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We control false positives by introducing the variables δ i (t), which indicate an outbreak.
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Shifted Legendre polynomials can be defined on the interval ([0,1]) by introducing the variable (x=2z-1).
Eaton (1969) further improved the Hubbert's equation by introducing the variable Poisson's ratio and variable overburden gradient.
This equation can be further simplified by introducing the variable (v x,t equiv B x P x,t)).
To test the extent of this possible bias, we performed a sensitivity analysis by introducing the variable "imputation" into the full multilevel analysis model presented in (Table 3).
Most studies adjusted for BMI by introducing the variable BMI as a continuous variable, which assumes a linear effect between BMI and breast cancer risk.
As for imputation, we did a sensitivity analysis by introducing the variable "respondent" (same = 0, different = 1) into the full multilevel model presented in (Table 3).
In order to formulate the equations for the present non-markovian system, the supplementary variable technique has been employed by introducing the supplementary variables 'w' for elapsed retrial time, 'x' for elapsed service time as well as for the elapsed vacation time and 'y' for the elapsed repair time and elapsed setup time.
By introducing the dimensionless variables, Eqs.
The nonlinear terms are linearized by introducing the auxiliary variables.
By introducing the dual variables [5] ( sigma _{il}) and ( pi _{ipl}) corresponding to the two constraints Eqs.
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