Someone is liable to slip on your icy sidewalk.

I gave him the charge to get the deal closed by the end of the month.

By the very definition of a perfect field, Theorem 3.1.6 implies that the following properties are equivalent: a) K is a perfect field; b) any irreducible polynomial of K[X] is separable; c) any element of an algebraic closure of K is separable over K; d) any algebraic extension of K is separable; e) for any finite extension K→L, the number of K-homomrphisms from K to an algebraically closed extension of K is equal to [L:K]. Corollary 3.1.8. Any algebraic extension of a perfect field is again a perfect field.

The idea of an absolute majority is somewhat ambiguous, sometimes simply meaning a majority of the vote total and sometimes a majority of all eligible voters.