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Let G be a locally compact group. In this short note, we study the space of pseudofunctions, denoted P F Φ (G) , associated with the Orlicz space L Φ (G) , where Φ is a Young function satisfying the Δ 2 -condition. We show that the dual of P F Φ (G) is a commutative Banach algebra. We also study the space of multipliers from the Orlicz Figà–Talamanca Herz algebra A Φ (G) (introduced by the authors in Indag Math 30:340–354, 2019) to the dual of P M Ψ (G) and use it to show that the space of bounded multipliers of A Φ (G) is a dual space. Finally, we characterize the disjointness preserving mappings between two Orlicz Figà–Talamanca Herz algebras. [ABSTRACT FROM AUTHOR]

A self-consistent procedure for constructing a quasidiabatic Hamiltonian representing Nstate coupled electronic states in the vicinity of an arbitrary point in nuclear coordinate space is described. The matrix elements of the Hamiltonian are polynomials of arbitrary order. Employing a crude adiabatic basis, the coefficients of the linear terms are determined exactly using analytic gradient techniques. The remaining polynomial coefficients are determined from the normal form of a system of pseudolinear equations, which uses energy gradient and derivative coupling information obtained from reliable multireference configuration interaction wave functions. In a previous implementation energy gradient and derivative coupling information were employed to limit the number of nuclear configurations at which ab initio data were required to determine the unknown coefficients. Conversely, the key aspect of the current approach is the use of ab initio data over an extended range of nuclear configurations. The normal form of the system of pseudolinear equations is introduced here to obtain a least-squares fit to what would have been an (intractable) overcomplete set of data in the previous approach. This method provides a quasidiabatic representation that minimizes the residual derivative coupling in a least-squares sense, a means to extend the domain of accuracy of the diabatic Hamiltonian or refine its accuracy within a given domain, and a way to impose point group symmetry and hermiticity. These attributes are illustrated using the 1 2A1 and 1 2E states of the 1-propynyl radical, CH3CC. [ABSTRACT FROM AUTHOR]

Reports on the formulation of pseudo-ensemble simulations and Gibbs-Duhem integrations within the framework of the expanded grand canonical ensemble. Mechanical equilibration achieved by the method faster than both conventional volume moves and canonical simulation of the chemical potential; Coexistence curves for pure homopolymers and polymer mixtures.

LetRbe a ring with involution. In this paper, we introduce a new type of generalized inverse called pseudo core inverse inR. The notion of core inverse was introduced by Baksalary and Trenkler for matrices of index 1 in 2010 and then it was generalized to an arbitrary ∗-ring case by Rakić, Dinčić and Djordjević in 2014. Our definition of pseudo core inverse extends the notion of core inverse to elements of an arbitrary index inR. Meanwhile, it generalizes the notion of core-EP inverse, introduced by Manjunatha Prasad and Mohana for matrices in 2014, to the case of ∗-ring. Some equivalent characterizations for elements inRto be pseudo core invertible are given and expressions are presented especially in terms of Drazin inverse and {1,3}-inverse. Then, we investigate the relationship between pseudo core inverse and other generalized inverses. Further, we establish several properties of the pseudo core inverse. Finally, the computations for pseudo core inverses of matrices are exhibited. [ABSTRACT FROM AUTHOR]

The paper presents a method of instantaneous construction of relative permeability pseudo functions in analytical form upscaled to a coarser computational grid using a system of artificial neural networks. The coefficients of these functions can be forecasted by the neural network. The learning dataset is based on a preliminary series of calculations at the reference values of the system parameters the exponents of the initial functions, the liquid phases viscosity ratio, the statistical parameters of distribution laws of the reservoir's properties. The latter may be obtained according to the primary well logging data with no need for building a detailed geological model. [ABSTRACT FROM AUTHOR]

Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra. [ABSTRACT FROM AUTHOR]

The notion of reduced synthesis in the context of harmonic analysis on general locally compact groups is introduced; in the classical situation of commutative groups, this notion means that a function f in the Fourier algebra is annihilated by any pseudofunction supported on f (0). A relationship between reduced synthesis and compact synthesis (i.e., the possibility of approximating compact operators by pseudointegral ones without increasing the support) is determined, which makes it possible to obtain new results both in operator theory and in harmonic analysis. Applications to the theory of linear operator equations are also given. [ABSTRACT FROM AUTHOR]

