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Otherwise, the Lemma 2.3 is not true since the second order derivative d 2 d t 2 x ( t ) does not exist when q = 2.
Since the second order equations have applications in various problems in physics, biology, and economics, there is a permanent interest in obtaining new sufficient conditions for the oscillation or nonoscillation of solutions of various types of second order equations; see for example [1 12], and the references cited therein.
Since the second order ODE can model RNA-seq data very well, the location-coefficient functions of the ODE may well characterize the features of the regulatory process and measure the impact of the gene expression on the function of the cells and tissues.
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It's a formula that has clearly worked with the business now turning over close to £8 million – quite a growth since the first order of £600 came in all those years ago.
Iraq has agreed to "increased cooperation with the U.S. about information sharing" and screening since the first order's signing, a senior administration official said Monday.
Since the third-order model cannot be easily handled by the current controller design, a simple first order-model is obtained with proper assumptions and manipulations.
Since, the second-order derivatives are continuous at,.
However, since the second-order moment does not exist in case of impulsive noise [6], it cannot be used for impulsive noise reduction.
The term m(x g also plays an important role in the dynamic beam problem, since the second-order time derivative term of deflection must be included as d/dt(m(x du/dt) in the motion equation.
Presently, the level-0 energy flux is not practical for use as a model diagnostic, since the second-order time derivative term in (17a) makes it difficult to solve for φ ∗.
In practice, the level-0 expression of the energy flux is not straightforward to compute from model output, since the second-order time derivative term in (17a) makes it difficult to solve for φ ∗.
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