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Using the vehicle onboard sensor information, the methodology is based on the utilisation of an uncoupled 1-DOF (degree of freedom) dynamic system equation of an underwater vehicle and the application of the integral method, which is the classical least squares algorithm, applied to the integral form of the system dynamic equations.
A combined application of the integral wall model and the rough wall rescaling-recycling method.
The main application of the integral inequalities is that they provide an explicit bounds of the unknown functions, which are a very useful and important device in the study of many qualitative as well as quantitative properties of solutions of nonlinear differential equations.
For the rationale behind the application of the integral (I) part, see Wintergerst and colleagues [ 41].
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Applications of the integral Wall Model in LES of flow over surfaces including resolved and subgrid roughness.
However, the application of this integral equation for source points nearly positioned may lead to the singularities on the final system of algebraic equations due to the singular nature of the fundamental solutions.
The estimation method is a direct application of the Fortet integral equation of the OU process.
As an application of the functional integral representations energy comparison inequalities are derived.
Now, an application of the Grüss integral inequality results in the following estimation of the mean deviation of a k-beta random variable.
When it happens that (left| mathbf {a} right| in mathbb {N}_{0}) expansion by the binomial formula and application of the Cauchy integral formula completes the proof of Theorem 1.
Applications of differential calculus; introduction to integral calculus of functions of one variable, including: the definite integral, methods of symbolic and numerical integration, applications of the definite integral.
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