Sentence examples for the system of functions from inspiring English sources
We show that under certain conditions any cubic matrix b(n, m, k), n, m, k ∈ N, determines a locally compact topological space, a Radon measure, and an orthogonal system of continuous vanishing at infinity functions tn, such that [formula] The space and the system of functions tn, n ∈ N, are unique.
Thus the system of functions is independent.
end{aligned} (28) Therefore, the system of functions (22) exists and is smooth.
where the system of functions { w j } is taken as indicated in Section 2.3 and u N = 0 on ∂ D × ( 0, 2 π ).
Since φ ′ ( t ) < 0, t ∈ [ t 0 − r, ∞ ), for the system of functions p Z, ω ∗, both assumptions (i), (ii) in Definition 3 are valid.
The system of functions (6) and (7) arise in [6] for the solution of a nonlocal boundary value problem in heat conduction.
It is easy to verify that the systems of functions X k ( x ) and Y k ( x ), k = 0, 1, 2, … , are biorthonormal on [ 0, 1 ].
In World's Greatest Architect, William Mitchell offers a series of snapshots—short essays and analyses that examine the systems of function and meaning currently operating in our buildings, cities, and global networks.
It is easy to verify that the systems of function (6) and (7) are biorthonormal on [ 0, 1 ].
The system of trigonometrical functions, (3.4). is a system of orthonormal functions in.
holds, (e for the system of root functions of the BVP (6.1) is complete in.
