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

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5
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2answers
777 views

How to optimally solve and generalize this Conway's Game of Life puzzle

I tried solving this using mma. I am aware of this command - Cellular automata. But i don't want to use that coz then there is no challenge. So below is how i did it and my question is can this be ...
0
votes
2answers
99 views

List of lengths of runs of elements

I have a list where a few distinct numbers occur, e.g. {41, 41, 41, 1009, 41, 41, 41, 41, 41, 41, 41, 1009, 41, 41, 41} I want to extract the information of how ...
1
vote
2answers
154 views

Generating list of coordinates in $\mathbb{Z}^n$ given by set of inequalities

I am trying to generate list of coordinates that forms a subset in the integer lattice $\mathbb{Z}^n$. This set is given by set of inequalities. Right now, I am using the following: ...
1
vote
2answers
174 views

Discretizing data using quantiles in Mathematica

I am trying to discretize a long array of real numbers into a uniformly distributed integer array. To do this I am identifying the quantile where each real value sits and writing it out to the output ...
9
votes
4answers
598 views

Find positions of items in a list based on neighbours

How can I select items from a list where the selection criterion depends on the neighbouring items? For example select all indices where a change has occurred with respect to the previous element in ...
0
votes
0answers
24 views

Create a (maybe nested) list of nminimize solutions in a loop [duplicate]

I'm a total newbie in mathematica, so need some help. I understand that my question is about basics, but i couldn't find the answer in docs, google and here. Here is what i'm trying to do. ...
5
votes
2answers
303 views

How to create this list more elegantly

There is list containing some $(i,j)$ values of indices. Now i want to create a matrix of dimension n $\times$ m whose entries are 1 for the indices corresponding to the given list otherwise its ...
2
votes
2answers
168 views

Generating an editable table that can be used as input

Say I have a number $n_{max}$. I want a command to generate a table like 1 1 2 2 3 3 4 4 ... nmax nmax where the second column is editable, and this table can be ...
0
votes
1answer
395 views

Remove list elements that contain NaN Symbol [duplicate]

I have a long list of lists ...similar to g = {{1,2,3},{4,2,7}, .....{1.2,9}}. Occasionally, g contains elements like ...
1
vote
3answers
111 views
0
votes
3answers
125 views

string to complex number

Consider the following list MyList= {-0.0000396, -0.0000187167, "0.10259130990561813-0.0677132394802944i"} Head /@ MyList (* -> {Real, Real, String} *) In ...
14
votes
3answers
688 views

Fastest way to check for List membership

I have a set of say 100 numbers {1,3,7,11,19,...3971}. All elements are previously determined. I want to check whether ...
5
votes
3answers
280 views

Question about Map and Total

Suppose I have a list and I want to generate a new list, such that $$ NewList[index] = \sum_{index \neq j}^{NumOfElts} \frac {1}{ \lvert OldList[index]-OldList[j] \rvert ^2 } $$ Can I do it using ...
0
votes
1answer
73 views

Produce a 1-dimensional list of all unique matrix elements

We have some symbolic matrix m, e.g. m={{1, x, 4 x + y},{0, x y + 4x, 4x},{7 x, x, 4x + x y}} and we want to produce as output a list of all the unique elements ...
0
votes
2answers
135 views

Result of NIntegrate ploting to list

I've been working on a project where I need to make two Plots. Those plots are of the form: ...
1
vote
1answer
269 views

Partitioning time series data in sublists by their duration

I would like to do calculations on irregularly sampled time series data at intervals - for example on an hourly basis - rather than over the whole time series. The entire dataset is split up by time ...
14
votes
6answers
1k views

Shuffle product of two lists

I want to do the following: I have two lists {a_1,...a_n}, {b_1,...,b_n} and I would like to build now all shuffles out of this. This means all unions of these ...
2
votes
1answer
203 views

What is an elegant way to aggregate two cash flows

When modeling a swap contract a common operation is to sum up two cash flows producing a resulting cashflow with netted amounts in the highest granularity of the two initial cash flows. What is a ...
0
votes
2answers
123 views

Handling output that was returned unevaluated from a function

When evaluating functions, including those described in this post, how do Mathematica users handle values returned from a function that are unevaluated? For example (based on 1): ...
1
vote
2answers
359 views

Mapping functions over multiple lists

I am not sure if this is a duplicate. Spent some time looking over list-manip questions. I’d like to know the Quickest Way to achieve the following Mapping of a function over multiple lists. ...
2
votes
2answers
280 views

Replacing values above a threshold with 1 [duplicate]

I have a list with some values and I want to replace a value which is greater than 1 with 1 otherwise keep the value. In this case 10562: ...
7
votes
5answers
323 views

LengthWhile until first duplication

I have the need to trim each of a large number of potentially very long lists (10^6+ elements) to the length where the last occurrence of any distinct element happens, or said another way, where the ...
1
vote
1answer
94 views

Experiment with TagSetDelayed involving Part

Reading Associating Definitions With Different Symbols, I was intrigued by this: You can think of upvalues as a way to implement certain aspects of object-oriented programming. A symbol like ...
8
votes
7answers
1k views

How to select all elements above the main diagonal of matrix?

