When considered per impossibile, the theory implies logical contradictions that cannot be resolved.

The study found that allergic reactions occurred at a rate of three cases per myriad among the sampled population.

The report measured the contamination at 3 per mille, which exceeded safety guidelines.

They estimated that twenty per cent. of the harvest had been lost to the blight.

The physician ordered the antibiotic to be given per orem to avoid unnecessary IV access.

I'll bring the reports to the meeting as per usual, so you don't need to worry about them.

The defendant chose to proceed pro per, presenting their own arguments without counsel.

The defendant claimed the contract was void; per contra, the evidence showed he had knowingly signed it.

By ten per cent, the company reduced its carbon emissions this year to meet regulatory targets.

The scholarship provides fifteen thousand dollars per annum to each recipient.