An algebra A is said to be directly finite if each left-invertible element in the (conditional) unitization of A is right invertible. We show that the reduced group C*-algebra of a unimodular group is directly finite, extending known results for the discrete case. We also investigate the corresponding problem for algebras of p-pseudofunctions, showing that these algebras are directly finite if G is amenable and unimodular, or unimodular with the Kunze–Stein property. An exposition is also given of how existing results from the literature imply that L1(G) is not directly finite when G is the affine group of either the real or complex line. [ABSTRACT FROM AUTHOR]

Let $$S$$ be an inverse semigroup. The space of $$p$$ -pseudomeasures $$\mathop {\mathrm{PM}}_p(S)$$ , introduced in [], is characterized in terms of convolutors of $$l^p(S)$$ when $$S$$ is amenable with finitely many idempotents. Also, when $$\mathrm{A}(S)$$ has a bounded approximate identity with bound $$1$$ , the space of $$\mathrm{A}(S)$$ -multipliers from $$\mathop {\mathrm{VN}}(S)$$ into $$\mathop {\mathrm{VN}}(S)$$ is identified with the dual space of $$\mathop {\mathrm{UC}}(\hat{S})$$ , the closure of $$\mathrm{A}(S)\mathop {\mathrm{VN}}(S)$$ in $$\mathop {\mathrm{VN}}(S)$$ . Then it is shown that $$\mathop {\mathrm{UC}}(\hat{S})$$ is equal to the reduced C $$^*$$ -algebra of $$S$$ . Further, the space of $$p$$ -pseudofunctions $$\mathop {\mathrm{PF}}_p(S)$$ and its dual space $$\mathop {\mathrm{W}}_p(S)$$ are introduced and some properties of them are given. [ABSTRACT FROM AUTHOR]

We present imaging findings of aberrant left gastric vein (ALGV)and associated pseudolesions and mimickers including metastases and focal nodular hyperplasia. ALGV is formed due to interrupted involution of anastomotic omental veins, and it can drain into left portal vein or segments II and III of the liver as third inflow. Focal fat, focal fat sparing, and perfusion changes can be seen due to the presence of ALGV, which can mimic metastasis in cancer patients. ALGV may also serve as a pathway for direct tumor spread into the liver in patients with gastric cancer. Magnetic resonance imaging can be used as a problem solving tool in the presence of equivocal findings on ultrasonography and computed tomography. [ABSTRACT FROM AUTHOR]

Developmental dyslexia is a neurological disorder the underlying biological and cognitive causes of which are still being investigated, a key point, because the findings will determine the best therapeutic approach to use. Using functional magnetic resonance imaging, we studied the brain activation pattern while reading in the language-related cortical areas from the two reading routes, phonological and orthographic, and the strength of their association with reading scores in 66 Spanish-speaking children aged 9-12 years divided into three groups: typically developing readers (controls), dyslexic readers and readers with monocular vision due to ocular motility disorders but with normal reading development, to assess whether (or not) the neuronal network for reading in children with dyslexia has similarities with that in children with impaired binocular vision due to ocular motility disorders. We found that Spanish-speaking children with dyslexia have a brain circuit for reading that differs from that in children with monocular vision. Individuals with dyslexia tend to hypoactivate some of the language-related areas in the left hemisphere engaged by the phonological route, especially the visual word form area and left Wernicke's area, and try to compensate this deficit by activating language-related areas related to the orthographic route, such as the anterior part of the visual word form area and the posterior part of both middle temporal gyri. That is, they seem to compensate for impairment in the phonological route through orthographic routes of both hemispheres. Our results suggest that ocular motility disturbances do not play a causal role in dyslexia. Dyslexia seems to be a neurological disorder that is unrelated to vision impairments and requires early recognition and multidisciplinary treatment, based on improving phonological awareness and language development, to achieve the best possible outcome. [ABSTRACT FROM AUTHOR]

Approximately all of the petroleum reservoirs are heterogeneous, and this heterogeneity exists on all levels from pores to simulation models. Since reservoir data are available on different scales and each property does not measure at the individual level, scale-up must be used for acquiring properties of coarse grid models. One of the most important reservoir properties in multiphase upscaling is relative permeability. Pseudo functions are the main methods for upscaling of relative permeability. Kyte and Berry and transmissibility weighted pseudos are two kinds of dynamic pseudo functions. The Kyte and Berry method is based on Darcy's law and the transmissibility weighted pseudos concentrate on saturation effects rather than pressure effects and uses a transmissibility weighted average for calculation of pseudo relative permeabilities. In this work, the effects of directional inter-block pseudos and well pseudos were first investigated. Then the results of coarse grid simulation with directional transmissibility weighted pseudos and Kyte and Berry pseudos were compared with the reference fine grid results. [ABSTRACT FROM PUBLISHER]

