A circle in n dimensions is defined as the set of all points at a given distance from a fixed point, the center. Circles are defined by the radius, not the diameter. The "standard" equation for a circle is x^2+y^2=r^2. Etc, etc. The diameter is not more fundamental.
Ceramic knives hold an edge very well, and often tend to be made with a 15 degree edge. That makes them sharp, and they stay sharp. But they're not sharper than metal, any knife with a martinsitic edge at a 15 degree angle will be just as sharp. The problem is that adding chrome makes getting steel into the martensite phase harder, so such knives tend to be mild steel. With differential hardening you can have a pearlite body and martensite edge (like a katana) and get a very sharp, durable metal knife. I've a pearlite/martinsite tanto, and it's the sort of knife that demand proper handling. Try to catch one if you drop it and you'll lose a finger or four.
The radiation dosage is ionizing, and thus CUMULATIVE. Even if it's less than what you get from the flight itself it's still more than you need to get, and the more you use public transit the more you get. Since they're trying to expand to busses/trains it likely won't be long before those have X-ray scanners as well.
My last hearing test has shown that I can hear up to 21khz. I play Tin Whistle, Great Highland Bagpipe, Ceilidh Pipe, and Guitar. I have heard the rattle of a live sax. I have heard a delicate triangle ringing out over a live orchestra. I have heard live trumpet. I've spent quite a bit of time training my ears to hear those sounds.
I have consistently failed to find a difference between the following in ABX tests I have run:
192/24 and 44/16.wav
96/24 and 44/16.wav
44/16.wav and FLAC, encoded with the FLAC reference encoder
My reference tracks have been Pink Floyd's "Time", Sirenia's "Meridian", Bach's "Herz und Mund und Tat und Leben" part 7 conducted by Nikolaus Harnoncourt.
The reference system was a PC with an Asus Xonar Essence sound card, a Rogue audio Perseus pre-amp, a pair of Rogue M-180 monoblock power amps, and Vandersteen Signature 2ce speakers. (My father's sound system and my PC).
Of course, msobkow will claim that since I like Highland Bagpipes my hearing is inferior, and I can't hear the differences because he's better than me.
That said, I do like having music in 192/24. Why? Because I can play with it. I can edit it, there's more headroom. If I feel that "Another Brick in the Wall" just needs a tin whistle part, well, I'll have an easier time editing it in without distortion. But for listening? Nope.
When my father took Calculus 1 he used Thomas's Calculus, Fourth Edition. He still has the book. Thomas actually wrote it.
When I took Calculus 1 I used Thomas's Calculus, Tenth Edition. Then promptly borrowed the fourth edition, because it was better written, better structured, and actually taught the material. The Newton/Leibniz conflict is interesting, but it's not math.
The fourth edition homework begins with very simple problems, and steadily increases in complexity. EG start with d/dx x=0. Then a few of the form d/dx x+1=0. Then a few like d/dx 2x=0. Etc, etc. You see the first example of the new form, take limits and such, and learn what the new pattern is by discovery.
The tenth edition homework begins with more complex problems, and has no perceptible order to the questions. There's no opportunity to discover a new pattern, and all the patterns are taught in a "sidebar" instead of taught by discovery. You're just expected to memorize them and apply them mechanically without understanding why they work.
My (college) Physics teacher did something interesting. Homework was assigned. Questions about the homework were answered in class. All the homework questions, and worked-out solutions showing all steps were available on the class website. Homework did not count directly for your grade. Every few weeks he would make up a "take-home quiz" problem on the spot, and we'd have to solve it by the next class period. He'd solve whatever he had made up and use that as the answer key.
The basic homework was thus not required. Of course everyone who didn't do the homework failed anyway, because they didn't learn the material well enough. The take-home quizzes were the homework, and provided much more challenging problems. Since they were made up off the top of his head they didn't always have "nice" numbers when worked out.
It's moderately close, and I do use it, but there are still issues.
There's only one level of hierarchy.
When you get too many groups you can't scroll the tab bar, and the right-click menu doesn't have the tabs grouped.
Using the "windows" sidebar provides a second level of hierarchy.
That's still only two levels of hierarchy, and the grouping isn't automatic based on what sites were opened from where. That's what I miss about tree-style tabs, not the vertical bar or the grouping.
