1
vote
0answers
41 views

Is undecidability of arithmetic a corollary of Tarski undefinability theorem?

Arithmetic is undecidable, in other words the set of Godel numbers of theorems of arithmetic is not recursive, and so there is no algorithm/ recursive function to decide if a statement is provable or ...
4
votes
1answer
623 views

Karatsuba multiplication with integers of size 3

I understand how to apply Katarsuba multiplication in 2 digit integers. $$\begin{array} \quad & \quad & x & y \\ \times & \quad & z & w \\ \hline \quad ...
3
votes
1answer
286 views

Karatsuba Multiplication

Karatsuba's equation to reduce the amount of time it takes in brute force multiplication is as follows (I believe this is a divide-and-conquer algorithm): $$ x y = 10^n(ac) + 10^{n/2}(ad + bc) + bd ...
1
vote
2answers
450 views

The first four terms x, y, z, w of an arithmetic sequence

I have been attempting this question for the past 3 days with no luck: ...