Let f(x) be a smooth strictly convex solution of det(∂² f /∂xi∂xi) = exp {(1/2) Σi=1n xi (∂f /∂xi) - f} defined on a domain Ω ⊂ ℝn; then the graph M∇f of ∇f is a space-like self-shrinker of mean curvature flow in Pseudo-Euclidean space ℝn2n with the indefinite metric Σdxidyi. In this paper, we prove a Bernstein theorem for complete self-shrinkers. As a corollary, we obtain if the Lagrangian graph M∇f is complete in ℝn2n and passes through the origin then it is flat. [ABSTRACT FROM AUTHOR]

Partially functional broadside tests were defined to address the tradeoff that exists between fault coverage and proximity to functional operation conditions during the application of scan-based tests for delay faults. Proximity to functional operation conditions is important for avoiding overtesting. The definition of a partially functional broadside test does not take into consideration the extent of deviation from functional operation conditions that occurs during the second pattern of a test. The authors define two-dimensional partially functional broadside tests to address this issue. The authors demonstrate through experimental results that this improves the ability of the test to remain close to functional operation conditions during the application of both patterns. [ABSTRACT FROM AUTHOR]

semi-analytical method for upscaling two-phase immiscible flows in heterogeneous porous media is described. This method is developed for stratified reservoirs with perfect communication between layers (the case of vertical equilibrium), in a viscous dominant regime, where the effects of capillary forces and gravity may be neglected. The method is discussed on the example of its basic application: waterflooding in petroleum reservoirs. We apply asymptotic analysis to a system of two-dimensional (2D) mass conservation equations for incompressible fluids. For high anisotropy ratios, the pressure gradient in vertical direction may be set zero, which is the only assumption of our derivation. In this way, the 2D Buckley-Leverett problem may be reduced to a one-dimensional problem for a system of quasi-linear hyperbolic equations, of a number equal to the number of layers in the reservoir. They are solved numerically, based on an upstream finite difference algorithm. Self-similarity of the solution makes it possible to compute pseudofractional flow functions depending on the average saturation. The computer partial differential equation solver COMSOL is used for comparison of the complete 2D solutions with averaged 1D simulations. Cases of both discrete and continuous (log-normal) permeability distribution are studied. Generally, saturation profiles of the 1D model are only slightly different from the 2D simulation results. Recovery curves and fractional flow curves fit well. Calculations show that at a favorable mobility ratio (displaced to displacing phase) crossflow increases the recovery, while at an unfavorable mobility ratio, the effect is the opposite. Compared with the classical Hearn method, our method is more general and more precise, since it does not assume universal relative permeabilities and piston-like displacement, and it presumes non-zero exchange between layers. The method generalizes also the study of Yortsos (Transp Porous Media 18:107-129, ), taking into account in a more consistent way the interactions between the layers. [ABSTRACT FROM AUTHOR]

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Several multiscale methods for elliptic problems that provide high resolution velocity fields at low computational cost have been applied to porous media flow problems. However, to achieve enhanced accuracy in the flow simulation, the numerical scheme for modeling the transport must account for the fine scale structures in the velocity field. To solve the transport equation on the fine scale with conventional finite volume methods will often be prohibitively computationally expensive for routine simulations. In this paper we propose a more efficient adaptive multiscale method for solving the transport equation. In this method the global flow is computed on a coarse grid scale, while at the same time honoring the fine scale information in the velocity field. The method is tested on both two- and three-dimensional test cases with complex heterogeneous structures. The numerical results demonstrate that the adaptive multiscale method gives nearly the same flow characteristics as simulations where the transport equation is solved on the scale of an underlying fine grid. Some analysis is presented to estimate error sources and support our conclusions from the numerical results. [ABSTRACT FROM AUTHOR]

Recent research results have shown that the traditional structural testing for delay and signal integrity faults may result in overtesting due to the nontrivial number of such faults that are untestable in the functional mode although testable in the test mode. This paper presents a pseudofunctional-test methodology that attempts to minimize the overtesting problem of the scan-based circuits in automatic test pattern generation (ATPG) and built-in self-test (BIST) test generation approaches. The first pattern of a two-pattern test is still delivered by scan in the test mode but the pattern is generated in such a way that it does not violate the functional constraints extracted from the functional logic. The second pattern is then generated in a functional mode using the functional justification (also called broadside) test application scheme. The authors use a sequential boolean satisfiability solver to extract a set of functional constraints that consists of illegal states and internal signal correlation. The functional constraints are imposed upon an ATPG tool to generate pseudofunctional tests and/or implemented as a monitor in the BIST environment to allow only functional-like patterns generated from the random test pattern generator as tests. The experimental results for delay faults indicate that the percentage of functionally untestable delay faults is nontrivial for many circuits. This finding supports the hypothesis of the overtesting problem in delay testing. In addition, the results indicate the effectiveness of the proposed constraint extraction method and the proposed BIST scheme. [ABSTRACT FROM AUTHOR]

