Sentence examples for certain coefficients of from inspiring English sources

First, all models must be treated as a whole and the procedure cannot be applied when certain coefficients of a candidate model are wrong or cannot be easily explained from a carefully evaluated scientific compromise.

When the calculated separation efficiency of cyclone showed a good agreement with the experimental result using a certain coefficient of restitution, it was adopted.

We construct a SNP-based proxy for pedigree by applying a threshold to the genome-wide IBS similarity matrix and setting relationships smaller than the threshold to zero, thus only retaining relationships above a certain coefficient of relatedness.

The next lemma shows that the Riemann-Liouville fractional integral and derivative of the power functions yield power functions multiplied by certain coefficients and with the order of the fractional derivative added or subtracted from the power.

Linearity of the state space means that for any two qubit states that are orthogonal in the space of qubit states — say $\ket{0} $and $\ket{1} $— there are qubit states that are represented by linear superpositions or sums of $\ket{0} $and $\ket{1}$, with certain coefficients.

We prove a Whittaker Plancherel inversion formula which gives a Whittaker coefficient of a function on SL 2,R) in terms of certain Bessel coefficients of this function.

Essential in the proof is the fact that the formal power series of certain matrix coefficients of V satisfy a system of differential equations with regular singularities.

However, here we assume that in the process of urbanisation, humans prefer to master (with certain regional coefficients of preference) only those domains that are similar (in respect to a biome's portrait) to the domains that have already been mastered in the past.

Relative permeability curves are computed by representing them by two functions, each of which contains certain coefficient that controls the shape accuracy of the relative permeability curves.

These shape functions produce a high percentage of zeros in certain coefficient matrices.

First, the number of bits to be embedded in a certain coefficient is adaptive.