Recent content by TheDS1337

$$\delta(x)$$ is not a function but a distribution according to Distribution Theory, I do not think of any possible case of finding it under a squareroot?

You are confusing an integrand with a function, notice that after integration of f(x), the dependence of x is totally lost and you have a real number, hence F'(x) = 0

Well, I'll tell you my opinion on this issue. A lot of people (even my physics professors) advised me to take on such a career because computers are "everything" nowadays, and the jobs pay well. That's because like you, I grew up having a huge love for computers and programming etc.. and it all...

W = (.91 R / .7) - R = (.91 R - .7 R) / .7 = .21 R / .7 = 0.3 R Indeed, my calculations puts into consideration the molecules of water and ethanol are both treated equally, although it's not the case because ethanol and water density is not the same. with ethanol being 789 kg/m³ and water...

No problem, althought you might carefully read jbriggs444's comment if you haven't already.

Remember, the extra 2.613 - 2.01 oz was already included in that 9% of the solution

So, you have 0.91 * 6.7 ounces = 6.097‬ ounces of pure alcohol. You want to have a solution with 70% alcohol, so, 6.097 = 0.7 * x, therefore the, x = 8.71‬ So you should add 8.71‬ - 6.7 = 2.01‬ ounces of water to get there. That's atleast what the maths says, I don't know chemistry so if...

I don't know much about PDEs but I see you're looking for two functions here, shouldn't there be a system of coupled equations instead of just one?

Neat, I've done some point set theory in the past but not so much, I think the hardest part in it are the proofs.

Nice, I'll give it a look! and ahh... I always find myself asking more questions when talking to mathematicians, I know that a lot of you guys had different paths in learning mathematics, I don't want to create another thread just for this because the question may seem silly... However, How...

Well, I'm actually a graduate student in Physics, I've always been thought from a physicists point of vue "only physics matter", not only that, even the modules I had didn't really require much of mathematics... like the most abstract stuff we did in Relativistic Quantum Mechanics was group...

Very interesting stuff from the both of you, I see now why manifolds and euclidean spaces relate to each other locally. As you can see, I'm just a newbie into these stuff, I never done topology nor differential geometry before, and definitely not much in abstract algebra. I need a little help...

So, I'm a little confused and I thought I might get some help here. I have just started learning about manifolds and its super confusing because I've always worked with Euclidean spaces, too much that I didn't even realize it's euclidean and that it has different properties from others. So my...

Hello, my name is Amine and I'm a 21 years old male from Algeria. I am currently first year post graduate student in Theoretical Physics and I ended up finding this forums after some endless cycle of searching and I found it especially helpful. I hope you are all doing great, have a nice...