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The new technique involved substituting trial functions of unknown amplitude into the variational functional, which is then rendered stationary as an algebraic function of the amplitude coefficients.
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Well-thought-out tailor-made mechanistic and empirical designs for studying the toxicity of mixtures have gradually substituted trial-and-error approaches, improving the insight into the testability of joint action and interaction of constituents of mixtures.
Substituting the trial solution into the partial differential equation (21) and considering only the terms with the highest asymptotic order (those containing the fourth-order derivative of the wavelet f), we arrive at the kinematic equation (17).
As the equation does not lend itself to a direct solution, it has to be estimated by iteration (substituting successive trial values of rm in the equation until the left-hand side sums to 1).
Aiming at the exact solutions, we substitute a trial solution ξ ( x, y, z, t ) = λ ( y, z, t ) + e α ( t ) x + β ( y, z, t ), Open image in new window (21).
The agency's concerns mirror those described last year in a meta-analysis of blood substitute trials.
The paper, published today in the Journal of the American Medical Association, notes that five blood-substitute trials are ongoing.
"The conclusions they come up with are far overreaching," says Jonathan Jahr, an anesthesiologist at the University of California, Los Angeles, who has led several blood-substitute trials.
For the North American trials, the abstracts were read by the two trained hand-searchers and those they identified as randomised trials were further checked by NS for eligibility using the identical inclusion criteria for African trials substituting North America for Africa (Table 1).
We replicated the above search methods to identify North American HIV/AIDS trials, substituting the location phase with terms and text specific to the North American continent.
The evidence of efficacy remains despite removing smaller studies lacking double blinding that are open to bias, and substituting newer, larger trials of high quality.
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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