797 reputation
2628
bio website
location Seattle, WA
age 70
visits member for 2 years, 4 months
seen yesterday

Contact: rudytoody.AT.comcast.DOT.net

I retired in 2006 and bought Mathematica and a stack of math books with the goal to teach myself to become a world-class mathematician. I am on pace to achieve that goal sometime shortly after the next Ice Age.

I consider myself a Mathematical Mutt (no papers) who occasionally ventures off the back porch to play in the yard with the big dogs.

I donate regularly to the The OEIS Foundation.

When I look at the patterns, I can hear the wheels turning. When I look at the math, I find out the hamsters have died.


Feb
11
comment Using Reduce on an inequality
@rasher, looks good. Is there any way to explain the steps?
Feb
11
asked Using Reduce on an inequality
Feb
2
accepted Question about inequality plot
Feb
2
comment Question about inequality plot
@murray, the plot expression is from WA
Feb
2
asked Question about inequality plot
Oct
3
comment How to optimize computing a product?
Possible duplicate mathematica.stackexchange.com/q/26732/973
Aug
6
accepted Collatz Tool Box — any speed ups possible?
Aug
6
answered Collatz Tool Box — any speed ups possible?
Aug
5
accepted Can we compile using only Integers Of Unusual Size?
Aug
5
comment Can we compile using only Integers Of Unusual Size?
@kirma, make that an answer and I will accept it.
Aug
5
asked Can we compile using only Integers Of Unusual Size?
Aug
3
revised Collatz Tool Box — any speed ups possible?
replaced uniqueRank to eliminate the `Floor`
Aug
3
revised Collatz Tool Box — any speed ups possible?
removed `|| 0 == w` from the `Break[]` which was a left-over from testing
Aug
2
revised Collatz Tool Box — any speed ups possible?
add final version of countOrbit
Aug
1
revised Collatz Tool Box — any speed ups possible?
replaced countOrbit with faster version
Aug
1
revised Collatz Tool Box — any speed ups possible?
added enhanced orbit count to example
Jul
31
revised Collatz Tool Box — any speed ups possible?
added one more function to replicate normal orbit counts
Jul
31
revised Collatz Tool Box — any speed ups possible?
added links to conjecture info
Jul
31
comment Collatz Tool Box — any speed ups possible?
@OleksandrR., also the $10^{477119}$ number is calculated in omegaSubOrbit[x] with x being the uniqueRank number. Both calculations are very quick--under 2 seconds.
Jul
31
comment Collatz Tool Box — any speed ups possible?
@OleksandrR.,no, I use my short-cut, which is what this is all about. Notice these numbers from the example: $4805005, 1903828$. The first is the count of multiplies required to get down to $1$ and the second is the number of sub orbits processed to get to that number. Each sub orbit contains its own length, so the first sub orbit adds $1000000$ to the count and moves on to the next sub orbit. So, the whole thing is done with a series of additions. The key is: IntegerExponent[x+1,2] applied to the first number of the sub orbit provides that count.