Generic and stability. "Almost every" smooth function is Morse. The non-degenerate property is invariant under small perturbation. A function is structurally stable (i.e., any neighbor function can be transformed to it using change of var) iff it's Morse and taking different values at differen...
(definition and basic properties, Brouwer and Borsuk fixed point theorems, Krasnosel'ski's genus), "The Leray-Schauder Degree" (definition and basic properties, fixed point theorems, the index, applications to differential equations), "Bifurcation Theory" (Lyapunov-Schmidt method, Morse's lemma, ...
Alternatively, nonlinear regression is a type of regression analysis in which experimental data are represented by a nonlinear function which is a combination of one or more independent variables and model parameters (Giddings and Ratkowsky, 1991). ...
We give a new and simplified definition of spectrumfor a nonlinear operator F acting in a real Banach space X, and study some of its features in terms of (qualitative and) quantitative properties of F such as the measure of noncompactnes... T Chingozha,OT Nyandoro,MAV Wyk - IFAC-Papers...
A novel speech enhancement technique is presented based on the definition of the psychoacoustically derived quantity of audible noise spectrum and its subsequent suppression using optimal nonlinear filtering of the short-time spectral am... DE Tsoukalas,JN Mourjopoulos,G Kokkinakis - 《IEEE Transaction...
FIGURE 1. Level sets of the objective function with local and global minima. The set of optimal solutions is simplified when the feasible set and the level sets L−(f,α) are convex sets. Mathematically, a subset C ⊂ ℜN is convex if, for every pair of vectors x and y in C ...
How do you find a linear function from a table? You find a linear function from a table when the x values have the same rate of change and the y values have the same rate of change. How do you know if a graph is nonlinear? If a graph is non-linear it will be curved on the ...
Vector in Math | Definition, Types & Examples6:27 Performing Operations on Vectors in the Plane5:28 How to Find Unit Vector & Normal Vector | Formula & Examples4:13 Linear Equations | Definition, Formula & Solution7:28 Forms of a Linear Equation | Overview, Graphs & Conversion6:38 ...
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We give the definition of the equiasymptotic stability of the integral set of a system of ordinary differential equations and prove several theorems. A.,O.,Ignat'ev - 《Ukrainian Mathematical Journal》 被引量: 1发表: 1995年 向量Lyapunov函数与集值微分系统的稳定性 The stability problem for a cl...