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

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5
votes
4answers
974 views

Select a repeated element in a list

I want to select all elements that repeat 4 times in the list. I propose this code ...
3
votes
4answers
1k views

List manipulation: position & max value combination

Starting with {{0, 0, 0}, {1, 1, 2}, {2, 3, 3}, {3, 4, 5}} I would like to get {{0, 2, 3, 5}, {1, 3, 2, 3}} where the ...
1
vote
1answer
265 views

MapThread multiple functions onto multiple lists

I'm trying to learn the functional style which seems to prevail in Mathematica. I'm having trouble accomplishing the following: Let's say I have multiple lists of arbitrary data (using two lists ...
5
votes
5answers
418 views

Counting 'False' values at the ends of a list

I have table like this: t = {False, False, False, 4.5, 6.789, 1.23, 0.98, False, False} and I want to know how many False values I have at the beginning and at ...
2
votes
1answer
159 views

Using DeleteCases with multiple AstronomicalData properties

I am attempting to use AstronomicalData and DeleteCases together to remove invalid cases of two properties while listing the ...
1
vote
2answers
127 views

Computing lists using AstronomicalData

Edit: Initially in my question I asked how I could search the database of AstronomicalData["Exoplanets"] and return 2 filtered values that only contained valued ...
0
votes
2answers
168 views

Associate the elements of a table

I have a table form as: table = {{a, 6}, {b, ff}, {c, 2}} I want to associate the first element of each pair from the table to the second element of the pair as ...
0
votes
0answers
28 views

Threading a single abscissa through a list of ordinates [duplicate]

Suppose that I have the following list, called list. list contains elements X, ...
0
votes
2answers
75 views

How can I make my output to be added to an existing list?

v = {{0, 0, 0}, {1, 0, 0}, {1, 0, 1}, {0, 1, 1}, {1, 1, 1}} For[i = 1, i < 6, i++, For[e = 1, e < 6, e++ 1, Print[Mod[v[[i]] + v[[e]], 2]] ]] I ...
1
vote
1answer
108 views

Testing a List inside of an Table if it is != 0 [duplicate]

I'm new to mathematica so I hope this is not a too stupid question, but I couldn't find a solution in the mathematica documentation. I've got a normal table, initialized with "0" as entries. In the ...
3
votes
2answers
609 views

How to plot several functions without jumping? (multiple eigenvalues of a system as functions of 2 parameters)

I've been working on this research problem for months with some success by no global/proper solution to the problem. So I have square, Hermitian matrices of various sizes ($8,20,38$ dimensions) with ...
3
votes
2answers
273 views

Finding positions of multiple elements in lists

I realise that Position[{2, 4, 8, 16, 32, 64}, 4] will return {{2}} I would like to do something like this: ...
1
vote
1answer
97 views

How to convert each pair of { and } into ( and )? [duplicate]

I am a learn-by-example person. I have no idea to change every { and } to ( and ...
1
vote
1answer
456 views

How to convert the following list into a LaTeX table?

How to convert the output of the following code In[43]:= Func[x_]:=Select[Range[x],Total[IntegerDigits[#]^3]==#&]; Func[1000] which is Out[44]= ...
10
votes
10answers
730 views

Finding neighbors from list

Say you are given the following list: list={{3, 2, 1}, {3, 4, 2}, {2, 4, 1}, {1, 4, 3}}; Two numbers $x,y$, not necessarily distinct, are neighbors if one of the ...
10
votes
3answers
459 views

Zero-dimensional matrices

In a recent Mathematica project, $(n \times 0)$- and $(0 \times n)$-dimensional matrices have suddenly become a frustratingly common edge case for me. For instance, consider the following two ...
10
votes
3answers
247 views

Can I return lists with different dimensions from a compiled function?

Sometimes I'll need several lists with different dimensions to be returned by a compiled function, but compiled function will fail if an irregular list contained: ...
4
votes
4answers
335 views

Deleting powers of a common prime except the highest one from a list with further only primes

In a list with factors of which most are prime, some are integer powers of some common prime as base. All the powers from 1 to ...
0
votes
2answers
267 views

Replace all elements of a list

I have a set that looks like: s = {{1, 2, 3} -> 9, {4, 1, 9} -> 9, {3, 7, 3} -> 1}; Now, I want to replace each element of the set by the lhs of "...
5
votes
1answer
186 views

MapThread over large graph

I am trying to build a very large graph with approximately $16\,000\,000$ edges, each being a two-dimensional integer vector. I have a list of edges in the form $\{\{e_{11}, e_{12}\}, \{e_{21}, ...
1
vote
2answers
245 views

Deleting parts from a nested list

I have a very long nested list. Here is a short example: list = {{1.2, {1, 1, 1, 1}, {2, 2, 2}}, {0.9, {3, 3, 3, 3}, {4, 4, 4}}, {1.4, {4, 4, 4, 4}, {5, 5, 5}}} ...
13
votes
6answers
655 views

Elegantly split a matrix into positive and negative parts?

