Embed content from another TikiWiki page into current page - tiki-wiki

I have a TikiWiki page describing an algorithm, for example
To calculate the square root of a number $x$ in R, use sqrt($x$).
In another TikiWiki page I include the algorithm in a bigger process, e.g.
Step 4: Now calculate the square root of this number, see ((square_root_in_R|here)).
However, I would like to embed the line To calculate the square root of a number $x$ in R, use sqrt($x$). from my other page into Step 4, so that the user does not have to refer to the other page to get the algorithm.
Is there a way to do this?

Feel free to use the wikiplugin INCLUDE:
{INCLUDE(page=square_root_in_R)}{INCLUDE}

Related

Field code to display equation numbers in Word

I am trying to write an article with some equations in Word; however, I encountered trouble related to displaying equation number with field code.
For example, I put a+b with the tool of Insert an Equation and insert the reference number just after the pound key with Caption tool.
To refer to this equation, I put the field code by using the Insert Cross-referencing tool.
However, even though I choose only label and number, Word shows the equation's entire, including both equation number and equation itself.
captured image (I just put the imgur link because I could not upload the captured image due to less reputation)
What I need is to display only the equation number.
Does anyone know how to solve this problem?

How can I write a logical process for finding the area of a point on a graph?

I have the following graph with 2 different parameters called p and t. 
Their relationship is experimentally found. Manually by knowing (t,p), you can simply find the area number (group) of the point based on where it is located. For example, point M(t,p), locates in area 3 and belongs to group number 3. However, I would like to write a code/logical approach which automatically finds the group numbers. therefore when it reads (t,p) it will find the location of the point and give the group/Area number it belongs.
Is there any solution in Matlab for this scope?  Graph
If you have the Image Processing Toolbox and your contours are closed, you can use imfill to fill them up (a bit like the bucket tool in Paint) and assign different values to each filled up region. Does this make sense to you? Let me know if you would like more detail.
Marta

MATLAB: Using CONVN for moving average on Matrix

I'm looking for a bit of guidance on using CONVN to calculate moving averages in one dimension on a 3d matrix. I'm getting a little caught up on the flipping of the kernel under the hood and am hoping someone might be able to clarify the behaviour for me.
A similar post that still has me a bit confused is here:
CONVN example about flipping
The Problem:
I have daily river and weather flow data for a watershed at different source locations.
So the matrix is as so,
dim 1 (the rows) represent each site
dim 2 (the columns) represent the date
dim 3 (the pages) represent the different type of measurement (river height, flow, rainfall, etc.)
The goal is to try and use CONVN to take a 21 day moving average at each site, for each observation point for each variable.
As I understand it, I should just be able to use a a kernel such as:
ker = ones(1,21) ./ 21.;
mat = randn(150,365*10,4);
avgmat = convn(mat,ker,'valid');
I tried playing around and created another kernel which should also work (I think) and set ker2 as:
ker2 = [zeros(1,21); ker; zeros(1,21)];
avgmat2 = convn(mat,ker2,'valid');
The question:
The results don't quite match and I'm wondering if I have the dimensions incorrect here for the kernel. Any guidance is greatly appreciated.
Judging from the context of your question, you have a 3D matrix and you want to find the moving average of each row independently over all 3D slices. The code above should work (the first case). However, the valid flag returns a matrix whose size is valid in terms of the boundaries of the convolution. Take a look at the first point of the post that you linked to for more details.
Specifically, the first 21 entries for each row will be missing due to the valid flag. It's only when you get to the 22nd entry of each row does the convolution kernel become completely contained inside a row of the matrix and it's from that point where you get valid results (no pun intended). If you'd like to see these entries at the boundaries, then you'll need to use the 'same' flag if you want to maintain the same size matrix as the input or the 'full' flag (which is default) which gives you the size of the output starting from the most extreme outer edges, but bear in mind that the moving average will be done with a bunch of zeroes and so the first 21 entries wouldn't be what you expect anyway.
However, if I'm interpreting what you are asking, then the valid flag is what you want, but bear in mind that you will have 21 entries missing to accommodate for the edge cases. All in all, your code should work, but be careful on how you interpret the results.
BTW, you have a symmetric kernel, and so flipping should have no effect on the convolution output. What you have specified is a standard moving averaging kernel, and so convolution should work in finding the moving average as you expect.
Good luck!

