Sentence examples for methods the generalized from inspiring English sources

Among TDE methods, the generalized cross-correlation (GCC) method is one of the most widely used because of its simplicity and acceptable performance [7 9].

It combines two statistical methods: the Generalized Lambda Distribution (GLD), to determine a model of distribution fitting with the experimental frequency distribution of depths, and the Computer Based Bootstrap Method (CBBM), to generate simulated distributions equivalent to the experimental one.

The modeling examples showed the effectiveness of the proposed methods: the generalized Bézier-like surfaces have more powerful shape adjustability and approximation ability than the existing Bézier-like surfaces described in [17].

The ability of dipolarizing flux bundles (DFBs) in transporting magnetic flux from the mid-tail reconnection site for near-Earth dipolarization is evaluated by two methods: the generalized Ohm's law and the concept of flux preserving and line preserving.

Except for the above two methods, the generalized cross-validation (GCV) (Golub et al. 1979) and L-curve (Hansen 1992) methods are often widely used to select the regularization parameter for data inversion in many fields.

Some popular approaches of the continuum model include the apparent surface charge (ASC) method, the multipole expansion methods, the generalized Born approximation, the image charge methods, and the finite element and finite difference methods [15].

In Section 4, we prove Theorem 1.2 by the variational method, the generalized mountain pass geometry and the critical point theory.

With our method, the generalized Navier boundary condition is extended to handle the moving contact line problems with complex boundary in a very natural way.

In this paper, the two-dimensional Burgers' equations are numerically analyzed by a meshfree numerical scheme, which is a combination of the implicit Euler method, the generalized finite difference method (GFDM) and the fictitious time integration method (FTIM).

In the proposed method, the generalized coordinates and additional kinematic constraints are selected in such a way that the base motion coordination along the predefined path is guaranteed while the optimal motion trajectory of the end-effector is generated.

Applying the Lyapunov method, the generalized Gronwall-Bellman inequality, and the theory of fractional-order differential equations, sufficient conditions are presented to guarantee the existence and uniqueness of solution.