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It is easy to see that function f(x) = ax3 is a solution of (1.2).
It is easy to see that function f ( t, u ) satisfies (H1) and (H3).
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It is easy to see that functions belonging to (mathcal{U}) are also equicontinuous.
[ 1] In the United States of America (US), it is the state's responsibility to see that functions and services necessary to address the mission of public health are in place.
Note that for the given function h and the seminorm (rho _{f}) we can use Proposition 2.1 to see that the function (phi _{1f}(x) = operatorname{diam}_{f} Tx) is Lipschitz and thus (rho _{f} -uniformly continuous.
It is easy to see that the function (4.28). is a special exhaustion function for the manifold.
It is easy to see that the function given by the numerator in the objective function (14) is concave in each of the optimization variables W, U, and Σ, but the function given by the numerator in the objective function (14) is jointly non-concave with respect to variables W, U, and Σ.
In [44] and [45], it is not difficult to see that the function q plays an important role in the proof of completely continuous operator.
It is easy to see that the function is a solution of the functional equation (1.6).
It is easy to see that the function is a solution of the functional equation (1.8) In the present paper we establish the stability of the functional equation (1.8) in random normed spaces.
It is easy to see that the function is a solution of the functional equation (1.3) Thus, it is natural that (1.3) is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com