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What a great relief. I thought I had to nail a sign at my head reading: medium rare.BillTre said:I don't think I'll be sticking around long enough to get vaporized in that manner.
What a great relief. I thought I had to nail a sign at my head reading: medium rare.BillTre said:I don't think I'll be sticking around long enough to get vaporized in that manner.
Thank you, I'm aware of both the Cantor Set and The Mandelbrot Set. But, are all Fractals recursive, or can they be obtained by recursion?fresh_42 said:More famous is the Mandelbrot set (here: apple men).
Fractals are defined by self-similarity, not by recursions, but isn't this already a recursion?WWGD said:Thank you, I'm aware of both the Cantor Set and The Mandelbrot Set. But, are all Fractals recursive, or can they be obtained by recursion?
I'm kind of confused on whether the defining property is self-similarity or having non-Integer Hausdorff Dimension. Pretty sure all Fractals have non-Integer Hausdorff dimensions, but self-similarity may not imply fractal. A standard circle or square would be such ( counter) example.fresh_42 said:Fractals are defined by self-similarity, not by recursions, but isn't this already a recursion?
https://arxiv.org/abs/1010.4474
I guess UK has made a full transition to Metric. Otherwise something seriously wrong there, at least in Cambford.ergospherical said:40 degrees on monday here in the uk. thankfully in the lab we will be working with liquid helium. for making gelato, probably.
I assume 40°C in the lab, 40°K for the helium. Both SI units.WWGD said:I guess UK has made a full transition to Metric. Otherwise something seriously wrong there, at least in Cambford.
Anything which can be computed using recursion can be computed without recursion and visa versa. So the question boils down to asking wether all fractals are computable.WWGD said:Thank you, I'm aware of both the Cantor Set and The Mandelbrot Set. But, are all Fractals recursive, or can they be obtained by recursion?
Formally, a fractal is a Topological space with Fractional Hausdorff dimension. It is a space that cannot quite be qualified as being n-dimensional, for n a Natural number.Jarvis323 said:Anything which can be computed using recursion can be computed without recursion and visa versa. So the question boils down to asking wether all fractals are computable.
I don't know if the definition of a fractal is clear enough to answer. If we are talking about an instance of a fractal then yes, in a trivial way, you can multiply an uncomputable real number with each coordinate value.
Besides a trivial example like that, and if we factor out all of those kinds of non-essential factors like noise, I'm not sure. How about a fractal which switches between two rules periodically as it recurses, but uses an uncomputable sequence to determine if it will switch or not at the start of each period? Then it is morphing unredictably between different fractals. Is that a fractal?
But I am curious as to your claim that any recursive computation can also be accomplished without recursion. I'm aware of specific cases when this is true , but not of any result to this effect.Jarvis323 said:Anything which can be computed using recursion can be computed without recursion and visa versa. So the question boils down to asking wether all fractals are computable.
I don't know if the definition of a fractal is clear enough to answer. If we are talking about an instance of a fractal then yes, in a trivial way, you can multiply an uncomputable real number with each coordinate value.
Besides a trivial example like that, and if we factor out all of those kinds of non-essential factors like noise, I'm not sure. How about a fractal which switches between two rules periodically as it recurses, but uses an uncomputable sequence to determine if it will switch or not at the start of each period? Then it is morphing unredictably between different fractals. Is that a fractal?
Linguistic pet peeve:Jarvis323 said:visa versa
A good ad would be the other way around.WWGD said:Large print:
" Our Lawyers Average 15 years of Tax Experience"
Tiny print :
" And 5 years in Prison".
Laxatives? Tampons? Hernia Truss?LCSphysicist said:I can't understand advertisement of products these days anymore...
It is all about people dancing, singing, the advertisement ends and i have no idea what product they were trying to sell/talking about.
Lawyers and the U.S. Marine Core Base Camp Lejeune lawsuit about polluted water:strangerep said:Laxatives? Tampons? Hernia Truss?
