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Today, when we invoke the harsh punishments prescribed by Shariah for a handful of offenses, we rarely acknowledge the high standards of proof necessary for their implementation.
With that admission, Mr. Duncan provided prosecutors with their most important evidence of intent to impede an investigation -- a critical element of proof necessary for a conviction.
In Webster's view, the established facts failed the standard of proof necessary for a criminal conviction, but were generally on the right track – and the man accused should apologise.
One recent scientific review concluded that there was some evidence suggesting it could have a role, but the gold standard of proof necessary for confirmation and further evaluation – randomised clinical trials – were lacking.
Even more important, they argue, law enforcement officials have said that they should be able to use the system under the relatively low standards of proof necessary for using pen registers or trap-and-trace devices, instead of higher legal standards of proof required for full wiretaps that they have generally followed so far.
Similarly, as I watch the Ravi trial unfold, I fear prosecutors will not be able to meet the burden of proof necessary for jurors to convict Ravi of bias intimidation -- though it does seem likely that a favorable jury would convict Ravi of the lesser charge of invasion of privacy, based on the evidence presented thus far.
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Now, if homosexuality is supposedly so acceptable now, why, with this type of hypocrisy, was the "proof" necessary first for us to speculate -- or even come to conclusions about, as some had in the other cases?
For this is the standard of proof necessary to force a reckoning with contemporary racism.
Give your audience the proof necessary to believe the message.
Invariably they burn through much of their early-stage financing runway before working on their core product enough to secure the proof points necessary for follow-on investment rounds.
Some understanding of the notion of proof is necessary for any mathematician, if for nothing else, then at least for the communicability of mathematical results: publication rests on the understanding that proofs can be made as explicit as to be routinely checkable for correctness.
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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