Questions tagged [sets]
For questions pertaining to sets in the set-theoretical sense. Use "assignment" for questions about the use of the Mathematica functions Set or SetDelayed.
13
questions with no upvoted or accepted answers
5
votes
0
answers
81
views
Looking for a package for finite mappings
I am looking for a package for dealing with "mappings" $f\colon A\to B$ where $A$ and $B$ are finite subsets of the set of all possible (inert) expressions.
I need operations like:
Computing $f(a)$ ...
- 5,739
3
votes
0
answers
66
views
Symbolic Set Difference
Suppose I have two symbolic set containing 2-points like
A={(m,n)| for m,n belonging to whole numbers}. So m,n=0,1,2,...
and I have another set containing 2-points ...
- 1,122
2
votes
0
answers
45
views
NextSetPartition
I'm looking for a function similar to the one in the question below, but for the more general problem of set partitions without restricting the set size.
NextKSizePartition, or how to partition a set ...
- 159
1
vote
0
answers
37
views
Is there a nice way to deal with sets in an abstract/symbolic way?
For instance, if I wanted to
declare $A$ to be the set of all finite subsets of $\mathbb{Z}$, and
declare $B$ to be a set comprising all finite subsets of $\mathbb{Z^{-}}$, and then
declare $C$ to be ...
- 763
1
vote
0
answers
52
views
How to preserve braces in result
I have a result from equation, for example
p={{0<=x<=1/5||x==9/10},{0<=x<=1/5||x==9/10}}
and using
Cases[p, z_?NumericQ -> z, Infinity]
I get
{0,1/5,9/10,0,1/5,9/10}
But I ...
- 93
1
vote
0
answers
63
views
Defining an abstract multiplication over finite indices
I would like to define a map (a "multiplication" denoted $\otimes$) over the finite set of symbols $G=\{a,b,c,d,e,f,g,h\}$. I would like to define several rules like
$$a \otimes b= \{b \} $$
$$a \...
1
vote
0
answers
50
views
Solving systems of logial and set theoretic propositions
I need to allocate a couple of dozen elements into different sets, respecting some boundary conditions, and was hoping Mathematica might somehow help.
A simple example:
The propositions being
a) a ...
- 143
0
votes
0
answers
54
views
Removing a set of original assumptions from the result of Reduce
I am having trouble using set operations when applying them to lists which cme from the Reduce function. As an example, here is a list of assumptions and an expression for which I would like to know ...
- 289
0
votes
0
answers
176
views
Global assumption non zero
I would like to define globally an assumption stating that I have a nonzero real vector $v$.
For now, I put :
$Assumptions = Element[v,Vectors[{100},Reals]]
but $v$ ...
- 592
0
votes
0
answers
204
views
How to perform delayed evaluation containing function with Mathematica
I was wondering whether there is a way in Mathematica to evaluate an expression in the most simple form, without any simplifying. For example if we define:
...
0
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0
answers
226
views
Mathematica complement of a region
I want to use Reduce Function to give me intersection of a region and complement of another region
The first region is:
...
- 11
0
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0
answers
110
views
0
votes
0
answers
210
views
Intersection between a discrete set and a continuous set
I have two sets:
$A=\{x| |x|<2\}, B=\{1,2,3\}$
and I know
A=Interval[{-2,2}]
B={1,2,3}
but
A \[Intersection] B
can ...
- 605