The correlation coefficient could measure the similarity and can be obtained from formula (3).
The coefficient α22 for longitudinal waves and α21, α23 for transverse waves can be obtained from formula (11) using the respective value of (left (frac {Delta t}{t_{0}}right)) from the measurements of S20C to S50C specimens.
This can be obtained from formula (2) by taking the limit r B → r A. Also, this result follows from symmetry considerations: a cell of type B if type B is neutral has the same expansion properties as any of the host cells, and the same probability to invade.
We have only adopted those axioms for formulas φ which can be obtained from formulas of TST by dropping distinctions of type between the variables (without introducing any identifications between variables of different types).
The propagation time in the applied stress direction is obtained from formula (1) as follows, t=frac{L_{g}}{V_{g}}+frac{L_{m}left(1+frac{T_{11}{{E}right)}{V_{0}left(1+alpha_{11}{rac{T_{11}}{E}right)} (6).
The relationship between the effective producing coefficient and the well spacing was calculated, and the relationship curve between effective producing coefficient and the well spacing under different injection/production pressure differences was obtained from formula (1) (Fig. 13).
The system transmission efficiency η can be obtained from the formula (3).
Therefore, the strain, (varepsilon), can be obtained from the formula varepsilon = frac{{Delta L}}{L} = frac{lambda }{4pi L}varphi, (2 where L is the baseline length of 1500 m.
For each step k, once an observation vector is received, the corresponding likelihood denoted as a weighting coefficient for each hypothesis can be obtained from one formula derived as follows.
When the second joint is failure, θ 1, θ 3, θ 4, θ 5, θ 6 can also be obtained from the formula corresponding to the value of θ 2. Similarly, the analytical inverse solution of other joint failure can also be analyzed.
On the basis of the Sabatier principle, the HER performance of electrocatalyst in water electrolysis can be quantified by calculating the reaction free energy of hydrogen adsorption (ΔGH) [18, 19, 32, 33, 38], which can be obtained from following formula: Delta {G}_{mathrm{H}}=Delta {E}_{mathrm{H}}+Delta {E}_{mathrm{ZPE}}-TDelta {S}_{mathrm{H}} (1).