If the subset T supports a synthesizable p-pseudofunction T, then the restriction Ap(E) to E of the Herz algebra on T is not Arens regular. The proof is direct, by brute force, and does not show the existence of Day points for Ap(E). 2000 Mathematics Subject Classification 43A15, 43A10 (primary), 46L10 (secondary). [ABSTRACT FROM PUBLISHER]

Presents information on a simple proof of Ogawa's result on concrete construction of pseudorandom functions. Explanations on theorems; Construction of pseudorandom functions with symmetric stable asymptotic distribution; Derivation of equations.

The nonlinear complementarity problem (NCP) can be reformulated as a system of semismooth equations by some NCP functions. A well-known NCP function is the Fischer-Burmeister function, which is a strongly semismooth function. It is smooth everywhere except at the origin. The generalized Newton direction of the system of semismooth equations formulated with the Fischer-Burmeister function is always a descent direction at a nonsolution point. The generalized Jacobian of the system is nonsingular under mild conditions. Efficient algorithms have been developed based upon these nice properties. In this paper, we define a class of NCP functions, called regular pseudo-smooth NCP functions, and show that they have these nice properties. Regular pseudo-smooth NCP functions can be easily identified. They include the Fischer-Burmeister function, the Tseng-Luo NCP function family, and the Kanzow-Kleinmichel NCP function family. We give two new regular pseudo-smooth NCP function families: the ratio generated NCP function family and the C curve generated NCP function family. We then discuss the box constrained variational inequality problem (BVIP). We define a class of BVIP functions, called regular pseudo-smooth BVIP functions, and show that they have these nice properties too. We present three different approaches to generate regular pseudo-smooth BVIP functions from regular pseudo-smooth NCP functions. Globally and quadratically convergent generalized Newton methods are established for solving the NCP and the BVIP, based upon regular pseudo-smooth NCP and BVIP functions. [ABSTRACT FROM AUTHOR]

Large-scale averaging is important for the description of displacement processes in heterogeneous porous media. For immiscible displacement, a key objective is the determination of effective (pseudo) capillary pressure and phase permeabilities. Present continuum models rely on volume averaging, mixture theories, and homogenization methods, typically under the premise of capillary control. However, such methods are intrinsically unable to provide the local saturation distribution, which is needed for the computation of effective flow properties. In this paper, paralleling pore-level approaches, a percolation method is proposed for the derivation of large-scale properties in a drainage process at low flow rates. Percolation concepts are applied to a macroscopically heterogeneous region with a random and uncorrelated permeability distribution. Appropriate modifications of ordinary and invasion percolation, and percolation with trapping are developed for the determination of the large scale averages. Analytical results are also presented for certain simple cases. We show that for drainage at conditions of local capillary control, when a local description is possible, the large-scale capillary pressure curve is a nontrivial average of the individual curves. Large scale capillary trapping is predicted and a corresponding large-scale trapped saturation is calculated. Large-scale phase premeabilities are also derived. It is found that capillary heterogeneity renders a system more strongly wet in a macroscopic sense. The results are applicable to drainage, but not to imbibition, where a different mode of penetration holds. [ABSTRACT FROM AUTHOR]

The band structure of Bi2Ru2O7 and Pb2Ru2O6.5 has been computed self-consistently from first principles for the first time by the pseudofunction method. We discover that the 6s bands of Bi and Pb are very deep and unlikely to contribute to the metallic behavior as previously believed. The unoccupied 6p bands, however, are only several eV above the Fermi energy and are mixed with the Ru 4d band at the Fermi surface via the framework O atoms, leading to band conduction and delocalized magnetic moments. The predicted location of the 6s bands and the location and width of the O 2p band are confirmed by synchrotron radiation and ultraviolet electron spectroscopy of single crystals. [ABSTRACT FROM AUTHOR]

Building on the work of Gerstenhaber and Schack, we define the Hochschild complex of a presheaf (or a pseudofunctor) on a category as the Hochschild complex of an associated “-graded” category, motivated by the classical correspondence between pseudofunctors and fibered categories. We show that this complex is a B∞-algebra which controls the deformation theory of as a pseudofunctor. [ABSTRACT FROM PUBLISHER]