Maybe all in one? And an AM/FM radio and Swiss Army knife too.strangerep said:Laxatives? Tampons? Hernia Truss?
Probably a remote procedure call prior to going offline, this is only a theory but Magic is a long shot.WWGD said:Magic? How does Windows update when I'm not even online?
Dark magic: by some automatic settings it'll download the files beforehand and do the restarts outside 'active hours' on its own initiative, without asking anything.WWGD said:Magic? How does Windows update when I'm not even online?
Big Brother is not only watching you, he's patching your machine for you.WWGD said:Magic? How does Windows update when I'm not even online?
It's all in the presentation.kyphysics said:YET, IT'S THE SAME FOOD ITEM!
It's day 5 for me , of spending 20 consecutive minutes sitting down doing nothing.fresh_42 said:It's day 106 and I still want to smoke.
He sells his 5 castles, 4 Burmese Pythons, the 7 World's Tallest Dwarfs, his 18th century Iron Maidens, his DeLorean, and he may be ready to pay his debts.fresh_42 said:
Hang in there, it's worth it. I stopped over ten years ago, still, sometimes... nope no way. It's nice to be able to breathe when you need to.fresh_42 said:It's day 106 and I still want to smoke.
The worst are the perfume adverts.LCSphysicist said:I can't understand advertisement of products these days anymore...
It is all about people dancing, singing, the advertisement ends and i have no idea what product they were trying to sell/talking about.
Orodruin said:I hear the easiest way to stop smoking is to never start.
fresh_42 said:It's day 106 and I still want to smoke.
WWGD said:" Today's the first day of the end of your life"?
Oldman too said:Hang in there, it's worth it. I stopped over ten years ago, still, sometimes... nope no way. It's nice to be able to breathe when you need to.![]()
Smoke, or STROKE; it's a HARD lesson.Tom.G said:Quitting took me three attempts before it stuck. Now, >40yrs later, I still occassionally think about lighting up! Argghh!![]()
Just keep aiming for the next prime number in days.fresh_42 said:It's day 106 and I still want to smoke.
I have written a little App that tells me the day. It also tells me what I would throw away if I made an exception.Astronuc said:Just keep aiming for the next prime number in days.
I watched my wife go through the withdrawal process. She used nicotine gum to curb the urge. She had been smoking since she was 16 (a high school thing some kids adopted). She had smoked for about 15 years, when she decided to quit. She didn't want to be smoking and having kids.fresh_42 said:I have written a little App that tells me the day. It also tells me what I would throw away if I made an exception.
The biochemical addiction is only a couple of days, a few weeks at most. But the mental temptation ...Astronuc said:She also worked briefly as a drug/alcohol (substance abuse) and mental health counselor, and she didn't feel right about encouraging others to quit substance abuse while she was addicted to nicotine.
That sums things up perfectly, everyone focuses on the respiratory issues, not that it isn't of critically important, It's just that the vascular aspect doesn't get the attention it deserves. From personal experience, there's more connection than just rhyming between smoke and stroke.Bystander said:Smoke, or STROKE; it's a HARD lesson.
Hmm,... so if it doesn't stink then the person must be of true ancient royal lineage? Or were they analyzing for traces of precious metals? Or, to examine whether the poop is slightly barbequed, proving that the sun does indeed shine brightly out of their... <ahem> ?Astronuc said:[...] some scientists back in the day used to analyze royal poop.
Ive been doing my labs for a while now.Oldman too said:One need not be a coprophile to be interested in coprolites, the study of poop is an important branch of archaeology. https://www.archaeology.org/index.php/search-page?q=coprolites&search=Go
https://www.sciencedirect.com/science/article/pii/S0012825220302427
I sure hope everything comes out alright.WWGD said:Ive been doing my labs for a while now.
WWGD said:Mandatory Summer song:
I don't exactly like this song. It is part of my childhood so I have affection for it.
It has has been used in commercials and that is one way to sully an old song. I think it has diminished it over the years when I hear it now.
Agree though, quirky summer song.