Graph/tree representation and recursion

I'm currently writing an optimization algorithm in MATLAB, at which I completely suck, therefore I could really use your help. I'm really struggling to find a good way of representing a graph (or well more like a tree with several roots) which would look more or less like this:
alt text http://img100.imageshack.us/img100/3232/graphe.png
Basically 11/12/13 are our roots (stage 0), 2x is stage1, 3x stage2 and 4x stage3. As you can see nodes from stageX are only connected to several nodes from stage(X+1) (so they don't have to be connected to all of them).
Important: each node has to hold several values (at least 3-4), one will be it's number and at least two other variables (which will be used to optimize the decisions).
I do have a simple representation using matrices but it's really hard to maintain, so I was wondering is there a good way to do it?
Second question: when I'm done with that representation I need to calculate how good each route (from roots to the end) is (like let's say I need to compare is 11-21-31-41 the best or is 11-21-31-42 better) to do that I will be using the variables that each node holds. But the values will have to be calculated recursively, let's say we start at 11 but to calcultate how good 11-21-31-41 is we first need to go to 41, do some calculations, go to 31, do some calculations, go to 21 do some calculations and then we can calculate 11 using all the previous calculations. Same with 11-21-31-42 (we start with 42 then 31->21->11). I need to check all the possible routes that way. And here's the question, how to do it? Maybe a BFS/DFS? But I'm not quite sure how to store all the results.
Those are some lengthy questions, but I hope I'm not asking you for doing my homework (as I got all the algorithms, it's just that I'm not really good at matlab and my teacher wouldn't let me to do it in java).
Granted, it may not be the most efficient solution, but if you have access to Matlab 2008+, you can define a node class to represent your graph.
The Matlab documentation has a nice example on linked lists, which you can use as a template.
Basically, a node would have a property 'linksTo', which points to the index of the node it links to, and a method to calculate the cost of each of the links (possibly with some additional property that describe each link). Then, all you need is a function that moves down each link, and brings the cost(s) with it when it moves back up.

How would you identify a user's most active sections?

On a website, everything is tagged with keywords assigned by the staff (it's not a community driven site, due to its nature). I am able to determine which tags a user is most active in (or, what tags they view the most). However, I'm not sure how to choose the list. A few options present themselves, but they don't seem right to me.
Take the top n (or m < n if they have fewer than n viewed tags) tags
Take the top n tags where n is a percentage of the total tags viewed
Take the top n tags with m views where n and m are percentages of total tags viewed and total page views
Take all of the tags, regardless of views
The goal is to identify what is most interesting to the user and show them other things that they might be interested in, with respect to the tags that are assigned to the content.
You could look at machine learning algorithms to find algorithms with which to evaluate the effectiveness of your choice.
Like for instance: http://en.wikipedia.org/wiki/Supervised_learning#Approaches_and_algorithms Stuff like nearest neighbour and bayes could help you improve your suggestions.
This is however overkill for just suggesting "Would you like to look at this too?", but it's an interesting approach to providing better tie-ins. It would, however require some method to figure out whether or not your users value your suggestions (e.g. "I like this!"-links or log-analysis based on time spent on links, etc.)
A simple solution is to try several reports and check which report is more informative. The nature of your site and your data may mean that some reports are unexpectedly useful and some are not. If a report get a 'flat' area chart for example - look for something else.
Even better give the consumers of the reports a choice and an ability to provide feedback. Tune the reports based on what they will be really looking for.
P.S. I would go fro the "Take the top n tags with m views where n and m are percentages of total tags viewed and total page views" report first