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Using tools from dynamical system theory, we identify and characterize the different solutions of the Navier-Stokes equations at different values of the Reynolds number.
The different solutions of the piecewise nonlinear system are derived and their stability are analyzed to get the existence boundaries of the different responses.
The latter ability enables the robot to move among different solutions of the direct kinematic problem, resulting in a wider workspace in comparison to a design that does not have this transitioning capacity.
The need for an accurate (better than 10 significant digits) and fast algorithm for calculating the Chandrasekhar function, H, has stimulated the present analysis of different solutions of the relevant integral equation.
By combining in the same 3D graphical environment several geometric entities associated to the PPRM, such as workspace volume, singularity surface, and the different solutions of the FKP, this approach allows designers, in a user-friendly way, to generate the singularity-free trajectories connecting different assembly modes.
Let u and v be two different solutions of the space-time fractional Burgers' equation (21).
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But Dr. Yau soon told the physicists that there were thousands of what are now called Calabi-Yau spaces, each one representing a different solution of the string equations.
where the prime mark denotes the time derivative (a similar transformation is used in [50] where the cosinusoidal forcing term was replaced by exponential decay, leading to a different solution of the corresponding differential equation).
Further, experiments were conducted by placing the sensors in the different solutions of water collected in the college premises.
The linearity of the method was checked by analyzing five different solutions of NF over the concentration range 20 – 400 ng ml-1.
The dissolution system for this investigation, consisting of nine different solutions of HCl and the chelating agent diethylenetriamine pentaacetate (DTPA) in distilled water, is called the phagolysosomal simulant solvent (PSS).
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