The radiation there is strong enough to break up water into hydrogen and oxygen. You'll need quite a bit of it to survive, being a bag of mostly water.
We already produce enough food to feed every human on the planet. The reason for starving people is an economic/political problem. E.G. Some areas of Africa got in a few wars and a lot of farmers died. International Aid agencies sent in food aid, for free to the local populace. Some of this was seized by the warlords, the rest drove the price of food low enough that the local farmers had no reason to farm, just take the aid food. A generation later, and all the farms are gone, and people are starving without food aid. That's highly simplified, etc, etc. The inaccuracies of the above don't detract from the point that we can produce the food easily, but getting it distributed would involve socioeconomic change on the countries we want to feed.
The publicly released document claims they wanted to make it using commercial off-the-shelf components. That doesn't mean that every one of these was made with cots parts, or that they don't have the option to make an in-house-parts only version if they deem it necessary.
Easy way to think of entanglement that won't lead to thinking of it as an FTL communication mechanism:
Imagine a machine (hidden from any observers) that flips a coin, cuts it in half, and puts the halves in two sealed boxes. The halves could be either heads up or tails up, you can't tell until you open a box. Both will be in the same state, no matter how far apart you move the boxes. You can drive all day with a half-coin in a box and it won't change. (Had to work a car in.) Knowing the state of one tells you the state of the other, but changing the state of one does not change the state of the other.
The (big) error in this explanation is that there's no superposition, so it's really a terrible analogy, but it doesn't lead to the biggest common mistake the normal descriptions give.
Circles have another big advantage over Facebook "friends." You can set a circle to show only public posts, and never notify you of new posts by members of the circle. ${casual_acquaintance_classmate} gets added to your circles, feels good, and you don't have to care because they're in the "ignore this idiot" group. With facebook you get their notification about a bumper crop of virtual carrots, their comment about the virtual carrots, their status change to virtual carrot virtuoso.... etc.
I tend to listen to my music in "shuffle all" mode, and use the same device when driving as when walking with earbuds in. The point of "take all your music with you" is not to listen continuously, but to be able to access it at any time. If I want to listen to Pink Floyd I can. If I want to listen to Loreena McKennit I can. And I don't have to drive/walk home, re-sync my device, and then drive back to wherever I was before.
Partly I think it is because I have a very broad taste in music: I like medieval, Renaissance, baroque, jazz, classic rock, progressive rock, hard rock, death metal, black metal, symphonic metal, power metal, Irish folk, Scottish folk, Norse folk, viking rock, Celtic rock, electronica, and a few songs of other genres. A large, portable collection gives me the ability to listen to whatever suits my mood. I can't do that with a 4GB device.
That said, my total music collection isn't that big. It's about 35GiB. 17 days of music, about 815 albums. Quite a lot of it is FLAC, not MP3. My dad's record collection is easily over 1000 albums. It takes up a significant amount of space, is harder to sort through, and far more difficult to carry around.
I also listen to music quite often while working/gaming/other leisure, so I often end up listening to music 6-8 hours of each day. Many games have music I don't like, so I just mute that and play my own. Instrumental music did not significantly decrease my work ability when I last tested a few years ago. While commuting/reading the news/writing slashdot posts I see no reason not to listen to music. And since I also play Great Highland Bagpipes I spend about an hour each day practicing, part of which is listening to the tunes I'm trying to learn.
I can get an iPod classic with 160GB storage. I have a Samsung Vibrant with 16GB internal storage (+ up to 64GB on a micro SDXC card.) Until higher capacity SDXC cards come out an iPod classic may still be a good choice for people with very large music collections. Soon SDXC will have up to 2TB cards, at which point separate devices for portable music really will be obsolete.
One way to think of a non-deterministic computer is one with an infinite (or arbitrarily large) number of CPUs. It can explore all possible orderings at once.
Slashdot Mirror
A circle in n dimensions is defined as the set of all points at a given distance from a fixed point, the center. Circles are defined by the radius, not the diameter. The "standard" equation for a circle is x^2+y^2=r^2. Etc, etc. The diameter is not more fundamental.
e^(i*theta)=cos(theta)+i*sin(theta)
Bah, use (pi^(n/2)*r^n)/gamma(n/2+1), the volume of an n-dimensional ball related to its radius and the number of dimensions!
