces the interference of non-target field sources. The obtained inversion results have higher accuracy. [ABSTRACT FROM AUTHOR]

In this paper, we investigate a two-species competitive quasi-linear Lotka-Volterra system equipped with a free boundary. A priori estimates of the H¨older norms are established. The global existence and uniqueness of classical solutions are established, and then the asymptotic behavior of the solutions is described. [ABSTRACT FROM AUTHOR]

Copyright of Methaodos: Social Science Journal / Methaodos: Revista de Ciencias Sociales is the property of Departamento de Ciencias de la Comunicacion y Sociologia, Universidad Rey Juan Carlos and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In the 1787 Transcendental Deduction of the Categories Kant indicates the only possible ways by which one can account for a necessary agreement of experience with the concepts of its objects (B166), using analogies between modes of explanation and biological theories about the origin of life. He endorses epigenesis as a model for his system of pure reason (B167). This paper examines various interpretive claims about the meaning of this theory of generation and its significance for Kant's philosophy (Section 1), showing that, after his Critical shift in perspective, in 1775/77 Kant already combined preformed elements and their purposively oriented formation by natural forces (Section 2). Contrary to the standard view, Kant's theory of race appears to constitute the background to assess Blumenbach's later (1799/1781) shift to epigenesis after supporting Haller's preformism (Section 3). In Section 4, I argue that the ground of affinity between epigenesis and formal idealism rests in tracing the first origin of these conformities: external a posteriori climate conditions and predisposed germs and dispositions within the generative power of the human body; and external a posteriori experience and spontaneous a priori concepts of its objects, within pure sensory intuiting and pure thinking. In both cases the external empirical conditions would function as occasioning propelling factors affecting internal pre-established forms of generation. [ABSTRACT FROM AUTHOR]

In this paper we study the convergence rate of a finite volume approximation of the compressible Navier–Stokes–Fourier system. To this end we first show the local existence of a regular unique strong solution and analyse its global extension in time as far as the density and temperature remain bounded. We make a physically reasonable assumption that the numerical density and temperature are uniformly bounded from above and below. The relative energy provides us an elegant way to derive a priori error estimates between finite volume solutions and the strong solution. [ABSTRACT FROM AUTHOR]

In this paper we present new embedding results for Musielak–Orlicz Sobolev spaces of double phase type. Based on the continuous embedding of W 1 , H (Ω) into L H ∗ (Ω) , where H ∗ is the Sobolev conjugate function of H , we present much stronger embeddings as known in the literature. Based on these results, we consider generalized double phase problems involving such new type of growth with Dirichlet and nonlinear boundary condition and prove appropriate boundedness results of corresponding weak solutions based on the De Giorgi iteration along with localization arguments. [ABSTRACT FROM AUTHOR]

This paper is devoted to the analysis of an energy-stable discontinuous Galerkin algorithm for solving the Cahn-Hilliard-Navier-Stokes equations within a decoupled splitting framework. We show that the proposed scheme is uniquely solvable and mass conservative. The energy dissipation and the L∞ stability of the order parameter are obtained under a CFL-like constraint. Optimal a priori error estimates in the broken gradient norm and in the L² norm are derived. The stability proofs and error analysis are based on induction arguments and do not require any regularization of the potential function. [ABSTRACT FROM AUTHOR]

Subspace-based methods are very effective to estimate the direction of arrival (DOA) of sources with a high accuracy. In this paper, a method is proposed to estimate DOA of coherent signals without a priori knowledge of the source number, which is also suitable for independent or partly correlated sources, making the family of subspace-based methods more practical. The low-complexity autocovariance matrix is considered, and the spatial smoothing technique will be adopted to restore the column rank. In the case that the source number is unknown, the noise effect is eliminated with a specific noise estimation for coherent signals. A method combining the source number estimation and source localization is firstly presented. The corresponding analysis is given, and the weakness is shown. Then, another method is introduced to overcome the weakness, in which an improved propagator can be constructed to estimate the DOAs without the source number. The effectiveness is evaluated through simulations. [ABSTRACT FROM AUTHOR]