How to select all elements above the main diagonal of matrix? I need to create a list of them.
2
votes
2answers
129 views

Elegant way to rearrange year/date table into time series/values

I often have data in the form of YEAR JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC 1950 -1.022 -1.146 -1.289 -1.058 -1.419 -1.36 -1.334 -1.05 -0.578 -0.395 -1.151 -1.248 1951 ...
2
votes
2answers
170 views

How can I thread lists of different sizes?

What I need is the equivalent of Maple's zip(+, A, B, 0). Sure I can get it with: ...
2
votes
1answer
263 views

Selecting every last element of a nested list

I couldn't find a similar question so I decided to ask this one. I have a nested list with many sublists of equal length. To make things easier let's say it's like that: ...
14
votes
4answers
2k views

Semi prime numbers

The high school textbook I am using has the example of semi-prime numbers. They wanted students to find (by "perspiration") all the semi-prime numbers less than $50$ (for a question on set theory). ...
2
votes
1answer
116 views

Intersection does not take list of lists

The function Intersection takes a number of lists (sets) and finds their intersection. However, the precise input is ...
1
vote
2answers
216 views

Sorting lists element by element [duplicate]

I have a problem regarding list sorting. Let's say I have a list of lists obtained using Subsets[], of the form ...
0
votes
2answers
143 views

Specifying an array that may have an unknown number of entries [duplicate]

Say I'm running some process of unknown duration, and during the process, I need to periodically record the state of some variable. If we knew exactly how long the process took, we could simply ...
4
votes
3answers
361 views

Fast method for combining two lists

I have two lists, v1 and v2. Each element of the lists may be positive or negative. I want to create a list ...
2
votes
7answers
346 views

How to replace plus sign by comma

I want to replace plus by comma and the order of numbers in the list should be in increasing order. Example: a1 + a10 + a11 + a13 + a2 + a27 + a28 In this ...
1
vote
1answer
78 views

Evaluating the tensor product many times for a given list

I need to evaluate the tensor product 10 times in a given list( {g,e,r}) Here I have evaluated for 3 times... ...
0
votes
1answer
4k views

Table - find index of the maximum element [duplicate]

Let's suppose that I have table t = {1.23, 3.4, 10, 34, 1.78, 0.98, 12.56}. To take the biggest element I can use Max[t] ...
1
vote
1answer
671 views

ListPlot doesn't shows all points [closed]

I have a table: p1 = Table[(Binomial[2000, k]*StirlingS2[1386, k]*k!)/(2000^1386), {k, 1, 1386, 1}]; I used ListPlot[p1] ...
2
votes
3answers
184 views

Counting instances where the two identical characters are at the same positions in two strings

Let $s_a$ and $s_b$ be two strings over a $q$-ary alphabet. For each character $(c_1,...c_q)$ in the alphabet, I'd like to return a pair of values $(r,k)$ where $r$ represents the count for the ...
0
votes
1answer
76 views

Error about limit MaxExtraPrecision

After my evaluations I have an error: N::meprec: Internal precision limit $MaxExtraPrecision=50. reached while evaluating ... ...
7
votes
6answers
239 views

Faster list duplicate 'limiter'

Given some list, e.g., {5, 3, 2, 3, 1, 0, 1, 3, 5, 5, 4, 5, 1, 2, 5, 2, 2, 0, 1, 4}, I need to limit the duplicates, if any, to an arbitrarily chosen number. The ...
1
vote
2answers
98 views

Choosing a position in an array with uniform random probability conditioned on it having a specific element

I have an array exArray with two types of integer elements: 1 and 2. I'd like to choose a ...
2
votes
2answers
67 views

Specifying an array with a specific number of copies of two elements

To specify an array of length L in Mathematica, where each entry is someElement, I'm accustomed to writing: ...
7
votes
5answers
362 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
3answers
264 views

When does a list contain only ones?

I am starting with a list of length n that contains all -1's. For instance, when n = 6 the list is {-1, -1, -1, -1, -1, -1}. I ...
16
votes
4answers
1k views

Moving maximum function?

How can I construct a moving maximum function? For example, if I have a list of 12 values: { 5, 6, 9, 3, 2, 6, 7, 8, 1, 1, 4, 7 } and I want to maximize over 3 ...
1
vote
3answers
190 views

Distinguishing slots in a function mapping Position across a list

Suppose that I have a list myList that has more than one level. Here is an example of such a "data structure": ...
2
votes
3answers
127 views

Quickly plotting (number of events) vs. (time) for a very large number of events encoded as pairs of real numbers representing start and end times

I have an array that looks like the following: exampleArray = {{t1,r1},{t2,r2},{t3,r3},{t4,r4},{t5,r5},...}; Where each pair of real numbers $(t_k,r_k)$ ...
21
votes
5answers
660 views

More efficient way of generating list of occurrence counts?

Given a list, e.g., target = {a, b, c, b, c, d, c, d, e, f, a, h, g}, I want to generate a list containing the occurrence count of the corresponding element of the ...
0
votes
1answer
79 views

how to filter out numbers of specific type in a table

I am working with a way to generate a table of some numbers, but the one functions could return the complex numbers which I don't want. I am going to filter out the complex numbers. The only way I can ...
1
vote
2answers
145 views

How to create automatically some matrices for symbolic manipulation?

I want to create in an automatic way some matrices to do symbolic calculations with them. They look like these: $$ \left( \begin{array}{cccc} a & 0 & b & 0 \\ 0 & 1 & 0 & 0 ...
5
votes
4answers
954 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 ...