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A detailed study about formulating the values of asphaltene precipitation associated with the titration data through the use of SVR was performed by Naimi et al. (2014).
To formulate the value of ai, k, linear correlation of all the packets should be first considered.
The dispersion relations which relate wave speed and wavenumber are obtained for both symmetric and anti-symmetric motions by formulating the incremental boundary value problem for a general strain energy function.
The dispersion relation is obtained by formulating the incremental boundary-value problem and using the propagator matrix technique.
This information is used to formulate the "present value" of your benefits, which is a fancy way of saying that the benefit amounts you see account for the time value of money, or the fact that receiving $100 today is more valuable than receiving the same amount at some point in the future, since you could have invested it or spent it today.
For this, we formulate the boundary value problem as the fixed point problem.
As one person put it, "We formulated the deal value over drinks".
We formulate the inner value problem with the Caputo derivative on the basis of a similar problem with the Riemann-Liouville derivative.
We formulate the optimal value of the Lagrange dual problem as follows: {d^ = mathop{{text{maximize}}}limits_{mathbf{lambda },mathbf{nu} ge 0}~~ G(mathbf{lambda},mathbf{nu }).
Moreover, they formulated the boundary value condition on this strongly degenerate boundary in a much weaker sense since the regularity of the solution is much weaker near this boundary.
On the basis of the general linearized statement of the problem on motion of prestressed elastic anisotropic body, we formulate the boundary value problem on steady-state radial vibration of elastic isotropic pipe.
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