fivetoadsloth
Apr 10, 02:12 AM
I didn't quite read the whole thread, and I've seen people trying to present definitive answers representing multiple possible answers. While I don't claim to be an end all source, math is one thing that I can do and do understand.
I was tempted not to post, but, I think understanding the order of operations (http://en.wikipedia.org/wiki/Order_of_operations)/etc is something that is relatively important.
Multiple people have quoted the order : P(arenthes) E(xponents) M(ultiplication) D(ivision) A(ddition) S(ubtraction).
As stated, that is NOT totally accurate. Multiplication and division are the same operation, as are addition and subtraction. Thus, the order between them can be flipped. That is, P E D M A S is true, as is P E D M S A, as is P E M D S A.
If multiplication and division both appear you go from LEFT to RIGHT.
Parenthesis are implied multiplication.
So, first, in the parenthesis we have 12, so, 48/2(12). As that is written, one does 48/2=24*12. So, as the problem is written, the answer is 288. While the method of writing the problem is certainly not the best, the problem does, to my knowledge, only have one true answer.
An important note: not all calculators correctly apply the orders of operations. Any scientific calculator form the last 5 years or so should, and if it is outputting anything other then 288 I would be interested in knowing. Some pocket calulators with + - x � just go left to right.
Wolfram is, as usual, right. (http://www.wolframalpha.com/input/?i=48%2F2%289%2B3%29)
I was tempted not to post, but, I think understanding the order of operations (http://en.wikipedia.org/wiki/Order_of_operations)/etc is something that is relatively important.
Multiple people have quoted the order : P(arenthes) E(xponents) M(ultiplication) D(ivision) A(ddition) S(ubtraction).
As stated, that is NOT totally accurate. Multiplication and division are the same operation, as are addition and subtraction. Thus, the order between them can be flipped. That is, P E D M A S is true, as is P E D M S A, as is P E M D S A.
If multiplication and division both appear you go from LEFT to RIGHT.
Parenthesis are implied multiplication.
So, first, in the parenthesis we have 12, so, 48/2(12). As that is written, one does 48/2=24*12. So, as the problem is written, the answer is 288. While the method of writing the problem is certainly not the best, the problem does, to my knowledge, only have one true answer.
An important note: not all calculators correctly apply the orders of operations. Any scientific calculator form the last 5 years or so should, and if it is outputting anything other then 288 I would be interested in knowing. Some pocket calulators with + - x � just go left to right.
Wolfram is, as usual, right. (http://www.wolframalpha.com/input/?i=48%2F2%289%2B3%29)
tazinlwfl
Apr 25, 09:19 AM
I urge anyone who is a regular Macrumors reader to ignore anyone labeled as Newbie in threads/discussions on this tracking/location issue. Most are trolls.
I've been reading MacRumors for years - only added to the discussion a few times since 08. Not a troll, but still considered a "newbie". :D
I've been reading MacRumors for years - only added to the discussion a few times since 08. Not a troll, but still considered a "newbie". :D
Icy1007
May 6, 01:27 AM
I seriously doubt that this will happen. ARM processors will never be able to compete with even AMD processors, let alone Intel processors. Leave ARM where it belongs. In the tablet/ultra portable market.
Frobozz
May 4, 03:34 PM
What I don't understand is even if it's distributed through the Mac App Store, does Apple expect us to burn it on dvd or make a bootable usb?
I don't know if every mac user will even be able to do that, this may work for those looking to upgrade, but a fresh install will require dvd/usb..
This problem has been solved by the digital download business for years. Since every Mac, with the exception of the MB Air, comes with a standard superdrive, the consumer could burn their own copy for emergencies. Alternatively, there is usually a small fee to be sent a physical disc from the software provider.
While everyone has wildly different experiences with this-- I personally have not needed a Mac install DVD for an re-install / emergency in over 6 years.
I don't know if every mac user will even be able to do that, this may work for those looking to upgrade, but a fresh install will require dvd/usb..
This problem has been solved by the digital download business for years. Since every Mac, with the exception of the MB Air, comes with a standard superdrive, the consumer could burn their own copy for emergencies. Alternatively, there is usually a small fee to be sent a physical disc from the software provider.
While everyone has wildly different experiences with this-- I personally have not needed a Mac install DVD for an re-install / emergency in over 6 years.
Object-X
Nov 22, 01:32 AM
The problem with Palm is they are on their way out. They got what? Treo? How long can that last? PDAs are over. So it's all about the phones now.
