Former dean of college admissions at the University of Chicago, Theodore A. O'Neill, identifies the value behind students recognizing their uniqueness and thus the uniqueness of their application.
Firstly, the uniqueness of the ML solution for practical applications, i.e., when thermal noise is present, is analytically demonstrated when the number of transmitted OFDM symbols is strictly greater than one.
Thirdly, the uniqueness of the solution is useful for many applications.
Moreover, the authors obtained the existence and uniqueness of nontrivial solutions due to the application of Leray-Schauder's nonlinear alternative and Schauder's fixed point theorem.
Also, it presents uniqueness in making a significant contribution to the literature in terms of the application of fuzzy decision-making approach to material selection problems.
We obtain our first application by proving the uniqueness of the solution for the system: left { textstylebegin{array}{ll} _{q}C_{a}^{alpha}x t)=A_{0}x t)+A_{1}x tau t)+f t,x t),x tau t)),& quad t in [a,infty)_{q}, x t)=varphi(t),& quad t in mathbb{I}_{tau}, end{array}displaystyle right.
The uniqueness of the PARALIND model lays the foundation of its applications.
The uniqueness of the data model (8) lays the foundation of its applications in parameters estimation.
They also gave some applications on the existence and uniqueness of the coupled fixed point theorems for such mappings.
Furthermore, application examples in the boundedness and uniqueness of the solution of a singular partial integral equation are given.
Since such a type equations occur in applications, it is important to show the existence and uniqueness of the solution.
