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HW problem: >If n is not prime, show that n divides (n-1)! . 4 is not prime, 3!=6 and 4 does not divide 6. Wtf?

I'm getting mixed messages. Some people say Python, others say Ruby, still others say C. But to this end, nobody seems in agreement. So, at the risk of starting a flame war, I'm gonna ask what the best development language would be for a beginner who knows the (very very) basic structure and terminology of a program. And since I know the answer is contingent upon what I want to develop, for the sake of having an answer, we'll just say video games and simulations.

So NASA released the details for the ARM mission yesterday at the International Astronautical Congress in Toronto. TL;DR version: They have outlined the concepts they have developed to bring an asteroid into either earth or lunar orbit using robotic probes, then sending NASA astronauts on an Orion capsule to study the asteroid in orbit and return samples to earth. Press Release http://www.nasa.gov/content/six-new-papers-detail-nasas-asteroid-redirect-mission-on-journey-to-mars Some relevant links for those of you who want details. Opinions? I like the idea that they want to start using Solar Electric Propulsion. It's an advance in Ion propulsion technology. >The Asteroid Redirect Mission and Sustainable Human Exploration http://www.nasa.gov/sites/default/files/files/IAC-14-A5_1_1-Gates.pdf >Synergies of Robotic Asteroid Redirection Technologies and Human Space Exploration http://www.nasa.gov/sites/default/files/files/IAC-14-A5_3-B3_6_7x26388_Brophy.pdf >An Overview of NASA's Asteroid Exploration Efforts: Past and Present http://www.nasa.gov/sites/default/files/files/IAC-14B31x24563-Mahoney.pdf >Technology Development for NASA's Asteroid Redirect Mission http://www.nasa.gov/sites/default/files/files/IAC-14-D2_8-A5_4_1-Moore.pdf >Asteroid Redirect Mission Concept: A Bold Approach For Utilizing Space Resources http://www.nasa.gov/sites/default/files/files/IAC-14-D3-Mazanek.pdf >NASA's Space Exploration Planning: The Asteroid Mission and the Step-Wise Path to Mars http://www.nasa.gov/sites/default/files/files/IAC-14-E3_2-Laurini.pdf

How exactly do I solve this without the parameter?

Hey /sci/, as a person who's not from the US, I saw this image the other day, with someone saying it was an example of "Common Core". I read a bit, and it's a one size fits all approach to education, so that schools across states have a consistent curriculum and method, which by itself didn't sound so bad, but then what's with the association between the image shown and this "Common Core" shit? Like, what exactly are they trying to teach children with this kind of ass-backwards thinking? I remember seeing other examples of Common Core teaching that were as mind-numbingly confusing as this.

Why do many americans deny global warming while the chinese communist party says it's real?

/sci/ I want you to talk shit on me. This was my lowest grade ever, a 64%, on a math test. It is 1st semester calculus. I just feel cheated on some of these problems. I obviously know where I fucked up but for example number 8 I used the derivative (something I learned from reading ahead in my math book) instead of using limits but I tried to cover it up by putting limits in there but it didnt work. I lost 2 points on my delta epsilon proof which makes me sad. all the other evaluating of limits I got correct. I used l'hopitals rule(something I learned from reading ahead) on number 9b but did the bullshit algebra so I wouldnt lose points. I feel like I got cheated on number 11. I knew all the calculus but fucked up on the retarded algebra problems, I feel so stupid because I thought the test was mostly going to be limit evaluation and other things, not this. we have 3 tests and a final 1 Limits but then half precal review? 2. Derivatives 3. Integration

I'm trying to find the variance for the negative binomial without using the moment generating function. The equation is V(X)= E(X^2) - E(X)^2. I have that E(X)= \frac{r}{p}, so E(X)^2 = \frac{r^2}{p^2} but I am having trouble with E[X^2] . What I have so far is E[X^2] = \sum_{x=r}^{\infty} x^2 \frac{(x-1)!}{(r-1)!(x-r)!} p^r (1-p)^{x-r} = \sum_{x=r}^{\infty} x \frac{r*x!}{r*(r-1)!(x-r)!} \frac{p}{p} p^r (1-p)^{x-r} = \frac{r}{p} \sum_{x=r}^{\infty} x \frac{x!}{r!(x-r)!} p^{r+1} (1-p)^{x-r} . But I don't know where to go from here. My general method is to get as much outside of the summation as possible and then make the summation equal to 1. But I don't really know how to go about that... any help or suggestions would be great!

I'm having a ton of trouble with pic related. Subject is monte carlo integration with the integrand being [0,1]^100 and B. B being a sphere of dimension 100 and radius 6. Pic related is the question. I have parts A and B, they were quite simple but I'm missing something with the sphere and google's not helping me find a clear enough answer. I think I should be fine once I get the concept of c) but all help is super appreciated. Here's the code for h(x): function h = hw3prob1(x) % x should be a N x 100 matrix. h will be a N x 1 matrix, with h(i) equal % to the function evaluated on the 100-dimensional vector making up the % i'th row of x. if size(x,2) ~= 100, error('x should be a N x 100 matrix'), end h = abs(sin(2*pi*x(:,1).*sum(x,2))).*((cos(2*pi*x(:,2).*sum(x.^2,2))).^2);

I guess my intuition isn't very good. I have a hard time accepting, provided the teachings that I've read online, that the idea of using an imaginary number is valid. Please try to explain this idea to me in a different way, using an example to deduce its validity, concisely or elaborately I don't care. I just want a response from any of you that actually know what you're talking about. Ty

I can do this kind of stuff, but I don't even know how to apply stuff like this in the real world. I don't even know how to apply the problems that I do in my Calculus class or even classes before that class in real life.

#climate-cuckoos now they make shit up about the "gravity of the planet". goddamn it.

Fag-tier question here: So is a magnetic field literally just photons eur what?

Hey /sci/, I need a little bit of help I am given the function f(x) = x^3+ e^x, and I need to find the value of the derivative of the inverse function when x = 1+e, e.g. if g(x) is the inverse of f(x), then I need to find g'(1+e). I just have no idea of how to find the inverse function in this case. Sorry to shit up the board with a homework question, the only other place I know to ask is stack overflow and I don't have an account there. Could I just get a hint?

> The applicability of the math induction on n variables can be proved by using math induction on a math induction

It's pretty much confirmed that Engineers are the unsaid alphas of all the STEM fields, right? Engineers are pretty much Renaissance men/Polymaths and are often the most multi-talented individuals.

hey /sci/, I'm working on a homework problem and am stuck at a specific point in proving this limit by the epsilon delta definition. Just want to be explicit, not looking for an answer, but rather help on understanding this concept that I seem to be struggling in. I've factored the |f(x) - L|<epsilon portion to be equal to a constant multiplied by the |x-c|<dellta portion, however am stuck on what to do next. Any ideas? Thanks

Is entertainment a waste of time? After all one could have spent the time learning something instead. Or is a certain amount of entertainment per day necessary to not burn out?

So guys how's your semesters going?

what are the effects of wanking/masturbation on the mind and soul ? how many a week is healthy ?