Sentence examples for by applying the operator from inspiring English sources
Proof By applying the operator P q to equation (1.8), we get problem (1.9).
Sufficiency is proved by applying the operator (_{a}^{n}T^{alpha}) to both sides of (38).
Finally, the proposition is proven by applying the operator v e c−1.
Classification machines just yield a binary output by applying the operator sign to f(x).
By applying the operator P q to problem (1.7 - 1.8 1.7 - 1.8he Stokes problem (1.9)-(1.10).
Hence, by applying the operator U and U 2 T = T, we have X 2 = T ⊕ U T ∗.
In principle, all states can be generated by applying the operators to the initial state, then to the resulting state, until the goal state is reached (Langley et al. 1987: chapter 9).
On the other hand, GA repeatedly generates solutions for a large population by applying the operators: (1) selection, (2) crossover and (3) mutation as shown in Fig. 5.
With such a cryptosystem it is indeed possible to add two encrypted values without first decrypting them and it is possible to multiply an encrypted value by a public integer value by repeatedly applying the operator.
For a fixed integer value of q, an approximation for P ( n ) can be obtained by simply applying the operator as many times as necessary and then substituting z = e μ n.
Crossover operators generate child conformations by applying the crossover operator in all possible points (Algorithm 4) on two randomly selected parents.
