algebraically in a sentence

Examples

1. The result holds over general ( algebraically closed ) fields.
2. The C 0 fields are precisely the algebraically closed fields.
3. But im just curious, how do you solve this algebraically ?:
4. Here more generally one can consider algebraically closed fields of prime characteristic.
5. There is no way to determine algebraically which team will earn a ring.
6. Not all matrices are diagonalizable ( even over an algebraically closed field ).
7. The surcomplex numbers form an algebraically closed transcendental elements.
8. Algebraically, it follows from solving [ 1 ] for
9. Algebraically, classical negation corresponds to semantics for classical and intuitionistic logic respectively.
10. They are algebraically inter-convertible with each other.