So, you're saying that for a recognised (but unpopular) rounding method which you have yourself stated, just not the one used in your example, what I said is true?
A cat has been chasing a mouse for months. He's never been able to quite get hold of it! Every time, the mouse either jumps into a hole, hides under a sofa, or skips off somewhere else just out of reach, and the mouse is fed up. The mouse says to the cat "Ok, I'm fed up. I don't want to be chased anymore. I'm tired and old, and the chase is too much." The cat is obviously elated! "I'll make you a deal, Mr Cat" says the mouse. "I will stop running and let you catch me, but only if you move half of the distance towards me with each step!" The cat can't believe his luck! "Of course! Of course, I will only move half the distance with each step, as long as you do not run from me anymore!" To which the mouse sits down gently, safe in the knowledge that he will never be caught by the cat. After all, no matter how close the cat gets, he can only get half the distance closer with each step...
TL;DR: 0.999... != 1. It's just really, really close. I don't care what number say; If you can show me an infinite accuracy measuring device, I'll show you a 0.999... unit of length structure is not 1 unit of length.
I don't even read the stubs anymore. I only read this one because I didn't know what "Dota" was. I come here because Ars doesn't have the breadth of articles I'm interested in, and El Reg is essentially the Daily Mail of IT news. The comments here are often informative or insightful.
In short, I only comment on the editors when I'm forced to read the dross they pump out. It's not often, but it seems every time I read it I'm disappointed.
"Just over a year after hiring IceFrog, the lead developer of the wildly popular DotA Allstars mod for Warcraft III, and the speculation surrounding Valve's recent trademark filing for the 'DotA' name, Valve has officially announced Dota 2. Gameplay of Dota 2 is being ported 'exactly' from the current DotA Allstars and includes every hero, but vast improvements are being made to the game including VoIP, a coaching system, in-game rewards, and AI that takes over for disconnected players. Lastly, it all runs on top of the Source engine. (GameInformer's website appears to be struggling right now though, as they had an exclusive on this story.)"
Soulskill, God only knows how you became an editor, but you certainly shouldn't be one much longer.
Jesus, between kdawson, samzenpus, and Soulskill there doesn't seem to be anyone who knows what the they're meant to be doing as editors anymore. kdawson takes hyperbole and states it as solid fact, samzenpus seems to have had his account hijacked by kdaweson, and Soulskill just doesn't seem to bother actually reading anything he submits.
Fire up the on-screen software keyboard. If you have any students at all who have reduced mobility in their hands / arms, it'll be on every computer across the campus.
No sane, unbiased tech person would have put the word "Pirate" in the title relating to this story. Even the linked Reg story calls him a "Rogue Engineer" and we all know Orlowski is first to bash any "freetards".
Does that minus sign next to the story title do anything? I'm going to press it anyway.
They may well apply MAC filtering and tie that in with the NAT IP. Yeah, we know they can be spoofed, but does the PHB on an expenses-paid junket care about that?
That sure would make it a very appealing target for industrial espionage.
"What was on that disk, Bob?" "Just some random words! 'Korea' 'Supply' 'Refining technology' 'Nuclear' 'Weapons' and some other things about presidents and sexual favours from secretaries." "Hmmm..."
It's not difficult at all. The robber stealing a few k's from the post office is nothing. Head to Iran, Iraq, Afghanistan, Pakistan, and all the other places OBLaden is supposed to be hiding, fish the scumbag out and deposit him in the arms of the UN. Next, head over to North Korea and destroy their nuclear program, as nobody that mental should have the capability of destroying an entire country at the push of a button. Once they're fine, use your super-awesome power to take a nuke blast to the face, pronounce nuclear weapons useless and get everyone disarmed. Invest the tech in energy supplies, probably more into fusion research, free energy for everyone, life is great, travel to the moon, colonise the moon, fly to mars, colonise mars, bla bla bla.
Jesus, I can't be the only nerd kid to have thought of this!
They probably asked some 14 year olds who had just watched The Watchmen. "Hey, you! Dr Manhattan or Night Owl?" "Are you kidding? Night Owl was a fat old dude with a ship that looked like a dirty boiled egg! I want to blow people into gibs by waving my hands!" "Cool, good guy explosion of people? Like to stop tyranny?" "No way man! Super awesome bad guy gibs of ponies and people who love ponies! PEW PEW!"
He should have stopped at 95%. Everyone knows the last 5% of a drink is saliva, so everyone past the 10th or so isn't getting any beer at all.
It's ok, I've been schooled enough. Calculus, infinite series, convergence, Limits, Zeno's Paradox. Thanks all!
Interesting. Thanks for that. Maths was never my thing.
Thank god the cat doesn't know that either.
At what point along your series did 0.000...9 become anything other than that? That's what your example would require.
Ideas want to be free.
Please share yours.
Yet not when there are an infinite number of nines.
It's an imperfect use of the wrong tool of representing an abstract number. As an AC posted below, 1/3 = 0.333... and 0.333... * 3 = 0.999...
This is just a quirk. An interesting quirk, but essentially a waste of brain cycles.
