Deja Vu

Not to be a nitpick, but so are a whole bunch of other organisms, ranging from lions to cockroaches. But it doesn't really help us understand how prevalent this is, or at what ages this can happen at, or even why this would happen. I actually do agree with you. But those stats are VERY hard to find if they exist, I'm still looking for them. If you find data related to this subject, let us know. Where? Those posts were very clear on what the OP wanted. I don't understand why you are angry with me, as you are the one who was derailing the thread. I pointed this out and you apparently didn't bother to reread the thread, or just ignored it altogether. And as I said before, if you want to talk about whether adolescents should have sex, then make another thread about it. If you also want to bash religion at the same time, then go to richarddawkins.net. I also post there too, and I might join you in that activity. If all you are going to do is preach, then there is no point in continuing this discussion with you. But please stay on topic. Do you have any statistics that the OP might want to look at? I can't find any at this moment, and I beginning to think that they don't exist. Actually, I do doubt that adolescents are maturing faster in our society. While their bodies certainly mature between the ages of 13 and 16 (as it has happened historically and for most of human existence), I'm not too certain that they are psychologically developed appropriately, especially given all the stress and the demands that pop-culture and other things in modern society places on them.

I don't think so. Just because it is simple, functional, and correct does not make it elegant. Saying that the expression 1+1 = 2 has elegance is like comparing a badly drawn stick figure to the Mona Lisa painting. Mathematical elegance is, in and of itself, a work of art. And it's something I take very seriously. It is for that, and other reasons that Euler's identity can be considered elegant, while -1+1=0 is not, even though [math] e^{\pi i} + 1 [/math] [math]\equiv -1+1[/math] = 0. Conclusion: there is nothing particularly elegant or special about 1+1=2. It is trivial, just like all the other expressions like it. I agree

The sun's orbit around the galactic core is mostly elliptical. And it does oscillate during it's orbit, it goes up and down relative to the galactic plane as it goes around the core.

Yes, he was asking when the adolescent was the aggressor, not so much as whether or not they should have sex in general. If you want to start your own thread on whether or not adolescents should be made to wait, then do so. Otherwise the OP wasn't asking for opinions on that issue.

We all hear you, it's just that it is irrelevant to a topic that is about sexual harassment, and nobody cares. Please don't derail the thread. Ironic that you would say that given that millions of years is a rather short amount of time . Humans as we know them have only existed for 2 million years. Besides which we don't have enough data on the lifestyle of early humans to say with certainty what cultural rituals they participated in. I haven't found anything yet on the number of adolescents who were offenders, unless it was between adolescents only. Even then, the vast majority of them were older than the person they were trying to solicit. I'll come back to this thread later to fulfill your other requests, I am short on time and am at work right now.

I wouldn't consider that expression mathematical elegance, rather it is a trivial one.

It's been going on for longer than a few centuries, more like a couple of thousand of years. The religions that place the most restrictions on sexual activities are certain sects of Christianity and Islam. But they weren't the only ones. In Greco-Roman tradition, there were women who were chosen to be "Vestal Virgins", priestesses who were NEVER allowed to have sex. Not really. For most of human existence there were always cultural restrictions, or rules, in some form on sexual activity and promiscuity, especially on women. Not only on how long they should wait, but also on the actual activity itself. This by the way is completely off topic. The OP was not asking about sexual restrictions. I don't know if there are any studies done on whether humans have matured faster than before. Reproductive age is the same now as it has been for most of our existence. However, certain groups of people are known to mature faster than others. One example would be that of girls, in that they tend to mature faster than boys on average. Here is an article that might interest you about this subject: http://www.unh.edu/ccrc/pdf/CV135.pdf I just quickly skimmed it, I don't know if there are any specific listing of how old the aggressors were. However, I'm pretty certain that adolescent aggressors can be more common than one expects.

No, that's all wrong. 1/∞ is a meaningless expression. It's true that the limit of 1/x as x approaches ∞ is equal to zero, but that doesn't really imply that expression 1/∞ = 0. In any case, the reason 0/0 is undefined is because of all the reasons listed above, you are basically trying to figure out how many times you can put nothing into nothing.

I don't see how that can be, especially since the energy consumption per human has increased dramatically and continues to do so. All of the activities you listed, such as having a large population, take a great deal of energy to maintain. What I'm wondering is whether or not the use, or the availability of, technology can be a direct cause of physical or physiological adaptations, or vice versa.

Thank you Martin, for providing the articles . It will take a while to read through them, as I don't always have the time, but they all seem interesting. The one that caught my eye in particular is the article on Reproductive Cosmology (does it have any connection whatsoever to biological reproduction?). I'll dive into them when I get the chance. Sort of. The many worlds interpretation mostly applies to quantum mechanics, in that it is proposed that for every possible quantum state or phenomenon or path, there is a parallel world/universe in which each and every one of those histories play out. Either branching off of this universe, or they exist separately. Personally, I'm not a fan of this interpretation, but that's for another thread. A multiverse, on the other hand, refers to the existence of multiple universes in general, not always having to be related or connected to each other, or have the same physical laws as our own. I don't see how this would follow from the previous statements.

Hi, this is my second thread on this site. There was a thought that just came across while I was reading about the evolution of human beings, could there be a link between genetic mutations and technological development of human beings? Such as, does the development of technologies cause humans to evolve in or adapt in environments, or even change the physiology of humans, in ways that would otherwise be impossible. I do know one instance of this, the Inuit tribes for example, in that they can survive in weather much colder than we can to the point where their bodies are even adapted to the climate (much shorter and wider than most of us). Also, I read that the last significant change in human evolution occurred 10000 years ago, which also coincides with the development of agriculture. Could there be a link between that and the genetic mutations that occurred throughout human evolution, or is this just wild speculation?

I would appreciate it if you posted links to technical papers please, so that I can see the details and the mathematics behind it.

I've read of very small universes being created from black holes. Baby universes, to use Hawking's words, but they are much, much smaller than our own. And presumably, they can merge right back into our own. As for black holes creating universes like ours, I don't think so. A black hole doesn't emit much of anything though. If anything falls into it, the material will emit high energy radiation as it falls into the black hole. But the hole itself doesn't. Black holes are theorized to explode, but not in the manner that you are describing. Black holes, even though they absorb any and all radiation (because it's escape velocity is greater than that of the speed of light), still have an entropy. Overtime, they shrink, until when they are small enough they will explode, releasing high energy gamma radiation. But that takes a very long time. Certainly much longer than the lifetime of the universe.

Foodchain, Before we can help you, it would help if we knew what exactly it is you want to model. There are many physical phenomenon that could be modeled using probabilities and fractals. And, ZPE and absolute zero are two different things (although, ZPE implies that you can't possibly have a temperature that is equal to absolute zero). As for the math, you might want to read into probability theory if that is what you are looking for. Try reading this, introduction into probability: http://books.google.com/books?hl=en&id=14oq4uWGCkwC&dq=Probability&printsec=frontcover&source=web&ots=LP1-x5rRvi&sig=DiTL58u_tpcYLTMiDNXfKiqmKTw&sa=X&oi=book_result&resnum=5&ct=result#PPP1,M1 That might hold something useful there. Also, try reading into Bifurcation Theory. The link gives you a simple description. And, you can also read a little bit into quantum mechanics right over here: http://hyperphysics.phy-astr.gsu.edu/hbase/HFrame.html

Here is a decent simulation on how galaxies collide: Also, there is free software you can use in order to simulate galaxy collisions of any size, type, and shape: http://www.mars3d.com/PWGravity3D.htm