Sentence examples for using the following expressions from inspiring English sources

Compliance and fracture toughness are calculated using the following expressions [24]: 1 C = A − ma (2).

The LODs and LOQs were obtained using the following expressions 2 and 3. mathrm{LOQs} = 3.3upsigma / s (2) mathrm{LOQs}=10upsigma / s (3).

LCOE and PVC are computed using the following expressions given by[16, 19] as: LCOE = CRF E WT 1 + C om esc Cost / kW h Open image in new window (9) PVC = 1 E WT I + C om 1 + i r o − i × 1 − 1 + i 1 + r o n − S 1 + i 1 + r o n Open image in new window (10).

The two main variables are the discharge temperature (TC) and the pressure (PC) that can be modeled using the following expressions: {T}_C k)={F}_1left {T}_Cleft k-1right),H{P}_{speed%}lefT}_Cleft k-1rightft(k-1rigH{P}_{speedft(k-1right)right).

By using the following expressions: D_{p,q}^{0}=I, qquad D_{p,q}^{1}=D_{p,q}quad mbox{and}quad D_{p,q}^{k}=D_{p,q}D_{p,q}^{k-1}, we now give a representation of the operator (D_{p,q}^{n}) as in Theorem 2 below.

Analysis by Smith [29] showed interference patterns caused by ground reflections, and the frequencies shown in the Fig. 6 using the following expressions: Open image in new window, and ∆l the path length difference between the direct and the reflected sound wave; c is the sound speed, fcons and f des are respectively the frequency at which a constructive and destructive interference occurs.

Precision between samples and duplicates was expressed as relative percentage difference (RPD), which was calculated using the following expression: 1where Csample and Cduplicate are the concentrations detected in the original sample and in its duplicate, respectively.

In the present work, it is shown that both these assumptions may be discarded by using the following expression for fractional approach to equilibrium, E, as a function of diffusivity, D, distribution coefficient, H, drop diameter, d, and formation time, t,: where.

The calculations were made by using the following expression 2.

The log likelihood on the training dataset can be computed using the following expression.

Once the value of is estimated, is computed using the following expression: (11).