They have to be worried. Apple has the midas touch. Whatever Apple get's into they change. Apple has a way of innovation that changes all of the dynamics. They weren't the first with the iPod, but their entrance into digital music has changed the whole music industry, not just digital music players.
Apple could very well do the same thing with an Apple branded phone. Integrating it into the whole computer experiance in ways we can't even predict. To claim it takes years to make a phone "right" is just proof that Palm has very little to offer.
The future of phone technology is going to change rapidly and dramically over the next few years. Apple can make billions of dollars in this market. They are going to go for it, and they will leverage their existing products to make it happen and to offer something new. Everyone is fixated on the iPod, but it's the integration with OS X that has the most interesting potential.
Video iChat on your phone? Internet services? Email? Address? Calendar? Have you used a Palm or Blackberry? They are OK for what they do, but they could be so much better...a lot better. What they are missing is exactly what Apple has to offer -- and it isn't music.
They have to be worried. Apple has the midas touch. Whatever Apple get's into they change. Apple has a way of innovation that changes all of the dynamics. They weren't the first with the iPod, but their entrance into digital music has changed the whole music industry, not just digital music players.
Apple could very well do the same thing with an Apple branded phone. Integrating it into the whole computer experiance in ways we can't even predict. To claim it takes years to make a phone "right" is just proof that Palm has very little to offer.
The future of phone technology is going to change rapidly and dramically over the next few years. Apple can make billions of dollars in this market. They are going to go for it, and they will leverage their existing products to make it happen and to offer something new. Everyone is fixated on the iPod, but it's the integration with OS X that has the most interesting potential.
Video iChat on your phone? Internet services? Email? Address? Calendar? Have you used a Palm or Blackberry? They are OK for what they do, but they could be so much better...a lot better. What they are missing is exactly what Apple has to offer -- and it isn't music.
jholzner
Aug 11, 02:00 PM
No, my point is that I think Apple will continue to do what it's always done, and that those arguing that they'll suddenly treat product announcements differently just because their chips are now supplied by Intel are only speculating.
Well, they released the Macbook with nothing more than a press release and an update to their site. This product had a complete make over and looks almost nothing like the iBook it replaced. Why no special event? I think things WILL be changing due to the Intel transition. They will have to treat announcements differently. No more will there be a year between speed increases etc.
Well, they released the Macbook with nothing more than a press release and an update to their site. This product had a complete make over and looks almost nothing like the iBook it replaced. Why no special event? I think things WILL be changing due to the Intel transition. They will have to treat announcements differently. No more will there be a year between speed increases etc.
SiliconAddict
Nov 22, 11:16 PM
Palm makes nothing but garbage.
The management of the company, in fact, was so pathetic that they ended up selling out to big MS and making PPC-based phones like everyone else. Ever since that day, I have no interest for any of the garbage they make - and I was lusting after their stupid overpriced and ugly PDA phones before they made that decision.
They sold out to MS because the idiots at Palm couldn't find their butt with a flashlight and both hands. Seriously in 2001 the CEO of Palm stood infront of a crowd at CES and stated our users don't want color, sound etc. It was the beginning of the end because by the time they figured out that yes. Not only do users want color and sound they also want the ability to multitask. Something that POS (Notice that Palm OS and Peice of **** share the same acronym.) STILL to this day doesn't really do. Well it sort of does it in a craptacular manner. My point is Palm doomed them selves because they had management who didn't have a clue or simply didn't have the resources to really revamp the OS from the ground up. I'm willing to bet there is legacy code in POS that dates back to v1. Because POS never had its OS X its Windows 2000. It never had its rewrite. All Palm has been doing is slapping on a new addition to the house and calling it NEW and improved!
It isn't. It sucks and the Pocket PC or Windows Mobile (ick I hate that name.) kicks the living snot out of POS right now in pretty much every way imaginable. Heck Palm is so lost that they are trying to pull an Apple. they purchased some *nix company in China that has experience with mobile versions of *nix and right now is trying to migrate POS over to a *nix flavor of OS.
Unfortunately unlike Apple its too little, too late.
Palm went to Windows because they didn't want to stay stuck in the mobile equivalent of DOS.
The management of the company, in fact, was so pathetic that they ended up selling out to big MS and making PPC-based phones like everyone else. Ever since that day, I have no interest for any of the garbage they make - and I was lusting after their stupid overpriced and ugly PDA phones before they made that decision.
