Recent content by nille40

Hi, and thanks again! The problem with this assignment is that nothing is defined. The question is asked so that the answer should apply to some arbitary linear transformation \mathcal{A}:\mathbb{R}^n\rightarrow\mathbb{R}^m. This is where the problem appears - I don't know how to prove it...

Hi! I'm in serious need of some help. I am supposed to show that a transformation \mathcal{A} = \mathbb{R}^n \rightarrow \mathbb{R}^m can be separated into \mathcal{A} = i \circ \mathcal{B} \circ p where p is the projection on the (orthogonal) complement of the kernel of \mathcal{A}...

That is to bad! But is there a TeX rendering library available somewhere? Not a tex2dvi compiler, but a renderer... for java, perhaps?

Hi! Thanks for the ambitious response! However, I have failed to understand your explanation. I therefor post some more questions: How can I define the projection on the complement to the kernel of \mathcal{A}? If i:\mathbb{R}^n \rightarrow \mathbb{R}^m, what is the purpose of i if the...

Thanks for responding! However, I was more thinking of a chat client, like ICQ, MSN, IRC or similiar. Thanks again, Nille

Hi! Does anyone know of a chat program where you can use latex or something similar to typeset math in a chat? Like this forum, but live... Thanks in advance, Nille

Hi! I'm in need of some help regarding an assigment. I need to understand the concepts in the problem, and they are not explained in the literature we are using. This is the problem: Given a linear transformation \mathcal{A} = \mathbf{R}^n\rightarrow\mathbf{R}^m show that it can be...

My suggestion is to use java and simply call C++ code through JNI. That way you won't need to perform bit ops in java, but marely delegate from from java to c++. That way, only the gui is implemented with java, not the actual logic. You could do this, for instance: public class...

The area bounded by f(x) and g(x) where a \le x \le b is given by \int_a^b \left|f(x)-g(x)\right|\mathrm{d}x Consider the integral \int_{\pi}^{2\pi} \sin x \mathrm{d}x The graph is below the x-axis, so the value will be negative. An area can't be negative, so you just take the...

Hi everybody! I'm looking for a good \LaTeX editor... I'm primarily looking for an application where text and styles are WYSIWYG, but mathematical expressions are written using latex. I tried LyX, but didn't really like the one... I'm currently using TeXnicCenter, which has a few to many bugs...

\lim_{x\rightarrow 0} f(x) = \left(1 + 0.1x\right)^{\frac{10}{x}} = \left[\begin{array}{cc} t = \frac{1}{10x} \\ x = x \rightarrow 0 \Leftrightarrow t \rightarrow \infty \end{array}\right] = \lim_{t \rightarrow \infty}f(t) = \left(1 + \frac{0.1}{t}\right)^{t} = \ldots Something with e...

Aha... I always enjoy the "there is no good way to do that" answer :) But that was pretty much what I figured... I tried a number of ways: 1. If you organize the order of each element in a list you can easily find a bijection between the groups. But this becomes a bit complex when you're...

Thank you both very much! I'll post yet another question, in case you don't have anything better to do... 2 groups \langle M_1 \mid *\rangle and \langle M_2 \mid \diamond\rangle are isomorphic if there exists a bijection f:M_1 \rightarrow M_2 such that f(x * y) = f(x) \diamond f(y)...

Ok, I have an idea. Lets say we have dices in a line. The first dice has the value 1, the second 2, the third 3...the sixth 6. This yields the equation x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 4 So the solution x_1 = 2, x_3 = 1, x_4 = 1 means that two dices has the value 1, one has 3 and one...

Perhaps this can be of some assistance: A \cup B = \lbrace e \mid e \in A \lor e \in B \rbrace The size of the union would be |A \cup B| = |A| + |B| - |A \cap B| Whch means "all the elements in A + all the elements in B - the elements in both A and B". Nille