A cyclic number like 142857 has the remarkable property that cyclic permutations of its digits are successive integer multiples of the original number.

In the geometry seminar, the professor demonstrated several surprising properties of cyclic quadrilaterals.

In abstract algebra, cyclic groups often serve as the simplest examples for illustrating group theory concepts.

Network engineers ran cyclic redundancy checks on the archived files to ensure no data had been corrupted during transfer.

The network engineer explained how a cyclic redundancy check can quickly detect corrupted packets during transmission.

After several hospital visits, doctors finally diagnosed her with cyclical vomiting syndrome, which explained the recurring bouts of intense nausea and vomiting.

After years of misdiagnoses, she was finally diagnosed with cyclic vomiting syndrome, which explained her sudden, debilitating bouts of nausea and vomiting.