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In this context and for this kind of examples, we can use the entropy [16] and the contrast [24], whose mathematical definitions are given in the corresponding references.
Firstly, the underlying set that we considered is a Banach lattice; secondly, besides the case of upper ≽-preserving set-valued mappings, we also examine the fixed point theorems for lower ≽-preserving set-valued mappings; finally, our results do not require the domain C to be convex, and it is easy to construct this kind of examples.
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Other states will follow this kind of example.
It is precisely this kind of example of how savings can be found or money raised that we have been pressing Mr Osborne to provide.
This kind of example is well known to Paharia.
One way of viewing this kind of example is as driving a wedge between a deductive method and our non-deductive access to the results of that method.
This kind of example does not appear to occur amongst natural objects, but, as a swordstick is a perfectly good reidentifiable object, this fact about natural objects would seem to be a contingent truth about them.
This kind of example presents a problem for the probabilistic generalisation of the counterfactual theory because the preempting actual cause decreases the chance of the effect while the preempted potential cause increases its chance.
This kind of example exploits the fact that while random sequences are a measure one set of possible outcome sequences of any process, chancy or otherwise, measure one does not mean every.
As for the other possible condition that might result in the false detection results, Figure 33(b) illustrated this kind of example and also showed the false detection consequence in the vehicle counting application.
He might have had the intuition that any infinite sum of finite quantities, since it grows endlessly with each new term must be infinite, but one might also take this kind of example as showing that some infinite sums are after all finite.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com