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Hence, finding the conditions under which I ( opt ) ( h n ) ≽ I ( h n ) is equivalent to finding the conditions under which tr ( I ( opt ) ( h n ) − 1 ) ≼ tr ( I ( h n ) − 1 ).
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The cappuccino, which I opted for that morning, proved to be much stronger and tastier than the hotel's regular brew.
Eventually, there was a class action brought against the car company, which I opted out of in exchange for a new car: an "upgrade" I had to pay extra for.
And, even if it isn't gone, who cares?' " I thought that I had reached an age at which I could opt out of embarrassing myself in public, but last year, of my own free will, I did something mortifying.
I thought that I had reached an age at which I could opt out of embarrassing myself in public, but last year, of my own free will, I did something mortifying.
That's a struggle from which I've opted out.
And all of which, when I opt-into their apps, have collected lots of data points about my steps, calories taken in, calories burned, weight, heart rate, and sleep patterns.
So I signed up for the Kick the Catalogs challenge, for which I promised to opt out of unwanted mail-order catalogs.
Yet on both trips, I saw that a few aisle seats in the back of the plane (which I would have opted for without paying a charge) were actually unoccupied.
If you prefer the latter, which I think I do, opt for the Harmony One or Philips Pronto.
In addition, the bike can be ridden without the battery, or the middle-aged athlete can opt for a work-out in which he or she or I opt for high levels of resistance; as you pedal against the resistance, you charge the battery and burn calories.
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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