They sold out to MS because the idiots at Palm couldn't find their butt with a flashlight and both hands. Seriously in 2001 the CEO of Palm stood infront of a crowd at CES and stated our users don't want color, sound etc. It was the beginning of the end because by the time they figured out that yes. Not only do users want color and sound they also want the ability to multitask. Something that POS (Notice that Palm OS and Peice of **** share the same acronym.) STILL to this day doesn't really do. Well it sort of does it in a craptacular manner. My point is Palm doomed them selves because they had management who didn't have a clue or simply didn't have the resources to really revamp the OS from the ground up. I'm willing to bet there is legacy code in POS that dates back to v1. Because POS never had its OS X its Windows 2000. It never had its rewrite. All Palm has been doing is slapping on a new addition to the house and calling it NEW and improved!
It isn't. It sucks and the Pocket PC or Windows Mobile (ick I hate that name.) kicks the living snot out of POS right now in pretty much every way imaginable. Heck Palm is so lost that they are trying to pull an Apple. they purchased some *nix company in China that has experience with mobile versions of *nix and right now is trying to migrate POS over to a *nix flavor of OS.
Unfortunately unlike Apple its too little, too late.
Palm went to Windows because they didn't want to stay stuck in the mobile equivalent of DOS.
ntg
Aug 7, 05:08 PM
The power supply is on top like the rumor sites said it would be. This seems like a stupid design decision to me. The power cord will hang over everything else. They probably did it out of necessity, but my dual G5 is still prettier.
simple, really - heat rises...;)
simple, really - heat rises...;)
wclyffe
Jan 6, 04:41 PM
I've had mine since November, generally use it in the horizontal position, and haven't had problems with it rattling (and I've got a car with a not-very-smooth-ride). That would suggest that the mechanism is not always loose. I am nervous about it wearing loose over time, because it is surprisingly easy to move by hand, and seems kind of delicate.
tstreete, nice to see you are still checking in...I remember you were one of the first to get a car kit. In the landscape view, my unit does not rattle, but in the vertical position it rattles a lot and I often keep it like this to charge the phone or listen to music, etc when I'm not using the nav app. I'm going to exchange it and see how I fair while waiting to see what the word on the Magellan kit is. Thanks for your help.
tstreete, nice to see you are still checking in...I remember you were one of the first to get a car kit. In the landscape view, my unit does not rattle, but in the vertical position it rattles a lot and I often keep it like this to charge the phone or listen to music, etc when I'm not using the nav app. I'm going to exchange it and see how I fair while waiting to see what the word on the Magellan kit is. Thanks for your help.
kavika411
Mar 29, 08:43 AM
I'm glad Amazon rolled this out before Apple in the sense that I hope it pushes Apple to roll out a cloud subscription that handily beats Amazon's offering.
SandynJosh
Nov 23, 03:12 PM
Someone who worked across the aisle from me had a PowerCD connected to his Mac and it was really nice, but it was way too expensive. Then again, you could say that about any of the equipment at the time. It's become much better but the value is often not apparent to the majority of the people.
If I remember right, when a person removed the PowerCD from its stand to listen to the music on the run it failed to give good performance. Apple forgot to include any buffer memory and skips were more the event then not. At the time, less expenisive protable CD players had such buffer memory, so it was a real dumb move on Apple's part.
If I remember right, when a person removed the PowerCD from its stand to listen to the music on the run it failed to give good performance. Apple forgot to include any buffer memory and skips were more the event then not. At the time, less expenisive protable CD players had such buffer memory, so it was a real dumb move on Apple's part.
petvas
May 4, 03:16 PM
The entire idea of restoring from a Time Machine backup has always been illogical to me.
If Time Machine backs up everything, then it backs up whatever problems you had that resulted in your need for restore.
Time Machine has limited real use, and its basically limited to accidentally deleting things.
Not exactly. You can always choose to go back to another date in the past.
If Time Machine backs up everything, then it backs up whatever problems you had that resulted in your need for restore.
Time Machine has limited real use, and its basically limited to accidentally deleting things.
Not exactly. You can always choose to go back to another date in the past.
Cougarcat
May 4, 07:07 PM
That doesn't mean the App Store version is. Only that the "pirated" versions are. They could have been made bootable after the fact.
Quite true, I'm pretty sure it was. But at least it's possible somehow.
I don't see how Apple could get away with not having a way to make an install backup. The recovery partition is not good enough. It's a fact of life that hard drives die.
Come on Apple, that's just being cheap. Great, so let the user download the image and then what? Now they have to burn it to a DVD (probably a double-layer DVD too, which are a lot more expensive than a regular single-layer DVD). I love the App Store concept, but not for OS releases like this. And no way in hell am I using some "upgrade" option instead of a clean install.
