Recent content by Gear300

Sorry for the belated reply. I guess I could try simulating it to see if I find something. Do I even need to find the joint distribution to answer parts (b) and (c)?

The set of possible points should be that half triangular area in the unit square where x2 < x1. But I don't think it is uniformly distributed, since otherwise the marginal distribution of X1 would not be uniform. (Haha, silly problem I know, but I had to ask since I'm not sure.)

I am not too sure about parts (b) and (c). I guess it's reasonable to speak of a joint distribution of (X1,X2) after drawing both points.

Ah that's right, ##\sum_i a_{i0}^3 = 0## should hold 😅. Using only first order polynomials, there are four equations, $$ \sum_i a_{i0}^3 = 0 ~, \quad 3 \sum_i a_{i1}a_{i0}^2 = m ~, \quad 3 \sum_i a_{i0}a_{i1}^2 = 0 ~, \quad \sum_i a_{i1}^3 = 0 ~. $$

Not to leave it hanging. ##p_1, p_2, p_3## such that ##a_{10}=a_{20}=a_{30}=1## and ##a_{11}=a_{12}=1##, ##a_{13}=-1## should work.

Thus space sports. Although as far as space is concerned, I was wondering whether or not telling "junior" to study nuclear plasma physics for the future of space jet fuel would be the right thing.

#6

My guess is that your answer is "yes, it is possible to multitask." Maybe I'll have the vision thing figured out one day.

Lol, I haven't determined that yet. Vision as well? I figured musicians could handle an ensemble of sounds, but also drawing artists? Sounds neat. Well thanks for the answers.

People cannot visually focus on more than one thing without going cross-eyed. Is the same true for mentally concentrating on multiple tasks? Like reading and listening to two different things at the same time when studying? Is there a trick that choreographers or performance artists know? Or...

I figured a lot of the shift to EVs is green financing, i.e. a momentary bridge between today and future technologies, despite their imperfections. Although I am unawares of the actual financial solutions involved (and of course the politics). I got the impression that many solutions for...

80 years, is it. Sounds neat, but probably beyond my gait at the moment.

Dang.

It was after listening to podcasts on Freeman Dyson two or three years ago that I was convinced that our best bet at Earth-Moon navigating was somewhere along the lines of a nuclear-chemical pulsed transmission. And I guess the subject matter leads itself into plasma physics somehow. (Funny...

I take it that the relative value of any currency is prorated by the country's gross national product GNP?