Questions on the manipulation of List objects in Mathematica, and the functions used for these manipulations.

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7
votes
4answers
216 views

Button's command is not evaluated in iteration

I wish I didn't feel like a newbie after several months, but... If I enter the following: Table[ Button[ "Number: " <> ToString @ i, Print @ i], {i, 1, 5}] ...
7
votes
3answers
462 views

how to efficiently apply function to all pairs of a set (and collect the results)

To build a graph, I need to apply a function f[a_, b_] to all pairs of a list (3500 elements). The function itself returns a link ...
7
votes
4answers
267 views

Evaluating a function using arguments from a sliding window over a list [duplicate]

Possible Duplicate: How to Map a subset of list elements to a function? I want to evaluate a function using arguments from a sliding window over a list. As an example, lets use ...
7
votes
4answers
293 views

Unexpected behavior from GatherBy in version 7

I have come across what appears to be a bug in GatherBy. It appears similar to the problem of using Table[Random[], {1000}] in ...
7
votes
3answers
403 views

What is the correct way to conditionally add elements to lists? [duplicate]

Possible Duplicate: How to avoid returning a Null if there is no “else” condition in an If contruct I have several situations where I need to conditionally add an element to a list, at ...
7
votes
4answers
154 views

Is there a good way to map a function over a list to lists exclusively of a certain depth?

Let's say I have some ragged list. If some elements have some depth $n$, then is there a way I can map a function to only those elements? I.e., for some list foo, ...
7
votes
3answers
444 views

How to create a list of pre-defined functions?

I would like to create a list of Cauchy distribution pdf's, having different locations of their maxima, and being multiplied by different factors; then I'd like to calculate those functions' values ...
7
votes
4answers
192 views

Generating all matrices with 1 (possibly) replaced by -1

I have a matrix $M$, whose dimension I am unsure of, which has only $\lbrace0,1\rbrace$ entries. I would like to generate all the possible matrices that result from changing (some subset) of the $1$'s ...
7
votes
2answers
324 views

find subsequences of constant increase

A list like l = {0, 1, 2, 3, 4, 5, 7, 9, 12, 13, 18, 19} may have subsequences of constant increase, $a_{n+1} = a_n + k$. For example: ...
7
votes
3answers
485 views

Specifying string patterns in DeleteCases

It seems that DeleteCases is not compatible with string patterns, at least directly (see, for example, this question). Is this true? If so, why is this the case? ...
7
votes
3answers
488 views

Add lists with unequal lengths together to create a matrix

I'm trying to create a stacked bar chart using raw data coming from a MySQL server. The result coming back from one query is: ...
7
votes
5answers
316 views

LengthWhile until first duplication

I have the need to trim each of a large number of potentially very long lists (10^6+ elements) to the length where the last occurrence of any distinct element happens, or said another way, where the ...
7
votes
6answers
229 views

Faster list duplicate 'limiter'

Given some list, e.g., {5, 3, 2, 3, 1, 0, 1, 3, 5, 5, 4, 5, 1, 2, 5, 2, 2, 0, 1, 4}, I need to limit the duplicates, if any, to an arbitrarily chosen number. The ...
7
votes
3answers
254 views

When does a list contain only ones?

I am starting with a list of length n that contains all -1's. For instance, when n = 6 the list is {-1, -1, -1, -1, -1, -1}. I ...
7
votes
2answers
241 views

Programatically adding/retaining comments within a nested list

Is it possible to convert the following list of strings to computable numbers with the comments preserved? ...
7
votes
2answers
228 views

Intersection for lists of numeric data

I know that Intersection is a pattern matching function and will not evaluate list elements to determine if two or more list have equal elements. So my question is, ...
7
votes
3answers
155 views

Given a list of lists, build a list in which lists with equal first and last elements are grouped together

I have a list of lists, and I'd like to build a new list, in which lists are in the same list if they have the same first and last element. Here's an example. Suppose I have ...
7
votes
2answers
344 views

Finding all points of period n in an iterated map

I'm trying to implement an algorithm of Jenkinson and Pollicott to calculate the Hausdorff dimension of a Julia set for the map $f_c : z\mapsto z^2 + c$. It's described on page 40 of their paper, ...
7
votes
2answers
1k views

Finding all partitions of a set

I'm looking for straightforward way to find all the partitions of a set. IntegerPartitions seems to provide a useful start. But then things get a bit complicated. ...
7
votes
1answer
1k views

Get the coordinates from ContourPlot and RegionPlot

How do I get the coordinates from a contour plot I've done in Mathematica? For example, I have a two-variable function f[x, y], for which I can make a contour plot: ...
7
votes
2answers
216 views

How can I get the list of dates in the next $n$ years

How can I get the list of all dates from today 21.02.2012 (which is a palindrome) up to say next $n$ years? Then finding the other palindromes are not difficult. I could not find an easy way to ...
7
votes
3answers
385 views

Filter list based on date

What I would like to do is remove entries from a list of instrument data when it is in maintenance. The maintenance data I have is a series of dates which look like this; ...
7
votes
2answers
308 views

Building a tree

Given a list of word characters, such as this one, I'd like to build a tree, similar to this makeTree function, but with the tree in a different format. So, for an input such as ...
7
votes
1answer
98 views

Why does Rescale performance vary significantly based on the real number values in a list?

