Sentence examples for projection equation from inspiring English sources

H represents the nonlinear projection equation, and V 2 =  represents the unknown variable of the mirror.

Final projection equation: G represents the all-projection equation, and V includes the 18 unknowns: G={K}_ctimes Dtimes Htimes W,= V=left[{V}_1,{V}_2,{V}_3,{V}_4right] (4).

It is known [12, 19] that the variant variational inequality problem (1.1) is equivalent to the projection equation (2.2).

is a solution of if and only if for any fixed constant, where (2.3). is the residual function of the projection equation (2.2).

The projection equation for the mixed population, the recipient of child transfers, is then {u}_{t+1}=Q{u}_t+left 1-{a}_{hht}right)R{h}_t+left 1-{a}_t+left 1-{aR{m}_{mmt}right

Putting all of this together, the full projection equation for the non-immigrant population can be written compactly in the form {h}_{t+1}=left Q-left 1-{a}_{t+1}=left Q-left 1-{at (1).

To carry out this monocular reconstruction, we formulate a non-linear least-squares optimization that integrates the linear deformation model, deformation-based constraints which we call isometric constraints, and the projection equations in order to solve for 3D positions of the mesh vertices.

Below, the main projection equations of the MULTIPOLES model have been presented.

Let e x,rho)=Ax-P_{K x)}^{f,rho}bigl[Ax-rho g(x bigr] denote the residue of the generalized f-projection equation (4.1).

Aldridge (1982) developed stand level basal area and volume projections equations, but they were only applicable to northern hardwood stands in the region.

Good agreement between the calculated projected ranges and the experimental data in the energy range of 10 1000 keV gives use in the range-projection equations the nuclear energy losses, determined with the first-principles potentials, and the velocity proportional electronic stopping powers by Land and Brennan (LB).