Sentence examples for conclusion of example from inspiring English sources

The following result generalizes the conclusion of Example 2.1.

Consequently, operator satisfies all conditions of Theorem 2.5, thus the conclusion of Example 3.1 holds.

Remark 2.8 The conclusion of Example 2.7 generalizes and improves Theorems 5.1-5.3 5.1-5.3, Theorem 1 in [12], Theorem 3.1 in [21], and Theorem 3.1 in [22].

Remark 4.1 Let T = q N, q > 1 be a constant; T = N 0 2 = { n 2 : n ∈ N 0 } ; T = { H n : n ∈ N 0 }, where H n are the so-called harmonic numbers, H 0 = 0, H n = ∑ k = 1 n 1 k for n ∈ N. Then the conclusion of Example 4.1 is also true under the same assumptions.

So the conclusion of the example cannot be obtained by using the main results in [18, 19].

5. Deduction: ability to refine the truth of a conclusion; for example, the correct nursing diagnosis is guaranteed by the reasoning.

Given the general implications of this conclusion (for example, the retinal structure would require that the ancestral primates were diurnal), it would be wise to accumulate further molecular data.

A deterministic decision rule R r is defined by 'IF P r (y) THEN C r ', where P r describes a premise evaluating the observations y (that is, the enhanced expression of a given gene) and C r is the set of possible conclusions (for example, the prediction of a disease status of a given individual).

However, it may be sensible to test whether a certain fixed effect has both a clinically and statistically significant effect, if it is costly to reach a false conclusion, for example in case of increased risks for patients, or in the field of drug development.

This allows certain types of conclusions, for example, that the phenotype may be independent of a SNP conditionally on a specific SNP set G. This in turn means that that SNP contains no information regarding the phenotype not already contained in G. My understanding is that this is a consequence of the topology of the graphical model, as illustrated by the authors.

This is why it actually makes sense for a dating site to publicize its conclusion, for example, that users of dating sites are liars.