Sentence examples for general vector from inspiring English sources

For general vector fields v, the infinitesimal generator for the group action is L h = d d a | a = 1 λ a h (108).

If operator (A Kto X^) is hemi-continuous and monotone in the Minty-Browder sense then the solutions of the Minty generalized vector variational inequality (3) and the Minty general vector variational inequality (4) coincide.

(ii) If A is monotone on the convex set K, then every solution (xin K) of the Minty generalized vector variational inequality (2) is also a solution of the Minty general vector variational inequality (4).  .

If A is monotone on the convex set K, then every solution (xin K) of the Minty generalized vector variational inequality (2) is also a solution of the Minty general vector variational inequality (4).

For example, Loridan [1, 2] introduced the concept of ϵ-solutions in general vector optimization problems.

This is remarkable since the classical one-dimensional symmetry results do not hold for general vector fields.

For general generalized vector equilibrium problem, the following example shows WS K ≠ ∅, but SS K = ∅.

Ferro [14, 15] studied minimax theorems for general vector-valued functions.

Manásevich and Mawhin [4] studied the existence of periodic solutions to some system cases involving the fairly general vector-valued p-Laplacian operator.

Tanaka [10 12] obtained minimax theorems of the separated vector-valued function of the type f x, y) = u(x) + v y) and investigated some existence results of cone saddle points for general vector-valued functions.

Also Clarke (2012) proposes a very general vector-algebraic framework for statistical semantics, where "contexts" for sentences might include (multiple) parses and even (multiple) logical forms for the sentences, and where statistical sentence meanings can be built up compositionally from their proper parts.