It does make sense x^x approaches 0 as x -> - infinity, as the exponent approaches 1/infinity (due to the exponent being negative) therefore x^x -> 0 as x-> -infinity The rest is trivial sin(0)=0 x^0 = 1
https://en.wikipedia.org/wiki/STEAM_fields >STEAM fields is an acronym for the fields of study in the categories of science, technology, engineering, arts, and mathematics. The initiative began to include arts and design in STEM fields education.
>STEM programs are designed to integrate science, technology, engineering, and mathematics in the classroom. These programs aim to teach students to think critically and have an engineering or design approach towards real-world problems while building on their math and science... Comment too long. Click here to view the full text.
>>8285142 Considering thousands upon thousands upon thousands of the brightest minds the planet has to offer, working on the issue with billions in funding for decades haven't come up with a solution I doubt Mtumbai or Pajeet are really a magical repository of knowledge waiting to be unlocked.
>>8285142 I don't know if you've noticed, but there the US is infested with retarded monkeys.
If you make college free, you're basically opening up the floodgates for the monkeys to come in and make the college experience even worse than it already is. Universities will spend millions trying to babysit these monkeys who can't sit down, shut up, and listen to a lecture for an extended period of time. It will become high school 0.2.
A earth-like planet have been found orbiting Alpha Centauri (4 light years away from us). I think it's great news. We already know the planet where future human colonies will travel to when we destroy our planet.
>>8293587 Yes. Proper diet, education, and removal of childhood trauma and in general negative social stimuli (achieved largely in part by combating poverty) has a profound and well documented effect on increasing average IQ scores.
I mean across the board. It's not enough to just prevent people from having a much lower level of intelligence than their genetic potential allows; I think we need to actually increase the potential level. It seems to be unacceptable that so many people are not capable of contributing in a meaningful way to solving all of our unsolved problems - especially if we are going to be automating much of the perfunctory and repetitive work in our economy within the next decade or two.
If we don't make these people (i.e. those currently in these soon-to-be automated positions) significantly smarter than they are at the moment, won't they just become permanent welfare recipients?
That seems like something we ought to try to avoid.
>"i hate when normies say 'just a theory' because they really don't know what the word theory means and because i have a superior intellect i sit there growling with rage because they don't understand the TRUE depth of the meaning of the word theory like ugh"
>>8286862 No, you don't understand. this isnt a thread for us to feel bad about ourselves and argue. this is a thread to delude ourselves for fun. stop taking things so seriously, weirdo. it's not a big deal. just let us have fun. we're not actually mad.
I did a handful of regional competitions in college, mostly team math modeling-based and a couple of programming/hack events (wasn't too good at the latter but had fun). I doubt any were as intense as Olympiad can be though.
You should just ask someone in your math or physics department or your advisor. They will know more than anyone here.
"Straus told the story of the day that he and Einstein finished work on a paper. They looked for a paper clip to bind it together. After shuffling through several drawers, they finally found one lone clip. But it was so bent and mangled that it could not be used. So then they began looking for a tool to straighten the forlorn paper clip. Scrounging through more drawers, they finally found a full box of brand new paper clips. Einstein immediately began to shape one of the new clips into a tool for rectifying the bent clip."
"One day Shizuo Kakutani was teaching a class at Yale. He wrote a lemma on the blackboard and announced that the proof was obvious. One student timidly raised his hand and said that it wasn't obvious to him. Could Kakutani explain?
After several moments' thought, Kakutani realized that he could not himself prove the lemma. He apologized and said that he would report back at their next class meeting.
After class, Kakutani, went straight to his office. He labored for quite a time and found that he could not prove the pesky lemma. He skipped lunch and... Comment too long. Click here to view the full text.
"After John Nash won the Nobel Prize in Economics, a small ceremony was held in the Final Hall Common Room at Princeton University. Nash was prevailed upon to make a few remarks. His first was, 'I hope that getting the Nobel will improve my credit rating, because I really want a credit card.'"
Hardy goes to visit Ramanujan in the hospital and mentions the number of his taxi was 14. "I'm afraid that riding in a cab with such a dull number is an ill omen," Hardy says. And Ramanujan replies, "No, not at all; 14 is a very interesting number. It is the only one which can be written as the product of 7 and 2 in two different ways."
PhD in Mechanical Engineering here. Will answer your questions for people.
Some background information: >Mathematics, BS >Mathematics, MS >Took control theory in last semester of MS, loved it; applied for PhD. >Currently in PhD program with a focus on dynamical systems & mechatronics
>>8289137 My reference letters, GRE scores and classes. During my second year in grad school, I took a ton of dynamical systems/control theory courses in the ME and EE departments, both theoretical and applied.
Your body wants to eat, rest, and depending on your age--which I'm guessing is young--probably grow as well.
Your 'heart desires' are not your heart's at all but your brains. You have noise in your head that you take for reality. You're so good at listening to this noise that you are even considering suicide.
Do me a favor, kid.
Ignore your heart desires for a bit. Listen to to your bodily desires. Go on a retreat if you... Comment too long. Click here to view the full text.
>>8288547 iirc there are only so many loci but magnitudes more alleles available related to immunity. and what we call races aren't different enough for it to matter. most differences are within races and inbreeding is minimal so there is no reason to expect hybrid vigor to occur.
Why do psychedelics always eventually lead me to the conclusion that I am everyone? As in, everyone is part of the same universal consciousness and we are all just different manifestations of it, in living organism form?
Every time it leads to this and once my mind makes the realization a shock of fear literally goes through my body and I double check whether I'm having a heart attack
Anyone else. Please tell me someone else has felt this before
>>8291632 >depressurizing a volcano safely I doubt it can be done. It would be like trying to slowly burn a stick of dynamite. But even if you could do it, there are still problems.
Let's say that a normal eruption would release a gorilla-joule of energy over the course of a second. Perhaps you can slow the energy release so it happens over the course of a decade instead. However, you still have a gorilla-joule of energy released into the atmosphere, just much slower.
Comment too long. Click here to view the full text.
>>8291647 Why not harness this gorilla-joule of volcanic pressure as a green energy a-la hydro power? We can use the magma/lava as heat and invent some kind of machine to harvest the immense pressure. We don't even need batteries to store the excess, just have like a spigot or something to allow more or less pressure and heat into the generator depending on our need.
>>8289196 Of course not. It doesn't sound like he actually has a solid grasp of the kinds of problems that philosophy actually engages with, and if he does he's reducing them to egregious simplifications. Not to mention the kind of results that run "contrary to common sense" that something like physics provides lead to the kinds of consequences that would be deemed as philosophical implications
It's a very reasonable convention that fits with some convenient abstractions of the factorial. Most formal definitions of the factorial will explicitly state 0!=1 or it'll be a natural consequence of the same.
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