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

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0
votes
2answers
75 views

Constructing a table from a constraint on another table

I have a 1000X6 table, where in each row the first three columns are dependent on the second three. I then make smaller tables of 1000X2 from these first three columns and basically ...
1
vote
3answers
208 views

Defining functions when there are a lot of parameters

Suppose I have two lists of parameters: $\delta=\{\delta1, \delta2, …\}$ and $\gamma = \{\gamma1, \gamma2, …\}$. The question is: how can one use $\delta$ and $\gamma$ (the parameter vectors) within ...
1
vote
2answers
66 views

Inconsistency in arithmetic on list elements [closed]

As expected, {a,b,c} - {a,a,a} (* {0, -a+b, -a+c} *) Or the same result can be obtained with less typing, thanks to implicit duplication of the subtrahend: ...
2
votes
2answers
97 views

Inverse of Times->Sequence

Suppose there is a list list={abc} then the replacement Times->Sequence gives ...
7
votes
3answers
399 views

Functional equivalent of a For loop referring to consecutive elements in a list

I have implemented this function which smooths the values in a list by, if it encounters a zero, replacing this entry by the average of its two neighbours (apart from the first and last values of the ...
1
vote
1answer
96 views

Replacing Logic operator List and generate combination of variables

so I'm trying to do the following starting from a list of inequalities: ...
15
votes
1answer
285 views

The efficiency compare between Flatten[#, 1] & and Join @@ # &

Err..Often I met the situation to join lists at the first level and I used to just Flatten[#, 1] &@ them. However, I found(when glance over the mathematica.stackexchange.com) someone else prefer ...
0
votes
0answers
23 views

Manipulating nested matrices columnwise [duplicate]

I have a project that requires analyzing large volumes of excel sheets at the same time. I have been having trouble figuring out how to index the imported files and manipulating them. The way I am ...
6
votes
4answers
179 views

Duplicate mapped elements in Riffle

What is the best way to do this? in: {a, b, c} {d, {e, f}, g} out: {{a, d}, {b, e}, {b, f}, {c, g}} ...
12
votes
2answers
314 views

What does IndexBy do and how exactly does it work?

I just saw the function IndexBy in the autocomplete suggestions and I was curious to know exactly how it works. Unfortunately, there's no trace of it in the ...
10
votes
5answers
438 views

How to randomly select subsets

I have a list of around 300 elements. I want to sample subsets of length 25 such that my samples are all distinct. My first inclination was to use something like ...
4
votes
1answer
126 views

Output function control and manipulation for efficient computation [closed]

I have taken note of a similar post related to modifying function parameters. I tried to adapt Kuba's solution to this post but I can't get it to work. I will illustrate my problem using a similar ...
2
votes
3answers
550 views

Plot a table of lists

I want to make a point plot of a table with lists in it. Assume I have data like this: data={{1,2,3,4},{5,6},{1,5},{2,4}}; and now I want to make a point plot ...
0
votes
2answers
57 views

Table results within loops

I have the following code. ...
0
votes
1answer
192 views

Iterating over a 2D list [closed]

I want to collect the result of a function in a data structure. In java the loop looks like the following code: ...
0
votes
1answer
62 views

Compute the evolution of several quanties from a data file

This question is somehow a part II of this: Part I. Here comes a small data sample as a minimal working example: ...
1
vote
3answers
237 views

How to select elements from a list by condition?

Considering I have a list: F = {f1, f2, f3, f4} I want to perform exponent on the list F = Power[#, 2]& /@ F Now I ...
1
vote
4answers
194 views

Pure function, one slot refers to List-position

I used all my google-fu trying to find how to make this work; read the docs as well. What have I missed? I feel sure this can't be a new question, but I can't find anything Here is is: ...
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: ...
1
vote
0answers
66 views

List manipulations with ; and ;; [closed]

I have the following list: L = {{a1,a2,a3,a4},{b1,b2,b3,b4},{c1,c2,c3,c4}} By using just the ; or ...
0
votes
1answer
442 views

Making table and plotting results of NDSolve problem

I am trying to solve two equation to find /[Phi][x] and plot h vs. /[Phi][x] for different values of L.I tried by writing as: ...
0
votes
1answer
65 views

Code optimization, Pad missing keys and Total part of values [closed]

Code optimization, Pad missing keys and Total part of values ...
1
vote
2answers
71 views

Encoding variables

I'm trying to fit a Logistic Model using LogitModelFit in Mathematica. The data I'm using contain qualitative variables that I have to encode. I've searched in ...
3
votes
1answer
205 views

Functional programming approach to avoid traditional loops

I'm currently learning from the wonderful post: Where can I find examples of good Mathematica programming practice? And i'm correcting my habits using Nest/Map/Thread instead of loops. The problem ...
2
votes
1answer
234 views

Appending elements to a list in parallel table

Is there any way to store values in a list that is being computed in parallel? For example, if ParallelTable is computing some ...
0
votes
2answers
133 views

Contract two lists

Suppose I have two lists of the equal length in the form powers= {{rho th},{mu},{beta},{nu},{r},{}} ...
0
votes
0answers
25 views

