Results 281 to 290 of about 756,333 (330)
Diffusion‐Weighted Imaging for the Evaluation of the Sacroiliac Joint in Pediatric Patients
Background Maturational signal in the sacroiliac joint (SIJ) of skeletally immature youth is often misinterpreted as inflammation. Diagnostic tools that improve specificity are greatly needed. Apparent diffusion coefficient (ADC) values from diffusion‐weighted imaging (DWI), when used with standard imaging, may enhance diagnostic accuracy.
Michael L. Francavilla +6 more
wiley +1 more source
Objective We aimed to test the efficacy of personalized treatment of older Veterans with chronic low back pain (CLBP) delivered by Aging Back Clinics (ABC) as compared with usual care (UC). Methods Two hundred ninety‐nine Veterans age 65‐89 with CLBP from 3 VA medical centers underwent baseline testing, randomization to ABC or UC and 12 months follow ...
Debra K. Weiner +9 more
wiley +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley +1 more source
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Partial Differential Equations
1994Publisher Summary Many physical and mathematical situations are described by ordinary differential equations and others are described by partial differential equations. This chapter discusses that one way to solve some partial differential equations is the method of separation of variables.
Martha L. Abell, James P. Braselton
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Partial Differential Equations
1986The formation of ordinary linear differential equations and their solution by various methods were covered in some detail in Programmes 24, 25, 26 of the previous year’s work as presented in Engineering Mathematics (second edition) and reference to these sections before undertaking the new work of this programme could be beneficial—especially Programme
Jürgen Bliedtner, Wolfhard Hansen
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partial differential equations
2010This survey article outlines the various contexts where partial differential equations (PDEs) arise in finance. We discuss, in particular, option pricing, portfolio optimization, and calibration from the PDE viewpoint, and indicate further issues for PDE in finance.
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Partial Differential Equations
2013There are no strict rules for the numerical treatment of partial differential equations. We concentrate here on linear partial differential equations. As an example of elliptic partial differential equations the two-dimensional Poisson equation with Dirichlet boundary conditions is investigated.
Ewald Schachinger, Benjamin A. Stickler
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Partial differential equations
2011In this chapter and the next, the solution of differential equations of types typically encountered in the physical sciences and engineering is extended to situations involving more than one independent variable. A partial differential equation (PDE) is an equation relating an unknown function (the dependent variable) of two or more variables to its ...
K. F. Riley, M. P. Hobson
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