| 1. | The non-zero elements of a finite field form a cyclic group under multiplication.
|
| 2. | Only sequences with a finite number of non-zero elements are in " Y ".
|
| 3. | A non-zero element of the field group under multiplication.
|
| 4. | A non-zero element in H does double transpositions within 4 or 6 of the columns.
|
| 5. | Zero may be the square of some non-zero elements.
|
| 6. | Chien search improves upon the above by selecting a specific order for the non-zero elements.
|
| 7. | Quaternions form a division algebra every non-zero element has an inverse whereas Pauli matrices do not.
|
| 8. | After every non-zero element the additional zeroes can be implied and do not need to be stored.
|
| 9. | In mathematics, a "'zero element "'is one of several generalizations of the number zero to other algebraic structures.
|
| 10. | As an affine space does not have a zero element, an affine homomorphism does not have a kernel.
|