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

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7
votes
2answers
1k views

Dramatic speed difference of code on Matlab and Mathematica

Background: I was trying to convert a Matlab code (fluid simulation, SPH method) into a Mathematica one, but the speed difference is huge. Matlab code: ...
7
votes
9answers
1k 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 ...
7
votes
1answer
383 views

Efficiently searching a list for the position of the closest number to a specified number

Searching by closest and position I wasn't able to find an answer—but found Nearest by guessing. Nearest, however, returns ...
7
votes
3answers
669 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
1answer
238 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
2answers
476 views
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 ...
6
votes
1answer
84 views

Problem Using Evaluated Replace with Associations

If I define some function like: toISOdate[data_List]:=DateString[data,{"Year","-","Month","-","Day"}] and try to applicate it in an ...
6
votes
1answer
949 views

Splitting a list using SplitBy, by comparing adjacent elements [duplicate]

Suppose that I have the following list called mylist: mylist = {80.2, 80.3, 80.4, 327.6, 327.7, 327.8}; I would like to split ...
5
votes
3answers
222 views

Non-descending Tuples

I want to get all the non-descending tuples of a list with given length, for example: f[{1,2,3,4},{3}] ...
5
votes
1answer
160 views

question about Inner [duplicate]

question1: (code 1 something wrong, Why? and how to overcome this to achieve the next code's effect) ...
5
votes
6answers
464 views

How to change specific values in a List [duplicate]

In a list lst I want to change all values > 255 to 255. Why is this code not working? ...
4
votes
3answers
386 views

Extracting Pareto elements from a list

How can I extract the Pareto elements from a list? For example, for that list: ...
3
votes
3answers
264 views

List manipulation: Dropping first or last row or column of a matrix

How do I drop the first/last row or first/last column from a matrix? The general case is answered here but I am new to Mathematica and it the arbitrary case is unnecessarily complex. Suppose I am ...
3
votes
2answers
284 views

Permuting elements within a list

I have s = {2, 3, 5, 7, 1, 4, 6} (* always with diffente elements in {1,2....7}*) l = Length[s] n = 3 and n tells us that we ...
3
votes
1answer
330 views

Including two ListLinePlots in a 3D graphic

I have two lists of data which I am plotting on two ListLinePlots. I would like to have these two plots appear perpendicular to each other on a 3D graphic. I have ...
3
votes
3answers
3k views

How to change step size of ListPlot

The command ListPlot will plot lists with a unit step. Is there any way to change the step size of this?
2
votes
2answers
178 views

adding vectors of unequal length [duplicate]

If I have hundreds of vectors of unequal length that I need to sum, what is the cleanest way to do so? So, if I have as input inp={{a,b,c,d},{e,f,g},{h}} I want ...
2
votes
4answers
332 views

Add Brackets to a string list

Hello stackexchange community! I have a stringlist with a value and his error for eg: {{"12","1"},{"13","2"}} Now i want to output this as something like this ...
2
votes
2answers
538 views

How can I build a GraphicsGrid of arbitrary size?

This is actually a very simple scenario, in order to make simpler this question Part I. Consider the following piece of Mathematica code ...
2
votes
4answers
3k views

How can I create a list of functions?

Can anyone tell me, how to create a list of functions? I've tried the following code, but it doesn't work. ...
1
vote
2answers
180 views

How to generate a range of numbers

Is there a quick and dirty way to generate a list of numbers from 1 to some arbitrary large number in order such that the digits of each number are only 0's, 1's, and 2's? I tried doing ...
1
vote
2answers
523 views

Research positions of lists of varying size

I'm new to the site and I am French, so I ask your indulgence for my future mistakes in English. I would like to optimise the following code : ...
1
vote
1answer
998 views

Collecting lists using Reap/Sow

I have a list like {{a,x},{b,y},{c,x},{d,z},{e,y}} and would like to produce from it a list formed by collecting all top-level elements whose second components are ...
1
vote
4answers
6k views

Creating a data1 versus data2 plot?

I have a table of data with multiple rows and columns, and I have to make a versus data table using two of these columns. Essentially, I have to set one column of data (column 3) as the y-axis and ...
0
votes
1answer
318 views

How can I build a GraphicsGrid of fixed size that rearranges the empty plots?

