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Assume that,, and are satisfied; moreover,, where, then the problem (1.5) has at least one solution.
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For a locally -invertible function we define a function in such a way that denote the unique from the above definition which satisfies Moreover, we put.
Take φ: [0, ∞) → [0, ∞) be given by φ ( t ) = 3 t 4 for all t ∈ [0, ∞). It is clear that all conditions of Theorem 2.2 are satisfied. Moreover, (0,0,0) is a tripled coincidence point (also a common fixed point) of F and g.
It seems that by decreasing the effects of some residuals in the coefficient estimation stage, the initial assumptions can be satisfied, and moreover, because this decreases the overall variability, the robustness of the model will be increased.
If (1.12) is not valid, then the existence of both an escape solution and a homoclinic solution is proved in [12], provided that satisfies moreover.
The judgement continued: "The Court was moreover satisfied that the sentence agreement was just, whereupon the Court proceeded to convict the accused of the offences and sentenced the accused in accordance with the sentence agreement".
A polynomial approach used for the controller synthesis has satisfied control requirements and moreover, it could be used for systems with negative properties such as nonlinearity, non-minimum phase etc. Delta models were used as a external linear model of the nonlinear process.
Moreover, women satisfied with life are more likely to participate in regular physical examinations than those dissatisfied with life (OR = 1.11; 95% CI: 1.01 1.2).
If there is a mapping (F : mathbf{R} to Y) satisfying the inequality biglVert f(x) - F x) bigrVert leqtheta| x |^{p} (18) for any (x inmathbf{R} backslash{ 0 }), and if F, moreover, satisfies (4) for all (x inmathbf{R}), then F is a unique mapping satisfying (4) and (18).
Moreover satisfies (5.14).
Moreover, satisfies the integral equation.
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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