All Questions
Tagged with applications abstract-algebra
11
questions
116
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8
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36k
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Are there real world applications of finite group theory?
I would like to know whether there are examples where finite group theory can be directly applied to solve real world problems outside of mathematics. (Sufficiently applied mathematics such as ...
15
votes
4
answers
9k
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Real-world uses of Algebraic Structures
I am a Computer science student, and in discrete mathematics, I am learning about algebraic structures. In that I am having concepts like Group,semi-Groups etc...
Previously I studied Graphs. I ...
228
votes
11
answers
37k
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How do I sell out with abstract algebra?
My plan as an undergraduate was unequivocally to be a pure mathematician, working as an algebraist as a bigshot professor at a bigshot university. I'm graduating this month, and I didn't get into ...
21
votes
4
answers
4k
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Applications of Gröbner bases
I would like to present an application of Gröbner bases. The audience is a class of first year graduate students who are taking first year algebra.
Does anyone have suggestions on a specific ...
42
votes
11
answers
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what are the different applications of group theory in CS? [closed]
What are some applications of abstract algebra in computer science an undergraduate could begin exploring after a first course?
Gallian's text goes into Hamming distance, coding theory, etc., I ...
15
votes
2
answers
2k
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Abstract algebra book with real life applications
Is there an abstract algebra book that emphasizes the applications to "real world" problems?
Update: By real world, I mean mostly related to physics or other sciences. But references to coding theory ...
12
votes
3
answers
7k
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What are applications of rings & groups?
I am following a course in basic algebra, and we have covered rings & groups in class, but I am having trouble visualising them. Are there applications of group &/or ring theory that can be ...
6
votes
3
answers
5k
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Group theory applications along with a solved example
As I asked in previous question, I am very curious about applying Group theory. Still I have doubts about how I can apply group theory. I know about formal definitions and I can able to solve and ...
4
votes
4
answers
3k
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Applications of group theory to geometry
What are the applications of group theory to geometry? Where can I know more about these applications?
3
votes
1
answer
210
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Are there any sets other than the usual in which we can apply Sturm's axioms?
As we all know, Sturm's axioms have completely solved the problem for finding the number of roots in an arbitrary interval $[a,b]$, using the derivative and forms a Sturm set.
Now my question ...
2
votes
2
answers
361
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When do we use Tensor?
I'm carious to see applications of tensor product. Is there any set of things that if they happen or we encounter them then we use tensor product, tensor algebra, ...? I will be happy if it be ...