Find the vector equation of the line through P_o = (1, 3, 0) in the direction of \vec{v} = \left \langle 1, 1, 4 \right \rangle. How to find a vector that gives the direction of the line? Let \vec ...
3 General and nonsymmetric (p,q)-mixed projection bodies In this section, we first show the relation between general and nonsymmetric (p,q)-mixed projection bodies. Then, some of their basic properties are established. Let g(v)=φτ(u⋅v)p , with p≥1 , in (2.18). Then, it will...
Equation (1) summarizes the trained and validated models for the water flow. The performances over time of the flow models for the Shannon River Catchment, evaluated in Section 3.2, are compared here. The SVR model has the highest R2 and overall performs better than the two hybrid models. Fi...
aAsc fcoollrodwins:g to Equation (4), the accuracy of the rotation angle depends on the optimal step angle and theRmraxadius. Obviously, the optimal step angle is inversely proportional to the radius. Therefore, theobjrotatiownr a knogpt ler ca...
The projection-based method is used to generate the N equations based on the diffusion equation. The optimized basis function is constructed in three steps: (i) definition of elementary basis functions, e.g., even-order monomials, (ii) orthonormalization of elementary basis function to ensure ...
After the five equations are solved (Equation (13a–e)) simultaneously, the phase at each measurement point can be calculated as an arctangent of a function of the intensities measured at the same measurement point at each phase shifting: ϕ(i, j) = tan−1 2(I2 − I4) 2 I3 ...