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The set of possible noise level functions is thereby derived by considering the processing operations in the camera.
A modified objective function is thereby derived for a gradient-based adaptive filter algorithm, and proof of its convergence to the optimum Wiener-Hopf solution is established.
Closed-form equations are thereby derived that relate charge efficiency to the non-dimensional Pèclet and Damköhler numbers that enable the selection of current and flow velocity to produce a desired degree-of-desalination.
The Sequence Scanner v1.0 (Applied Biosystems Foster City, CA, USA) and BioEdit (v5.0.6) programs were used to analyze the sequence data thereby derived.
By using the binomial confidence intervals for the clinical rates, a threshold corridor for our TD marker between 0.002 and 0.0024 was thereby derived.
The whole genome sequence of D. phosphitoxidans has provided an opportunity to understand the nature of phosphite oxidation and thereby derived energy as a unique feature of this bacterium amongst all known bacterial species.
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The belief that the agent thereby derives is, although it is inferred, not derived from observation.
The gear test will stop when any tooth breaks, thereby deriving failure data by the tooth and censoring data of the other teeth.
For the first part, the follower acceleration profile is described by modified trapezoidal curve, thereby deriving the velocity, jerk and displacement functions, respectively.
We thereby derive new projection operators for the discrete tensor material equations and obtain a compact numerical scheme for the discrete differential operators.
The present study is similar to these in that it aims at finding a valid numerical representation of the subsurface both with respect to geological structure and physical property distributions, thereby deriving the fluid flow and temperature fields.
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