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John
Stokes' theorem for the layman?
Okay, I'm at the end of the semester in Multivariate Calculus. I have the extremely nasty habit of not going to class, and teaching myself the material. Turns out Vector Calculus is a little harder than I envisioned, and my book reads like stereo instructions.
Can someone please break down Stokes' theorem, perhaps analogous to something in real life?
I understand the process, to an extent. I parameterize my boundary function, plug it into my vector field, and then take the dot product of F and r'(t). I have no idea how this relates to real life.
An example problem from my homework (The darn solutions manual only goes to chapter 10, this is 14. Jerks.):
Evaluate the line integral by evaluating the surface integral in Stokes' Theorem with an appropriate choice of S. Assume C is counterclockwise rotation.
F = <y², -z², x>; C is the circle r(t) = <3cos(t), 4cos(t), 5sin(t)>
Obviously the parameterization is done, but the answer I got was wrong.
Any help is appreciated!
Thanks.
2 AnswersMathematics9 years agoRepossessing an ex husband's car?
My girlfriend got divorced a little while ago, and in the agreement her ex-husband was supposed to transfer the car into his name and start making the payments. It's been 5 months since the divorce was finalized and he is doing neither.
The title is solely in her name, and the loan is primarily in her name with him as a cosigner. My question is rather than have the bank repossess the car, can she have it privately repossessed?
I don't see any immediate problems with it, since he's not upholding his end of the agreement. I want to pay the loan off and sell the car, since it is worth more than what's owed.
Any advice? I'm just trying to keep my girlfriend from having a repossession on her credit report.
Thanks!
2 AnswersLaw & Ethics10 years agoGetting back in shape?
Okay, long story short here:
I used to be in the USMC, so I was in the best shape of my life. While I was never a body builder, I considered myself to be in great shape.
I've been out for two years, and my discipline toward working out has been... lacking... to say the least.
I want to get back into it, but I really don't know where to start. I'm still reasonably strong, even though I haven't been working out for awhile I can still manage to put up 200 lbs on the bench, and run 3 miles in reasonable time.
I want to be where I was. My routine consisted of a mixture of HIT workouts and circuit training, mixed with heavy cardio, but I am nowhere near conditioned enough to do a high intensity workout like I used to.
I have a gym membership. Any suggestions of a program I can start with to get back into it?
.
1 AnswerDiet & Fitness10 years agoDobsonian vs. Equatorial Refractor Telescope?
I'm having a bit of a problem here, and I was hoping a more experienced amateur astronomer could help me out.
I currently have an Orion XT6 Dobsonian telescope, and to put it lightly, I am having a heck of a time finding anything in the sky, and once I find it, tracking it is really difficult. Deep sky objects look fairly clear (All I have found so far are a few galaxies, 1 nebula, and a some globular clusters), planets look great, and the moon is awesome.
I've recently noticed that the Orion SkyView Pro 8" Equatorial Reflector Telescope is within my budget. So I have a few questions:
1) What would be the difference in image quality? I don't expect NASA quality images, but some detail would be nice
2) Would tracking with an EQ mount be easier than with a standard Dob mount?
3) Kind of related, would the images from a Cassegrain scope give me good views too?
If you think a Dobsonian is going to give me the best quality images, I will probably just upgrade to the XT10g computerized scope.
Thoughts or suggestions?
Thanks!
2 AnswersAstronomy & Space10 years agoGetting more programming experience?
I'm trying to keep up on my skills in computer programming while I have the summer off. I don't really have any time for a job, since most programming positions are full time around here. Does anyone have any suggestions to keep my skills sharp?
Currently I know Java, C++, and C#.
I am reading The Pragmatic Programmer and C++ Primer Plus.
Thanks in advance!
2 AnswersProgramming & Design10 years agoLooking to remodel my house?
I'm trying to generate some equity in my house I recently purchased. It's been partially remodeled already, but I want to get the most out of my investment.
I'm torn between the downstairs bathroom and the deck in my backyard.
The bathroom downstairs is only a 1/2 bath, but I have room to knock out the wall and put a shower in, and make it a full bath. The basement has already been remodeled into my master bedroom, as it has a 7x7 "room" adjacent to it that I'm using as my office, but could easily be converted to a walk in closet.
The deck outside is 10x10, but I have room to expand it to 10x15 and make it a lot nicer.
Which is more beneficial in the long run?
I'd do both right now, but I'm on a limited income and can only realistically do one this summer.
3 AnswersDo It Yourself (DIY)1 decade agoHelp tracking deep sky objects?
I ended up buying a used Orion XT6 dobsonian telescope, just to see if it is something I want to do for an extended period of time.
So far I've only been able to use it in my backyard (my summer cabin isn't open for the season yet), but Saturn has been in the sky this month and it is absolutely breathtaking to look at.
I am just looking for some advice on tracking deep sky objects. I'm new to using telescopes, so I don't know what I can and cannot see with a 6" telescope.
