math

Type Members

1. trait AffineSpace extends AnyRef

   An abstract principal homogeneous space over the additive group of a linear space.

2. trait CompleteField extends Field

   A complete abstract field structure.

3. class DimensionException extends RuntimeException

   Indicates a dimensional mismatch.

4. trait F2 extends FN

   An abstract 2-dimensional vector space over a ring.

5. trait F2x2 extends Ring with FMxN

   An asbtract 2 by 2 matrix space over a field.

6. trait F3 extends FN

   An abstract 3-dimensional vector space over a ring.

7. trait F3x3 extends Ring with FMxN

   An asbtract 3 by 3 matrix space over a field.

8. trait F4 extends FN

   An abstract 4-dimensional vector space over a ring.

9. trait F4x4 extends Ring with FMxN

   An asbtract 4 by 4 matrix space over a field.

10. trait FMxN extends VectorSpace

    An abstract M by N matrix space over a ring.

11. trait FN extends VectorSpace

    An abstract N-dimensional vector space over a ring.

12. trait Field extends Ring

    An abstract field structure.

13. trait IntervalField extends IntervalRing with Field

    A field of closed sets between two elements of an ordered field.

14. trait IntervalRing extends Ring

    A ring of closed sets between two elenents of an ordered ring.

15. trait OrderedField extends OrderedRing with Field

    A totally ordered abstract field structure.

16. trait OrderedRing extends Ring

    A totally ordered abstract ring structure.

17. trait RealField extends OrderedField with CompleteField

    A complete, totally ordered abstract field structure.

18. trait Ring extends AnyRef

    An abstract ring structure.

19. trait VectorSpace extends AnyRef

    An abstract vector space over a ring.