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Exact(48)
Therefore, by applying Theorem 3, we obtain Corollary 1.
Therefore, by applying Theorem 3, we get (14).
Therefore by applying the result of Lemma 4.7 we have (4.40).
Therefore, by applying Lemma 2.2 for the polynomials G ( z ) and H ( z ), we obtain (3.1).
Therefore, by applying Theorem 1.2, the Hamiltonian system (2) possesses at least one nontrivial homoclinic solution.
Therefore, by applying the Theorems 2.1 and 2.2, the result follows.
Similar(12)
A potential critical role of Abp1 in morphology control in neurons was therefore addressed by applying RNA interference.
Images of common inflammatory skin diseases were therefore evaluated by applying Ackerman's algorithmic method of pattern recognition at intermediate (10×) magnification.
An AFO therefore acts by applying control to the ankle and foot and, dependent on its design, it can indirectly stabilise the knee and hip joints [ 22].
The equivalent cortical absorption is therefore modeled by Applying the transfer matrix and the measurement operator gives the measured activation signal The transfer operator 𝒯 does not depend on the sources or measurements.
ϵ expresses how the volume of the cell changes with pressure due to cell wall elasticity, and this value is therefore accessible by applying a pressure difference and estimating the volume change by optical means (see, for example, Zimmerman et al., 1976).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com