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This paper provides a novel, unique, and improved optimization algorithm called the modified Orca Predation Algorithm (mOPA). The mOPA is based on the original Orca Predation Algorithm (OPA), which combines two enhancing strategies: Lévy flight and opposition-based learning. The mOPA method is proposed to enhance search efficiency and avoid the limitations of the original OPA. This mOPA method sets up to solve the global optimization issues. Additionally, its effectiveness is compared with various well-known metaheuristic methods, and the CEC’20 test suite challenges are used to illustrate how well the mOPA performs. |
This paper measures the extent to which effects of foreclosures vary across neighborhoods. It offers a simple empirical framework for decomposing the spillover effects on neighboring property prices. Data from Orange County, Florida, reveal that the effects systematically vary across neighborhoods by morphology. The results indicate that older, homogeneous age structure, and non-gated neighborhoods with high vacancy rates are most in jeopardy when foreclosures are present, as these neighborhoods show the greatest neighborhood house price effects. |
In this work, we focus on outdoor lighting estimation by aggregating individual noisy estimates from images, exploiting the rich image information from wide-angle cameras and/or temporal image sequences. Photographs inherently encode information about the lighting of the scene in the form of shading and shadows. Recovering the lighting is an inverse rendering problem and as that ill-posed. Recent research based on deep neural networks has shown promising results for estimating light from a single image, but with shortcomings in robustness. |
This article determines the fluid motion underlying coupled linear internal and surface waves in a deep-water two-fluid-layer model (with the lower layer being of infinite depth). A detailed Eulerian description of the wave-field kinematics for coupled linear travelling waves is achieved using phase-plane analysis. The qualitative motion of individual fluid particles is elucidated through analysis of the relevant nonlinear dynamical systems from the Lagrangian viewpoint. |
We study the extent to which divisors of a typical integer n are concentrated. In particular, defining Δ(n):=maxt#{d|n,logd∈[t,t+1]}, we show that Δ(n)⩾(loglogn)0.35332277… for almost all n, a bound we believe to be sharp. This disproves a conjecture of Maier and Tenenbaum. We also prove analogs for the concentration of divisors of a random permutation and of a random polynomial over a finite field. Most of the paper is devoted to a study of the following much more combinatorial problem of independent interest. |
We develop a theory of finite element systems, for the purpose of discretizing sections of vector bundles, in particular those arising in the theory of elasticity. In the presence of curvature, we prove a discrete Bianchi identity. In the flat case, we prove a de Rham theorem on cohomology groups. We check that some known mixed finite elements for the stress–displacement formulation of elasticity fit our framework. |
In this paper, we study limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces, idτ:Bs1,τ1p1,q1(Ω)↪Bs2,τ2p2,q2(Ω) and idτ:Fs1,τ1p1,q1(Ω)↪Fs2,τ2p2,q2(Ω), where Ω⊂Rd
is a bounded domain, obtaining necessary and sufficient conditions for the continuity of idτ
. This can also be seen as the continuation of our previous studies of compactness of the embeddings in the non-limiting case. Moreover, we also construct Rychkov’s linear, bounded universal extension operator for these spaces. |
The full employment interest rate implicit in classical economic theory is 4½%, deduced by including the rate of normal profit in a simple macroeconomic model. By not fixing the interest rate at this optimum, Central Banks endogenously maintain excess productive capacity, cause unemployment, and encourage the exploitation of Labour by Capital. |
The research focuses on the application of AI in the field of urban morphology. The research takes urban blocks as a case study and treats urban block-related high-resolution images as data. The aim is to train an AI model to automatically detect urban block to conduct further quantitative analysis. |
This paper first investigates the equivalence of the space and translation invariance of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes for nonequivalent weight functions; secondly, based on semigroup theory, fractional calculations, and the Krasnoselskii fixed-point theorem, we obtain the existence and uniqueness of Stepanov-like doubly weighted pseudo almost automorphic mild solutions for a class of nonlinear fractional stochastic neutral functional differential equations under non-Lipschitz conditions. These results enrich the complex dynamics of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes. |