I have a list of the form: testList = Table[{Flatten[RandomReal[{-200, 200}, {1, 2}], 1], RandomReal[{-200, 200}, {69, 2}]}, {i, 1, 100}]; And I would like to ...
7
votes
3answers
363 views

Multiply a list of matrices by a list of vectors

How does one multiply a list of matrices by a list of vectors, elementwise? For example, multiplying ...
7
votes
2answers
2k views

Building matrices by attaching vectors (columns) and matrices

Having the need to attach a column to a matrix or to join matrices to make longer rows is an operation that I use very frequently and I find the Join function ideal ...
7
votes
3answers
389 views

How to Gather a list with some elements considered unique

I have a list of the form: list={{0,...},{1,...},{1,...},{0,...},{3,...},{3,...},{0,...},{0,...},{5,...},{5,...},{5,...},{0,...},{5,...},{0,...},...} So when we ...
7
votes
1answer
258 views

DeleteDuplicates[] does not work as expected on floating point values

Here is my simple example, and in this case function DeleteDuplicates does not work as expected. I want to FindRoot of my ...
7
votes
3answers
302 views

Find all the last weekends in a year

In order to obtain the weekends of a year you'd use something like this: ...
7
votes
3answers
250 views

Restricted accumulation of values

Please consider the following list data. I was trying to accumulate data until the result turns positive the first time and ...
7
votes
1answer
410 views

Very fast way to do a coordinate frame transform

I need a function that rotates and translates a huge amount of line segments. For example, I have a set of line segments in the form {{x0,y0,z0},{x1,y1,z1}} ...
7
votes
1answer
192 views

Built in way to de-list singletons?

Is there a built in method to de-list singleton expressions, like this rule-based solution: expr_ :> If[Length[expr] == 1, First@expr, expr] In data ...
7
votes
3answers
271 views

Making large tables easy to read with frozen headings and scrollbars [duplicate]

I would like to represent a table containing a large amount of information in such a way that I can (a) use scrollbars and (b) have table headings that don't scroll off the screen [just like the Free ...
7
votes
1answer
211 views

Visualize a tree structure using TreeGraph

I have a code that generates a tree of graphics objects. The structure can be visualized like this, with each Rule constituting a parent child relationship: ...
7
votes
0answers
238 views

Using Compile to speed up Function with PermutationProduct

I have the following fairly simple routine dot involving PermutationProduct that I wish to speed up using ...
6
votes
7answers
311 views

Sum of two functions, list processing

I am creating some simple graphs of functions defined by ordered pairs. Students are learning about "operations on functions", in this case, adding functions. If I have two functions defined by ...
6
votes
9answers
482 views

combining and comparing lists

I have 2 lists (of lists), where most of the contained lists match. That is, the lists contained in list1 mostly match the lists contained in list2. In this simplified example each of the inner ...
6
votes
4answers
501 views

Convert head Times to List

I can convert an expression with the head of Times,for example, 12*12.5*13*13.5*14*14.5 to {12, 12.5, 13, 13.5, 14, 14.5} by ...
6
votes
4answers
472 views

How to find all data points within closed curve

I want to find all data points inside curve as given below: ...
6
votes
7answers
1k views

How to select all elements above the main diagonal of matrix?

How to select all elements above the main diagonal of matrix? I need to create a list of them.
6
votes
6answers
226 views

Sort a list of coordinates by frequency from first component of each coordinate

The situation is that I have a List like this: ...
6
votes
5answers
475 views

remove -1 values from a list

I would like to turn a list which looks like this one: {{-1, -1, -1}, {-1, 2, 3}, {-1, -1, 2}, {2, 3, 4}} into one which looks like that one: ...
6
votes
6answers
368 views

How can I merge two lists in a special way?

It's been over a year since I've used Mathematica, and I'm having a total brain fart on a home project. I'd like to take an existing list of lists, say, ...
6
votes
4answers
599 views

How to apply a function to a list of tuples

trialList = {{0, 24.701}, {1, 24.69}, {2, 24.733}}; f[x_] := x + 1; I would like to apply the function f to only the second ...
6
votes
3answers
445 views

Sum over binary digits of integer

This might seem like a simple enough question but Mathematica seems to simplify inadequately here: How would you sum over the digits of an arbitrary binary number? I already tried this: ...
6
votes
3answers
223 views

Loop function over list [duplicate]

I would like to divide element 1 of a list by element 2; element 2 by element 3, and so on. What is the best way of doing this? I have tried f = #1/#2 & ...
6
votes
2answers
284 views

How can I find if the number of subsets for a list is very large?

I'm trying to find the following; Subsets[Range[2, 2300], {4}] but my computer gave the following error: ...
6
votes
5answers
385 views

Computing the equivalence classes of the symmetric transitive closure of a relation

I have a list of pairs, for example: ...
6
votes
4answers
273 views

Inserting points along a linear interval between adjacent coordinates in an array

Say I have a list of coordinates in an array {{0, 0}, {0, 1}, {1, 1}} I'd like to create a new array where, between each pair of nearest-neighbor coordinates in ...
6
votes
2answers
339 views

Map a function over the columns of an M x N array

I have a $N \times M$ list of lists, or rather, a list of records and I want to map a function over its columns (e.g. find the mean temperature, age, etc.). Map ...