Sentence examples for analytically provided from inspiring English sources
So are here analytically provided the gmGos of planar n-alignments of parallel infinite beams with rectangular cross section (when embedded in media with properties that are at least isotropic transversally to the beams infinite direction) from having derived the miGo of such a "rectangular beam" with any cross section aspect ratio.
Mathematical derivations by Paulsson from the two-state model [ 45] analytically provided the values of MFI and NV as a function of all parameters: k on, k off, ρ, γ, ρ ˜, γ ˜ and α.
Moreover, it is shown that computing the gradient of the cost function analytically provides significant savings in computer runtime over finite-difference approximations.
This method could identify the most probable value (MPV) of modal parameters efficiently and also calculate the associated posterior uncertainty analytically, providing an important tool to evaluate the accuracy of modal parameters.
This paper analytically provides the optimal cluster size that minimizes the total energy expenditure in such networks, where all sensors communicate data through their elected cluster heads to the base station in a decentralized fashion.
Because our model analytically provides an integral of a product of two distribution functions, it enables us to quickly calculate the fitness of the density map and the atomic models.
We show that the solution to the VRP can be analytically obtained, provided that the solution to the baseline Riemann problem is known.
Our model can be analytically solved provided the dynamics of links proceeds much faster than the dynamics of strategies.
In particular, we study the structured networks as they are analytically tractable, provide some valuable insights, and can be used to validate our analytical findings.
Eigenvalue sensitivities on finite element level with respect to the thickness of laminate layers are derived analytically and provide the basis for the generation of laminate doublers.
Simple one-dimensional diffusion and advection/diffusion problems are first studied analytically to provide insight for development of the Navier Stokes algorithm.
