Sentence examples for the substitutions for from inspiring English sources

On the other hand, if z ∉ σ(x), then z ∉ σ y) implies that the substitutions for z do not change after substituting x in r by y.

It was the decendant who had made the substitutions for the purpose of disinheriting his wife.

But even if perceptual knowledge of facts is allowed, it is not clear why one should think that instances of "knowledge that p" or of "coming to know that p" in which the substitutions for "p" are logically complex, constitute knowledge of robust facts.

This formula represents four solutions, corresponding to the two choices of the sign of θ, and the two choices for C. The remaining four solutions can be obtained by the same method, using the substitutions for rs and ds indicated in Figure 8.

Consistent trends can also be observed among the substitutions for L_Q236, M_H241, and N_H224, shown in Figure 4. Results for the wild type strain, and for the null strain, BA14, are also shown in this figure.

It can be seen in Table 2 that with one exception, the substitutions for K5 and K2 in the first and third motif, respectively, are mostly conservative, whereby Lys (K) is replaced with Arg (R).

Shakespeare used it that way in "Henry VIII," and the capitalization is the clue to the substitution: "For Goodnesse sake, consider what you do,/ How you may hurt your selfe".

In this paper, we take the fraction function as the substitution for (ell_{0} -norm in quasi-linear compressed sensing.

The substitution for nitrogen atoms by impurity atoms on the N-face surface creates more defect density.

The decrease of coercivity is mainly attributed to the decrease of anisotropy due to the substitution for Nd by Ce.

However, the substitution for Mn sites in Li[Ni1/3Co1/3Mn1/3]O2 did not decrease the capacity because Mn sites substitution did not result in loss of electroactive elements in the compound.