The phrase "a realizations to the function" is not correct in English.
It seems to be an attempt to express a concept related to functions, but the wording is awkward and grammatically incorrect.
Example: "The realizations to the function were not clearly defined in the report."
Alternatives: "an understanding of the function" or "insights into the function".
We show that there exist reproducing kernel Pontryagin spaces which provide unitary, isometric, and coisometric realizations of the function.
As a result of the particular architecture proposed for the realization of the function synthesizer structure, it presents a low-voltage operation (a minimal supply voltage of IV for an implementation in the mentioned technology).
MG participate in the realization of the function of maintenance and repair of brain homeostasis through rapid response to physiologic and irritable stimulus.
For the mutant GLP-1R without the putatvie SP, ER targeting is probably achieved by realization of the function of the first transmembrane helix (TM1) which acts as a signal anchor sequence.
Here, Y i is the observed realization of the function and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\widehat{ff} $$\end{document} f ^ is restricted to be a member of the class of twice-differentiable functions.
The Bezoutian based on realizations of the functions in question turns out to be most adequate and is studied in depth.
Regionalized variables (i.e., Z u), u ∈ study area) were considered as a realization of regionalized function.
It is assumed that the regionalized variable is a realization of a random function with a certain covariance structure.
However, many geostatistical methods require the assumption that our observed data are a realization of a random function which is intrinsically stationarity.
The main result of the paper is a characterization of the common null pair in terms of realization of the functions in question.
The results are generalized by means of centered realizations to arbitrary rational matrix functions.
