It merely suggests it. This is becoming an all-too-common scientific "proof" today. Just because 2 things occured at the same time doesn't mean that one caused the other. This is as ridiculuous as finding out that 30% of people who are depressed use social drugs to cope with their depression and then reporting that 30% of drug users are depressed. The misinformative part of this kind of reporting is in that the depression caused the drug use not the other way around.
How is this at all related to this article? It is entirely possible that people who are already social use Internet as a more effective way to communicate with people they would socialize with ragardless of whether the Internet was there or not.
News reporters (read communication: majors who couldn't hack a real degree) love these kinds of reports since "gluing" two types of events with a simple correlation statistic prevents them from having to actually research and try to understand what are the real roots of the problem/behavior/event that they are reporting on.
Well, actually B^n is an n-dimensional ball. It is the whole ball -- including the points inside of it. S^(n-1) is an n-dimensional sphere. Meaning just the countour -- the outside. S circle is usually denoted as S^1. Btw, B^n is sometimes written as D^n (d stands for disk). The n-1 instead of n is there because S^(n-1) is locally diffeomorphic to R^(n-1). That is a circle locally looks just like a line and a sphere locally looks just like a plane.
Well... no, it doesn't work that way. Just because something works in higher dimensions, doesn't mean it works in lower. Here's the simplest example I can think of. If you "live" in 2 dimensions, and you see a squared in from of you, you can "walk around" it. If, on the other hand, you live in 1 dimension (a line) and you see a line segment in front of you, you can't "walk around" it. This is not really related to the Pointcare. It's just an example of how properties of space don't neccesserily get prerved as you move up or down dimesnions.
Egg is toplologically equivalent to a sphere. Roughly speaking, shapes are toplologically equivalent (i.e. homeomorphic) if you can get one from the other by stretching, shrinking or bending without creating any new holes and without forcing any points that previously didn't touch to touch.
Well, as the other posts say the final bid/ask amounts don't tell you much. But something else does. You can no longer short sell SCO. Noone is willing to lend that stock for short sale cause it is expected to fall much faster than the amount of money one could recoup from the interest on lending a stock. The only time this kind of situation happened in recent history was when 3com stock was worth less than the palm stock (at the time palm was a 3com subsidiary).
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It merely suggests it. This is becoming an all-too-common scientific "proof" today. Just because 2 things occured at the same time doesn't mean that one caused the other. This is as ridiculuous as finding out that 30% of people who are depressed use social drugs to cope with their depression and then reporting that 30% of drug users are depressed. The misinformative part of this kind of reporting is in that the depression caused the drug use not the other way around.
How is this at all related to this article? It is entirely possible that people who are already social use Internet as a more effective way to communicate with people they would socialize with ragardless of whether the Internet was there or not.
News reporters (read communication: majors who couldn't hack a real degree) love these kinds of reports since "gluing" two types of events with a simple correlation statistic prevents them from having to actually research and try to understand what are the real roots of the problem/behavior/event that they are reporting on.Well, actually B^n is an n-dimensional ball. It is the whole ball -- including the points inside of it. S^(n-1) is an n-dimensional sphere. Meaning just the countour -- the outside. S circle is usually denoted as S^1. Btw, B^n is sometimes written as D^n (d stands for disk). The n-1 instead of n is there because S^(n-1) is locally diffeomorphic to R^(n-1). That is a circle locally looks just like a line and a sphere locally looks just like a plane.
Well... no, it doesn't work that way. Just because something works in higher dimensions, doesn't mean it works in lower. Here's the simplest example I can think of. If you "live" in 2 dimensions, and you see a squared in from of you, you can "walk around" it. If, on the other hand, you live in 1 dimension (a line) and you see a line segment in front of you, you can't "walk around" it. This is not really related to the Pointcare. It's just an example of how properties of space don't neccesserily get prerved as you move up or down dimesnions.
Egg is toplologically equivalent to a sphere. Roughly speaking, shapes are toplologically equivalent (i.e. homeomorphic) if you can get one from the other by stretching, shrinking or bending without creating any new holes and without forcing any points that previously didn't touch to touch.
Well, as the other posts say the final bid/ask amounts don't tell you much. But something else does. You can no longer short sell SCO. Noone is willing to lend that stock for short sale cause it is expected to fall much faster than the amount of money one could recoup from the interest on lending a stock. The only time this kind of situation happened in recent history was when 3com stock was worth less than the palm stock (at the time palm was a 3com subsidiary).