Problem Detail: How do you find the minimum hamming distance of a code? A naive way is computing the distance of each pair of codewords in our code. It becomes hard when the code is sufficiently large. Is there a formula Read More …
Category: Uncategorized
[Solved]: Random graph model
Problem Detail: When we say that in random graph we add an edge with a certain fixed probability, what do we actually mean? For example if probability is 0.5, does that mean that we can just add two edges in a Read More …
[Solved]: Connected Graph: Select the minimum number of nodes such that the node and neighbor covers everything
Problem Detail: The problem is to select the minimum number of nodes from a graph such that, the selected nodes and their neighbors consists of all the nodes of the graph. Any straight forward algorithm for this? Repeatedly selecting the node Read More …
[Solved]: What does $log^{O(1)}n$ mean?
Problem Detail: What does $log^{O(1)}n$ mean? I am aware of big-O notation, but this notation makes no sense to me. I can’t find anything about it either, because there is no way a search engine interprets this correctly. For a bit Read More …
[Solved]: PCA and Eigenvectors
Problem Detail: I am trying to understand how PCA works, and think I got most of it except… By calculating eigenvalues/vectors of the covariance matrix of the original dataset allows to find those dimensions where data is least correlated (lowest covariance). Read More …
[Solved]: Teaching Recursion
Problem Detail: I’m a teacher assistant in my university and my next topic is recursion. what way is the best to teach recursion so that the student can grasp the concept easily and can think recursively? I was thinking about explaining Read More …
[Solved]: Looking for books on creating and understanding theorems targeted at Computer Science
Problem Detail: In studying logic to understand verifying programs I have found that there are books on logic targeted at Computer Science e.g. Logic in Computer Science: Modelling and Reasoning about Systems Mathematical Logic for Computer Science Computability and Logic Handbook Read More …
[Solved]: Is linear-time reduction symmetric?
Problem Detail: By reduction I mean the following: Problem X linear reduces to problem Y if X can be solved with: a) Linear number of standard computational steps. b) Constant calls to subroutine for Y. If a problem X reduces to Read More …
[Solved]: How does a turing machine with doubly infinite tape simulate a normal-taped turing machine?
Problem Detail: The intuition is that on any input, we can write a symbol like $#$ on the left that tells the machine to not move past this symbol. However, I’m running into problems trying to show this using the formal Read More …
[Solved]: alphabet of a single tape turing machine that simulates a multitape TM
Problem Detail: First of all sorry, if this question already exists, in that case, pointing to the right direction will be appreciated. Secondly, sorry, if the question is below the expected level of Niveau, but all help appreciated. In the textbook Read More …