This-36pt paper considers a discontinuous Galerkin finite element method for the 2D transient and incompressible Navier-Stokes model. Following the analysis of Heywood and Rannacher (SIAM J. Numer. Anal. 19:275–311, 1982), we derive optimal velocity and pressure error estimates in L ∞ (L 2) and L ∞ (L 2) -norms, respectively, for the discontinuous Galerkin case. We use standard L 2 -projection and modified Stokes operator but on appropriate broken Sobolev spaces, and then standard duality arguments to achieve these results. For sufficiently small data, uniform in time estimates are proved. Based on the backward Euler method, time discretization is carried out and fully discrete error estimates are derived. Finally, numerical experiments are conducted to verify our theoretical findings. [ABSTRACT FROM AUTHOR]

We consider Nitsche's method for solving elliptic Dirichlet boundary control problems on curved domains with control constraints. By using Nitsche's method for the treatment of inhomogeneous Dirichlet boundary conditions, the L2 boundary control enters in the variational formulation in a natural sense. The idea was first used in Chang, et al. (Math. Anal. Appl.453, 529–557 2017) where the curved boundary was approximated by a broken line and a locally defined mapping was needed to obtain the numerical control on the curved boundary. In this paper, we develop a method defined on curved domains directly. We derive a priori estimates of quasi-optimal order for the control in the L2 norm, and quasi-optimal order for the state and adjoint state in energy norms. Numerical examples are provided to show the performance of the proposed method. [ABSTRACT FROM AUTHOR]

We consider the Neumann-type problem of the heat equation in a moving thin domain around a given closed moving hypersurface. The main result of this paper is an error estimate in the sup-norm for classical solutions to the thin domain problem and a limit equation on the moving hypersurface which appears in the thin-film limit of the heat equation. To prove the error estimate, we show a uniform a priori estimate for a classical solution to the thin domain problem based on the maximum principle. Moreover, we construct a suitable approximate solution to the thin domain problem from a classical solution to the limit equation based on an asymptotic expansion of the thin domain problem and apply the uniform a priori estimate to the difference of the approximate solution and a classical solution to the thin domain problem. [ABSTRACT FROM AUTHOR]

In this paper, we investigate a two-species predator-prey system with a free boundary. The a priori estimates of the H¨older norms are established. On the basis of these estimates, the global existence and uniqueness of the solution are proved. [ABSTRACT FROM AUTHOR]

One of the interesting types of spatio-temporal patterns is the Mixed-Drove Co-occurrence Pattern (MDCOP), which represents types of objects frequently located together in both space and time. To discover such patterns, methods based on the well-known Apriori strategy are widely used. They involve determining multi-element MDCOPs by building them up iteratively starting with the two-element patterns and then successively adding another element in each iteration. This approach can be very costly, particularly when the data is dense enough to form patterns of significant size. In this paper, we introduce a definition of a new pattern type called a Maximal Mixed-Drove Co-occurrence Pattern. We also propose a new algorithm MAXMDCOP-Miner, which resigns from popular Apriori strategy of generating candidates and, therefore, can discover long pattern without processing all their subsets. Experiments performed on synthetic and real datasets show that MAXMDCOP-Miner has high performance, in particular for dense datasets or tasks with low user-defined thresholds of spatial or time prevalence. [ABSTRACT FROM AUTHOR]

Modern neural networks addressing dense Non-Rigid Structure from Motion (NRSFM) dilemmas often grapple with intricate a priori constraints, deterring scalability, or overlook the imperative of consistent application of a priori knowledge throughout the entire input sequence. In this paper, an innovative neural network architecture is introduced. Initially, the complete 2D sequence image undergoes embedding into a low-dimensional space. Subsequently, multiple self-attention layers are employed to extract inter-frame features, with the objective of deriving a more continuous and temporally smooth low-dimensional structure closely resembling real data's intrinsic structure. Moreover, it has been demonstrated by others that gradient descent during the training of multilayer linear networks yields minimum rank solutions, implicitly providing regularization that is equally applicable to this task. Benefiting from the excellence of the proposed network architecture, no additional a priori knowledge is mandated, barring the constraint of temporal smoothness. Extensive experimentation confirms the method's exceptional performance in addressing dense NRSFM challenges, outperforming recent results across various dense benchmark datasets. [ABSTRACT FROM AUTHOR]