I have a matrix $M$ of real components, and I want to split it into two matrices $M^+$ and $M^-$ of the same dimensions as $M$, where $M^+$ contains the positive components of $M$ (the remaining ...
2
votes
1answer
776 views

Calculate mean square displacements for different particles from a excel file

I have the particle movement data in the following format: ...
2
votes
3answers
150 views

How to do subtraction with sets in which the elements have multiplicity indicators? [duplicate]

I want to do subtraction with sets l1 and l2, which contain multiplicity indicators. For example, ...
6
votes
3answers
258 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 & ...
1
vote
1answer
170 views

How should I go about writing more functional and list based code? [duplicate]

I've heard that Mathematica is usually faster when the code is list-based and/or uses a functional paradigm. I'm still working on getting the hang of this; there are a lot of ...
2
votes
2answers
131 views

Deleting elements on a list by the first element of another list

I was trying to make this L1 = {{2, 1}, {6, 4}, {8, 7}, {9, 5}}; L2 = {{2, 9}, {9, 6}}; L = Union[L2 , L1] And I used this: ...
6
votes
3answers
393 views

Mapping a function that assigns values to a list over a different list

I'm trying to get used to Mathematica's approach to programming and list manipulation, and am struggling with one thing. Say that I have a function f which takes a ...
0
votes
2answers
115 views

Code for sum of exponential divisors function

Consider $n = p_{1}^{a_1}\cdots p_{r}^{a_{r}}$. An integer $d = p_{i}^{b_{i}} \cdots p_{r}^{b^{r}}$ is called an exponential divisor of $n$ if $b_{i}$ divides $a_{i}$ for every $1\leq i \leq r.$ I am ...
1
vote
1answer
118 views

How to apply compiled function on list

Compile function output error: How to apply compiled function on list? ...
2
votes
1answer
87 views

Convert Integer to Numeric with Replacement rules

I have a long list of triples, each looking something like {AGO, 1988, 2345.23}. Some of these, however, have an integer in the third spot, like this: ...
1
vote
0answers
237 views

Using Part within a Compiled Command

I'm looking to define a multi-line function that makes use of the "Part" command. A toy example: ...
2
votes
0answers
71 views

Produce {f[x],g[y],h[z]} in as many ways as possible [duplicate]

I have two lists of equal lengths but for my task I will use 3-element lists , namely {x,y,z} and {f,g,h}. The first contains ...
1
vote
2answers
174 views

Add a column to a matrix as a function of the other columns

I was wondering if its possible to add a column to a matrix by a formula that uses all other columns, like this: ...
0
votes
3answers
1k views

Find the number of nonzero elements

How do you find the number of elements in a matrix that are non-zero. For instance, the following matrix has 5 nonzero elements. ...
0
votes
1answer
231 views

Performing matrix multiplications with a list

I have a question in regards to PseudoInverse. I have $A$, an $n\times 2$ matrix, and when I want to compute $(A^T A)^{-1}A$, by using ...
6
votes
2answers
125 views

Get brief help for a set of functions

When we are in console mode or working with a notebook we can get brief help about a function just by shift-entering ?function I would like to have a list like ...
4
votes
2answers
4k views

How to combine two vectors into a matrix by columns?

I know it may sounds idiot, but I've been looking through the document, and couldn't find a way to combine two vectors say {a, b} and ...
3
votes
3answers
404 views

efficient way to give nearest neighbour and next nearest neighbour of every point in a point set

Suppose we have a point set, the points are labeled 1,2,3,....n. And p[i] is the coordinate of the point. Now I want the label of nearest and next nearest point ...
0
votes
0answers
43 views

Store results of inequality [duplicate]

I eveluated some values using Reduce commend and I store them in a Table ...
8
votes
7answers
813 views

How to partition a list in a specific way

I have a list: a = {{1, 2, 3, 4, 1, 2, 3, 4}, {5, 6, 7, 8, 5, 6, 7, 8}}; Using Partition and ...
18
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 ...
4
votes
1answer
202 views

Efficient ways to rotate a ListPlot?

I have a numerical solution from a differential equation that is in the form of a list, in $(x,z)$-plane. I would like to rotate the 2D ListPlot around the $z$-axis ...
11
votes
10answers
545 views

How to pick increasing numbers from the list

How to pick increasing numbers from the list. lst = {5, 3, 6, 2, 7, 4, 8}; out: {5,6,7,8} So many interesting ...
5
votes
6answers
304 views

Convert array from {{…}} to “[[…]]”

I have made this function: conv01 = Map["["<>StringJoin@@Riffle[#,","]<>"]"&,Map[ToString,#,{2}],{0,1}]& to convert: ...
0
votes
1answer
112 views

How to create 2k sized vector in k sized loop

I want to solve a system of simple differential equations. At some point I need to solve non-linear system of algebraic equations with Newton method. I would like to efficiently create a right hand ...
6
votes
2answers
205 views

how recover lost data of coordinates from contourplot of mention data?

I have made Contour Plot for a lot of data, like this ...
1
vote
2answers
115 views

How to return matching sublists or empty list

How to return matching sublists or empty list m1 = {{1, 0.5}, {2, 0.4}, {3, 0.1}}; m2 = {{1, 0.5}, {0, 0.4}, {0, 0.1}}; Commonest[Join[m1, m2]] out: ...
2
votes
2answers
174 views

Organise data in table

I have a large amount of data available (in excel), which is not very organised. I can do this by copy paste, but I am trying to do this using mathematica. Hopefully someone can help me. I imported ...
-2
votes
1answer
85 views

Using Product for different variables

when using product in mathematica the initial and maximum value of the product will be the variable itself that will be maupulated. what I need is to make these initial and maximum of the product as ...