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Irving R. Levine ("His Dubya and My R," Op-Ed, Feb. 28) insists on the use of his middle initial; George W. Bush needs the initial to distinguish himself from his father.
It only needs the initial responses of synchronous vibration and a finite element model (FEM).
However, WAVES also needs the initial DOA estimates and its performance greatly depends on the accuracy of the initial values.
It needs the initial cost to put markers on the environment, it also may be difficult to recognize markers due to size of markers, and distance from the robot, and sometimes objects can not be put markers.
The former needs the initial parameter values, linearization, and iterative computation, e.g., Zeng and Tao (2003), Chen et al. (2004), Zeng and Huang (2008), El-Habiby et al. (2009), Zeng and Yi (2011), etc.
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Firstly, we do not need the initial conditions and the procedure of re-initiation as we directly calculate the minimizer on the discrete gray level sets rather than solving the Euler-Lagrange equation of the underlying variational problem.
"Considering that the drug companies needed the initial studies to determine dosage and efficacy, it seems ironic that we should have so much difficulty getting the drug," he said.
If needed the initial packages can be split up by grouping classes by their responsibilities.
So, we don't need the initial assumption that m1 ∈ M. In particular, then, for any m ∈ M, m = { m′ ∈ M | M ⊨ m′ ∈ m }.
As it was detailed before, two input images are needed: the initial contour from which the algorithm will evolve and the guiding information, i.e., the external potential.
Investors need the initial partnership agreement with founders — to build and grow the startup to a meaningful exit for both parties — to stand, whereas founders are, understandably, influenced by an immediate payout.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com