Recent content by kompik

It seems that mathim was changed again. When I try to copy the text from mathim, there are no dollar signs, some symbols are copied as unicode symbols, some of them are not copied at all. :-(

Thanks a lot, tommycli! It works nice - the clipboard contains dollars now.

When I type in mathim chat http://mathim.com/ and I try to save all text simply by selecting it, all dollars got lost. Otherwise the TeX markup is kept. I think a possibility of saving it with dollars would be useful, since then I could save the text of chat and process it with TeX. A side...

http://www.mathdb.org/notes_download/elementary/algebra/ae_A2.pdf

As far as I can say, they are. You have \left|\int^1_0 g(t)h(t) dt\right| \le \int^1_0 |g(t)| |h(t)| dt \le \int^1_0 |g(t)| dt therefore ||\varphi_g|| \le \int^1_0 |g(t)| dt . I think that ||\varphi_g|| = \int^1_0 |g(t)| dt holds. A naive approach to show this would be trying to...

You can imagine any relation a a table with 7 rows and 7 columns, where you indicate in each position whether the corresponding elements belong to the relation. (This is basically the same as working with the graph of this relation.) A relation is symmetric if and only if this graph/table is...

Just to save time of potential helpers - the same question was posted in different forums as well and it was answered in mathhelpforum. (I think this should have been done by the OP.) http://groups.google.com/groups/search?q=green+theorem+apostol+kellypedro...

Two basic facts you should know (and use them in this exercise): The equality det(A.B)=det(A).det(B) is true for any two nxn matrices. And we have for any invertible matrix det(A^-1)= ? (I think you should be able to guess the result using the definition of the inverse and the...

Are you supposed to use Lagrange multipliers? Perhaps the approach minimizing would be good, too. Reformulation: Minimize H(s,t)=(t-s)^2+(t^2-\ln s)^2 for s,t \in \mathbb R and s>0. Differentiating: H_t=2(t-s)+4t(t^2-\ln s)=0 H_s=-2(t-s)-\frac{2(t^2-\ln s)}s=0 Adding these two...

Sorry, my mistake. What I've posted is an example of ring with only one-sided unity :-( I've tried UTFG, here's an example from the book Tsit-Yuen Lam: A First Course in Noncommutative Rings Many rings satisfying some form of "finiteness conditions" can be shown to be Dedekind-finite, but...

What about this http://planetmath.org/encyclopedia/KleinFourRing.html"