Does anyone have any general guidelines for me to follow?
Astronomy & Space1 decade agoWhat kind of telescope should I buy?
I'm trying to get into a little astronomy as a hobby. I've always been fascinated by things of that nature and I wanted to see it for myself. I have a lakeside cabin that I go up to in the summer, and it's a fantastic place to view the night sky, so I wanted to know if anyone could recommend a good telescope for me?
I read that anything under $200 is pretty much guaranteed to be garbage, so I am willing to spend ~$600 for a nice amateur scope. Does anyone have any suggestions?
Thanks!
5 AnswersAstronomy & Space1 decade agoParsing a vector's values into an integer in C++?
Hello everyone,
I'm working on a project for school that concerns constructing Base-b expansions. I understand the algorithm and what it is supposed to do, but I'll type the pseudocode here because it is relevant to my question:
Procedure base b expansion (n: positive integer)
q := n
k := 0
while q != 0
begin
a_k := q mod b //a_k is read as (A sub k)
q := q/b
k++
end
The base-b expansion of n is (a_(k-1) ... a_1 a_0)
I need to store those a_k values somewhere, but I don't know how big the number is going to be, especially if I were to convert say, 4159 to base 2 (binary).
I want to use a vector to store those values in, which I think would solve that problem, in terms of displaying the correct output (using cout << a[k] ... a[0]).
But I also need to be able to use that number for other things. If each number is separated in an array, can I somehow pull those values out and construct an integer out of it?
Ex.
if a[4] to a[0] are 3 0 0 7 1, can I take those values and combine them to make int x = 30071?
I hope this is clear what I'm asking, I tried to make it as concise as possible.
2 AnswersProgramming & Design1 decade agoDo wireless headphones interfere with Wi-Fi?
Just wondering if a wireless headset for a computer would affect a home Wi-Fi network. They both run on the 2.4 GHz band. I'm running a mix of wireless B/G/N on my network.
Anyone know?
2 AnswersComputer Networking1 decade agoDoes this series converge or diverge?
Trying to review for my calc II final on monday, and I have a question regarding the following question:
∞
Σ 5/(5n-3)
1
It looks like the series converges, but I can't prove it.
I tried the nth term test, but it came back as 0, which means the test is inconclusive.
Anyone have any ideas?
3 AnswersMathematics1 decade agoJava boolean question?
Hey, I just have a quick question.
I have an if statement whose condition is a method call, and I want to know what that if statement is looking for.
example:
if (methodCall(params)) {
<do this stuff>
}
public static void methodCall(params){
if (stuff == other stuff)
return false;
else
return true;
}
does the if statement in the first part only execute if the value returned from methodCall is true?
If you need more clarification, please let me know.
Thanks.
3 AnswersProgramming & Design1 decade agoPhysics conceptual question?
This is a practice exam my professor has released for our test tomorrow, I was hoping I could get an answer to clarify. She's pretty tricky with her wording.
Bill and Susan are both standing on identical skateboards (with really good ball bearings), initially at rest. Bill weighs three
times as much as Susan. Bill pushes horizontally on Susan’s back, causing Susan to start moving away from Bill.
Immediately after Bill stops pushing.
a. Susan and Bill are moving away from each other, and Susan’s speed is three times that of Bill.
b. Susan is moving away from Bill, and Bill is stationary,
c. Susan and Bill are moving away from each other, and Susan’s speed is three times less than that of Bill.
d. Susan and Bill are moving away from each other, with equal speeds.
Based on the given information, I deduced that since Susan is 3 times lighter than Bill, not only does bill have a weight problem, but when he pushes off Susan, Newton's third law states that there is an equal and opposite reaction. So Bill would be moving 3 times slower than Susan.
I chose answer A.
Is that correct?
4 AnswersPhysics1 decade agoWhat kind of calculator should I buy for engineering?
I'm about to go into my junior year of computer engineering, and I was wondering what kind of calculator I should look into purchasing as I progress down the engineering path.
Currently I have a ti-84 plus, which has been sufficient thus far for my math classes, since we rarely use calculators in calculus anyway. Once I get to electronics and theory I imagine I am going to need something more advanced.
I'm a top of the line kind of guy, so the same will apply for my calculator purchase. Currently I'm torn between the Ti- Nspire and the HP 50g.
Any suggestions would be greatly appreciated! Thank you!
3 AnswersEngineering1 decade agoWhat kind of calculator should I buy?
I'm about to go into my junior year of computer engineering, and I was wondering what kind of calculator I should look into purchasing as I progress down the engineering path.
Currently I have a ti-84 plus, which has been sufficient thus far for my math classes, since we rarely use calculators in calculus anyway. Once I get to electronics and theory I imagine I am going to need something more advanced.
I'm a top of the line kind of guy, so the same will apply for my calculator purchase. Currently I'm torn between the Ti- Nspire and the HP 50g.
Any suggestions would be greatly appreciated! Thank you!
1 AnswerMathematics1 decade ago