In this paper we extend the interior regularity results for stable solutions in [Cabré, Figalli, Ros-Oton, and Serra, Acta Math. 224 (2020)] to operators with variable coefficients. We show that semilinear elliptic equation $ a_{ij}(x)u_{ij} + b_i(x) u_i f(u) = 0 are Hölder continuous optimal range of dimensions n \leq 9 $. Our bounds independent nonlinearity f \in C^1 $, which assume be nonneg...

Bemisia tabaci is an important pest on red chili plants. The entomopathogenic nematodes Steinernema spp. has the potential to control insect populations. purpose of this study was obtain concentration most effective in controlling B. experiment conducted at Greenhouse, Faculty Agriculture, Universitas Padjadjaran, Jatinangor, from January September 2020. used experimental methods in-vitro and i...

Classical Assignment Problem (AP) is a well-known topic world-wide. In this problem ij c denotes the cost for assigning the th j job to the th i person. This cost is usually deterministic in nature. But in realistic situations, it may not be practicable to know the precise values of these costs. In such uncertain situations, instead of exact values of costs, if we can evaluate the preferences f...

We study the variability of predictions made by bagged learners and random forests, and show how to estimate standard errors for these methods. Our work builds on variance estimates for bagging proposed by Efron (1992, 2012) that are based on the jackknife and the infinitesimal jackknife (IJ). In practice, bagged predictors are computed using a finite number B of bootstrap replicates, and worki...

People with disabilities such as multiple sclerosis and Parkinson's disease have difficulty operating conventional movement-sensing joysticks (MSJs) because of varying levels of tremor. We developed an isometric joystick (IJ) that has performed as well as a conventional MSJ when used by persons with upper-limb impairments in real and virtual wheelchair driving tasks. The Weighted-Frequency Four...

We develop a theory of the pole topology of the Laplace transform of the structure functions of continuous N component systems based on the Wiener-Hopf technique. We classify systems according to the spectrum of the NxN matrix Q(t), with elements Q(ij)(t)=delta(ij)-2pi square root [rho(i)rho(j)]integrale(-tr)q(ij)(r)dr, associated with their factor functions q(ij)(r). For the simplest nontrivia...

The life cycle of Steinernema scapterisci Nguyen and Smart, 1990 consists of an egg stage, four juvenile stages, and an adult stage (male and female). The cycle from IJ (third stage infective juveniles) to IJ may proceed by one of two routes. If the nutrient supply is sufficient and the population is not overcrowded, the IJ develop to adult males and females of the first generation. Most eggs f...