Questions about applying functions or operators to expressions, especially constructs that take advantage of Map (/@) functionality.

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1
vote
1answer
72 views

How-to implement iteration over a result of an iteration in a functional way

I have a pure function f:= #1 * #2 * #3 &; Which I can invoke in a following way: f[#,2,3]& /@ {1,2,3} Which ...
4
votes
1answer
255 views

Applying function to cartesian product of two lists

I have two lists X = {1, 2, 3}; Y = {5, 6, 7, 8}; I want to apply function g[x,y_,z_] to all pairs from X*Y, so I need to ...
3
votes
1answer
145 views

Parallel Apply on a deeply nested expression

I have a deeply nested expression, i.e. something like {{{{...}..}..}..}, and I'd like to use Apply in a parallel fashion, e.g. ...
4
votes
2answers
191 views

How to convert a list of 3D points to a list of distances?

How do I apply a function (this case EuclideanDistance) between element i and i+1 on a list ...
17
votes
2answers
587 views

Can A Plot Be Overlayed With A Map?

Some brief, only slightly important background. I am doing a research project using the data from NASA's GRACE mission. I wrote a short Perl script to take two data files and find the change in ...
2
votes
1answer
79 views

Map function with a counter

How can we embed a counter in the Map function? Consider a data set such as data = {{a, b, c, d}, {e, f}, {g, h, i}}. The ...
0
votes
0answers
112 views

Referring to arguments in nested functions

I am interested in executing the following command but don't know the proper syntax to distinguish between nested arguments, here at the Select[] and Map[] levels. For example, ...
3
votes
1answer
85 views

Map with multiple arguments

I have a function f[m,n] and a list of arguments args = {{m1,n1},{m2,n2},{m3,n3},{m4,n4}, ...} that I want to apply to it. I ...
0
votes
0answers
118 views

Loop in a loop, or how to evaluate complex expressions

I need to find $h_{0j}$ for every $1\leq j\leq300$, where \begin{multline*} h_{0j} = \sum_{q=1}^{Q}g_qe^{-\lambda_q j\Delta}\frac{e^{\lambda_q\Delta}-1}{\lambda_q} + \sum_{p=1}^{P}\frac{e^{-\alpha_p ...
29
votes
2answers
2k views

Scan vs. Map vs. Apply

I cannot understand the difference between Apply, Scan, and Map. I have tried to play with ...
1
vote
2answers
60 views

How to generate commands which are very similar?

I have several data sets that I wish to interpolate and integrate like this: ...
5
votes
6answers
344 views

Indexed Map Thread

I'm attempting to MapThread a function of two lists that requires the index of the list values. For example, MapThread[#1*i+#2*j&,{{a,b,c},{e,f,g}}] Where #1 ...
5
votes
2answers
128 views

A problem with Compile and Map

There is a weird behavior of Compile that I do not understand. Consider the following example: ...
0
votes
1answer
129 views

How do I manage my memory better when using the Map function?

So I'm attempting to write a Mathematica program that prints a range of natural numbers as the sum of four cubes. I wrote the following Mathematica code to try this, but am running into a memory ...
0
votes
1answer
96 views

How to switch keys in a Map to Association [closed]

I have an association that has parameters for a function. These parameters represent two cases that need to be applied to the function. Some parameter values are common to both cases but some are ...
0
votes
2answers
53 views

Different behaviour of Map and Inner in replace rules

Why does x[{1, 2}] /. {x[l_] -> Map[func, l]} {1, 2} not behave as expected, while for example ...
4
votes
3answers
217 views

How to map over inner keys of nested Associations?

Considering an association: <|"a" -> <|aa-> "asc", bb-> "asd", cc-> 0, ImageType -> "asd", dd-> "asd"|>|> How can I make the inner ...
0
votes
1answer
245 views

What is the “proper” way of multiplying a list of vectors by a matrix? Why Map does not work? [closed]

I am an absolute newbie with Mathematica, so please forgive me if this is stupid, but for the life of me I can't solve this. Suppose I have a list of vectors $b_{1...n}$ and a square matrix $A$ and I ...
2
votes
4answers
206 views

Using Map sequentially

I'm trying to simulate the probability of a balanced hand in Bridge (The Theory of Probability by Santosh S. Venkatesh, 2013) using Mathematica. The problem is solved in the textbook but I just wanted ...
0
votes
1answer
81 views
1
vote
1answer
120 views
4
votes
1answer
193 views

MovingMap maps to second level unexpectedly

I'm trying to build a financial indicator in mathematica. I import some historical data ...
1
vote
3answers
103 views

MapThread (or alternative) for adding fixed option

I currently use MapThread[f, {{a1, a2}, {b1, b2}] for obtaining { f[a1, b1], f[a2, b2] }. Is there a version (or alternative) ...
0
votes
2answers
73 views

How to change list to a list of points

I have a list of angles {a1, a2, .... , an} and I would like to have a list of points ...
8
votes
5answers
267 views

How to Map a function with HoldAll attribute

First of all, I'm not sure about the title of this question, so please correct me if there is any title more sensible than mine. The problem is the following: I have a function f that checks if a ...
2
votes
1answer
145 views
7
votes
3answers
401 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 ...
2
votes
2answers
224 views

Adding map to 3D plot?

