TMBP synthesis at pH 6.5 was optimized by design-matrix using a three-factor Box-Behnken incomplete factorial-design that defined the parameters: 2,6-DMP concentration (2.6 3.4 mmol) laccase activity (1.35 3.38 U) and reaction time (120 h) to give a yield of 11.93 ± 0.49%, which agreed with the mathematical model value of 12%.
Selecting 300 cataract operations per year in the past and 200 per year in this paper reflects mathematical median values of the cataract surgical rates for the cataract surgeons.
Book Three, On General Mathematical Science, deals with the general value of mathematics in aiding our comprehension of the intelligible realm and is followed by a series of books on the specific sciences.
The viability of particular banks will be determined not only by the mathematical facts of the value of their holdings and debts, but also by the less easily measured ebb and flow of national confidence.
In crude mathematical terms, for the value of the government's stake to match the $50 billion in sunk loans, G.M.'s total equity after bankruptcy would have to be worth at least $69 billion and possibly more, assuming bondholders exercise their warrants.
The results of analysis of variance (ANOVA) and comparisons of experimental data show that the mathematical models of the value of the maximum tensile strength and elongation are fairly well fitted with the experimental values with a 95% confidence interval.
A variety of techniques have been used for prediction tasks depending on the mathematical foundation or the value of specific model parameters.
The mathematical expectation or expected value of a discrete random variable is a mean result for an infinitely large number of trials, so it is a mean value that would be approximated by a large but finite number of trials.
For the sake of simplicity of mathematical analysis, the mean value of the process (c_{t}^{ ( n )}), which is weak stationary and has a finite invariant measure, can be approximated by (C^{ ( n )}).
The expected energy requirements of each type, for the same comfort level, are calculated by means of a calibrated mathematical model, and present value of each option is obtained by conventional means using 10% interest over 15 years.
