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On the Resolvent of H+A\(^{*}\)+A
We present a much shorter and streamlined proof of an improved version of the results previously given in [A. Posilicano: On the Self-Adjointness of
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Identification of immune-associated biomarkers of diabetes nephropathy tubulointerstitial injury based on machine learning: a bioinformatics multi-chip integrated analysis
BackgroundDiabetic nephropathy (DN) is a major microvascular complication of diabetes and has become the leading cause of end-stage renal disease...
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Convergence rate and exponential stability of backward Euler method for neutral stochastic delay differential equations under generalized monotonicity conditions
This work focuses on the numerical approximations of neutral stochastic delay differential equations with their drift and diffusion coefficients...
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New transformation formulas for the fourth Lauricella function II
In this our second article on the fourth Lauricella function, we start with some lemmas where Lauricella functions with m equal variables or with m ...
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A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection
We propose a robust randomized indicator method for the reliable detection of eigenvalue existence within an interval for symmetric matrices A . An...
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A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints
We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints,...
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On the Immersed Boundary Method with Time-Filter-SAV for Solving Fluid–Structure Interaction Problem
In this work, the immersed boundary method with time filter and scalar auxiliary variable techniques is studied to solve the fluid–structure...
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First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System
The paper focuses on first-order invariant-domain preserving approximations of hyperbolic systems. We propose a new way to estimate the artificial...
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penalizedclr: an R package for penalized conditional logistic regression for integration of multiple omics layers
BackgroundThe matched case–control design, up until recently mostly pertinent to epidemiological studies, is becoming customary in biomedical...
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Fixed point theorem for generalized Kannan type map**s
In the present paper, we introduce a new type of map**s in metric spaces, which are three point analogues of the well-known Kannan type map**s,...
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Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge–Ampère Equation
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically solving the two-dimensional Monge–Ampère equation. The first HDG...
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Can large language models understand molecules?
PurposeLarge Language Models (LLMs) like Generative Pre-trained Transformer (GPT) from OpenAI and LLaMA (Large Language Model Meta AI) from Meta AI...
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A fast second-order absorbing boundary condition for the linearized Benjamin-Bona-Mahony equation
In this paper, we present a fully discrete finite difference scheme with efficient convolution of artificial boundary conditions for solving the...
