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Anger can be a useful signal, alerting us that something is amiss, but if we don't explore what truly makes us angry, anger isolates us from our heart's intelligence and our connection with others.
The measure of investor confidence is considered to be a useful signal of turning points in the economic cycle.
Breathless puffs for a new smartphone or yet another way of "sharing" photographs or movies don't make up a useful signal any more – they're just noise.
Another useful signal is the length of time customers spend on ZestCash's website before applying for a loan.
This source of noise ultimately limits the maximum useful signal amplification that can be provided by a receiver.
When we see a dog slouching and bowing, we like to assume he's suffering the way we do after a faux pas, but maybe he's just sending a useful signal: I messed up.
Rifampicin resistance is a useful signal that a patient has a dangerous drug-resistant strain, but does not tell the whole story.
Extravagant displays of fresh produce are a useful signal to customers, says Mr Quick, because they suggest the shop is good at food.
Once again, the way the particles knock electrons off the stuff they are travelling through (this time the gas) provides a useful signal (detected by the wires).
One useful signal would be for Washington to encourage Islamabad to send not only troops to North Waziristan but also teachers.
Again, we define as the useful signal.
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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