So, you're saying that for a recognised (but unpopular) rounding method which you have yourself stated, just not the one used in your example, what I said is true?
Glad we cleared that up.
In the case above, the same sufficiently large values of 2 also mean that 2+2=6 to 1s.f.
Maths is fun!
A cat has been chasing a mouse for months. He's never been able to quite get hold of it! Every time, the mouse either jumps into a hole, hides under a sofa, or skips off somewhere else just out of reach, and the mouse is fed up. The mouse says to the cat "Ok, I'm fed up. I don't want to be chased anymore. I'm tired and old, and the chase is too much." The cat is obviously elated! "I'll make you a deal, Mr Cat" says the mouse. "I will stop running and let you catch me, but only if you move half of the distance towards me with each step!"
The cat can't believe his luck! "Of course! Of course, I will only move half the distance with each step, as long as you do not run from me anymore!"
To which the mouse sits down gently, safe in the knowledge that he will never be caught by the cat. After all, no matter how close the cat gets, he can only get half the distance closer with each step...
TL;DR: 0.999... != 1. It's just really, really close. I don't care what number say; If you can show me an infinite accuracy measuring device, I'll show you a 0.999... unit of length structure is not 1 unit of length.
Who says I come here for the articles?
I don't even read the stubs anymore. I only read this one because I didn't know what "Dota" was. I come here because Ars doesn't have the breadth of articles I'm interested in, and El Reg is essentially the Daily Mail of IT news. The comments here are often informative or insightful.
In short, I only comment on the editors when I'm forced to read the dross they pump out. It's not often, but it seems every time I read it I'm disappointed.
Valve announces Dota 2
"Just over a year after hiring IceFrog, the lead developer of the wildly popular DotA Allstars mod for Warcraft III, and the speculation surrounding Valve's recent trademark filing for the 'DotA' name, Valve has officially announced Dota 2. Gameplay of Dota 2 is being ported 'exactly' from the current DotA Allstars and includes every hero, but vast improvements are being made to the game including VoIP, a coaching system, in-game rewards, and AI that takes over for disconnected players. Lastly, it all runs on top of the Source engine. (GameInformer's website appears to be struggling right now though, as they had an exclusive on this story.)"
Soulskill, God only knows how you became an editor, but you certainly shouldn't be one much longer.
Jesus, between kdawson, samzenpus, and Soulskill there doesn't seem to be anyone who knows what the they're meant to be doing as editors anymore. kdawson takes hyperbole and states it as solid fact, samzenpus seems to have had his account hijacked by kdaweson, and Soulskill just doesn't seem to bother actually reading anything he submits.
Oh I don't know. I'm useless as a skeleton in the ground. If my tibia can be used to brace some burrowing mammal's new dinning area, I'm all for it.
A little macabre, but then again so are a lot of the old religions. Maybe they're catching up.
Already done
Facebook have a great solution for keeping your information private.
If you don't like what they do with your data, don't give it to them. Nobody is putting a pistol to your head.
Fire up the on-screen software keyboard. If you have any students at all who have reduced mobility in their hands / arms, it'll be on every computer across the campus.
No sane, unbiased tech person would have put the word "Pirate" in the title relating to this story. Even the linked Reg story calls him a "Rogue Engineer" and we all know Orlowski is first to bash any "freetards".
Does that minus sign next to the story title do anything? I'm going to press it anyway.
It worked for "... using a computer!11"
They may well apply MAC filtering and tie that in with the NAT IP. Yeah, we know they can be spoofed, but does the PHB on an expenses-paid junket care about that?
Depending on what you see, just looking can be quite exciting. In both situations.
That sure would make it a very appealing target for industrial espionage.
"What was on that disk, Bob?"
"Just some random words! 'Korea' 'Supply' 'Refining technology' 'Nuclear' 'Weapons' and some other things about presidents and sexual favours from secretaries."
"Hmmm..."
No, he just wants to be a target for muggings.
You think he gets invited?
God doesn't have a religion.
It's not difficult at all. The robber stealing a few k's from the post office is nothing. Head to Iran, Iraq, Afghanistan, Pakistan, and all the other places OBLaden is supposed to be hiding, fish the scumbag out and deposit him in the arms of the UN. Next, head over to North Korea and destroy their nuclear program, as nobody that mental should have the capability of destroying an entire country at the push of a button. Once they're fine, use your super-awesome power to take a nuke blast to the face, pronounce nuclear weapons useless and get everyone disarmed. Invest the tech in energy supplies, probably more into fusion research, free energy for everyone, life is great, travel to the moon, colonise the moon, fly to mars, colonise mars, bla bla bla.
Jesus, I can't be the only nerd kid to have thought of this!
They probably asked some 14 year olds who had just watched The Watchmen. "Hey, you! Dr Manhattan or Night Owl?" "Are you kidding? Night Owl was a fat old dude with a ship that looked like a dirty boiled egg! I want to blow people into gibs by waving my hands!" "Cool, good guy explosion of people? Like to stop tyranny?" "No way man! Super awesome bad guy gibs of ponies and people who love ponies! PEW PEW!"