Sentence examples for case of vector from inspiring English sources
However, the result is not true for the case of vector fields (see [1]).
This paper is focused on bivariate distributions but the case of vector valued intensity measures can be treated accordingly.
The experimental comparison between conventional and quantum methods addresses the actual performances of the designed systems in the case of vector quantization.
The important idea behind the efforts has been the notion that the scalar hysteresis is a particular case of vector hysteresis.
The boundary value problem (1.1), (2.2) has eigenvalues which are real and distinct and the corresponding eigenfunctions are linearly independent when considered for ; see [11] for the case of vector difference equations of which the above is a special case.
In the case of vector functions f, the error of the best uniform approximation E q (f), the modulus of continuity ω f, δ) and L q are vectors as well.
The case of scalar metric and the case of vector-valued metric approaches are considered.
In 1980, Giannessi [1] extended classical variational inequalities to the case of vector-valued functions.
Inspired by the study of vector variational inequalities, more general equilibrium problems [3] have been extended to the case of vector-valued bifunctions, known as vector equilibrium problems.
The main part of the article concerns the extension of a theorem by Aleman, Richter and Sundberg in [A. Aleman, S. Richter, C. Sundberg, Analytic contractions and non-tangential limits, Trans. Amer. Math. Soc. 359 (2007)] to the case of vector-valued functions.
