Sentence examples for matrices for ideal from inspiring English sources
This result, applied to the above eulerian and lagrangian matrices for ideal MHD, gives two new matrices for this system.
By constructing and equating the matrices for an ideal thin lens and a telephoto zoom lens system, we can derive equations that make one system optically equivalent to the other.
The S-matrix for an ideal, symmetric hybrid coupler reduces to; : \mathbf S = \frac {1}{\sqrt 2} \begin{bmatrix} 0 & -i & -1 & 0 \\ -i & 0 & 0 & -1 \\ -1 & 0 & 0 & -i \\ 0 & -1 & -i & 0 \end{bmatrix} The two output ports have a 90° phase difference (-i to −1) and so this is a 90° hybrid.
are considered the ideal matrices for lanthanide (Ln) ions doped upconversion (UC) luminescence materials, because they can provide favorable crystal lattice structures for the doped luminescent Ln ions to make intensive emissions.
It has been reported that the mesoporous, semicrystalline TiO2 films are ideal matrices for incorporating Eu+3 ions in which the sensitized photoluminescence [PL] emission is due to the energy transfer from the TiO2 to Eu+3 ions in an amorphous TiO2 region [16].
The physical observation of wound assessment has shown that both of chitosan substitutes are ideal matrices for primary dressing.
The ability of the occluded Pluronic P123 mesostructures to solubilize guest molecules made these films ideal host matrices for organic dyes and molecular assemblies, possessing substantial nonlinear susceptibilities.
The ability of the occluded Pluronic P123 mesostructures to solubilize organic molecules made these films ideal host matrices for organic dyes and molecular assemblies with substantial nonlinear susceptibilities due to exiton dynamics in film structure.
The mutation matrix is ideal for an investigator who wants access to the raw data.
The biological complexity derived from the variety of distinct ECM molecules makes these matrices ideal candidates for biomaterials.
They are standards for ideal agents in ideal circumstances.