I've made a 3D plot of a pressure surface over the region 160W-20W, 20N-80N - the right panel and I would like to put a map under it, probably just continental outlines for simplicity. I'm just ...
3
votes
0answers
70 views

Is there an equivalent to MovingMap[] for functions that work on more than one TimeSeries?

I have a family of functions that require two TimeSeries (A and B). As a trivial example, imagine a function called beta[tsA_,tsB_] that determines the slope of the linear regression line for the ...
5
votes
2answers
161 views

Indexed Thread on dataset and list

I currently have a dataset, and I would like to add a column based on another list. For example: ...
3
votes
2answers
201 views

How to use select and map together

I have two lists, list1 and list2. I want to Select from ...
0
votes
2answers
73 views

How to continuous apply a function to an argument? [duplicate]

In order to calculate x = sqrt(1 + x) for a given number x, 40 times, I tried this: ...
1
vote
1answer
47 views

Summimg peculiar nestings

I have some lists with peculiar nestings: ...
3
votes
3answers
294 views

Use map on a different level

I have just started to get used to Mathematica's Map, Apply, and related functions, and I can't figure out how to do maps that require working "one level down". For example, I am currently trying to ...
0
votes
0answers
114 views

map of Europe as histogram

I want to make a histogram using the map of Europe, such as this or similar: thanks to all
0
votes
1answer
123 views

Superpose a map and a region plot

I would like to add on a map of city a region plot, which is this one in this case : ...
2
votes
1answer
114 views

Why is Nearest not giving me expected result

I have the following list: numbers={0.,0.6,0.8,1.,1.2,1.4,1.8} Then I calculate the midpoints: ...
0
votes
1answer
69 views

Elegant ways of solving this file batching task

There are a batch of data files in a folder (dir = "D:\\Documents\\datadir"), each of which consists of a list of data items, one per line. Each data item is a pair ...
2
votes
3answers
96 views

How to test a condition for a list and output all the expression that is true?

Suppose that I have a list lis={x-y,x+y,x*y}; and a function f[a_,b_]:=#/.{x->a,y->b}& I want to output all the ...
4
votes
2answers
89 views

Count the number of element repeats at various distances

I have a function of x: f[x_] := Abs[Extract[list, x + n] - Extract[list, x]] I then apply this: ...
2
votes
2answers
167 views

How to Map each cell in a matrix to another and solve the system?

tab1 = {{a1, a1 + a2}, {b1, b2*b2}} tab2 = {{2, 5}, {5, 2}} I want to map like this ...
5
votes
1answer
121 views
0
votes
1answer
35 views

MapThread with incompatible length (How to Map twice in the same line)

l and b are two lists of vectors with different length. I need the list of vectors that is constructed by adding each member of ...
6
votes
2answers
323 views

Mathematica periodic moving map

I am pleased to have MovingMap in Mathematica 10. But, today, I encountered the problem that needs MovingMap with a periodic boundary condition. To be specific, Consider the following example. ...
2
votes
1answer
120 views

Excluding cases from Map

I'm doing operations of the form: PowerMod[#, -1, 126]+# & /@ Range[1, 125] When a number is not invertible, I don't want it to be included in the result ...
2
votes
3answers
84 views

How to manipulate one column of a table using the value in another column

Let's imagine I have the following table structure data = {{a, b}, {c, d}, {e, f}}; and I want to transform it into the following table ...
3
votes
1answer
43 views

Mapping also for one element (or telling it how to do so if head got changed)

Some code generates a polynomial, and has the form: expr = Plus[a[i],b[i],c[i],d[i]] I need to apply f to each term. To do ...
2
votes
2answers
71 views

Partial application of MapThread

Suppose that I have f[a_, b_, x_] := ... I'd like to create a list of n pure functions ...
9
votes
3answers
366 views

Operate over list of pure functions

I have list of pure functions (All functions are InterpolatingFunction) i.e {{a, b}, {c, d}, {e, f}, ...} and I would like ...
33
votes
3answers
2k views

Changing Values in an Association using Map

I am trying to change the value of one key in an association based on the value of another key in that association. So if my association starts as: ...