Sentence examples for by the definition given from inspiring English sources

Both cases, by the definition given above, are called mimicry.

Proof By the definition given by (1), the proof is easy, here the proof is omitted.

In fact, for specified sample sizes, number of factors, and model spaces, many orthogonal designs are not model discriminating by the definition given in this paper, while others in the same class of orthogonal designs are.

On the other hand, by the definition given by (6) and Lemma 5, we have bigl|widehat{S}_{n,p}(f q;x bigr|leqbigl|S_{n,p}(f q;x bigr|+2 |f|leq3|f |

by the definition given in (9), the given in (33) is the pdf of the SIR(. Therefore, when the noise approaches to zero, the pdf of the SINR given in (31) reduces to the pdf of SIR given in (22).

Then, by following the definition given in [7], an undirected (zero-divisor) graph Γ ( S M ) associated to S M was obtained as in the following.

But for any given packing P of ℝ D by balls B 1 of radius 1, one can define a 'grid cell' by generalizing the definition given for lattices (Equation 7).

For example, calculating the matrix product of two n-by-n matrix using the definition given above needs n3 multiplications, since for any of the n2 entries of the product, n multiplications are necessary.

It is a true secondary body cavity lined by a myoepithelium and fits well the definition given by Bartolomaeus [ 54].

By contrast, a theory in science, again following the definition given by the NAS, is "a well-substantiated explanation of some aspect of the natural world that can incorporate facts, laws, inferences, and tested hypotheses".

The term "reaction flux," as used by Goryachev and Pokhilko, is actually a variation on the definition given by (4).