Iterating a model with 2nd order difference equations using Manipulate [duplicate]

I have a model including first and second order difference equations. It works for the case of first difference equation, which is below: ...
0
votes
0answers
36 views

Error with AppendTo [duplicate]

I am trying to write a function that builds a graph, or - better said - adds a layer of leaves to a pre-existing graph. Basically, I hand to the function three lists. ...
0
votes
0answers
27 views

Extracting subscript and superscript [duplicate]

I have an expression in the form Power[Subscript[g,a],mu] and I need to extract "a" and "mu" from this expression. It should be very simple but I could not find ...
4
votes
2answers
143 views

Finding column-wise ranks of values in a multidimensional list

I often have to find ranks of values in a list. However, Mathematica does not have built-in functions for that, or may be I'm just not aware of them. I can easily find ranks of a row/column vector. ...
1
vote
1answer
185 views

LinearModelFit[] of simulated data

I'm trying to simulate Hooke's law, f = k * x, so I generate data with the code: ...
1
vote
1answer
108 views

Importing, sorting and exporting lists

I have several TSV lists (.txt) of something like 2000*2000 numerics (e.g. 1.8645) to import ...
1
vote
0answers
132 views

Autocorrelation of 3D Points

I'm trying to compute the autocorrelation of a list of points $(x,y,z)$ in 3D. Can the CorrelationFunction or maybe ...
0
votes
2answers
82 views

Convex Combinations of List Elements

Let's say I have two lists $L_1=\{a_1,...,a_5\}$ and $L_2=\{b_1,...,b_10\}$. Is there an easy way to make new lists from convex combinations of these two lists' entries? Let me be more specific: 1 ...
1
vote
6answers
547 views

Converting two lists into a list of tuples [duplicate]

I wonder how I can turn the list $\{a_1,...,a_n\}$ into the new list $\{(a_1,1),...,(a_n,n)\}$, i.e $a_k \mapsto (a_k,k)$, how do I do that? I figured the function Tuples might work, but it just ...
0
votes
1answer
57 views

Delete String sub list

I have a list with several sub lists containing either strings or integers. I'd like to delete all list with strings. The following list ...
3
votes
1answer
155 views

Finding pairs where the intersection of them is empty set from a nested list

It would be better to give an example first. Suppose I have a nested list of the form list = {{ 1,2,3,6}, { 3,6,10,20}, { 4,7,11}, { 10,20}}; where each element ...
2
votes
3answers
160 views

Function like Cases/Select which also returns complement

I'm looking for a function similar to Cases or Select, but that also returns the complement of the resulting list. In other ...
2
votes
1answer
145 views

Dirichlet convolution of two lists [closed]

The Dirichlet convolution of two arithmetic functions f,g is defined by $f\ast g(n) = \sum\limits_{d|n} f(d)\ast g(n/d)$ How can I get the Dirichlet convolution of two lists? For example: Input: ...
0
votes
0answers
57 views

Using NestList instead of Do [duplicate]

How can I express the following code using NestList: ...
3
votes
2answers
138 views

How to define a list of symbols as a list of functions?

I have a list in Mathematica for example P={1+t,1+t+t^2,1+t+t^3}; My question is, how I can define each element of this list be a function of ...
0
votes
2answers
108 views

Exclude elements from mapping

I have had this problem way too often and still have not found a solution, yet. One acually used code is:` ...
1
vote
1answer
86 views

Cannot use Part in Pure Function [duplicate]

I need to select some lists in the nested list of form of {{1,2,3},{2,3,4}}. I have used Select to complete my work. But when I tried Position, it doesn't work. For example, ...
7
votes
5answers
716 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 ...
2
votes
2answers
69 views

How to edit a list according to the other list? [duplicate]

Gday guys. This problem troubles me, and I hope you can help me solve it. Say I have two random lists L1={{2},{5},{1},{0},{4},{7},{8}} L2={2,5,1,0,4,7,8} and ...
1
vote
1answer
50 views

Mathematica defines a function as list

This might be a very silly question but i'm defining a function as: \[Chi][AR_] := ((AR^(2) - 1)/(AR^(2) + 1)); which is clearly a scalar function of AR; however ...
4
votes
3answers
125 views

position of rows (or columns) whose elements all satisfy a condition

How do I determine the position of rows whose entries all satisfy some condition (e.g., all elements of the row are positive)? I've found out how to use Select to ...
1
vote
1answer
65 views

Transform List from {a,a,b,b,b,c} to {{a,2},{b,3},{c,1}} [closed]

The title pretty much says it. I want to map over the solutions returned by Solve but want to avoid calculating the same thing over and over again. e.g. ...
3
votes
1answer
135 views

Creating an autokey cipher function

Can someone help me with putting what I can say in words into code. I want to create autokey encrypt and decrypt functions (just wanting help encrypting and then can figure out decrypting). Everything ...
1
vote
1answer
87 views

How to list indices of list elements that meet a condition? [closed]

Is there a tidy way to create a list of the indices of elements of a list that meet specified conditions? This method gets the job done, but it's clumsy and not conducive to nesting: ...