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

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8
votes
6answers
288 views

Adding list of list to a list

Hello I need some help on how to add a list to a list of list. The program would have to do as below: {{0,0}, {0}, {0,0,0}}+{1,2,3,4,5,6} will give ...
8
votes
3answers
300 views

How to remove a line of a matrix if not all elements are numeric?

I have a matrix a n columns and m lines. I'd like to efficiently remove the lines that are not entirely composed of numeric ...
8
votes
5answers
221 views

How to do DateDifference on table items containing dates

I have a Table with data in form {{date}, value}: ...
8
votes
4answers
362 views

Fast method to select matrix elements based on a vector of positions

There is an operation for which I have long wanted to find a better solution. Let: a be a matrix of dimensions $m\times n$ ...
8
votes
5answers
276 views

Refer to next element of list when iterating using Map [duplicate]

Is it possible to refer to the next element of the list when I'm using Map or should I always use For in this case? For example ...
8
votes
4answers
147 views

Mark selected sub-lists in the list they were selected from

I've got this simple problem with two lists. I select some items from a list, but I want to visualize the difference between the previous list and the list that I create with ...
8
votes
5answers
311 views

How can I find these patterns' signatures?

I think I can explain it best starting with an example. I have the following lists: ...
8
votes
5answers
885 views

Generating an Ulam spiral

An Ulam Spiral is quite an interesting construction, revealing unexpected features in the distribution of primes. Here is a related topic with one answer by Pinguin Dirk, who has provided one ...
8
votes
3answers
194 views

Preserve information in flattening a nested list

I have a series of lists in the form below: list={ {1,1} , {2,2}, {3,{3,1},{3,2},{31,{31,1},{32,2}}} } Its a nested list which the dimension is changing case to ...
8
votes
3answers
165 views

How can I use the overhang argument to Partition to avoid using PadLeft and PadRight here?

Say I have a list of values v = {v1, v2, v3, ... }. I need to partition these values to perform operations with a sliding window (think ...
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 ...
8
votes
1answer
245 views

How to slice TimeSeries data?

When retrieving curated data, v10 now returns TimeSeries objects. For example, ...
8
votes
2answers
418 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, ...
8
votes
3answers
302 views

Generalization to AllTrue, AnyTrue and NoneTrue

I am wondering if there is a natural Mathematica way to generalize those functions. To be specific, All three functions AllTrue, ...
8
votes
3answers
171 views

Complicated list slicing

Say I have a list with the structure list = {{1, {x1, y1, z1}}, {2, {x2, y2, z2}}, {3, {x3, y3, z3}}, ...} I would like to slice it such that I end up with ...
8
votes
3answers
502 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 ...
8
votes
2answers
2k 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. ...
8
votes
3answers
329 views
8
votes
1answer
169 views

Quickly selecting for points in a set that are within a critical distance of points in another set

Imagine two lists of two-dimensional coordinates: listA = RandomReal[{0,100},{202,2}]; listB = RandomReal[{0,100},{97,2}]; I'm attempting to quickly generate a ...
8
votes
2answers
169 views

Behavior of Inner depends on List dimensions?

Consider the following case: ...
8
votes
2answers
186 views

How to partition a list according to a value in the list

I have a list of the form $\{\{d_1,c_1\},\{d_2,c_2\},\ldots,\{d_n,c_n\}\}$. The values c_i take values between $1,\ldots,k$. I want to partition the data into $k$ lists according to the values $c_i$. ...
8
votes
3answers
346 views

Deleting quasi-duplicates from large list efficiently

I have the need to remove "duplicates" from large (>10K members) lists, where a "duplicate" is either a verbatim duplication, or the element's second entry exists as a first entry for some "earlier" ...
8
votes
1answer
306 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 ...
8
votes
2answers
871 views

Rapidly binning 3D data

I have a set of data (about 20 million datapoints for my real data) of the form {x, y, z, m}. There are 3 spatial coordinates x, ...
8
votes
1answer
80 views

Unexpected slowness checking for empty list?

