Totally frivolous and nothing to do with NBTV

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Totally frivolous and nothing to do with NBTV

Postby Steve Anderson » Thu Oct 07, 2021 6:14 pm

A mathematical conundrum, there are many others too..one could say totally useless, but a novelty at the same time...

https://en.wikipedia.org/wiki/Collatz_conjecture

Just like Andrew mentioned here many years ago, why not have a device that continually displays the calculated number of pi to greater and greater precision? It's an apparently irrational number and potentially never ends. We don't know. Perhaps another almost futile exercise, but it's just a bit of fun.

So how far could a small PIC micro would get before it simply runs out of memory space? A novelty, yes. A waste of time, perhaps. It's been done before to far greater numbers than I could ever imagine, very true. So why bother?

"I don't know." would be my honest answer, "Why not?" my defense.

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Re: Totally frivolous and nothing to do with NBTV

Postby Viewmaster » Sat Oct 09, 2021 3:19 am

There are 3 types of people.
Those that are good at maths and those that aunt.
.........and some cannot spell either.
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Re: Totally frivolous and nothing to do with NBTV

Postby Dave Moll » Sat Oct 09, 2021 5:56 pm

Which reminds me of the signoff of a member on another forum to which I belong that goes something like:
"There are 10 types of people - those who understand binary and those who don't."
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Re: Totally frivolous and nothing to do with NBTV

Postby Klaas Robers » Sat Oct 09, 2021 8:17 pm

There are 3 types of medical doctors:

1: Surgeons, they don't know what happend, but they will repair it,
2: Internists: they can tell you precise what is wrong, but they can't do anything against it
3: Psychiatrists: they don't know what went wrong and they cannot repair it.

Unhappily I am at the moment in treatment of a cathegory 2 medical doctor.....
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Re: Totally frivolous and nothing to do with NBTV

Postby Viewmaster » Sat Oct 09, 2021 9:05 pm

Dave Moll wrote:Which reminds me of the signoff of a member on another forum to which I belong that goes something like:
"There are 10 types of people - those who understand binary and those who don't."


I only have one opinion about binary but on analogue it varies.
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Re: Totally frivolous and nothing to do with NBTV

Postby Steve Anderson » Sun Oct 10, 2021 11:38 am

Does anyone know of a Terminal Emulator for Win 10 that has a baud rate above 921,600? I use RealTerm and that's its maximum speed. It's just the software that's needed, the hardware is sorted out already...he hopes...

Though the manual for RealTerm does say that it can go at any speed the PC is capable of generating - just enter the number in the 'Speed Box', overwriting the standard rates. I've not tried that yet.

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Re: Totally frivolous and nothing to do with NBTV

Postby Steve Anderson » Mon Oct 11, 2021 6:25 pm

To continue...

"I used to be indecisive, but now I'm not so sure."

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Re: Totally frivolous and nothing to do with NBTV

Postby Viewmaster » Mon Oct 11, 2021 8:34 pm

Some people are good at spelling. Others aunt.
Others cannot spell SCHOOL. They incorrectly, put the first O after the second O.
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Re: Totally frivolous and nothing to do with NBTV

Postby Steve Anderson » Tue Oct 12, 2021 2:03 pm

OK, returning to the rather useless (it would appear) Collatz Conjecture...

Start with 1, that very quickly gets stuck in the terminal loop of 4,2,1,4,2,1...obviously 2 and 4 as well...3 also. Continue on in sequence testing all numbers incrementing the starting number by 1 each time. Try all up to 9 say, that gets 'stuck' too. Next 10 which being even is divided by 2, so 5. Now we've already tested 5 so halt and try 11 next. That gets 'stuck' also...

Next 12, becomes 6 - already tested. likewise 14, and it's true for all even numbers when working in this manner, so there is no point in testing even numbers. If there is an 'escape' from this conjecture it's gonna be an odd number. Tell me if I'm wrong here.

That's cut down the amount of time this takes by half, maybe(?)

So start at 1, when it gets 'stuck' increment the starting number by 2.

Also say when you reach 1001 the sequence runs 1001, 3004, 1502, 751, so if the sequence becomes less than the number you started with, halt, as 751 has already been tested and will get 'stuck' as well. I've no idea how much time this might save but with larger numbers it could be significant.

r.e. above...1001 becomes 3004, but that's even, as before there is no point in testing even numbers. So stop right there!

Does this solve/prove/disprove the conjecture? Or have I missed something?

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Re: Totally frivolous and nothing to do with NBTV

Postby Steve Anderson » Tue Oct 12, 2021 2:45 pm

Now as this has been tested up to 2^68, so you may as well start from there (if you really must), 2^68 is

0x10 00 00 00 00 00 00 00 00h Hex. (Nine bytes). Or..

295,147,905,179,352,825,856d Decimal.

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Re: Totally frivolous and nothing to do with NBTV

Postby Steve Anderson » Thu Oct 14, 2021 8:32 pm

Now, 2^68, let's get there first, irrespective of others who may already have done it already.

There's probably not enough time for this poor micro to get anywhere near it, but when I expire I can say I gave it a shot...

Note the battery arrangement even for the briefest of power outages...or up to several hours, even here they're very rare for more than a few seconds...not so 20 years ago...

Stupid and worthless idea? Yep, you bet!

A question a few may ask is why use a 28-pin device when there's so many pins free? The future implementations might/would be one response, but smaller (physically) devices mostly cannot reach these speeds...the white LED, "Record Set" is just whimsical hopefulness.

I wanted to reduce the +5V current consumption when power does fail. So the micro continues on with no real LED drain on the battery supply. If it's been running two years I don't want it to have to start over...therefore I need a way to replace the batteries without compromising that ethos...

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