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Author: ignougroup

Every simple undirected graph with more than $(n-1)(n-2)/2$ edges is connected

January 13, 2017 ignougroup

Question Detail: If a graph with $n$ vertices has more than $frac{(n-1)(n-2)}{2}$ edges then it is connected. I am a bit confused about this question, since I can always prove that for a graph to connected you need more than $|E|>n-1$ Read More …

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Why has research on genetic algorithms slowed?

January 13, 2017 ignougroup

Question Detail: While discussing some intro level topics today, including the use of genetic algorithms; I was told that research has really slowed in this field. The reason given was that most people are focusing on machine learning and data mining. Read More …

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Proving DOUBLE-SAT is NP-complete

January 13, 2017 ignougroup

Question Detail: The well known SAT problem is defined here for reference sake. The DOUBLE-SAT problem is defined as $qquad mathsf{DOUBLEtext{-}SAT} = {langlephirangle mid phi text{ has at least two satisfying assignments}}$ How do we prove it to be NP-complete? More Read More …

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Are Turing machines more powerful than pushdown automata?

January 13, 2017 ignougroup

Question Detail: I’ve came up with a result while reading some automata books, that Turing machines appear to be more powerful than pushdown automata. Since the tape of a Turing machine can always be made to behave like a stack, it’d Read More …

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Finding the max XOR of two numbers in an interval: can we do better than quadratic?

January 13, 2017March 15, 2018 ignougroup

Question Detail: Suppose we’re given two numbers $l$ and $r$ and that we want to find $max{(ioplus j)}$ for $lle i,,jle r$. The naïve algorithm simply checks all possible pairs; for instance in ruby we’d have: def max_xor(l, r) max = Read More …

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Understanding LEADING and TRAILING operations of an operator precedence grammar

January 13, 2017March 15, 2018 ignougroup

Question Detail: I want to understand what the LEADING and TRAILING of non-terminal in an operator precedence grammar physically mean. I am confused by the various definitions I have read on them. I understand that the LEADING of a non-terminal is Read More …

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Computing the longest common substring of two strings using suffix arrays

January 13, 2017March 15, 2018 ignougroup

Question Detail: After I learned how to build a suffix array in $O(N)$ complexity, I am interested in discovering the applications of the suffix arrays. One of these is finding the longest common substring between two strings, in $O(N)$ time. I Read More …

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Quicksort explained to kids

January 13, 2017March 15, 2018 ignougroup

Question Detail: Last year, I was reading a fantastic paper on “Quantum Mechanics for Kindergarden”. It was not easy paper. Now, I wonder how to explain quicksort in the simplest words possible. How can I prove (or at least handwave) that Read More …

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How to solve T(n) = T(n-1) + n^2?

January 13, 2017March 15, 2018 ignougroup

Question Detail: See title. I’m trying to apply the method from this question. What I have so far is this, but I don’t know how to proceed from here on: T(n) = T(n-1) + n2 T(n-1) = T(n-2) + (n-1)2 = Read More …

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Cognitive Computing vs Artificial Intelligence?

January 13, 2017March 15, 2018 ignougroup

Question Detail: Can anyone please tell me the difference between them? A brief definition of Cognitive Computing would appreciated. Also how does cognitive computing relate to neural networks? Asked By : OFR Best Answer from StackOverflow Question Source : http://cs.stackexchange.com/questions/37118 Answered By : OFR Read More …

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