Much, much higher. In general over 50 C will cause damage to the batteries in most phones.
A hot TSA agent is like a cold blue-giant star. It just doesn't happen.
Ceramic knives hold an edge very well, and often tend to be made with a 15 degree edge. That makes them sharp, and they stay sharp. But they're not sharper than metal, any knife with a martinsitic edge at a 15 degree angle will be just as sharp. The problem is that adding chrome makes getting steel into the martensite phase harder, so such knives tend to be mild steel. With differential hardening you can have a pearlite body and martensite edge (like a katana) and get a very sharp, durable metal knife. I've a pearlite/martinsite tanto, and it's the sort of knife that demand proper handling. Try to catch one if you drop it and you'll lose a finger or four.
The radiation dosage is ionizing, and thus CUMULATIVE. Even if it's less than what you get from the flight itself it's still more than you need to get, and the more you use public transit the more you get. Since they're trying to expand to busses/trains it likely won't be long before those have X-ray scanners as well.
The ones in the TSA uniforms.
Problem: There are a lot of name collisions. There are a lot of name + birthday collisions. Etc.
My last hearing test has shown that I can hear up to 21khz. I play Tin Whistle, Great Highland Bagpipe, Ceilidh Pipe, and Guitar. I have heard the rattle of a live sax. I have heard a delicate triangle ringing out over a live orchestra. I have heard live trumpet. I've spent quite a bit of time training my ears to hear those sounds.
.wav .wav .wav and FLAC, encoded with the FLAC reference encoder
I have consistently failed to find a difference between the following in ABX tests I have run:
192/24 and 44/16
96/24 and 44/16
44/16
My reference tracks have been Pink Floyd's "Time", Sirenia's "Meridian", Bach's "Herz und Mund und Tat und Leben" part 7 conducted by Nikolaus Harnoncourt.
The reference system was a PC with an Asus Xonar Essence sound card, a Rogue audio Perseus pre-amp, a pair of Rogue M-180 monoblock power amps, and Vandersteen Signature 2ce speakers. (My father's sound system and my PC).
Of course, msobkow will claim that since I like Highland Bagpipes my hearing is inferior, and I can't hear the differences because he's better than me.
That said, I do like having music in 192/24. Why? Because I can play with it. I can edit it, there's more headroom. If I feel that "Another Brick in the Wall" just needs a tin whistle part, well, I'll have an easier time editing it in without distortion. But for listening? Nope.
I can find the 12th root of 2 all over my musical instruments.
When my father took Calculus 1 he used Thomas's Calculus, Fourth Edition. He still has the book. Thomas actually wrote it.
When I took Calculus 1 I used Thomas's Calculus, Tenth Edition. Then promptly borrowed the fourth edition, because it was better written, better structured, and actually taught the material. The Newton/Leibniz conflict is interesting, but it's not math.
The fourth edition homework begins with very simple problems, and steadily increases in complexity. EG start with d/dx x=0. Then a few of the form d/dx x+1=0. Then a few like d/dx 2x=0. Etc, etc. You see the first example of the new form, take limits and such, and learn what the new pattern is by discovery.
The tenth edition homework begins with more complex problems, and has no perceptible order to the questions. There's no opportunity to discover a new pattern, and all the patterns are taught in a "sidebar" instead of taught by discovery. You're just expected to memorize them and apply them mechanically without understanding why they work.
My (college) Physics teacher did something interesting. Homework was assigned. Questions about the homework were answered in class. All the homework questions, and worked-out solutions showing all steps were available on the class website. Homework did not count directly for your grade. Every few weeks he would make up a "take-home quiz" problem on the spot, and we'd have to solve it by the next class period. He'd solve whatever he had made up and use that as the answer key.
The basic homework was thus not required. Of course everyone who didn't do the homework failed anyway, because they didn't learn the material well enough. The take-home quizzes were the homework, and provided much more challenging problems. Since they were made up off the top of his head they didn't always have "nice" numbers when worked out.
It's moderately close, and I do use it, but there are still issues.
There's only one level of hierarchy.
When you get too many groups you can't scroll the tab bar, and the right-click menu doesn't have the tabs grouped.
Using the "windows" sidebar provides a second level of hierarchy.
