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

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5
votes
1answer
610 views

Computing the distance between two curves obtained from image data?

I've got some image data that I've binarized. The image contains two curves, from which I'd like to compute the distance between (eventually computing an average radius for each point in the ...
7
votes
2answers
261 views

Threading behavior of SameQ vs Equals

I ran into a bug in my code today based on an errant assumption. Namely, I thought that: ...
2
votes
1answer
486 views

Adding rules to permutations

How can I calculate only those permutations of Range[n], that satisfy certain rules? I don't want to filter the result after calculating all the permutations but ...
2
votes
1answer
189 views

List-operations only when restrictions are fulfilled (Part 2)

Consider the following: data={{{3544128000, 80}, {3544732800, 80}, {3545337600, 80}, {3545942400, 80}, {3545942400, 160}, {3546547200, 160}, {3547152000, 0}}}; ...
12
votes
7answers
628 views
2
votes
2answers
131 views

A question about transforming one List into two Lists with additional requirements

Background: I create geometric patterns by applying many linear transformations on geometries, I need functions to weed out the exponentially increasing number of ( unnecessary ) points involved which ...
9
votes
3answers
279 views

Splitting a list in which figures vary from negative to positive

Consider the following list: data={4078, 256, -1266, -388, 1290, 1368, 1446, 1524, 2}; I would like to split any kind of such list always, when figures turn form ...
15
votes
5answers
944 views

Picking random items out of a list only once

I'm trying to create a function that randomly returns a value from a list but remembers the values that have been given before. At the end when the list is empty it should return an empty list. ...
7
votes
3answers
663 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: ...
12
votes
7answers
741 views

How to Map a subset of list elements to a function?

How would you, given a list {1, 2, 3, 4}, apply a function f to 1 and ...
12
votes
2answers
513 views

Are there advantages to using generalized Part extraction instead of specialized functions like First, Last?

There are many ways to extract different parts of lists in Mathematica. For example, the first part of a list v can be accessed either as ...
10
votes
8answers
2k views

Map and Apply a function on a nested list

I have a list like this: {{1,2}, {4,2}, {6,4} ... } I want to replace every second number with a function of that number. For e.g. ...
3
votes
3answers
288 views

Combining heads of lists so that you can create a nested list from two sublists

I have a list such as list = {1,4,3,4,6,3,1,2,3,4 ... } and a range, say, range = Range[20000]. I want to obtain the following ...
13
votes
5answers
786 views

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : ...
4
votes
1answer
236 views
7
votes
3answers
564 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 ...
33
votes
6answers
2k views

How to visualize/edit a big matrix as a table?

Is it possible to visualize/edit a big matrix as a table ? I often end up exporting/copying big tables to Excel for seeing them, but I would prefer to stay in Mathematica and have a similar view as in ...
30
votes
7answers
2k views

How to apply or map a list of functions to a list of data?

Say I have a group of functions: f1[a_] := a * -1; f2[a_] := a * 100; f3[a_] := a / 10.0; and some data in a list: ...
8
votes
2answers
453 views

Handling vector comparisons in “Piecewise” function

Is it possible for the Piecewise function to process a vector comparison? For example, my input vector is x={0,1,2,3,4} I would like to define a function that ...
2
votes
1answer
162 views

Issues with a Counter that is tallying term appearances

I am working with an array of textfiles, trying to see how frequent certain terms are. However, I am running into some difficulty with my running counts of bigram frequency. Here is a snippet of my ...
28
votes
2answers
1k views

Transpose uneven lists

Is there a quick method to transpose uneven lists without conditionals? With: Drop[Table[q, {10}], #] & /@ Range[10] Thus the first list would have the ...
10
votes
1answer
621 views

Modifying a List in a function in place [duplicate]

An example will be most specific: func[list_, column_] := list[[All, column]] = Map[#*2 &, list[[All, column]]]; This throws errors. I want to avoid doing ...
28
votes
9answers
690 views

Sequentially numbering a nested list

I've got a nested list {a, b, {c, d}, e, {f, {g, h}}} which I want to magically transmogrify to ...
4
votes
2answers
303 views

Why can't NumberQ be used as the head of a pattern?

Consider the following: list={1/First[{}], 1, 2, 1/First[{}], 3}; DeleteCases[list,_NumberQ] I wanted to remove all cases, which did not match ...
10
votes
3answers
331 views

How to “ignore” an element of Map or MapIndexed

Say I have some function that I'm applying every element in a list to... if that element matches some criteria: ...
12
votes
2answers
363 views

Conditional Gathering of lists

Just need a little help with the GatherBy / SplitBy function(s). I have a list of random numbers here: ...
17
votes
4answers
314 views

Setting parts of a list

Suppose I have list a = Range[10] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} in which I want to set some elements to be a list ...
2
votes
2answers
306 views

MapThread on a nested Map

A simple problem I am facing is here: ...
4
votes
1answer
319 views

Path queries for tree-structured data

Can anyone suggest documentation or tutorials for developing path queries and indices for (XML-like) tree-structured data? Suppose data is organized hierarchically in key->value pairs, eg: ...
-1
votes
1answer
400 views

variable sized lists and using lists as variables

I am trying to scan a parameter space of varying numbers of parameters subject to some constraints (I am interested in any number of constraints just out of curiosity, but in reality no more than 2 ...
4
votes
1answer
598 views

How do I treat elements in a list as variables inside a module?

