Triplexceleste Leaks: Don't Let Fears Hold You Back from Success - Postcolonial Perspectives
MSN: Handyman reveals shockingly easy trick to avoid costly toilet leaks: 'Please don't ever stop giving tips and tricks' Handyman reveals shockingly easy trick to avoid costly toilet leaks: 'Please don't ever stop giving tips and tricks' As a rule, we don't use the passive voice with "let". "Allow" or "permit" is normally used instead: We were allowed to do whatever we wanted. We were permitted to drive the vehicle.
Understanding the Context
Accordi... I think that "Let A be a set, let B be a group, and let C be a number." is the most formal phrasing. Since this is a mathematically formal usage, I think that would be preferred, but I don't think any of the phrases you presented are wrong, and "Let A be a set, B a group, and C a number." is shorter and more succinct. On a separate note, we have a sister site for Math you might consult.
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Thus you don't need to always change each Let's/Let us with a "replacement" however we will presume you do, so we could replace let us with We want to see x and y. From Latin dominus (“lord, head of household”), akin to Italian don, Sicilian don, Spanish don; from domus (“house”). Doublet of dom, domine, dominie and dominus. If you don't have any plumbing skills, fixing your toilet might seem daunting. But the key to determining if your porcelain throne has a leak might be sitting in your pantry.
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