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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1answer
187 views

How to combine matrix with array without cycles?

I am new to Mathematica. And I'm sorry for my English. I have created a matrix ($6 \times 4$) and an array ($1 \times 4$). I want to get another matrix that will have the first element from the array ...
5
votes
1answer
2k views

Contracting with Levi-Civita (totally antisymmetric) tensor

I have an array $v_{ijk}$ which is effectively a rank-$3$ tensor with dimensions $3\times3\times3$, and I need to contract it with $e^{ijk}$, i.e. evaluate $v_{ijk} e^{ijk}$ (see Einstein ...
5
votes
1answer
149 views
5
votes
1answer
271 views

Selecting a list from a list of lists

In working through Programming Paradigms Via Mathematica (A First Course) I have come across this two part question: A permutation of length "n" is a list of the first n positive integers in ...
5
votes
3answers
254 views

Applying a function with the HoldAll attribute inside NestList

I'm trying to write an update function, which can be applied to a list and then to NestList it. As the function has to manipulate the given variable I figured I ...
5
votes
1answer
214 views

Why is Flattening a CoefficientArray so slow?

I have a vector of $n$ degree $n$ polynomials in $(x,y,z)$, each of whose coefficients is an inhomogenous linear expression in $3 n^2$ variables. I want to write down the linear equations in these $3 ...
5
votes
2answers
282 views

Integrating a list of functions

For the purpose of this minimal example, let's say we have a list of functions, like this: f[y_?NumericQ] := {NIntegrate[z*y, {z, 0, 1}], a y} I want to ...
5
votes
1answer
394 views

An easier and more efficient way to combine lists?

I currently have a two lists. The first list contains independent variables $x$, and the second list contains dependent variables in the form of $\{\{f[1][x]\},\{f[2][x]\},...,\{f[n][x]\}\}$. I want ...
5
votes
1answer
250 views

Timing differences between multiple executions of identical code

I have a list of pairs of numbers and I'd like to change the sign of the second element in each pair i.e. $(a,b)\rightarrow (a,-b)$. I'm sure there are many ...
5
votes
1answer
742 views

Computing the distance between two curves obtained from image data?

I've got some image data that I've binarized. The image contains two curves, from which I'd like to compute the distance between (eventually computing an average radius for each point in the ...
5
votes
1answer
39 views

Heading in Table Form Question

I have: modadd = Table[Mod[i + j, 3], {i, 0, 2}, {j, 0, 2}]; TableForm[modadd, TableHeadings -> {{0, 1, 2}, {0, 1, 2}}] Which produces: How can I put a ...
5
votes
2answers
88 views

Overlap between lists of sublists with different dimensions

I have two lists of sublists. The sublists in the first list contain three elements while the points in the second list contain four e.g.: ...
5
votes
1answer
129 views

Why does my MapThread expression fail in this case?

This morning, I opened one of my previous notebooks and evaluated it. Surprisingly, the code produced an error. This took me a whole four hours to find the problem and it is with ...
5
votes
1answer
244 views

How can I add a mesh over this?

How can I add a mesh over the following 3D plot? ...
5
votes
1answer
231 views

Generating repeated elements in a list [closed]

Is there a function in mathematica that allows you to generate repeated elements inline within a list. For example, let's say you provided this as input text: {1, 2, 3, 4, Repeat[5,3], 6, 7} ...
5
votes
2answers
133 views

How to use Manipulate to cycle through a list of lists over a function

So I can do something like this which I like: Manipulate[i, {i, {1,2,3,4}}] It lets me pick which specific values I want to allow to be chosen for my function. ...
5
votes
2answers
356 views

Building conditional lists with Manipulate

I'm trying to select elements of a list that satisfy some criteria using Manipulate[]. Given 2 lists: ...
5
votes
1answer
191 views

What is the fastest way to maintain a large set of expressions?

In my algorithm I need to maintain a set (an unordered list of distinct elements) of expressions supporting two operations: Test an expression for membership in the set Adding a new expression to ...
5
votes
5answers
350 views

Adding elements in the sublists

How can I add the elements in the sublists? For example, if I have the list which is m={{1,3},{2,3},{4,1}} then, the output that I want is ...
5
votes
1answer
131 views

RankedMax and Max do not behave identically

I have spent three hours debugging some code and at the end I think I found a bug. Otherwise I cannot explain what I am seeing: When I want to use RankedMax on ...
5
votes
1answer
88 views

ListConvolve with Padding -> Fixed?

The built-in function ImageConvolve takes a Padding option that "specifies what padding to use when extending beyond the ...
5
votes
2answers
381 views

TemporalData, RandomFunction, Loops: Extracting data from TemporalData sets?

I'm doing a finance project for my differential equations class to explore stochastic processes. I'm exploring IRA retirement funds. From the project write-up: Standing assumption: at time of ...
5
votes
1answer
626 views

Numbering element in descending order

How can I numbering the elements in descending order of second elements of sublists? For example, if I have the list which is ...
5
votes
1answer
112 views

How to increase speed of iterations with nonlinear functions

Let me ask about part of a problem which I have in solving of a nonlinear DE (numerically). I am working with vectors of length $xN$. I have an initial vector $v$, a given $xN\times xN$ matrix $A$ and ...
5
votes
1answer
95 views

Fast 1D BinCounts Alternative

I have lots of data which looks like this example: ...
5
votes
2answers
128 views

Levelspec range with negative levelspec

Documentation states A negative level -n consists of all parts of expr with depth n. However, it is not clear what do ...
5
votes
1answer
117 views

Amount of k-sized not-duplicated subsets of subsets of pair with disitinct sorted integers

I have a list, L, of this kind ($n\in \mathbb{N}$): L=Sort[RandomSample[Subsets[Range[n],{2}],RandomInteger[{1,Binomial[n,2]}]]] S contains any k-sized subset ...
5
votes
1answer
428 views

Defining a string based sort function

I'm having a bit of trouble figuring out the right Sort syntax to use on a list of lists. Consider the following list: ...
5
votes
1answer
235 views

More efficient Omnibus number determination?