1. You don't need to burn it to DVD to install it.
2. You can still wipe the disk via Disk Utility in the installer if you want to do a clean install. For separate disks/partitions at the moment, I think.
Quite true, I'm pretty sure it was. But at least it's possible somehow.
I don't see how Apple could get away with not having a way to make an install backup. The recovery partition is not good enough. It's a fact of life that hard drives die.
Come on Apple, that's just being cheap. Great, so let the user download the image and then what? Now they have to burn it to a DVD (probably a double-layer DVD too, which are a lot more expensive than a regular single-layer DVD). I love the App Store concept, but not for OS releases like this. And no way in hell am I using some "upgrade" option instead of a clean install.
1. You don't need to burn it to DVD to install it.
2. You can still wipe the disk via Disk Utility in the installer if you want to do a clean install. For separate disks/partitions at the moment, I think.
Stella
Apr 5, 02:18 PM
Not really.
JB is not illegal, its my right to JB my device. Sure, it voids your warranty - but thats a risk.
Apple may say its illegal, but Apple's word does not override the law of the land.
JB is not illegal, its my right to JB my device. Sure, it voids your warranty - but thats a risk.
Apple may say its illegal, but Apple's word does not override the law of the land.
Linito
Dec 4, 01:33 PM
salmon, you hit the nail on the head with that post. A device like that would be amazing, I could totally see myself using it in classes, etc. And though I'm not sure about the $300 price point, but I think its completely doable for under $1000.
if they could make it sub $800 they would take the education market by storm:cool:
if they could make it sub $800 they would take the education market by storm:cool:
CalBoy
May 3, 10:23 PM
The advantage you're talking about here is one of degrees. One may be slightly faster than the other, but it's not a revolutionary shift to a better system. I would compare this sort of change to a small upgrade in processing power. The advantages of the metric system over imperial run much deeper than that, so it's a poor analogy.
Can you cite reliable figures for the cost advantage versus the cost to switch?
Can you cite reliable figures for the cost advantage versus the cost to switch?
aohus
Apr 18, 03:54 PM
shame really that Apple is resorting to Microsoft-esque tactics. If you can't beat em, just sue em, mentality.
Thats like saying that Coca-Cola should sue Pepsi
Xerox PARC should have aggressively sued Apple when the GUI was becoming commercialized.
NO, Apple did not invent the first GUI Operating System. Xerox made the first GUI in their Alto systems. Xerox only sued (late for that matter) when Apple sued Microsoft for their GUI OS (Windows).
http://upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Xerox_Alto.jpg/240px-Xerox_Alto.jpg
Thats like saying that Coca-Cola should sue Pepsi
Xerox PARC should have aggressively sued Apple when the GUI was becoming commercialized.
NO, Apple did not invent the first GUI Operating System. Xerox made the first GUI in their Alto systems. Xerox only sued (late for that matter) when Apple sued Microsoft for their GUI OS (Windows).
http://upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Xerox_Alto.jpg/240px-Xerox_Alto.jpg
skinnylegs
Mar 29, 09:07 AM
As much as I enjoy Apple products and services, it's nice seeing someone beat them to the punch. This can only be a good thing for all of us.
I see cloud services as an exciting technology. I'm rockin a Macbook Air and the only files I keep on the 64 GB SSD are documents. All music, pictures, video and movies are on a 500 GB external HD. Obviously it requires little or no effort to plug said external HD into the Air but it would be nice to shed it. It would also be nice not having to sync music over to the iPhone.
I say bring it on!
I see cloud services as an exciting technology. I'm rockin a Macbook Air and the only files I keep on the 64 GB SSD are documents. All music, pictures, video and movies are on a 500 GB external HD. Obviously it requires little or no effort to plug said external HD into the Air but it would be nice to shed it. It would also be nice not having to sync music over to the iPhone.
I say bring it on!
balamw
Apr 11, 01:06 AM
Surely we should not interpret everything following the first division symbol as belonging in the denominator, including an additional fraction.
You've just stumbled on a new notation for continued fractions (http://en.wikipedia.org/wiki/Continued_fraction). Oh wait, we already have better ways of representing that.
:p
The only way it would be 288 is if it was written:
48/[2(9+3)]
Where do the square brackets fall in your interpretation of PE(MD)(AS) + left to right? And how in the name of all that is holy can you interpret that as giving 288 instead of 2. Wouldn't 288 require [2(9+3)] to evaluate to (1/6) so the final answer would be 48*6 = 228. I would have expected [48/2](9+3).
