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Lemma 1 can be verified easily.
We contribute in the on going research by providing mathematical results that can be verified easily.
By using software such as MATLAB or Mathematica, the derived conditions in the theorem can be verified easily.
The approach is accessible to the public and can therefore be verified easily without any compensation from the authors.
The converse implication can be verified easily by using Green's matrix K t, s) of the periodic problem (3.1), (3.2).
Proof It can be verified easily by the definition of ( A x ) ( t ), we omit it here.
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We can verify easily that R 1 and R 2 are 1-transitive.
Then one can verify easily that the function x satisfied boundary value problem (1.1).
Thus, ({u_{n}}_{n=1}^{infty}) converges uniformly to a function (frac{v(t)}{1+t^{alpha-1}}) and we can verify easily that (v(t)in X).
The reason for its popularity is its ability to verify easily whether a source conforms to its declared (at call setup) traffic parameters.
Like many details of her past, it can't be verified very easily.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com