OK, let's make one final attempt; they say the third time is the lucky one! Following @rm-rf 's suggestions, I will try to be as clear as I can. My Mathematica code reads and plots simultaneously ...
19
votes
9answers
1k views

How to replace an element in a list based on the value of the next element?

I use Mathematica a little bit. I try to understand it, but it is hard I have a list of 5 numbers selected randomly from 0 and -1. I have to replace a 0 with a 1 when the 0 is followed by -1. My ...
14
votes
4answers
395 views

A replacement problem

list = {1, x, 3, x, 4, x, x, 3, 4, 3, x, 2, 3, x, 8, 7}; If there is exactly one integer between two x I want to replace it with y: ...
12
votes
5answers
722 views

Is there a way to riffle more than two lists?

I thought Riffle would generalize such that Riffle[{a,b,c},{1,2,3},{x,y,z}] would return ...
9
votes
4answers
524 views

Partitioning a list by recursion (Programming Paradigms via Mathematica (A First Course))

I am working through the course Programming Paradigms via Mathematica. One of the homework exercises for the section Recursion I: Passing the Buck is as follows: Use recursion to partition a ...
9
votes
8answers
730 views

Adding elements to a collection of lists

I would like to add element a at the start of a series of lists. For example I have a collection of lists called ...
9
votes
3answers
307 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 ...
8
votes
3answers
210 views

Select and Blank

I try to filter sublists of a list which match a pattern. test = {{"String1", "a"}, {"String2", "b"}, {"String3", "a"}, {"String4", "a"}}; The result should ...
8
votes
5answers
314 views

How can I find these patterns' signatures?

I think I can explain it best starting with an example. I have the following lists: ...
7
votes
5answers
295 views

Counting subsequences (i.e., patterns) within a list?

I would like to count the number of subsequences in list. Say I have data given by: data = {1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1}; I would like to count the number ...
7
votes
2answers
269 views

Is there a function which instantly tells you whether an element is part of a list?

I have a very long list of numbers and I want to check whether there's a function (something that would look like PartOfQ[element,list]) that tells you immediately ...
7
votes
3answers
586 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 ...
6
votes
2answers
249 views

What is the idiomatic way to shift and extend a list by a number of elements?

I have a lists, list, and want shift it right by a given number of elements, m, extending the list by repeating the last ...
6
votes
3answers
321 views

Accumulate second elements in sublist

I want to accumulate the second elements in each sublist identified by its first element. ...
6
votes
3answers
212 views

Using PatternTest and/or Condition to detect equal list lengths as well as list element formats

On searching Mathematica.SE for information about overloading functions, I came across several threads about PatternTest and ...
6
votes
1answer
1k views

All possible topological orderings of a graph

TopologicalSort[] returns one of many unique orderings. From wikipedia: if a topological sort does not form a Hamiltonian path, the DAG will have two or ...
6
votes
8answers
1k views

Finding the midpoints of an ordered list of numbers

Suppose that I have an ordered list of numbers. The numbers in the list may be evenly spaced, but they may not be. Here are two examples, list1 and ...
6
votes
2answers
198 views

Can Tuples help simplify this?

I have a list {1, 2, 3, 4} and wish to form {{{1,2},{3,4}}, {{1,3},{2,4}}, {{1,4},{2,3}}} I ended up doing it manually ...
6
votes
1answer
313 views

How to compile Map and MapAt

I have a long list (say, million of elements, like this one: {{{1.0, 2.0}, 3}, {{4.0, 5.0}, 6},...} I would like to compile a function ...
6
votes
2answers
215 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 ...
5
votes
3answers
356 views

A simple list question

If I have list1={x^a, x^b, x^c} and list2={1,2,3}, how do I substitute one into the other to get ...
5
votes
6answers
311 views

Indexed Map Thread

I'm attempting to MapThread a function of two lists that requires the index of the list values. For example, MapThread[#1*i+#2*j&,{{a,b,c},{e,f,g}}] Where #1 ...
5
votes
4answers
221 views

Sort two lists at the same time, based on another

I am new to using Mathematica and I can not find a solution to what I am wanting to do. I want to take a list such as: x = {1,2,3,4,5,6,7,8} and a second list ...
5
votes
2answers
224 views

How to define even permutations correctly?

I define even permutations as following, but there may be some error. I use it in two different way and get different output. ...
5
votes
4answers
315 views