I thought I had a firm understanding of the differences between Equal and SameQ, but this has me puzzled: ...
8
votes
2answers
370 views

Aligning two lists

I have two lists, L1 and L2, each with a key and some data. Let us say the key is a person's name, a string, and the data follows. (To respond to rasher's query:) Let us also assume the lists are ...
8
votes
1answer
215 views

Transformation rule on a list of non-negative integers

I am trying to create a transformation rule that takes a list of non-negative integer values of any length, finds a non-zero entry in the list, adds 1 to all preceding numbers, subtracts 1 from the ...
8
votes
3answers
894 views

Analytically finding critical values in a hysteresis curve made with ListPlot

Let me start with a super basic explanation of what I'm trying to do, and I will follow with a more detailed discussion afterwards. From data in the form shown below (a ...
8
votes
1answer
321 views

Elementwise, compilable min function

I am trying to implement efficiently a transfer-matrix like algorithm. On each iteration, I have two vectors $x=\{x_1,\dots,x_n\}$, $y=\{y_1,\dots,y_n\}$ with real numbers and I need to compute the ...
8
votes
1answer
143 views

Strange behavior of BinCounts

Bug introduced in 8.0 and fixed in 10.0.0 Just try this example: ...
8
votes
1answer
236 views

Visualizing nested lists for easier human understanding

When interacting with Mathematica, I often find myself staring blankly at waves of curly braces, trying to understand how data is organized hierarchically. For example, the beginning of the result to ...
8
votes
1answer
334 views

How to remove some elements in a list based on a rule?

I want to deal with the following list. mylist = Table[cof[i] exp[i], {i, 1, n}]; (*n is very larege *) exp[ ] is a function ...
8
votes
0answers
194 views

How to merge Datasets representing matrices with named rows/columns?

I am working with square (non-symmetric) matrices with named rows and columns. The data I receive is sometimes messy and rows/columns may come in various permutations. I usually need to ...
8
votes
0answers
276 views

Learning Resources for Data Science in the Wolfram Language

I'm delivering an upcoming course on Data Science with the programming/analysis done predominantly in the Wolfram Language. I created the following table to leverage students' familiarity with Lists ...
7
votes
4answers
536 views

Prepend 0 to sublists

My question is similar to this one, but my goal is to prepend a single 0 the each sublist, not incrementally many 0's. The file I'm working is a CSV containing around 50K sublists of length 35. I've ...
7
votes
6answers
2k views

Simplifying nested If statements

Consider : list = {100,102,103,99,106,107,104,112} I want to consider, extract only the "big moves" of that time series. In this case the moves bigger then 5 ...
7
votes
4answers
640 views

Filter a list generated with Tuples

I generated with Tuples[{{1, 2, 3, 4, 5}, {1, 2, 3, 4, 14}, {1, 2, 3, 4}, {1, 2, 3, 4}, {1, 5, 6, 7, 8}, {5, 6, 7, 8, 10}, {5, 6, 7, 8}, {5, 6, 7, 8}}] ...
7
votes
9answers
448 views

Convert list of lists to cumulative join

I have this: list[1]={1,2,3}; list[2]={7,8,9}; list[3]={15,20,22}; I want this: ...
7
votes
4answers
663 views

How to find all data points within closed curve

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

How to pick an element of a row corresponding to the minimum in a particular column?

How can I find what value in column 1 of my list corresponds to the minimum value in column 2?
7
votes
5answers
698 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: ...
7
votes
5answers
291 views

Making a table with elements like {10i+j, i, j}

Table[10i+j,{i,4},{j,3}] will generate a table that looks like this: {{11,12,13},{21,22,23},{31,32,33},{41,42,43}} I would like ...
7
votes
3answers
168 views

List has a date and amount, I need to create a cumulative amount by date

I have a list which has a date and a amount, I need to create a list that has the cummulative total with the date. I have the following result: ...
7
votes
5answers
361 views

Find positions of duplicates that are neighbours

Assuming the following list {1,2,3,3,5,6,3} I would like to get the position of values that are next to each other and are duplicates. That is, the output should be {3,4}. Thank you for any help. ...
7
votes
6answers
391 views

The locations of (row-wise) minimum elements in a list

I have a list representing a 2D matrix, such as this 3 ⨉ 2 one: {{2.1, 1.01}, {0.01, 7.2}, {7.8, 2.0}} Does anyone know how to find the minimum of each row, ...
7
votes
5answers
477 views

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

I have a list of pairs, for example: ...
7
votes
4answers
571 views

Using MapThread on list of lists

Just a light weight question for learning. If you think this was asked before, please feel free to close it. I am trying to learn MapThread more, and wanted to use ...
7
votes
5answers
356 views

Calculating weird numbers

A weird number is a number such that the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of these divisors sums to to ...
7
votes
3answers
232 views

How to Flatten Array of Arrays of the highest order in a simple way?

I have a matrix of matrices, given in the following code. I want to flatten the array... ...