I've heard it is around 200 people competing for one tenured post so your chances of getting it is about as slim as you becoming the next Taylor Swift. Why would anyone want to do research then? Being in a publish-or-perish environment ain't fun. You will be flipping burgers if you have nothing published.
As humans, and perhaps as mammals more generally, we are used to the following theme: Women looking beautiful, and men doing what they can to impress them to win access to their vagina. Studies of sexual partners seems to back this up: Women are more choosey, whilst men sleep will sleep with right munters. Chat-up lines are learnt by the men; PUAs exist to teach men how to pick up women, etc. In the mammal world, the typical rule is that the men are stronger and more physically capable than the women. The competition for which male is most physically superior is one... Comment too long. Click here to view the full text.
Let's say I need to prove that the expression of a function f(x) can be re-written in some other way than its original expression.
To do that, can I just assume and state that both expressions of the function are equal, and then see how it goes from there? So that if I will arrive at an equality with same expressions on each hand, the proof will be completed. (If the opposite is true, though, it would prove that the function can't be re-written as that expression)
Is there a faster and more acceptable way to do proofs like that?
Thoughts on Cognitive Science as a major? I mean, I know interdisciplinary studies can kinda suck- but it seems decent as a way to officially study technoshamanism. >Study of Consciousness >Neurobiology >Mathmatical Models >AI
I mean, I've done a lot of drugs, and well- it seems like the shit I've already been interested in.
>>8060660 I'm interested in cog sci as well. I'd love to create an IQ test for highly gifted people such as myself. Unfortunately the conventional IQ tests stop being accurate at 160 but mine is definitely higher.
I don't know how it works in the states, but you can do dual majors or even dual degrees over here -- if you're interested in that, spend the arts half your degree doing psych/neuro/philosophy and the science half doing chemistry/neuroanatomy/mathematics
without the science no one will take you seriously, but without the arts you won't get laid, or have a "theoretical framework" to justify all the drugs you're doing
>>8060621 I suppose it would be different in the sense that the observing mechanism is not changing the frequency or measureable input or output, but the actual perceived state of matter or energy in question.
I'm about to wrap up a math undergrad. I focused my curriculum on probability & statistics since I found this to be the most interesting. This means that I've omitted a lot of abstract algebra that I could have taken. Pic related is the textbook used for the algebra sequence at my school. I think the Dummit & Foote book is split into a 3 course sequence on abstract algebra. Is this book any good for self study? Is this too babby tier? I'm fairly strong (for an undergrad) in analysis & functional analysis but I only have experience in... Comment too long. Click here to view the full text.
I'd say bad overall for self study. It's a classic though, and there are lots of solutions online. Be ready to discuss with other people if you want to work through the book and complete all exercises.
Ridiculously dangerous chemical compound/pathogen/anything thread.
"It is, of course, extremely toxic, but that's the least of the problem. It is hypergolic with every known fuel, and so rapidly hypergolic that no ignition delay has ever been measured. It is also hypergolic with such things as cloth, wood, and test engineers, not to mention asbestos, sand, and water — with which it reacts explosively. It can be kept in some of the ordinary structural metals — steel, copper, aluminum, etc. — because of the formation of a thin film of insoluble metal fluoride... Comment too long. Click here to view the full text.
H2O for sure >can cause excessive sweating and vomiting >is a major component in acid rain >can cause severe burns in its gaseous state >accidental inhalation can kill you >contributes to erosion >decreases effectiveness of automobile brakes >has been found in tumors of terminal cancer patients
Why we acknowledge other people farts as smelly and nasty yet most people find their own farts bearable or even smelling good?
If this works because we have an hypothetical "unique scent mark" or something, then why other personal body odours such as armpits, foot or halitosis are immediatly identified as nasty even from the owner of the smell?
I have a theory on what could cause gravity that may go against popular science and I was wondering what people may think about it.
Gravity is caused by the sun. It is a condensed ball of molecules that has a reaction happening that need to be fed. It does not burn like a fire because it is an intense chemical reaction, but like a fire it needs to be fed to continue "burning". It pulls matter, including planets, towards it, and as these planets are pulled towards it it is spiraled around the sun, sort of like a toilet flushing. The sun pulls these planets towards... Comment too long. Click here to view the full text.
But in case you're not, /saged Also, planets don't spiral towards the sun, they fall towards it, the spinning comes from them already having tangent velocity. The sun's reaction is not chemical, its fusion. The whole "sun's gravity create's the earth's gravity" thing doesn't make any sense.