Copyright of Revista Alea: Estudos Neolatinos is the property of Programa da Pos-Graduacao em Letras Neolatinas Fac de Letras - UFRJ and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Revus: Journal for Constitutional Theory & Philosophy of Law is the property of Revus - European Constitutionality Review and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Pós: Revista do Programa de POS-Graduacao Em Artes - EBA/UFMG is the property of Pos - Programa de Pos-graduacao em Artes (PPG-Artes) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Groundwater is a vital source of water for humanity, with up to 50% of global drinking water and 43% of irrigation water being derived from such sources. Quantitative assessment and accounting of groundwater is essential to ensure its sustainable management and use. TopNet-GW is a parsimonious groundwater model that was developed to provide groundwater simulation at national, regional, and local scales across New Zealand. At a national scale, the model can help local government authorities estimate groundwater resource reliability within and between regions. However, as many catchments are ungauged, the model cannot be calibrated to local conditions against observed data. This paper, therefore, describes a method to derive an a priori, reach-scale groundwater model parameter set from national-scale hydrogeological datasets. The parameter set includes coefficients of lateral (kl) and vertical (kr) conductivity and effective aquifer storage (S). When the parameter set was used with the TopNet-GW model in the Wairau catchment in the Marlborough region (South Island, New Zealand), it produced a poor representation of peak river flows but a more accurate representation of low flows (overall NSE 0.64). The model performance decreased in the smaller Opawa catchment (NSE 0.39). It is concluded that the developed a priori parameter set can be used to provide national groundwater modeling capability in ungauged catchments but should be used with caution, and model performance would benefit greatly from local scale calibration. The parameter derivation method is repeatable globally if analogous hydrological and geological information is available and thus provides a basis for the parameterization of groundwater models in ungauged catchments. Future research will assess the spatial variability of parameter performance at a national scale in New Zealand. [ABSTRACT FROM AUTHOR]

This paper addresses the problem of distributed secure state estimation of a discrete‐time linear dynamical system in an adversarial environment. Much of the recent work on this problem has imposed redundancy requirements on measurement and communication networks for state estimation in the presence of attacks. In this paper, the authors aim to relax this redundancy requirement by using prior information about the state to be estimated. A scenario where sparsity information of the state is given is especially considered, and it is shown that the a priori sparsity information alleviates the redundancy requirement. An algorithm for distributed secure state estimation is then derived and a sufficient condition on the convergence of the algorithm is given. Numerical simulations finally illustrate the effectiveness of the algorithm. [ABSTRACT FROM AUTHOR]

The Kehre (turn) in Heidegger’s thought has been greatly discussed and debated. The introduction of the notion of metontology (Metontologie) in 1927 has fruitfully informed this debate since it entails a concern for the ontic domain on the part of Heidegger that is not present in earlier works. The fact that this notion disappears right after being introduced, however, challenges its contribution to this debate. In this paper, I show that the disappearance of metontology does not imply the disappearance of Heidegger’s concern for the ontic, but the opposite. I will begin by presenting Freeman’s view of a tension between the ontic and the ontological in Heidegger’s thought in the mid-to-late 20s that results in the introduction of metontology in 1927. Later on, I will show that McNeill’s explanation of the disappearance of metontology as a consequence of Heidegger’s mid-30s view that the a priori projection of being is a withdrawal of being (Entzug des Seins), allows saying that this disappearance does not entail Heidegger’s sudden lack of concern for the ontic. By considering Heidegger’s analysis of ‘the mathematical’ in Die Frage nach dem Ding, I will finally argue that metontology disappears from Heidegger’s thought because its dependency upon ontology prevents it to account for his increasing concern for the ontic properly. [ABSTRACT FROM AUTHOR]