B
You've just stumbled on a new notation for continued fractions (http://en.wikipedia.org/wiki/Continued_fraction). Oh wait, we already have better ways of representing that.
:p
The only way it would be 288 is if it was written:
48/[2(9+3)]
Where do the square brackets fall in your interpretation of PE(MD)(AS) + left to right? And how in the name of all that is holy can you interpret that as giving 288 instead of 2. Wouldn't 288 require [2(9+3)] to evaluate to (1/6) so the final answer would be 48*6 = 228. I would have expected [48/2](9+3).
B
whenpaulsparks
Aug 2, 11:13 AM
finally someone reasonable! so many of you flippin fools don't realize what WWDC stands for...
World wide DEVELOPER'S conference!
this is about professional stuff. in they launched the powermac g5, because developers could then write 64-bit apps. in they discussed tiger (and i think launched new pro displays) so that users could write stuff using core image and all the cool new tiger features. in they announced the transition to intel, because devs could now write stuff for the intel platform (and i don't think they really announced anything else AFAICR...). so in they are going to talk about leopard and how it relates to developers, and maybe release PROFESSIONAL products, like a mac pro or xserve.
you have got to be CRAZY to think that he's going to intro an ipod at WWDC, when MW Paris is right around the corner! MW Paris in september is pretty much ALWAYS when they intro ipods and consumer products this time of year.
edit: last year, they had a special media event around october to intro the imac g5 with isight and video ipod and did not have anything at MW Paris. this will probably be the same this year.
World wide DEVELOPER'S conference!
this is about professional stuff. in they launched the powermac g5, because developers could then write 64-bit apps. in they discussed tiger (and i think launched new pro displays) so that users could write stuff using core image and all the cool new tiger features. in they announced the transition to intel, because devs could now write stuff for the intel platform (and i don't think they really announced anything else AFAICR...). so in they are going to talk about leopard and how it relates to developers, and maybe release PROFESSIONAL products, like a mac pro or xserve.
you have got to be CRAZY to think that he's going to intro an ipod at WWDC, when MW Paris is right around the corner! MW Paris in september is pretty much ALWAYS when they intro ipods and consumer products this time of year.
edit: last year, they had a special media event around october to intro the imac g5 with isight and video ipod and did not have anything at MW Paris. this will probably be the same this year.
MacNut
May 3, 01:36 AM
I prefer my summer temperatures getting out of the 30's.:p
BC2009
Mar 28, 11:02 AM
I'm actually feeling pretty good about delaying the next iPhone and iOS version until September. Not only because it puts it closer to mine and my wife's birthdays (iPhones make good birthday gifts for one another), but I think it increases the chances of:
- Seriously Improved Notification System
- Major Cloud-Based MobileMe Improvements
- Likelihood of an LTE iPhone 5
My wallet just took a hit on the iPad 2 and my iPhone 3GS is still going pretty strong, so I am good with waiting if it means more. I would hate to buy the iPhone 5 to be locked into a 2-year contract on a phone that has no LTE support.
- Seriously Improved Notification System
- Major Cloud-Based MobileMe Improvements
- Likelihood of an LTE iPhone 5
My wallet just took a hit on the iPad 2 and my iPhone 3GS is still going pretty strong, so I am good with waiting if it means more. I would hate to buy the iPhone 5 to be locked into a 2-year contract on a phone that has no LTE support.
kalsta
May 3, 10:54 PM
Can you cite reliable figures for the cost advantage versus the cost to switch?
Nope. Ask me what the cost advantage of wearing my Adidas runners over a pair of wooden clogs is when I go out. I couldn't tell you. But I can appreciate the obvious benefits of the metric system in theory and in practice without making it all about short-term financial gain, and I think you could too if you took the time to look at it objectively. I am just thankful my country made the difficult decision back in the 70s when my biggest challenge was learning to wee in the potty.
As another commenter said, you owe your kids better.
Nope. Ask me what the cost advantage of wearing my Adidas runners over a pair of wooden clogs is when I go out. I couldn't tell you. But I can appreciate the obvious benefits of the metric system in theory and in practice without making it all about short-term financial gain, and I think you could too if you took the time to look at it objectively. I am just thankful my country made the difficult decision back in the 70s when my biggest challenge was learning to wee in the potty.
As another commenter said, you owe your kids better.
Plutonius
May 4, 07:44 AM
We are only waiting on UCF's vote for (or against) "Don't Panic" as the current leader before we can proceed.
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