Theoretical results and techniques applied in practical settings.

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4
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3answers
525 views

When are binary trees better than hashtables in real world applications?

I am currently bushing up on my data structures and basic algorithms, part of that is the Binary Tree. I do understand the algorithms, and how to implement a binary search tree and such. I do so how ...
3
votes
0answers
32 views

Applications of min spanning trees

What are the significant applications of minimum spanning trees? After doing some research online and in several textbooks, I have found three real-world applications: Building a connected network. ...
5
votes
2answers
78 views

Choosing error rates for probabilistic algorithms

Probabilistic algorithms often have a parameter that allows one to tune the error rate, typically by running the algorithm repeatedly. This often gives an error rate of something like $2^{-k}$ for $k$ ...
1
vote
1answer
46 views

What are practical applications of AI Planning? [closed]

note: any tips toward making this more constructive will be highly appreciated. I've dealt with ai-related problems, from searching algorithms, to computer vision, to machine learning. However none ...
7
votes
3answers
927 views

Gödels (first) incompleteness Theorem and the Halting Problem - How limiting is it?

When I first heard of these things I was very fascinated as I thought it sets really a limit to mathematics and science in general. But how practically relevant are these things? For the Halting ...
1
vote
1answer
60 views

Logic applications and security protocols references request

I'm a student of logic and I'm interested in looking at logic applications, of which I am told there are many, in computer science and allied areas. I've seen some applications. More specifically, I ...
12
votes
9answers
892 views

Why is non-determinism useful concept?

An automaton is an abstract model of a digital computer. Digital computers are completely deterministic; their state at any time is uniquely predictable from the input and the initial state. When we ...
1
vote
2answers
92 views

Applications for boolean logic operations in zero-one integer linear programming (ILP) [closed]

It is nice to know that every boolean formula can be expressed by zero-one integer programming by this answered question. But are there any applications? To be more precise: Are there papers which ...
5
votes
2answers
235 views

The Absolute Minimum Every Software Developer Absolutely, Positively Must Know about Computer Science (No Excuses!) [closed]

Yes, I borrowed the title form a famous joelonsoftware post for my question because I didn't exactly know how to ask this. I'm a professional programmer for a few years now and although I followed ...
-1
votes
1answer
41 views

Is a non-perfect improvement and optimisation?

In real word problems, the influence of multiple not perfectly known factors results in using heuristics instead of mathemacial solutions that calculates a perfect value from only precisly defined ...
5
votes
2answers
98 views

Where are M-Trees applied in practice?

My similarity search seminar topic are M-trees. I would like to give some examples about where they are practically applied, but I can't find anything googling. Does someone know if M-trees are ...
10
votes
1answer
416 views

Encoding 1-out-of-n constraint for SAT solvers

I'm using a SAT solver to encode a problem, and as part of the SAT instance, I have boolean variables $x_1,x_2,\dots,x_n$ where it is intended that exactly one of these should be true and the rest ...
10
votes
3answers
2k views

Practical Applications of Radix Sort

Radix sort is theoretically very fast when you know that the keys are in a certain limited range, say $n$ values in the range $[0\dots n^k -1]$ for example. If $k<\lg n$ you just convert the ...
22
votes
6answers
3k views

What use are groups, monoids, and rings in database computations?

Why would a company like Twitter be interest in algebraic concepts like groups, monoids and rings. https://github.com/twitter/algebird All I could find is: Implementations of Monoids for ...
5
votes
4answers
2k views

Trigonometry in computer science

What's the use of studying trigonometry in computer science? I mean, is it essential? Does it have a specific application in computer science? Because I can't seem to muster enough motivation for ...
4
votes
2answers
134 views

What are some applications of binary finite fields in CS?

I was looking at details on finite fields. Finite binary fields, e.g. $\mathbb{F_2}$, are used in CS in some places such as circuit theory [1]. What are some key applications of finite fields in ...
10
votes
1answer
150 views

Natural occurrences of monads that make use of the category-theoretical framework

Today, a talk by Henning Kerstan ("Trace Semantics for Probabilistic Transition Systems") confronted me with category theory for the first time. He has built a theoretical framework for describing ...
25
votes
9answers
1k views

What is the significance of context-sensitive (Type 1) languages?

Seeing that in the Chomsky Hierarchy Type 3 languages can be recognised by a state machine with no external memory (i.e., a finite automaton), Type 2 by a state machine with a single stack (i.e. a ...