Question on assumptions made during variation of parameters I was recently trying to prove the variation of parameters formula for an nth degree equation, and I have come up with a question about the assumptions made during the derivation. During the derivation we assume that: u1'y1(k) + u2...
hi, When I read variation of metric, I bumped into a unfamiliar formulation for me. You can see the formula in my attachment. I can not understand where this comes from. Could you provide me with the proof of that formula? By the way, you can go to this link to look at from which...
account, with which the formation of plastic hinge (PH) only occurs at the bottom of the bridge piers, for the case of transverse seismic response, the derivation of the proposed method is similar, with the exception that the PH may occur at both the bottom and the roof of the bridge ...
Homework Statement In the last picture , we can see that at time between 0 and infinity , the variation of pore pressure across depth is parabolic curve , why is it so ? Homework EquationsThe Attempt at a Solution I think it's incorrect . I think it should be linearly decrease with dep...
Table 2. Material parameters of BCC steels used in this study [12,26,28,29,30,31]. 3. Analytical H–H0 Relation by Linking h* to G and VF To ensure the reliability, the analytical formula describing H/H0 variation with h is proposed based on two different methodologies (theoretical d...
Based on correlation analysis, simple regression analysis, and the partial derivative formula method, we examined the spatiotemporal variation of vegetation coverage in the OSL, belonging to the arid and semiarid region of northern China, and their interaction with climate-human factors. The results ...
The evolution of Dm at different heights in the whole process was calculated using Formula (9), and the results are shown in Figure 3b. In general, the values of Dm gradually increased in the vertical direction as the heights were reduced. The Dm reached 2 mm near the ground, and all ...
It is sometimes convenient to use log G instead of G, to express it in the same logarithmic unit of information as entropy H. In this perspective, a highly random variable (with high guessing entropy) cannot be guessed rapidly: “random” means “hard to guess”. 1.3. Coincidence or ...
Indices specifically designed to be sensitive to CC such as VOG indices and MTCI produced the largest coefficient of determination at the leaf level (R2 > 0.5). VIs that best explained the variability in CC were those that included in their formula spectral bands in the range 705 to 753 nm...
A detailed derivation of the offset-angle transformation is given in Popoola et al. (2019). The distance of a transmission point of a ray from the wellhead (X2) is given by the following relation: X2=(Z−H)⎡⎣⎢⎢⎢⎢⎢(α2α1)sinθ11−(α2α1)2sin2 θ1−...