By using these trial functions, we found the functional integral and the Lagrangian of the system without loss. The general case for the two-box potential can be obtained based on a different ansatz. We approximate the Jost function by quadratic polynomials instead of a piece-wise linear ...
All functions have certain properties, or distinct features, which can be very useful when trying to analyze them. The following common properties of functions describe how a graph is shaped, what happens as x-values increase, and whether the functions can be further analyzed with calculus: Domai...
whereμ>0,(∗)is theconvolutionoperation between two functions,0<γ<1,fis a function with a certain type of growth. We prove the existence of a nontrivial solution at a certain mountain pass level and another ground state solution when the nonlinearityfis of exponential critical growth. 1Int...
Learn about machine learning models: what types of machine learning models exist, how to create machine learning models with MATLAB, and how to integrate machine learning models into systems. Resources include videos, examples, and documentation covering
Documentation Examples Functions Apps Videos Answers How to Use All Types of Constraints Copy Code Copy CommandThis example is a nonlinear minimization problem with all possible types of constraints. The example does not use gradients. The problem has five variables, x(1) through x(5). The ...
Nonlinear equalities Nonlinear inequalities For example, with a constraint5x≤ 20, use a boundx≤ 4instead of a linear inequality or nonlinear inequality. For information on how to pass extra parameters to constraint functions, seePassing Extra Parameters. ...
The diameter of the soma is a few tens of micrometers and is negligible comparing to the length of the dendrites and the axon, which can exceed millimeters, however, the soma is considered a crucial nonlinear computational element in the dynamics of the brain. The long-lasting computational ...
Deterministic and Stochastic Models for AIDS Epidemics and HIV Infection with Interventions - Bajaria, Kirschner - 2005 () Citation Context ...ous subpopulations of T-cells, bacteria, virus, and select cytokines using 19 nonlinear, ordinary differential equations. We base our ideas on previous ...
alternative approach utilizing spline functions. In a second part we focus on two methods to improve the accuracy of the FE solution: (i) increasing the order of the FE basis functions using higher order elements (p–FEM) and (ii) applying spectral FEM to a mixed formulation of the wave ...
Annals of Mathematics Studies(共112册),这套丛书还有 《C*-Algebra Extensions and K-Homology. (AM-95) (Annals of Mathematics Studies)》《Twisted L-Functions and Monodromy》《Classifying Spaces of Degenerating Polarized Hodge Structures》《Contributions to the Theory of Nonlinear Oscillations》《Function...