# Questions tagged [counting]

Questions on counting subparts of expressions, based on certain criteria. This is to be used with primary tags such as list-manipulation or string-manipulation, with the primary tag indicating the specific use case.

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### Efficiently Finding Weighted Integer Partitions

Suppose we have some list of natural numbers $\{ 1, 2, \dots, N \}$ and each natural number $i$ has a 'weight' $w_i$. I would like to generate the all the integer partitions which satisfy the ...
1 vote
43 views

### Method of assigning a number to the number of attempts that have appeared from it, with the first attempt appearing as number 1

I want to assign the first trial that appears as number 1 and the number of trials that appear from there as elements of the list, plus a number. At first, The following listA consisting of {a, b}. In ...
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### Accumulated instance count of each list element

Given a list with repeated elements, for example: list = {m, i, s, s, i, s, s, i, p, p, i} I'd like to determine, for each position in the list, how many times the ...
• 1,335
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### Is there a better way to calculate the number of codewords of weight $i$ in a list of codewords?

Background Info I am interested in a better way of doing the following: I want to find the weights of the following codewords (the weight of a codeword here can be defined as the number of nonzero ...
• 501
429 views

### Count all co-occurances of a pair of strings in a list of lists

I am trying to obtain a co-occurance matrix for pairs of names in a collection of groups of names. So, I have a collection of letters in small groups, such as ...
• 2,155
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### Using Count[] on a numerical list with approximate numbers

I have a matrix, SpinOp, for which I obtain the Eigensystem using {evalSpinOp,evecSpinOp} = Eigensystem[SpinOp]. I need to ...
• 431
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### Values of counting functions

I have a table of integers, say A, and consider the counting function C, which, for a given x, gives the number of elements in A which are less or equal to x. Next, I want to plot C(x) in some range, ...
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244 views

### Count occurences of number in list of lists

I have a nested list of numbers, something like satisfied = {{1, 5, 6, 2, 1, 2}, {1, 5,,8, 6}, ..., {5, 6, 1}} and I want to count the number of occurences of 1 in each list. I know there is 1000 of ...
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226 views

### Counting number of points in fluctuating lines that fall within a circle

I have a list of points pts that fluctuate around some mean line. pts is pre-sorted by the projection of the points onto this ...
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### Counting number of real and complex entries in a list

Say I have a list like this ...
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### Confusing abnormalities observed when counting a specific operator in an expression [duplicate]

Recently I have met with some confusing abnormalities when trying to determine if there is a specific operator (usually Plus[] ) in an expression by programming. ...
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### Listing all Index Possibilities Given a Vector and Indexed Set

Let's say I am given a vector $v=(5,2,-2,-4,3)^T$ and $\alpha \in \{-1,1\}$. I want to find all indices $(\alpha,i)$ such that $\alpha v_i >0$, where $v_i$ is the $i$th entry of the vector $v$ ...
326 views

### How to sort and extract a list containing products

I've some difficulties with lists containing products as elements, e.g. list = {A B A, A K B, A K R}, where A and B are from the same 'family', let's call it sector ...
1 vote
80 views

### Compute the length of each string in a set [closed]

Say I have done some computation, and it gives me the following set of string: ...
64 views

### Counting the number of elements

I have the following output: {{{0, 1}}, {{1, 1}, {1, 2}}, {{2, 1}, {2, 3}}, {{3, 1}, {3, 2}, {3, 3}, {3, 4}}} Using Length[] on ...
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1 vote
122 views

### How to count the amount of times an element appears seperately within a nested list [closed]

Beginner at using Mathematica, and having trouble with nested lists. For example, the following output for 15 coinflips every day for a year: ...
43 views

### ResetDirectory causes a fail on stored file names

Consider some directory dir with sub dirs and files. Our aim is to count the no of files in dir (not in sub-dirs, just the dir.) ...
• 1,154
1 vote
69 views

### Counting the number of occurrences of all groupings (consecutive occurrences of the same number) in a list

If the variable "digits" contains a sequence of numbers how to count how many times each grouping of a number occurs? For instance, for number $1$ how many times it occurs once consequitivly ...
• 542
252 views

### Counting the number of occurrences of specific values in a list in specific intervals

If the variable "digits" contains 10,000 digits from 0 to 9. How can the number of occurrences of 1s and 2s be counted in every 1000 digit intervals, that is to say the number of 1s and 2s ...
• 542
75 views

### Count heads: e.g. neglect all terms $\sin(x) \sin (y) \sin (z) \sin (w)$ for all values of the argument

I have a polynomial (functional) expression $E[F]$ in terms of a function $F$. I want to take an $F$-cube truncation in the sense that I want to and make terms of the form $F[w]F[x]F[y]F[z]$ vanish ...
• 155
411 views

### How do I count zeros in sublists?

I have an array RandomInteger[1,{100,100}]. How do I count zeros in each sublist so that I have a list which gives the number of zeros of each sublist in the array?
• 43
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### In Wolfram Mathematica, who do I query the result of a Counts operation efficiently and conveniently?

Setup Say, I'm given a dataset, like the one below: titanic = ExampleData[{"Dataset", "Titanic"}]; titanic Answering with: And I want to count the occurrences ...
• 285
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### Count for SparseArray

Why does Count not work with SparseArrays, and is there any function I can use to replace it? What would be an efficient ...
• 509
1 vote
82 views

### Counting the number of rows that contains specific numbers in specific cells

I'm trying to find a way to count the number of rows in a matrix that contains specific elements in specific cells. For example, suppose I have the following matrix ...
• 423
39 views

### Adding up a list of rules

Here's the problem: I take a count of a count, so that I end up with a list in this format: Table[Counts@Counts@Join[dKm[[i]], Pick[data1, ccKMedoid, i]], {i, 5}] ...
• 409
1 vote
46 views

### Putting a Count function for a matrix, in a loop

previously i had a doubt on how to assign different rows with certain values using a special function, which i later figured out by using the far more superior "DO" Loop. At present i have two ...
• 13
258 views

### Program that can count deficient numbers

Using Mathematica, I want to make program which can solve the following question. What is the number of deficient numbers less than 100? Please help me.
• 57
459 views

### count conditional items in list

I have a list of the form: {1,1, (1 if x>y, -1 if y>=x), -1} I want to count the number of 1's in the list. The output I'm looking for is something of the ...
• 343
107 views

### Finding percentage of points within tilted ellipse?

I am trying to find the number of data points that I have that are within a tilted ellipse that I have generated to represent the 68% confidence region. I generated some data using: ...
• 409
1 vote
92 views

### Using Count and Rotate left

Q. Use RotateLeft and Count to find the number of planets detected by each method, presenting the result in a list of the form {{D, n1}, {R, n2}, {T, n3}}. ...
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### Probability of empty urns for undistinguishable balls in distinguishable urns

Distinguishable balls in distinguishable urns is a well known problem in probability theory and can be easily simulated through Montecarlo simulations. Here we provide our code for n balls and m urns: ...
• 497
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### How to total the amount of zeros in a binary matrix

I have a 150 by 300 binary matrix. I would like to find the total amount of zeros in the matrix. I've been consulting online documentation for support, but am unable to use the "count" function ...
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