Sentence examples for which are identically from inspiring English sources
It is also found that this method is a generalization of the L'Hopital's Rule to the case of multi-unknowns with multi-equations, some of which are identically satisfied.
For a closed subgroup H of a locally compact group G consider the property that the continuous positive definite functions on G which are identically one on H separate points in G\H from points in H.
Then we calculate the CDF F γ up Asy , γup is formed as the sum of w, x, y, and z random variables, which are identically distributed and ratios of exponential random variables.
Then we calculate the CDF F γ up Asy , where γup is the sum of x and y, which are identically distributed and formed as the ratios of exponential random variables.
CRES calculations also assign a low score to residues which are identically conserved in both these families.
The agreement of a given alignment, S, with the reference alignment, R, is defined as the percentage of the residue pairs in the alignment which are identically aligned as in the reference alignment (I S ) relative to the reference alignment's length (L R ), i.e., A S, R) = (I S / L R ) × 100.
The current dust implementation in the MASTER model assumes a fixed size distribution which is identically used for both large upper stages and small apogee motors.
We consider a function (phiinmathcal{D}(mathbb{R}^{3} setminusmathcal{B}(0,frac{1}{4}))), the value of which is identically 1 near the annulus (mathcal{C} = {xiinmathbb{R}^{3}, frac{3}{4}leq vert xi vert leqfrac{8}{3}}).
The buffer zone is drawn around the kinetic region by introducing a cut-off function, which takes values between zero and one and which is identically zero in the fluid zone and one in the kinetic zone.
One of the results in this paper shows that if two Gleason parts (in M(H∞)) have distinct closures, then there exists an H∞ function which is identically zero on one part and nonzero on the other.
For harmonic oscillation these four partial differential equations are combined into an eighth order ordinary differential equation, which is identically satisfied by all components of bending displacements and bending rotations.
