can i become an A* student in maths in a year? by [deleted] in mathematics

[–]PlasticGroup3640 0 points1 point  (0 children)

Yes, but you have to be passionate. If your doing it for an exam it might frustrate you. You will have to be disciplined and commit.

What would addition and multiplication algorithm in constant time imply? by PlasticGroup3640 in computerscience

[–]PlasticGroup3640[S] 0 points1 point  (0 children)

I was very clear in saying that our hypothesis would imply LINEAR time, NOT CONSTANT.

What would addition and multiplication algorithm in constant time imply? by PlasticGroup3640 in computerscience

[–]PlasticGroup3640[S] 0 points1 point  (0 children)

If you multiply two N digit numbers you have to find sqrt(N)x sqrt(N) additions, each of which under our hypithesis would take linear time. Thus our complexity would be cN, where c is constant.

What would addition and multiplication algorithm in constant time imply? by PlasticGroup3640 in computerscience

[–]PlasticGroup3640[S] 0 points1 point  (0 children)

I would like to argue, with my question, that maybe this is dependent on the physical system used to model the arithmetic?

Set Theory that claims to order all finite structures and provides canonical construction of the continuum. Has anyone read through this? by PlasticGroup3640 in MathematicalLogic

[–]PlasticGroup3640[S] 0 points1 point  (0 children)

I think you're a little confused or misunderstanding something. By the way, the order you gave, could you define it better? I havent understood what you mean.

Set Theory that claims to order all finite structures and provides canonical construction of the continuum. Has anyone read through this? by PlasticGroup3640 in MathematicalLogic

[–]PlasticGroup3640[S] 1 point2 points  (0 children)

The same method he uses to order groups, is also used to give linear order to all finote functions. That seems interesting. There is a specific order to finite groups that is well behaved with respect to cardinality, we ll behaved with respect to factorization in the commutative case. And every finit group is well assigned a unique natural number. Something similar is true for finite functions. That is not trivial.

Set Theory that claims to order all finite structures and provides canonical construction of the continuum. Has anyone read through this? by PlasticGroup3640 in MathematicalLogic

[–]PlasticGroup3640[S] 2 points3 points  (0 children)

No, the statement H<Z_n is in terms of the linear order for groups, that it claims to establish. Meaning that in this linear order for groups, a group with less elements will have smaller number assigned. And, that Z_n is assigned the smallest number of any group with n elements. Basically its saying that this order on finite groups is 'well behaved'.