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

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12
votes
1answer
192 views

ListConvolve Memory Hemorrhage

Bug introduced in 10.0.0 and fixed in 10.2.0. I wrote a routine that convolves an impulse response array with a test array and checks for the RMS difference between that convolution and a data ...
12
votes
0answers
232 views

Strategies to find curves on messy data using FindCurvePath

I have a set of data points that correspond to roots of a transcendental equation with respect to a parameter (the abscissa) which, by the properties of the system, define continuous curves (might be ...
11
votes
10answers
681 views

Elegant way to map a function to only the last element of each sublist [duplicate]

Suppose that I have the following list, called test: test = {{{a1}, {a2, a3}}, {{b1}, {b2, b3}}, {{c1}, {c2, c3}}}; Now ...
11
votes
6answers
2k views

Multiplying two dimensional data by a constant

I have a list of lists of the form: {{1, 2}, {2, 4}, {2, 8}} But I want to multiply only the second dimension of that data by a constant. I know I could do this ...
11
votes
11answers
485 views

Replace elements in list not matching elements of another list at the same position

I would like to compare two arrays: m = {a,b,c,d,d,f}; n = {b,b,a,d,d,e}; and get: {0,b,0,d,d,0} I have tried all kinds ...
11
votes
4answers
6k views

How can I multiply matrix and vector element wise like Numpy?

I have an $M \times K$ matrix $C$ and a length $K$ vector $v$. I want to form the $M \times K$ matrix $S$ where $s_{ij} = C_{ij}/v_j$. To do this in numpy I simply divide the two objects like this ...
11
votes
4answers
4k views

What is the cleanest way to prevent divide-by-zero warnings?

If I evaluate {1, 2, 3, 4}/{5, 6, 0, 8}, obviously I get one warning: ...
11
votes
7answers
3k views

Combination and Permutation

How could I obtain the list of all the groups of 5 numbers taken from Range[12] such that the 2 lists have an empty intersection : ...
11
votes
7answers
1k views

How can I Flatten this List with Inner List of Lists?

Given the following List ...
11
votes
4answers
641 views

In a list of points, how to efficiently delete points which are close to other points?

Consider a list of points: pts = Partition[RandomReal[1, 10000], 2]; ListPlot[pts] I'd like to delete points so that the minimum distance between two points is ...
11
votes
10answers
590 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 ...
11
votes
5answers
3k views

How to find rows that have maximum value?

Suppose if I have following list { {10,b,30}, {100,a,40}, {1000,b,10}, {1000,b,70}, {100,b,20}, {10,b,70} } How to find rows that have max value in ...
11
votes
10answers
829 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 ...
11
votes
4answers
480 views

How do I extract a matrix of only positive numbers given a set of assumptions?

I want to divide a matrix: mat = {{a, 0, -b}, {d, a, 0}, {0, 0, -a}} with the following assumptions: ...
11
votes
7answers
250 views

DateList coupled with String Operations

Through some webscraping, I have the following list: ...
11
votes
4answers
409 views

What's fastest way of defining 10^5 down values?

I want to define isGood[___] = False; isGood[#] = True & /@ list where list is a list of several million integers. ...
11
votes
4answers
928 views

Using Position (which requires a pattern) in the same manner as Select (which requires a criterion)

I am using Mathematica7. I have a list of lists (creatively named list in the following sample code) containing data. I would like to find the positions of the ...
11
votes
3answers
357 views

What is the best way to flatten a linked list with lists as values?

By following the advice on this site I have ended up with a linked list like the following: acc = {{1, 2}, {{2, 3}, {{3, 4}, {{4, 5}, {{5, 6}, {}}}}}}; This was ...
11
votes
3answers
359 views

get position index for all element in a list

For example mat={{a,b},{c,a,a}} How to write a function posindex that posindex[mat] will ...
11
votes
5answers
425 views

Most efficient way of making pair list from a list

I have a bunch of datasets which looks like: 3 7 1 6 5 8 2 4 1 2 8 1 5 2 5 ... and I need to make a list of pairs such that the first element makes a pair with ...
11
votes
3answers
791 views

How to add lists with unequal length?

Given lists of unequal lengths, I want to add them together element-wise, treating missing elements as zero. For example, {1, 2, 3} + {a, b} + {x} should give ...
11
votes
3answers
321 views

Gathering of list

Problem statement The following challenge was recently posted to the J language programming forum by Skip Cave (http://jsoftware.com/pipermail/programming/2016-March/044561.html): "The animal ...
11
votes
2answers
222 views

How to make a Slash header in Grid?

Here is an example, ...
11
votes
5answers
441 views

How to sort list of mixed types of elements with each type a specified canonical order?

