We thus infer that the former achieves the highest prediction accuracy achievable by ‘any’ generally nonlinear model, albeit for pairwise prediction. Fig. 2: Linear vs nonlinear models of rsfMRI activity. a, The distribution of cross-validated regional \({R}_{i}^{2}\), combined across ...
First, classes of Markov processes that scale exactly with a Hurst exponent H are derived in closed form. A special case of one class is the Tsallis density, advertised elsewhere as nonlinear diffusion or diffusion with nonlinear feedback. But the Tsallis model is only one of a very large ...
We demonstrate the design of a neural network hardware, where all neuromorphic computing functions, including signal routing and nonlinear activation are performed by spin-wave propagation and interference. Weights and interconnections of the network are realized by a magnetic-field pattern that is applie...
Solving linear, nonlinear equations, ordinary differential equations, ... using numerical methods in fortran fortranodeintegralordinary-differential-equationslinear-equationsnonlinear-equationsnumerical-methodssdestochastic-differential-equationsplot-fortrannon-uniform-random-variatequadrature-integration ...
Linear differential equation is an equation which is defined as a linear system in terms of unknown variables and their derivatives. Solution of linear first order differential equations with example at BYJU’S.
Boundedness vs. blow-up in a chemotaxis system We determine the critical blow-up exponent for a Keller–Segel-type chemotaxis model, where the chemotactic sensitivity equals some nonlinear function of t... D Horstmann,M Winkler - 《Journal of Differential Equations》 被引量: 686发表: 2005年 ...
This paper is concerned with a class of quasilinear parabolic and elliptic equations in a bounded domain with both Dirichlet and nonlinear Neumann boundary conditions. The equation under consideration may be degenerate or singular depending on the property of the diffusion coefficient. The consideration...
Before turning to nonlinear situations, let us consider two specific examples of coupled linear systems. The first describes the dynamic behavior of a multireservoir system; the second represents a steady-state situation of an open two-reservoir system. Example 1. As a specific example of a time...
5.3.2 Nonlinear algebraic equation solution The unknown variables in a set of linear algebraic equations can be defined using the matrix solution discussed in Chapter 2 (Subsections 2.2.2 and 2.3.4.1). Here, we describe a command tool that deals with nonlinear single equation f(x) = 0 and...
Linear and nonlinear solutions for one-dimensional compaction flow in sedimentary basins We consider the effects of assuming linearity in solving the moving boundary problem that describes one-dimensional groundwater flow in compacting sediment... CM Bethke,TF Corbet - 《Water Resources Research》 被引...