A colleague of mine scrawled out some equations on a whiteboard a few days ago. As far as I can tell, they are a set of cross-coupled, vector-valued, two-dimensional, first-order nonlinear differential-algebraic equations.
I don't know what context exactly they are from, but IIRC they have something to do with the intercept of ballistic trajectories.
I've tried pretty much every trick in the book to sort this out. They're not seperable, they don't match any well-studied nonlinear ODE, and none of the integral transforms are of any help.
Let's see if anyone has any ideas. Equations are spread across three pictures.
For clarification, [math]x[/math],[math]y[/math],[math]x_1[/math], and [math]y_1[/math] all depend on [math]t[/math], but [math]v_0[/math], [math]\vec{V}_0[/math], [math]\theta[/math], [math]\vec{n}[/math], and [math]a[/math] are all constants.
What is the answer to the sleeping beauty problem?
I understand the Monty Hall problem easily and I know and can apply Bayes theorem, but this problem I don't know the right answer to, I can flip back and forth.
I was actually steadfast with my belief in one of the 2 main answers when I first saw the problem but then after thinking about it a lot I started to see the other side.
Two thirds of her interviews are on tails, and one third are on heads. So she should say "there is a one in three chance that you flipped head".
>>7700483
1/3 of the time she is woken it will be heads. 2/3 of the time she is woken it will be tails. Really not that hard to get and I don't know why people who understand Bayesian probability have problems with this.
What diet has the best scientific support?
>>7700289
eat a bit of everything, mostly vegetables
I try to stick to the Mediterranean diet myself.
Intermittent fasting has many benefits.
Who /naturally stupid/ here?
>low IQ of 115
>not a natural at math, have to work hard to do it
>nowhere near genius level, will probably just be an average engineer
Feels bad man
>>7700249
Stop complaining and start working.
>>7700250
I do work hard, and I do get good grades, but I don't know if I have the potential to do great things
>>7700249
I'd you're above average you aren't stupid.
tl;dr: I suck at math. How can I get better?
It's apparent that some people just have a mathematical mind. They have no trouble at all "seeing" numbers in their head and manipulating them. I've never been one of those types. I've always done much better at reading and writing. I flunked math every single year of elementary school, and I only received passing grades after that because I was in the remedial classes.
I won't bore you with the details, but I've been trying to become a smarter person, and I think I should build up my math skills as much as possible. How can I do this?
Everyone knows that you become a better writer by exposing yourself to examples of good writing, studying grammar and style, and putting those skills to use by writing.
But how exactly do you "do" math? What I'm looking for is some kind of activity I can do that will build up this skill over time. I know that many universities like Cambridge and MIT offer open courses, but those seem to run on a semester schedule, and I'd prefer something that I can do whenever I have a spare hour or two.
I'm talking about something that starts at an almost total beginner's level. I can do addition, subtraction, multiplication, division, and some very simple algebra equations, but that's it.
I'd appreciate any recommendations. Thanks!
>>7700199
Khanacademy.com
Seriously, the only way to get good at math is to practice over and over and over. Do problems until you can't forget the rules.
I've been "math-y" at times and "not math-y" at times. It depends how much you do it. When you do it a lot, and the concepts fit in your mind and you see the relationships between them, you'll be able to manipulate them well. It has less to do with ability than you think.
>>7700199
General rule of thumb, think geometrically, but work algebraically (this isn't to say algebraic intuition isn't important or helpful). Also, as the other anon pointed out, practice! Mathematics is not a spectator sport. Go back to the very basics and make sure you can do those and understand why they are true
Who here also /putnam/?
I'm kinda freaking out. I'm a junior and this is my first year taking it, and I didn't prep at all because I was lazy.
I'm looking at practice problems now and I'm hardly coming close at all to a correct answer.
I suppose there's always next year.
I'm taking it.
Why would you freak about about a non-mandatory exam that's taken just for fun and has no bearing on your potential skill as a professional mathematician?
Just relax, dude. If you do poorly, then great - you're like everyone else.
>>7700118
im a freshman who is shit at math
do i have any reason to consider taking this
>>7700124
Honestly? You have no business being there... if placing is your concern.
But it's just for fun, so just show up and see what it's like. It's just an experience. Don't worry about it.
The last 3 brick houses I've lived in were all falling apart like this but -ONLY- in the area where the large plastic wheeled bins were parked.
Is it possible the bins themselves are somehow causing this? Wind? Static electricity?
>>7700078
shit batch of mortar,
We live on a planet, that lives in a solar system, which live in a galaxy, which lives in a universe, which lives in a higher dimensional universe, which lives in your mum.