That's still only two levels of hierarchy, and the grouping isn't automatic based on what sites were opened from where. That's what I miss about tree-style tabs, not the vertical bar or the grouping.
Seconding Opera. The only thing I miss from Firefox is Tree-Style Tabs.
"possibly radiation shielding"
The radiation there is strong enough to break up water into hydrogen and oxygen. You'll need quite a bit of it to survive, being a bag of mostly water.
We already produce enough food to feed every human on the planet. The reason for starving people is an economic/political problem. E.G. Some areas of Africa got in a few wars and a lot of farmers died. International Aid agencies sent in food aid, for free to the local populace. Some of this was seized by the warlords, the rest drove the price of food low enough that the local farmers had no reason to farm, just take the aid food. A generation later, and all the farms are gone, and people are starving without food aid. That's highly simplified, etc, etc. The inaccuracies of the above don't detract from the point that we can produce the food easily, but getting it distributed would involve socioeconomic change on the countries we want to feed.
The publicly released document claims they wanted to make it using commercial off-the-shelf components. That doesn't mean that every one of these was made with cots parts, or that they don't have the option to make an in-house-parts only version if they deem it necessary.
The NSA has its own fab. They can make their own chips if they so choose. Depending on the level of security needed I'm sure they will.
Easy way to think of entanglement that won't lead to thinking of it as an FTL communication mechanism:
Imagine a machine (hidden from any observers) that flips a coin, cuts it in half, and puts the halves in two sealed boxes. The halves could be either heads up or tails up, you can't tell until you open a box. Both will be in the same state, no matter how far apart you move the boxes. You can drive all day with a half-coin in a box and it won't change. (Had to work a car in.) Knowing the state of one tells you the state of the other, but changing the state of one does not change the state of the other.
The (big) error in this explanation is that there's no superposition, so it's really a terrible analogy, but it doesn't lead to the biggest common mistake the normal descriptions give.
Circles have another big advantage over Facebook "friends." You can set a circle to show only public posts, and never notify you of new posts by members of the circle. ${casual_acquaintance_classmate} gets added to your circles, feels good, and you don't have to care because they're in the "ignore this idiot" group. With facebook you get their notification about a bumper crop of virtual carrots, their comment about the virtual carrots, their status change to virtual carrot virtuoso.... etc.
It doesn't let you uninstall any "system" app. If you have root, Titanium Backup can convert these apps to "user" apps.
I tend to listen to my music in "shuffle all" mode, and use the same device when driving as when walking with earbuds in. The point of "take all your music with you" is not to listen continuously, but to be able to access it at any time. If I want to listen to Pink Floyd I can. If I want to listen to Loreena McKennit I can. And I don't have to drive/walk home, re-sync my device, and then drive back to wherever I was before.
Partly I think it is because I have a very broad taste in music: I like medieval, Renaissance, baroque, jazz, classic rock, progressive rock, hard rock, death metal, black metal, symphonic metal, power metal, Irish folk, Scottish folk, Norse folk, viking rock, Celtic rock, electronica, and a few songs of other genres. A large, portable collection gives me the ability to listen to whatever suits my mood. I can't do that with a 4GB device.
That said, my total music collection isn't that big. It's about 35GiB. 17 days of music, about 815 albums. Quite a lot of it is FLAC, not MP3. My dad's record collection is easily over 1000 albums. It takes up a significant amount of space, is harder to sort through, and far more difficult to carry around.
I also listen to music quite often while working/gaming/other leisure, so I often end up listening to music 6-8 hours of each day. Many games have music I don't like, so I just mute that and play my own. Instrumental music did not significantly decrease my work ability when I last tested a few years ago. While commuting/reading the news/writing slashdot posts I see no reason not to listen to music. And since I also play Great Highland Bagpipes I spend about an hour each day practicing, part of which is listening to the tunes I'm trying to learn.
I can get an iPod classic with 160GB storage. I have a Samsung Vibrant with 16GB internal storage (+ up to 64GB on a micro SDXC card.) Until higher capacity SDXC cards come out an iPod classic may still be a good choice for people with very large music collections. Soon SDXC will have up to 2TB cards, at which point separate devices for portable music really will be obsolete.
One way to think of a non-deterministic computer is one with an infinite (or arbitrarily large) number of CPUs. It can explore all possible orderings at once.