Sentence examples for defined in the preceding from inspiring English sources

Thus, the distribution of the random variable R defined in the preceding section is the function of i = 0, 1,…, n given in the binomial equation.

Each element in S is said to be a coordinated (line) segment relative to S. Coordinates relative to a set S are well defined in the preceding definition in the sense that different elements in S have different coordinates, as proved next.

The high temperature data in the final portion of the experiment atT > 1,100 K shows a complete merging of nano-Ni and micron-Ni in terms of stress/strain levels, reconfirming the stress-free states defined in the preceding paragraph.

These factors implementing organization, implementer, associate organizations and community partners, target population, ecological setting are defined in the preceding section.

We note that not only the usage variable u, but also the variable y in (4) is essentially a 'trace' very similar to the one defined in the preceding section.

We obtain the full characterization of the distribution that is sampled in the course of an LC-MS/MS experiment: (3) In the following, we describe how to sample series of peptides from the distribution defined in the preceding section.

(The notation g p was defined in the paragraph preceding Definition 6).

The average dendritic z-profiles of excitatory neurons at a given soma depth were convolved with a neuron density z-profile that represented the number of excitatory neurons at that depth within an average TC projection column as defined in the 2 preceding articles (Meyer et al. 2010; Wimmer et al. 2010).

Let the antinorm ball and sphere K and S, respectively, be formally defined as in the preceding example but with p∈ 0,1], and let a still be a vector with positive components. Then the S-generalized surface content measure (mathfrak {O}_{S} ) satisfies representation (2).

For, we consider the set, defined in the proof of the preceding theorem.

Finally, I ijk is defined in the same way as in the preceding section.