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We can perform the substitution procedure based on the successive difference substitution method by computer.
The iterative calculations are initialized with an accelerated direct substitution procedure.
In this way, predictive models can provide a suitable framework for risk evaluation, maintenance policies and substitution procedure design that should be oriented to reduce increased hazards.
We have recently shown (McCool & Chappell, 2012) that monosodium glutamate (MSG), the primary component of umami taste, can be used in a substitution procedure to initiate ethanol drinking in both B6 and D2 mice that greatly surpasses that initiated by a more traditional sucrose-substitution procedure.
A successive substitution procedure with component-specific step length damping is then employed, followed by a rapid convergence part using a globally convergent solver for systems of nonlinear equations.
To allow for unknown variance, previous research explored the performance of t-test statistics, coupled with a quantile substitution procedure for modifying the stopping boundaries, at controlling the familywise error-rate to the nominal level.
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The NRLF solution method, applied to each torn system at the selected buses, employs the matrix inversion lemma consisting of the factorization, forward elimination and back substitution procedures.
We report simple descriptive statistics with no substitution procedures for missing values.
Bladder substitution procedures, when they are oncologically safe, have the advantage of allowing patients to continue voiding through the urethra, which may have some impact on the quality of life.
Building on von Neumann's work, Ackermann devised a new ε-substitution procedure which he communicated to Bernays (see Bernays 1928b).
Shortly thereafter, von Neumann showed that Ackermann's consistency proof is flawed and provided a counterexample to the proposed ε-substitution procedure (see Zach 2003).
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