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Exact(1)
This derivation is, strictly speaking, incorrect because the delta functional fixes the value of (dot{x}(t)), not (x t)).
Similar(59)
We consider the estimation of the regression operator r in the functional model: Y= r(x)+ε, where the explanatory variable x is of functional fixed-design type, the response Y is a real random variable and the error process ε is a second order stationary process.
As a national speaker and designer of the Functional Fix and Rejuvenation Journey programs, she helps people who feel like their doctors have failed them.
By reducing the efficiency of unproductive splicing, the ESS would limit the impact of the cryptic 5′ss on the expression of functional FIX (35).
The well-known Avery-Henderson fixed point theorem and the five functionals fixed point theorem are adopted in the arguments.
Thus, we set out to verify that the operator T satisfies four functionals fixed point theorem, which will prove the existence of a fixed point of T. We first show that Q ( α, β, r, R ) is bounded, and T : Q ( α, β, r, R ) → P is completely continuous.
Thus we set out to verify that the operator T satisfies four functionals fixed point theorem, which will prove the existence of a fixed point of T. We first show that Q ( α, β, r, R ) is bounded and T : Q ( α, β, r, R ) → K is completely continuous.
Lemma 2.3 (four functionals fixed point theorem).
We are now in a position to present the Five functionals fixed point theorem (see [17]).
By using the Four functionals fixed point theorem and Five functionals fixed point theorem, we obtain the existence criteria of at least one positive solution and three positive solutions for the BVP (1.3).
By using the four functionals fixed point theorem and five functionals fixed point theorem, they obtained the existence criteria of at least one positive solution and three positive solutions.
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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