I am trying to prove that \int_0^{\pi/4} (\tan x)^{-\alpha} dx is finite for 0 < \alpha < 1, where the integral denotes the Lebesgue integral with the Lebesgue measure. I've decided wether it converges for all other values of \alpha\in\mathbb{R}, but am simply stuck with this one.
I've tried...
Alright, I think I have a fairly good idea on where to go from here. My book arrived today too, although I haven't really had the time to look at it yet.
Thanks a lot for your help, you really helped a bunch! :smile:
Thanks for your reply :-)
I have to write my project in week 49, so it's more than two months away, in fact, I am not even bound to my subject yet. I should be familiar with the subject, before week 49 though.
I've ordered the book on you recommended on the library.
How important would...
Hello there
I have to write an interdisciplinary project at school, in mathematics and physics, where I have to go beyond what is covered in the syllabus for mathematics. I have chosen the subject of chaos theory.
Can you recommend any good introductions, on this subject? And would I need...
Thanks for correcting me :smile:
No, I'm not.
What I was trying to say is that you can draw a line that's (almost) say 5cm, but it doesn't make sense to draw a line that's almost \sqrt{-5}cm.
All complex numbers can be written on the form a + ib where a and b are real numbers, and i is the imaginary unit, DEFINED as i=\sqrt{-1}. This is just definitions.
So complex numbers exist because we created them. They don't exist in a physical sense - you can't draw a line on paper with a...
Thanks for your reply :-)
I've been messing around with Maple 11 for a bit lately, using it to do my physics homework - just to get familiar with it. It does however, have some quite strange behavior or perhaps it's just me. For example trying to solve a quadratic equation
>...
Okay, thanks :)
I think I will learn Maple, as it seems to be somewhat easier. What's the best way to learn how to use it? Just the built-in documentation?
I know this is probably an all too asked question, but I've searched the web and haven't gotten any wiser.
I'm currently using my TI-89 calculator for all my calculations, it's fine, does everything I need, but, calculating precisely with some weird irrational numbers just feels clumsy...
Okay thanks, I'm doing my assignment in LaTeX anyhow so I'd prefer using that to draw too, but I can't find anything on drawing coordinate systems / vectors in LaTeX, got any links?
I need to draw a couple of vectors for a math assignment. Any recommendations as to what program to use for this? Can LaTeX do it?
Thanks in advance :smile:
Yeah, it wasn't too hard to install. Got it setup pretty nicely, using gedit (which I prefer over vim) for editing code, and then just constantly compiling it with latex and viewing it with xdvi. It's not too hard at all. Only thing is, it doesn't compile the latex code I download from the net...