Get this Quaternion Package from Maple's Application Center. Make sure you get the March 2007 version not the March 2005 version.

Overview on Hamilton Quaternions

A Hamilton Quaternion is a hypercomplex number with one real part (the scalar) and three imaginary parts (the vector).

This is an extension of the concept of numbers. We have found that a real number is a one-part number that can be represented on a number line and a complex number is a two-part number that can be represented on a plane. Extending that logic, we have also found that we can produce more numbers by adding more parts.
Quaternion --> a + b*i + c*j + d*k, where the coefficients a, b, c, d are elements of the reals

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Recently I was skimming on the Internet for algorithms for alignment of biological sequences (e.g. DNA sequences, protein sequences). The usual purpose of such comparisons is to determine the evolutionary genetic history of two sequences, which in the case of DNA you can think of as strings over the alphabet {A,G,C,T} (the nucleobases). Differences between sequences can arise though substitutions (A → G, G → A, C → T, or T → C), insertions, or deletions. In the last two cases, the resulting string differs in length from the original, and dealing with these size differences is the chief problem that alignment algorithms face. The Needleman-Wunsch algorithm is a very straightforward global sequence alignment algorithm, first proposed in 1970. It's a good example of the applicability of dynamic programming towards biological problems. Following is a Maple implementation based on this Ruby implementation. The algorithm depends on a similarity matrix which measures the "mutational distance" between two nucleobases. It takes two input strings, and returns two strings with dashes ("-") inserted to indicate insertion or deletion events between the sequences.

I am happy to report that MAPLE11 seems to compile whole lot faster than MAPLE10 !

I have been teaching University Math courses and recently posted two worksheets about pendulums. The first is on the double pendulum and the latest is for a pendulum with a moving pivot. These are just two of the problems presented to my students in their introductory Differential Equations course at the NSAC. I am interested in any comments about either worksheet. View 4221_double pendulum.mw on MapleNet or Download 4221_double pendulum.mw
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Greetings. As mentioned in earlier posts, I often find the answer given to a question regarding the use of the 'sum' command as: don't use 'sum', use 'add', and all will be fine. I agree, and I use the add command for adding numbers together. But, if all I am doing is adding numbers together, from a sequence and nothing else, why not use the 'sum' command. It seems to be orders of magnitude faster than the 'add' command if there are a large number of numbers(I have no metric for what large is as far as numbers go). As an example, I execute the code below and look at the results. > restart:

Well hello. My name is Phoenix:) I have recently started going to school for computers, information systems, and found out you need to be good at math to work with computers. Now don't laugh....but math didn't cross my mind when I signed on, and I am horrible with math :( I am 24 years old and am still learning my multiplication tables. That was one subject I just never could find any help with as a child, and now as an adult I am afraid I am clueless when it comes to anything mathmatical. I am taking the course online, so I do not really have anyone next to me in class to help if I get confused.

I have a brand new Dell Laptop in which Maple 10 simply will not load. When I double click the icon, nothing happens. There is an item that Maple puts into the Windows task manager process viewer "maplew.exe" but nothing loads. When I built the computer, I installed my software in the following order. 1) I performed all the windows updates (both high priority and optional) 2) installed Mcafee Virus Scanner 3) installed Microsoft Office 2003 (and did all the updates) 4) installed Sun's Java Runtime environment and did all the updates 5) installed Maple 10 6) tried loading maple but with no success

I thought I would take up a little time to write about some of the new plotting features in Maple 11. This post will give an overview of what is in Maple 11 plotting - subsequent posts will give more details on the individual features. Let's look at each of the features mentioned on the plotting enhancements page. All of these are only for 2-D plots.

Does anyone know if Maple's handwriting recognition feature employ statistical pattern recognition in some way ? v/r,

I was just wondering. Has it already been rigorously proven whether or not Planck's constant is transcendental ? A little introductory notes on transcendental numbers would also be appreciated. thanks,

Free Examples in MM Free Library on mechofmat.com.

Hello, I would like to use Maple in Statistics, but I have a problem with a speed of base functions, like generation, Mean, Range and Standard deviation. Maple computes slowly than MathCad. I have 4 test functions: Test of generation speed > restart: > > Digits :=10: > > test3:=proc(N,n) > local i,a,X; > use Statistics in > X := RandomVariable(Normal(0,1)): > for i from 1 to N do > a:=Sample(X,n): > end do: > end use; > end proc: > time(test3(30000,100)); Test of Mean speed > restart: > Digits :=10;

Hello all. At the company, we've recently had discussions on the future of printed manuals. Many software companies are moving towards CD-only packaging for many reasons. Today, if you buy the full professional version of Maple, you get all manuals printed. I just wanted to get a sense of your feelings on paper vs. electronic manuals. Thanks. T4.

Hi, I would like to know what is the most efficient way to store data in MAPLE? Matlab users would know that the output data of a code is put in subfile automatically and all you need to do is to save that library of subfiles of arrays, etc. Is it possible to do the same in MAPLE? Maybe it is something very basic but I cannot seem to find an efficient way of doing it... Thanks. Gurs