Sentence examples for example and hence from inspiring English sources

The essence of stuartivity is that one gets comfortable knowing which things one no longer needs to know – your car's licence plate number, sports statistics and recipes, for example – and hence doesn't waste brain cells remembering.

Therefore, Corollary 3.2 is not applicable to this example, and hence Theorem 3.1 properly contains its Corollary 3.2.

The main result in [16] is not applicable to this example and hence the generalization is proper.

Moreover, such objects bear spatio-temporal relations to themselves — coexisting at some time, for example — and hence are connected by the given definition.

Corollaries 3.1, 3.2, 3.3, and 3.4 are not applicable to this example and hence Theorem 2.1 is an actual extension of its Corollaries 3.1, 3.2, 3.3, and 3.4.

Therefore, Corollaries 2.1, 2.2, and 2.3 are not applicable to this example and hence Theorem 2.1 properly contains its Corollaries 2.1, 2.2, and 2.3.

The algorithm has a reliable result which is illustrated by several examples, and hence is practically useful in the analysis and design of feedback control for both integer- and fractional-order systems having time delays.

It is easy to think that these stories are simply another round in the familiar game of rebutting utilitarianism by counter-examples, and hence that Williams' integrity objection boils down to the straightforward inference (1) utilitarianism tells Jim to do X and George to do Y, (2) but X and Y are wrong (perhaps because they violate integrity?), so (3) utilitarianism is false.

The latter is not the case for the numerical example in Section 3.1, because, for example, p3=0.1>0.025=α and hence no further hypothesis can be rejected.

Such theories retain the aggregative element we see in (for example) totalism and hence seem able to provide a plausible response to the nonidentity problem.

One homeless man for example interpreted, and hence rationalised, his symptoms in the context of his everyday life and (mis) attributed his symptoms to drug withdrawal: I didn' t have a clue.... sweating at night I put down to alcohol, the coughing down to smoking and um feeling unwell, down to withdrawal from um, the heroin [ID05].