I want to be able to assign values to a list element inside a module. For example if I have: ...
11
votes
5answers
309 views

Make a ragged list rectangular by trimming instead of padding

I have a ragged list ragged = {{a,b,c,d,e},{x,y,z}} that I would like to trim (on the right) to be rectangular. The desired result is ...
12
votes
2answers
1k views

Simple algorithm to find cycles in edge list

I have the edge list of an undirected graph which consists of disjoint "cycles" only. Example: {{1, 2}, {2, 3}, {3, 4}, {4, 1}, {5, 6}, {6, 7}, {7, 5}} Each ...
13
votes
7answers
822 views

Equating matrices (or higher order tensors) element-wise

Say I have two matrices (or, as in my case, higher order tensors) $A,B$, and I want to solve the equation $A=B$. To do so , I need a list of equations that equate entry-wise the elements of $A$ and ...
9
votes
6answers
2k views

extract values from replacement list

Solve returns a list of replacement rules In: Solve[x + y == 3 && x - y == 6, {x, y}] Out: {{x -> 9/2, y -> -(3/2)}} I am only interested in the ...
14
votes
4answers
922 views

Constructing a list that includes a leading zero (01,02,03 … 55, 56, etc.)

I am constructing a list for use in file operations. Say I want to create list which contains values from 01 to 87. The kicker is that the first nine integers need ...
15
votes
7answers
7k views

Mathematica: finding min/max in list

I have a list of coordinates like this one: {{x1,y1},{x2,y2},{x3,y3},...,{xn,yn}} I need to get the minimum and the maximum of all x-values and the minimum and ...
6
votes
2answers
206 views

Operate on several lists to create one list

How do you put corresponding values from different lists together according to some operation? E.g. I have three lists giving the velocity in the x, y and z direction respectively. I'd like create ...
21
votes
2answers
2k views

Extracting values from nested rules in JSON data

I have been using Mathematica to analyse some data from the StackExchange API. It is conveniently available in JSON form, which Mathematica interprets as replacement rules. However, some of the rules ...
17
votes
5answers
1k views

From a list to a list of rules

Starting from these two lists, var = {a, b, c} values = {{1, 2, 3}, {4, 5, 6}, {7, 8 , 9}} how can I generate a list of rules? ...
73
votes
7answers
20k views

Elegant operations on matrix rows and columns

Question The Mathematica tutorial has a section 'Basic Matrix Operations', describing operations like transpose, inverse and determinant. These operations all work on entire matrices. I am missing a ...
22
votes
5answers
1k views

Partition a set into subsets of size $k$

Given a set $\{a_1,a_2,\dots,a_{lk}\}$ and a positive integer $l$, how can I find all the partitions which includes subsets of size $l$ in Mathematica? For instance, given ...
18
votes
1answer
792 views

How can the {x,y,z} points that fall on the outer boundary of a set of values be selected and smoothly surfaced?

For a given set of x,y,z values, that may, or may not form a uniform shape, how can the center of the data cloud be found, and the surface points be located and a solid smooth surface created from ...
2
votes
2answers
3k views

Creating Lists From Loops

Consider the following: lists = Import["G:/Notebooks/Lists.csv"]; col7 = lists [[All, 7]]; For[i=0,i<101,i++,Print[Count[col7,i]]] This will get a 100 cells ...
9
votes
5answers
279 views

Fill out blanks with a upcoming number in a list?

I have a bunch of arrays looking like this: {"", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", ...
3
votes
1answer
289 views

n-fold symbolic integral in Mathematica

I am trying to compute symbolically a n-fold integral (n is a parameter of a function) over, say, the cube [0,a]^n. My code looks like this ...
4
votes
1answer
208 views

What's the most intelligent way to store the information of a selfmade graph?

I have a very long list of element, say $a1,a2, a3$,..., and they are all connected in that each is the child of many parents. E.g. $a74$ is associated with $a2,a55,a71$, and also contains ...
4
votes
1answer
341 views

Defining a string based sort function

I'm having a bit of trouble figuring out the right Sort syntax to use on a list of lists. Consider the following list: ...
42
votes
6answers
3k views

Does Mathematica have advanced indexing?

I have two $M \times K$ arrays $L, T$ where I would like to set all the elements in $L$ to zero whenever the corresponding element of $T$ is greater than 15. The ...