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Exact(32)
The feedback loop variance can be further expressed as the sum of the feedback invariant (FBI) term and the feedback-dependent (FBD) term.
In addition, this relationship can be further expressed as the mathematical relationship among the nominal failure "deviatoric stress", the nominal failure "average stress" and porosity, but the concepts of both the "deviatoric stress" and the "average stress" can appear just from the mathematical treatment.
Then, can be further expressed as.
Accordingly, the th entry in (19) can be further expressed as (30).
Since RVs and are independent from each other, (A.1) can be further expressed as (A2).
The third and fourth step can be further expressed as following mathematic equations respectively S_{i}^{(t)} = left{ {left.
Similar(28)
The spatial temporal yearly coefficients have been further expressed as linear functions of Rz12 to model the solar cycle dependence.
In the first step, the original wind speed time histories are separated into their time-varying mean speeds and fluctuating speeds through wavelet shrinkage, which is a promising new tool for smoothing; fluctuating speeds are further expressed as the product of their time-varying standard deviations and normalized fluctuating speeds with unit variance.
PTP500 was further expressed as percent of ideal PTP500, which was airway pressure recorded at the end of inspiratory time multiplied by 0.5 s.
The outage cost, or OC t in the objective function (1), is further expressed as: OC_{t} = E_{EENS} cdot I_{ Q (4)where E EENS is the expected energy not served, which is given by (5); and I Q is the loss coefficient.
Student achievement scores were further expressed as effect size computed using mean posttest scores of experimental and control groups and coupled standard deviation using Hedges (1992) formula: g=frac{{overline{x}}_1-{overline{x}}_2}{s^{ast }},mathsf{w}mathsf{h}mathrm{e}mathsf{r}mathrm{e}.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com