In this paper we consider the problem ... where Ω is an open bounded set of RN (N ≥ 3), A(x) is a coercive matrix with coefficients in L∞(Ω), H(x, s,ξ) is a Carath'eodory function which satisfies for a given γ > 0 and some c0 ≥ 0 ... The nonnegative term a0 belongs to LN/2(Ω), χ{u̸=0} is caracteristic function, f belongs to LN/2(Ω) and 0 < θ < 1. For f and a0 sufficiently small (and more precisely when f and a0 satisfy the smallness condition (2.11)), we prove the existence of at least one solution u such that eδ|u|-1 belongs to H¹0 (Ω) for some δ ≥ γ. Some a priori estimates are obtained. [ABSTRACT FROM AUTHOR]

The measurement of spatial dependence within a set of observations or the residuals from a regression is one of the most common operations within spatial analysis. However, there appears to be a lack of appreciation for the fact that these measurements are generally based on an a priori definition of a spatial weights matrix and hence are limited to detecting spatial dependence at a single spatial scale. This paper highlights the scale-dependence problem with current measures of spatial dependence and defines a new, multi-scale approach to defining a spatial weights matrix based on a discrete Fourier transform. This approach is shown to be able to detect statistically significant spatial dependence which other multi-scale approaches to measuring spatial dependence cannot. The paper thus serves as a warning not to rely on traditional measures of spatial dependence and offers a more comprehensive, and scale-free, approach to measuring such dependence. [ABSTRACT FROM AUTHOR]

This paper is concerned with the inverse problem of determining the initial value of the distributed‐order time‐fractional diffusion equation from the final time observation data, which arises in some ultra‐slow diffusion phenomena in applied areas. Since the problem is ill‐posed, we propose an iterated regularization method based on the Nesterov acceleration strategy to deal with it. Convergence rates for the regularized approximation solution are given under both the a priori and a posteriori regularization parameter choice rules. It is shown that the proposed method can always yield the order optimal convergence rates as long as the iteration parameter which appears in the Nesterov acceleration strategy is chosen large enough. In numerical aspect, the main advantage of the proposed method lies in its simplicity. Specifically, due to the Nesterov acceleration strategy, only a few number of iteration steps are required to obtain the approximation solution, and at each iteration step, we only need to numerically solve the standard initial‐boundary value problem for the distributed‐order time‐fractional diffusion equation. Some numerical examples including one‐dimensional and two‐dimensional cases are presented to illustrate the validity and effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Most of the existing topic models are based on the Latent Dirichlet Allocation (LDA) or the variational autoencoder (VAE), but these methods have inherent flaws. The a priori assumptions of LDA on documents may not match the actual distribution of the data, and VAE suffers from information loss during the mapping and reconstruction process, which tends to affect the effectiveness of topic modeling. To this end, we propose a Prompt Topic Model (PTM) utilizing prompt learning for topic modeling, which circumvents the structural limitations of LDA and VAE, thereby overcoming the deficiencies of traditional topic models. Additionally, we develop a prompt word selection method that enhances PTM's efficiency in performing the topic modeling task. Experimental results demonstrate that the PTM surpasses traditional topic models on three public datasets. Ablation experiments further validate that our proposed prompt word selection method enhances the PTM's effectiveness in topic modeling. [ABSTRACT FROM AUTHOR]

A systematic definition of an aircraft generator's "available power" (used to supply loads on its DC bus) is given, which is defined in the context of constraints on transient and steady‐state performance. Using a geometric, data‐driven approach, such a characterisation has been achieved, and a new method, called Power availablE Estimation Tool (PEET), has been developed to determine in real‐time whether a given load can be fulfilled at a given time while maintaining power quality. This is an important problem, especially for safety critical electrical systems such as more electric aircraft, for which it is imperative to know a priori whether an added load will result in voltage variations outside of allowed values. PEET is introduced and its conceptual framework is formalised. Lastly, it provides simulation results that illustrate its performance. The results show that the PEET method produces reliable a priori estimates of power availability, and that this can be achieved within time frames that make it applicable in a real‐time implementation. [ABSTRACT FROM AUTHOR]