For example, here is a list {{1, "u"}, {6, "d"}, {3, "u"}, {4, "d"}, {2, "u"}, {5, "u"}, {3, "d"}, {1, "d"}, {4, "u"}, {2, "d"}, {5, "d"}, {6, "u"}} The ...
11
votes
6answers
389 views

Using MapIndexed only at certain elements of a list

MapIndexed is a very handy built-in function. Suppose that I have the following list, called list: ...
11
votes
5answers
363 views

Partition a list into sublists of different lengths

I have the list {a, b, c, d, e, f, g, h, i} and I want to make a sub-list of the form {{{a, b}, c}, {{d, e}, f}, {{g, h}, i}} ...
11
votes
5answers
573 views

Graphically approximating the area under a curve as a sum of rectangular regions

I am completely new to Mathematica. Basically I was trying to write a code to plot a function and draw the approximate area by rectangles. To be more precise, plot a function ...
11
votes
6answers
457 views

Performing Computations on Sets

I would like to find a permutation of $\quad S=\{\frac{1}{10}, \frac{1}{2}, \frac{4}{7}, \frac{3}{5}, \frac{2}{3} \}\quad$ that maximizes the sum of theses elements raised to unique powers: ...
11
votes
3answers
413 views

Looking for an elegant way to construct this tensor-product-ish list

I would like to make the following matrix: ...
11
votes
5answers
2k views

Ways to compute inner products of tensors

One way to evaluate the following sums is combining Table and Sum: $u_{abcd} = \sum_{e=1}^3 v_{aeb}w_{ced}$ $q_{ab} = \sum_{d,e=1}^3 v_{d e a}w_{deb}$ It will look like ...
11
votes
6answers
368 views

Fill out blanks with a upcoming number in a list?

I have a bunch of arrays looking like this: {"", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", ...
11
votes
2answers
406 views

How to fill a grid make its total be largest

I have a blank grid whose dimension is 5*5. I want to fill it with some number using 1, 2, 3 and 4. But in every blank space if you fill 2, its neighbor (include four direction, such as left, ...
11
votes
3answers
312 views

Partition a list based on specific elements? Grab the sublists beginning with a certain marker elements

Say I have the list {{a}, {0, 2, 5}, {5, 4, 1}, {a}, {1, 1, 0}, {1, 4, 2}, {3, 3, 0}, {a}, {3, 2, 0}, {1, 4, 1}} I would like to make sublists of everything ...
11
votes
2answers
263 views

How to mesh a region using adaptive cubic elements

Assume a list of {x,y,z} coordinates. The coordinates are arranged in a regular fashion through a fixed raster size (called ...
11
votes
6answers
407 views

For a given expression: if it appears, remove it, but if it is absent, add it

While reformatting Szabolcs's code from (42660) I noticed this interesting operation: ...
11
votes
4answers
182 views

Faster position-based duplicate removal in a ragged array?

Take a ragged 2D array: rArray={{4, 2, 1, 0}, {2, 2}, {0, 0, 3, 3, 3}, {4, 0}, {3, 4}} I need to "deduplicate" this, where a duplicate is any element of a ...
11
votes
3answers
302 views

Threading over a list of lists of lists and a list of atomic expressions

Although I solved the following problem using MapThread, I'm curious about why Thread does not work as I expect it to here. ...
11
votes
3answers
197 views

Why can't I use Sequence to perform a Select like task? [duplicate]

Suppose I wanted to write down a list of $p^2$, for $p$ a prime between $1$ and $20$. I would expect Table[If[PrimeQ[k], k^2, Sequence[]], {k, 1, 20}] to work. ...
11
votes
1answer
233 views

Map efficiently over duplicates in list

I am interested in mapping a function, f over a (long) list which contains duplicates. Since this function takes a while to evaluate I would like to make use of ...
11
votes
1answer
299 views

How to find longest monotonic sequence?

I have a list, for example list = {2, 1, 3, 5, 4, 6} How to find longest ascending sequence of this list? There are two meanings of this question: Find the ...
11
votes
1answer
98 views

Speed up Dynamic for graphical interface

I am trying to create a user interface where I can click on certain points in a set of data and save them into a list that can be used later in my code. The problem is it is currently sluggish. Is ...
11
votes
1answer
247 views

Why does Outer sometimes return a packed array, and sometimes not?

For example In[342]:= test3 = Flatten[Outer[Plus, Range[1000], Range[1000]], 1]; // AbsoluteTiming Out[342]= {0.0198735, Null} returns PackedArray ...
11
votes
3answers
272 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: ...
11
votes
2answers
1k views

Flatten at a certain level

In an earlier question the brainteasing fourth syntax variant of Flatten was discussed. I see that with ...
11
votes
1answer
153 views

Is there is a design problem or documentation problem with FirstCase?

In version 10 the new function FirstCase can take up to 4 arguments (plus option). The third argument is a default value to be returned if there is no match: ...
11
votes
1answer
422 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 ...
10
votes
8answers
824 views

Best way to emulate MATLAB's bsxfun using Map and similar functions

Given a matrix, we want to subtract the mean of each column, from all entries in that column. So given this matrix: ...
10
votes
8answers
978 views

Position of First nonzero number

I want to know is there any one line code to find position of first nonzero number without calculating position of all non zero numbers. For example, ...
10
votes
9answers
647 views

How to find range in which a number falls, from given list of numbers?

How can one find the range in which a number falls, from given list of numbers? ...
10
votes
6answers
487 views

Unique Element in List

I have a list a, and want to find out whether there is a unique element in the list. For instance a={x,y,z,y,x} has an unique ...