Hello. On fear of hijacking it, I didn't want to merge this with a similar thread earlier.
Have you ever received an undeserved GOOD grade? Such as an A+ in a class, when you feel you should have received a B, or B-?
I'm suspicious I'm getting better grades than I should. Yes, I am indeed...
Homework Statement
I have a solution to the following problem. I feel it is somewhat questionable though
If fn converges uniformly to f, i.e. fn\rightarrowf as n\rightarrow∞ and
gn converges uniformly to g, i.e. gn\rightarrowf as n\rightarrow∞ ,
Prove that fngn...
Homework Statement
How do I determine the parity of a permutation? I think my reasoning may be faulty.
By a theorem, an n-cycle is the product of (n-1) transpositions. For example, a 5 cycle can be written as 4 transpositions.
Now say I have a permutation written in cycle notation: (1...
This is an intro to analysis problem.
I have already finished this proof (see attachment). I would like someone to check it for me. Its really short and easy. Thanks! -Abraham
Tags:
-Cauchy series
-Infinite series
-Limits
This isn't really hw. I need someone to explain a certain line in a proof:
" b2 \leq \frac{1}{n} for all n in the natural numbers. This implies that b2 \leq 0 (a consequence of the Archimedean property). "
I don't see how the Archimedean is applied in this context. This is my understanding...
x,y are in R. Suppose x2+y2=0. Prove that x=0 and y=0.
My proof:
Suppose x\neq0, y\neq0. Then by the field axioms, both x2 and y2 are strictly positive, and so is their sum. This is a contradiction, since we supposed that their sum = 0.
Thus, x=0, and y=0.
This problem and proof...
I've taken a first semester course on PDEs. Basically all we learned was separation of variables and method of characteristics. I understand that there are transforms out there, such as laplace and fourier. However, it looks like there aren't many analytical ways of solving PDEs. Mind you, I'm...
For example, if I want to show that there is no real # solution to
x2 + 24x2 = -1
is it correct to show that
d2/dx2( x4 + 24x2 ) = d2/dx2(-1)
---> 12x2+48 = 0
And since x^2 is >0 or =0, 12x2+48 ---> 0 + 48 \neq 0
Therefore, there is no real number solution to x2 + 24x2 = -1...
Sorry about the botched thread title. I meant it to read "How many foreign languages can you take at once."
I'm wondering if there's a recommended limit for how much can be done at once? I'm not concerned with how much work it'll take, I'm concerned if there's a limit on my brain that I'm not...
Homework Statement
Find the general solution of
\frac{dy}{dt} = 2y +sin(2t)
Homework Equations
The general solution of a nonhomogeneous ode is the particular solution of the nonhomo plus the solution of the homogeneous ode.: y(t)= y_{p}(t)+y_{h}(t)
The Attempt at a Solution...
I've taken maths through calc 3.
I understand the Maclaurin series represents a function f(x) as a power series: \sum(c_{n}x^{n})
But how the heck did Maclaurin figure out that the series \sum(c_{n}x^{n}) could represent f(x)? I mean, that's clearly not obvious from inspection. I want to...
I'm switching from aerospace engineering to mathematics.
I'll take any and all advice / suggestions / comments you might have
Here are my reasons:
1.) I feel as if the aero program gives only the bare minimum math
required to get through. I want to go on to grad school in Aero E, and...
I've taken maths up to calc III, and want to learn linear algebra over the summer.
My school won't let me take more than 21 credits, which is what i'll be having for the next few semesters.
I'm familiar with elementary row ops, gaussian elimination, least squares, but not much else. Is...
I'm considering this for summer at my local university (it doesn't have summer I or summer II options). Is it possible to do dynamics and statics all at once?
Thanks!
hello. I have a fortran code that has data points as output.
How do I get fortran to plot these data points using gnuplot?
Is there a way to call the external program from within fortran?
I am using fortran95, gfortran compiler. I'm on a windows machine, but
I'm connected remotely to...
Do Graduate Schools Look at "Extra Curiccular Involvement" In Admissions?
I'm a freshman in the honors college, and we were told to make a resume that we'd like to have in four years when we graduate.
I wrote that I'd have a B.S. in aerospace engineering with a minor in nondestructive...
How important is gpa in college? How did it factor into you getting your current job?
I don't find learning material difficult, but testing is killing me. I was so rushed these first few college exams.
I understand the material very well. My style of working is carefully checking each...
We need to design a model rocket from scratch that is resistant to crosswinds and keep its trajectory withing a target zone.
Does anyone know any methods to keep a model rocket stable in windy conditions?
My idea was to make the rocket rather heavy, to resist the force of the wind. Would...
Homework Statement
Solve:
\int\sqrt{x^2-1}dx
Homework Equations
This is where I need help. What integration technique do I use? u-substitution? Integration by parts? None seem to work. As an added note, I've been trying to teach myself some calculus II work over the summer, so I...
Anyone know any good introductory philosophy books?
Unfortunately, all the intro to Philosophy courses at my university are closed until next year. I'm an engineering major, which practically has nothing to do with this. However, I find myself highly interested, or at least intrigued, by...
I'll be an AerE freshman this fall, and I was amazed at my university library's stacks of journals. The peer-reviewed journals seem to have so many articles and details, that it seems as though someone has already done some research on just about everything. So for anyone who is a researcher, do...
Could someone please explain to me how to do basic integration using the change variable method?
I understand how to find "u" in the integrand, and then find du/dx, but I don't really know what's going on after that.
For example:
\int \sqrt{ln(x)}/x
u= ln(x), right?
and du/dx = 1/x...
I know that the force of friction is the (coefficient of friction) x (normal force). My question is, why isn't area involved? That is, why wouldn't a larger surface have more friction than a smaller surface, if the normal force is the same?
PS: Sorry, just in case this is in the wrong section
Hi All,
I'm a junior in HS. I have a research project due this semester for Physics B (first year introductory college physics).
Last semester I did some research on boundary layers, friction loss in pipes.
This semester I've decided to do some investigation on air breathing rocket...