Ever stopped to think about it through? God, we get these kinds of stoner theories all the time. People need to start considering how real physics work, at least read some introductory textbooks, rather than rely in mere intuition. I mean, seriously, if you're going to theorize at least try and have it make sense. >The sun needs matter to feed it so it pulls it from the environment By virtue of what principle exactly? The issue is how come gravity exists as a large scale phenomenon with such a weak force, as in particles interacting... Comment too long. Click here to view the full text.
The ratio of the area of the top right square within the larger circle to the area outside is probably the same as the ratio of the smaller circle bounded by the larger circle to the area that isn't. I say probably cause I cant be fucked to check.
Working mathematicians thread. How do I evolve from a student into a professional mathematician? I've been researching "heavily" in philosophy of mathematics, yet I cannot find still the secret sauce that makes up a good mathematician.
People who are undergrads or haven't published a maths paper need not reply.
Pic related is an image of how I currently perceive philosophy and practice of mathematics. The math world (Platonic or otherwise) is split into two groups - objects and properties. And then proofs are derived from conjectures, and... Comment too long. Click here to view the full text.
>>8060024 You need to figure out where theorems start to break down, implications of theorems that no one thought of yet, equivalences over different branches of mathematics, etc.
Learn about methods of mathematical proofing, you either want to expand the current tools of mathematics, bridge gaps between current ones, make corrections, or simplify things. This is easier to do at the "limits" of complicated or new theorems. Essentially, if you have an idea, write it down, disregard if it's good or bad at... Comment too long. Click here to view the full text.
Dumb newbie question, but because I just learnt about electronic circuit analysis, and I haven't found the answer to this on search engines:
So... You can short circuit a battery. Right? Obvious: Connect the positive to the negative, and the electrons will flow to the positive part, evening the voltage and fucking up your day.
But... Connect the positive end of a battery to the negative end of an IDENTICAL other battery, and do they short circuit between the batteries? Nooo... You're just increasing the voltage! Batteries can stay like that for years... Comment too long. Click here to view the full text.
>>8060071 I'm not creating a closed circuit between ALL battery poles, no.
But if you accept the fact that the positive and the negative is seperated inside the battery, I am creating a short circuit between the positive of one, and the negative of the other.
Think of it this way:
I have 1 battery. For the sake of simplified argument, let's say the negative reservoir is in the left half, and the positive is in the right half of the battery, or something like that. So it's easy to physically... Comment too long. Click here to view the full text.
>>8059913 I keep reading these anti matter/energy posts and wonder what they would have said when Brown suggested that Brownian motion was caused by little particles that you couldn't see, even with a microscope.
>>8059929 >falling for the brownian motion meme >typical pure science wankery with no real world worth >he just wants to sit around doing meme math all day instead of science >great mathematician; awful scientist >how are we supposed to do experiments with these invisible particles? nice falsifiable "theory"
How come all the signals in the air are not interfering with each other? Say you have 3 sine waves as an example (pic related) the resultant would be gibberish. How does a router/reciever understand what is the information that is meant for it?
>>8059672 Could you elaborate on how it is tuned to that particular frequency? In the example (take sine of 1Hz, 2Hz, 4Hz together) if you sample at 1Hz you'll be incapable of seeing wether it went down or up right? (As the others add their energy to the wave?)
Here's something that's been on my mind lately with all the mars colonization talk...
On mars, water boils away easily, correct? How exactly does that play out with planetary heating and atmospheric thickening? What would be the proper order of events to ensure retention of as much moisture as possible? It'd be incredibly counterintuitive if we boiled away the ice caps in the process of heating the planet, turning it into even more of an uninhabitable desert than it already is.
>>8059893 Is the moisture held by Mars' atmosphere or does the vapor escape into space? I would think water's escape velocity is high enough that Mars should be able to hold onto it, but I might be missing something.
>>8059609 >On mars, water boils away easily It boils because of the lack of atmosphere. You can see a similar, but less dramatic, effect on earth at high altitude. I've no idea how to answer the rest of your question.
That's the energy everything radiates at according to temperature. Apply that to any planet you want in the solar system. Remember the Sun's energy drops off significantly with distance because of the inverse square law. A planet at that distance will receive very little solar energy and emit extremely little.
Compare that to Earth... Comment too long. Click here to view the full text.
>>8059608 Eh, sorry, here's a simpler energy balance equation that removes the greenhouse effect. In this case we can probably ignore it because Icy bodies like Pluto and further Kuiper Belt Objects will have no significant atmosphere.
An object travelling at the speed of light would have infinite mass. So, why don't we say that photons have infinite mass? Is it because it functions as a wave instead of a particle? Or is it just because infinite mass would imply infinite volume?
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