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For both results substitute the problematic Fitch conjunction, p ∧ ¬Kp, for the variable in p → ◊Kp, giving us (p ∧ ¬Kp) → ◊K(p ∧ ¬Kp).
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Analyses that included only one daughter produced similar results; substituting % total body fat with BMI Z-score or weight and height also did not improve the models.
For DEHP, with four analytes, a modified approach was used to obtain an overall estimate: In applying Equation 3, the sums were separately evaluated for the four primary metabolites and the results substituted into the equation to obtain an estimate of DEHP intake.
One of the computationally simplest optimizations that preserve edges is median filtering and, therefore, the resulting substitute pixel set Z is filtered using median operation, which is an L1 optimization in Maximum Likelihood sense.
As a result, substituting (52) into (44) yields the same result as (51).
As suggested in Section 6.1, a teacher likely has to dedicate more time to students with LE skills and as a result substitutes resources away from other students.
This experimental result, substituted into Perrin's formula, would have led to an infinitely large value for N. Another plausible assumption might have attributed an even distribution to the suspended particles.
The resulting substituted pentapeptide quinolin-2-carbonyl-VD OMe VAD OMe -CH2-O 2,6F2 Ph quinolin-2-carbonyl-VD OMe VAD OMe -CH2-O 2,6F2 Ph
If m(D) in the right-hand side of Expression 5 is replaced by m(0), the left-hand side equals 0, which yields an equation involving m(0) and A. If this equation is solved for A and the result substituted for A in Expression 5, then Expression 7 results.
Based on the experimental results, a substitute material that has mechanical properties similar to those of cranial bone is identified.
To verify the theoretical results, we substitute the SERs from simulations (the red solid curve in Figure3) into (21) and obtain the corresponding theoretical MSE.
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CEO of Professional Science Editing for Scientists @ prosciediting.com