Recent content by Pallatinus

Thanks!

I'm currently a math undergrad, and I find that I love both, Math and Physics, and I want to study Mathematical Physics in grad school, but now I've to decide which path should I follow, next year I could change my degree to physics (my UNI physics department is much better structured and...

No, but there is new one near home that is pretty cheap. I will try out this week.

1. Great Advice 2. I already tried, I didn't work. But I can change mu schedule 3. I do this already, but I'll try to take it more seriously 4. I'm thinking about it, but I don't have the money, and my parents will not agreed. 5. Working on it. 6. Thanks, I will try some self-directed stuff!

I will try this simple formula, I've tried some effective methods and some work, but all of them require a lot of time. I'm scanning my routine and trying to change to the most optimized as possible.

I sleep enough, around 7-8 hours a day, but I haven't done any exercises last 6 months, gained weight about 11 pounds. I'm looking for a way to get back to the gym, or do some running, I miss exercising. About social anxieties, I never thought about it, but I think so, I feel irrationally...

Well, I'm a physics undergrad student and I am in the second semester. I feel unmotivated most of the time, I need to spend some hours reading textbooks to engage in a subject (And get amazed about it), but this requires time and willpower. Sometimes I got some time after class to study with my...

Indeed, I was not sure if I can imply that with a undefined slope. But It seen's that I can. Thank you for the help and patience.

My mistake, I know that the slope is ##\frac {\Delta y} {\Delta x}##. And this is the slope of the normal line. the slope of the tangent is ##\frac {-2x} {10y}## as I showed before. The slope of the tangent would not exist, and the slope of the normal line would be 0. Yes, I have noticed this...

I forgot to show it. If the slope (m), is ##m = \frac {\Delta x} {\Delta y} = \frac {f_y} {f_x} = \frac {10y} {2x}## If what I'm doing is wrong because of the point ##(X_0,0)##, what should I do?

(Sorry, I need to be more specific) I mean that the tangent line and the line that contains ##(X_0,0)## and have the gradient as its vector , If their slopes are negative reciprocal, aren't the lines orthogonal?

Yes, now I know what should I do: ##\frac {dy} {dx}= \frac {-F_x} {F_y} = \frac {-2x} {10y}## The slope of the normal line is ##\frac {10y} {2x}## and therefore they are orthogonal at any X and Y. Is this answer right? There are another solution that doesn't require the slope?

Homework Statement ##W = x^2+5y^2## Show that ##\nabla W## is perpendicular to the level curves of W at ##(X_0, 0)## Homework Equations ##\nabla f(x,y) = <\frac {\partial f} {\partial x} , \frac {\partial f} {\partial y}>## The Attempt at a Solution I know that the gradient is always...

I appreciate for all the help, I reach the conclusion that I should first use Weighing and Odds, It seems that is well fit for me in the moment and use Jaynes as supplement. I pretend to take a real analysis course next year and maybe use a measure theory book.

Thanks for the help! Information-theoretical approach is exactly what I'm looking for, but do you know if any of these books I mentioned will be a good complement? or I just don't need any?