This blog is the second extension of MRB Constant. On May 8, 2012 I replaced some missing parts of this blog.

Some Numerical Qualities Part 1 Please, do not expect me to rehash what I have learned from books, at school or anything from the external links (or refferences to books) that have already been posted in this blog. I intend to write only that which comes from personal investigation,...

This blog is an extension of MRB Constant post (at that time called a blog). It was written in December of 2006 as a part of the MRB constant post. I seperateded it and MRB constant B to try to make the original post easier to read.

On May 5 and 6, 2012 I added some old content that was once lost. However, some of...

What is the command gc() used for? Thanks in advance !!

Hi,

I have posted the topic once, but as recieved no reply, I am trying a little force, hope it ain't forbidden:-)

Ok, basing on Carl-Rubin theorem, it is easy to determine UMP test for testing H0: p<p1 or p2<p vs H1: p1<p<p2 where p1 and p2 are given probabilities. To test this at some significance level alpha, we repeat a Bernoulli scheme B(p) n times. In fact, for us to obtain a UMP test for H0 at the level alpha, we have to construct a randomized test, based on a statistic S being the number of successes. If S falls between x_a and x_b we decide to reject the Null Hypothesis. If S happens to be x_a or x_b, then we run another experiment and basing on its result we reject or accept H0.

Dear All, I am enquiring as to how the "Eigenvectors" function in Maple (I am using version 10) orders the eigenvalues that it returns (and hence the eigenvectors). That is to say, if I input it with a matrix of complex floats, does it just return the eigenvalues it happens to find randomly, or is there some ordering in the vector of eigenvalues it returns? I ask this because if I input it with say a diagonal matrix that is symmetric about it's centre, then the vector of eignevalues returned is also symmetric. Is this just a coincidence in that maple happens to find the eigenvalues in that order, or does it choose to return them in that order? Otherwise, if there is no symmetry in the input matrix then there appears to be no symmetry in the returned vector of eigenvalues.

So I thought it would be cool to go buy Vista, not thinking that some of my favorite applications won't work in it. So is there a way to install Maple 10 on Vista Home Premium? If so, any help on that would be greatly appreciated. I don't know if I could go a full day without Maple capabilities. Thanks! Brandon

Occasionally when I do an inline solve, the result is shifted to a new line directly below my input (not centered like a ; solve). Is this a known bug? Is there a way to prevent this from happening? Thanks

Does Maple read .DVI files? if so how do you load them if not is what is a good program to read .DVI format.

Does anyone have anymore infromation on the XMLTools[Tranformation]() package function? The help? files are limited and unchanged since 9.5 ( i suspect earlier ) - does the XSLT use XPath or another method, as the schemas ( given in the help files ) use statements like: ...xpath=".//xppmath|.//xppedit"/... Is this strictly and 'xsd:selector' syntax or can the xpath selection be given in an xsl transformation document? - at the moment the statement: ...value-of select=\"node_name/@*|text()\"... will select the attribute of the node and and: ...value-of select=\"node_name\"...

So, take the procedure d := proc (n) options operator, arrow; piecewise(n = 0, 1, `mod`(n, 2) = 1, 2, `mod`(n, 4) = 2, 4, `mod`(n, 8) = 4, 8, `mod`(n, 16) = 8, 16, 32) end proc I tried to use unapply, but it doesn't work at all and gives strange results.. it appears to evaluate the mod beforehand. So, just evaluting d(n) above works fine > l := [seq(d(n), n = 0 .. 16)]; l := [1, 2, 4, 2, 8, 2, 4, 2, 16, 2, 4, 2, 8, 2, 4, 2, 32] However, simplify(d(n)) destroys the function. Also, prod(d(n),n=0..m) returns the wrong values, mul(d(n),n=0..5) works for a finite value such as 5, but does not work symbolically... what gives, why is maple behaving so badly with the mod operator? Any help would be greatly appreciated.

If you want JordanForm to give the matrix Q that Jordanises the Matrix A then the Help pages tell you to use JordanForm(A, output='Q'); Unfortunately this doesn't work inside a procedure that has Q as a local variable: proc(A) local C; JordanForm(A, output='C'); end proc: generates an error on execution. I'm not sure whether this is a bug although it is surely a poor state of affairs. I don't understand why the syntax has been set so that the value of the option is the global name C - is there some possible advantage to it? . Surely it would avoid all such problems if all options and option values (of this sort) were either reserved words or strings. So then the syntax would be

hi there, The "Maple Advanced programing guide" was produced using a special version of Maple that reads and updates latex files, where can I get such a version? ANYONE KNOWS?

Could anyone help me? How to get the set of non-neg-int solution of x+y+z=n?

It's happened a number of times for me that after I hit

Hi! I was trying to execute a simple ComboBox maplet in Maple 11, but everytime that I try to make use of, the below message is presented: Execution Stopped: Stack limit reached. Can anyone help me? Thanks, João Paulo Laudares