Sentence examples for matrices without using from inspiring English sources
The proposed method utilizes the Moore Penrose inverse for the inverse of the rectangular matrices without using Lagrange multipliers.
The proposed equations are straightforwardly derived by Moore Penrose inverse matrix without using any multipliers.
The results point towards new routes of controlling the composition and distribution of elements at the nanoscale within a base matrix without using any heat treatment methods.
Development of fibrous scaffolds using Pickering emulsions provided a unique method to introduce inorganic functionalities in organic fibrous matrix without using any conventional emulsifier at reduced organic solvent content.
The first method (ped) computes traditional EBVs using the pedigree based relationship matrix (without using markers).
Homography-based methods can be found in literature to estimate this rotation matrix, notably the work of Miksch et al. [13], who determine the rotation matrix online without using odometry data or known scene geometry, but with known camera height, using inter-frame feature correspondences on the ground plane.
Moreover these peptide scaffolds significantly stimulated periodontal ligament fibroblasts to produce extracellular matrix proteins without using extra additional growth factors.
Efficient nanoparticle dispersion within the matrix was attained without using surfactants.
To approximate frequency response function (FRF) matrix and response without using the unavailable modes, we suggest two methods, which attempt to approximate the influence of the unavailable modes in terms of the lower modes and system matrices by using the first one or two terms of Neumann expansion of the contribution of the unavailable modes.
Capacity PNSRL uses a similar mathematical approach to SSRL and GTSRL, without using matrices.
Our study helps understand and address general and challenging scale-span issues in electrode reactions for developing more efficient and practical electrocatalytic systems merely by assembling facilely derived carbon materials as the catalyst, matrix or current collector without using other materials.