>>7700000
Fuck you, why did we need to switch from Rad to Gray? What was the problem with Rad? Is science just amusing itself at this point?
>>7700000
no one gives a fuck
what would happen if you jumped into a pool of capsaicin
You'll get a boner
>>7699917
Probably nothing. Capsaicin only affects birds. You should do it anon
Why can't the US into overall high quality and quantity in science?
How will they survive if only a very small number of people are extremly high qualified while the Rest of the population is literally 3rd world shithole tier education-wise?
Pic obviously unrelateted? Amount doesn't mean quality.
>>7699781
I can confirm so.e countries make it painfully easy for you to graduate.
>>7699781
Yeah right, quality of education obviously sucks in the top 5 countries...
It's measured per capita btw
Serious question.
Would a solar shade help solve or at least slow down Global Warming? What would be the benefits and disadvantages of such scheme?
The UN seems to think this seemingly insane idea likely, since it has moved to banned any type of "planetary solar shade".
If the shield is outside of our atmosphere, yes.
One thing you have to keep in mind is that the sun is so far away that the beams of light are virtually parallel. In order to block 3% of the suns's rays you would need an object 3% the surface are of a circle with the Earth's radius. That's a big-ass fucking floating satellite.
Just an idea, how terrible will inducing a small scale nuclear winter be?
Wouldn't there be enough residue to block enough light, or is it not that simple?
Inb4 tinfoil wrapped testicles
http://www.space.com/17933-nasa-television-webcasts-live-space-tv.html
ORBITAL CYGNUS LAUNCH TO ISS
LESS THAN 10 MINUTES UNTIL LAUNCH
>>7699471
here's hoping for better weather....
FLIGHT CONTROL IS NO GO!
http://strawpoll.me/6178705
Been reset, another 10 mins
The latest delivery to the ISS is being launched today on an ATLAS V 401
T-14 minutes
http://www.nasa.gov/multimedia/nasatv/
>>7699451
well...maybe today.
this nasa tv host talking girl is qt as fuck bros
not the high test one
>>7701657
the launch voice girl
From Yale Daily News:
>Students question STEM profs’ awareness of campus issues
https://archive.is/cZWTu
Excerpts:
>On Nov. 29, physics professor Douglas Stone released an open letter expressing support for Silliman College Master Nicholas Christakis and Associate Master Erika Christakis. In the days that followed, students began to raise concerns that the professors who chose to sign onto the letter — three quarters of whom work in STEM fields — are out of touch with campus climate.
>“The fact that the large majority of the faculty that signed this letter in support of the Christakises are in STEM just shows how far-removed from reality these people are,” [American Studies major Olivier] van Donselaar wrote. “Maybe we should require faculty to take an ethnic studies class too?”
>“I have a suspicion that, unless they are involved with residential college life, STEM faculty members are just as far out of the bubble as people who are not at Yale at all,” [Biomed Engg major Bianca] Li said. “When professors were present, I didn’t even feel comfortable reaching out to my friends about how they were being impacted by the Christakis email except very briefly before a class with a STEM professor who is a woman of color.”
>Some students suggested that STEM faculty are in general less likely to be aware of debates on campus due to the nature of professors’ respective fields. Astrophysics major Kareem El-Badry ’16 said that, while many non-STEM fields directly or indirectly engage with the questions underlying the debates on campus, STEM professors tend to have less direct experience studying the issues.
>>7699350
https://archive.is/cZWTu
>This afternoon, several professors from STEM departments including MCDB, MB&B and physics will host a luncheon for students to talk with faculty about racial debates and concerns on campus, according to Joyce Guo ’17, one of the event’s organizers.
>Guo said the professors, who asked not to be named, hope to express a renewed commitment to attentiveness and support for students of color at the luncheon. The event will be held in the Silliman Fellows’ Lounge, and will happen again next Friday. Li said she hoped dialogues such as today’s luncheon would serve to better incorporate STEM faculty into the discussions on campus and make it easier to include STEM faculty perspectives in the dialogue.
>>7699350
>STEM faculty members don't care about inconsequential issues concerning the "adult daycare" side of campus
No fucking shit.
>>7699350
>liberal new-age offended by everything poison spreading
>faggots angry STEM professors don't care for it
WHO WOULD HAVE THOUGHT?
Which is the cooler field for a math/cs double major, AI/ML/BigData or scientific computation?
>>7699288
Since you're lacking the critical thinking to make this decision on your own, neither field will hire you.
>>7699297
Ok I will just do code monkeying
Bump