Amusing myself with concepts from "Omnibus Sequences, Coupon Collection, and Missing Word Counts", in particular the sequences. To paraphrase the concept, a string is k-Omni over some alphabet a if ...
5
votes
1answer
209 views

Can the elements of a list always be sorted into a canonical order?

As the title states - does a unique order exist for any Mathematica list to be sorted by the Sort[] function (or as returned by a function that treats lists as ...
5
votes
1answer
562 views

Counting the number of operations performed during a calculation

I need to know how can I count the number of operations performed during a calculation of a CompoundExpression. In some of these expressions there are ...
5
votes
0answers
57 views

SimilarityRules for SequenceAlignment of two lists

I am trying to use the SimilarityRules option of SequenceAlignment to customize its output. This works perfectly for strings, ...
4
votes
8answers
206 views

How to Select from a List based on another List? [duplicate]

I could do this with Append[], If[], and a Do[] loop, but I'm sure there's a more elegant "Mathematica-like" way. Example: Selected the elements of b where the corresponding element of a is >3. ...
4
votes
2answers
585 views

Optimize inner loops

I'm Mathematica newbie so please be gentle :) I have this, heavily non-optimized part of code, which I would like to speed up. I have put all matrices to be RandomReal, but in my code they take ...
4
votes
6answers
499 views

Insert all elements from one matrix into another

I have two matrices $A$ and $B$ which are the same size. Each element of $A$ is a list of numbers. Each element of $B$ is just a number. How do I insert each element of $B$ into the corresponding list ...
4
votes
5answers
153 views

Opposite of Differences

I want to add the successive the elements of a list. As we know the operator "Differences" performs the difference of the successive elements of a list. Is there a function which performs the opposite ...
4
votes
3answers
405 views

Efficient matrix / array generation

What is the most efficient way of generating the following matrix? $\left( \begin{array}{ccccc} 1 & 0 & 1 & 0 & 1 & 0 & 1 & \dots\\ \frac{1}{2} & \frac{1}{2} & 0 ...
4
votes
3answers
774 views

Finding elements from a sparse matrix

I am dealing sparse matrices of very large dimensions. I need to locate the positive and negative elements of the matrices and make lists of their corresponding positions. Of course I can write a ...
4
votes
4answers
287 views

How can I name “a[[i]]” the parts of Table “a”? Or how to make Table “a” grow inside FindMinimum?

Let's say I want to minimize a function that uses a Table named a with the Conjugate Gradient Method of ...
4
votes
4answers
635 views

All binary sequences with length n

I don't know if there is a built-in function for this, but I'm thinking about something like this Outer[List, Table[{0,1},{n}] ] But ...
4
votes
4answers
420 views

Add/replace a rule in a list of rules based upon the rule's lhs without regard for the rule's rhs

I have the following lists of rules: {x -> 1, y -> 2} {x -> 1, y -> 2, z -> 4} {x -> 1, y -> 2, z -> 2} For each list of rules, I would ...
4
votes
2answers
320 views

Why can't NumberQ be used as the head of a pattern?

Consider the following: list={1/First[{}], 1, 2, 1/First[{}], 3}; DeleteCases[list,_NumberQ] I wanted to remove all cases, which did not match ...
4
votes
3answers
272 views

Efficiently test membership for a list of values

I have two lists: excluded and values. I would like to efficiently determine whether ...
4
votes
5answers
287 views

How do I write a condition for Position that uses both the current and previous element?

For example, given {57, 3, 40, 94, 9, 84, 81, 93, 76, 5, 7, 76, 38, 9, 23, 95, 49, 0, 30, 3} I'd like to get all the indices at which the elements cross from ...
4
votes
3answers
322 views

How can I change a list to a sequence without destroying nested list

I defined a function f like f[x___, y_] := something; and if xs and ...
4
votes
6answers
324 views

Sorting Matrix elements

I have matrix in as shown, consisting of real numbers and 0. How can I sort it to become out as shown? ...
4
votes
4answers
259 views

Replace matrix rows conditionally while avoiding For loop

I have the following variables: myMatrix={{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0}} myIndices={1,3} I need to replace the rows ...
4
votes
4answers
779 views

Writing a circular matrix

I have two square matrices, $A$ and $B$, of the same size, say, of $m \times m$. What I want is to write a programme/function of three variables, $A$, $B$ and $n$, that outputs the $mn \times mn$ ...
4
votes
3answers
390 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 ...
4
votes
6answers
242 views

Filter list with different list in it

I have a list like: {{{4, 14}, 1}, {{4, 15}, 1}, {{4, 16}, 1}, {{4, 17}, 1}, {{4, 18}, 1}, {{4, 14}, 3}, {4,15}, {{4, 16}, 2},{4,18}} Now I want to ...