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Author: ignougroup

How do computers remember where they store things?

January 14, 2017 ignougroup

Question Detail: When a computer stores a variable, when a program needs to get the variable’s value, how does the computer know where to look in memory for that variable’s value? Asked By : MCMastery Best Answer from StackOverflow Question Source : http://cs.stackexchange.com/questions/64578 Read More …

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CLRS 4.4-3 Height of recursion tree for T(N) = 4T(n/2 +2) + n

January 14, 2017 ignougroup

Question Detail: I’m having a hard time with the following question: Use a recursion tree to determine a good asymptotic upper bound on the recurrence $T(n) = 4T(n/2 + 2) + n$. Use the substitution method to verify your answer. This Read More …

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Calculating Floating point Operations Per Second(FLOPS) and Integer Operations Per Second(IOPS)

January 14, 2017 ignougroup

Question Detail: I am trying to learn some basic benchmarking. I have a loop in my Java program like, float a=6.5f; int b=3; for(long j=0; j<999999999; j++){ var = a*b+(a/b); }//end of for My processor takes around 0.431635 second to process Read More …

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Are there any problems that get easier as they increase in size?

January 14, 2017 ignougroup

Question Detail: This may be a ridiculous question, but is it possible to have a problem that actually gets easier as the inputs grow in size? I doubt any practical problems are like this, but maybe we can invent a degenerate Read More …

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If the speed of electrical charge hasn't changed, how have computers become faster?

January 14, 2017 ignougroup

Question Detail: Everyone knows computing speed has drastically increased since their invention, and it looks set to continue. But one thing is puzzling me: if you ran an electrical current through a material today, it would travel at the same speed Read More …

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In-place algorithm for interleaving an array

January 14, 2017 ignougroup

Question Detail: You are given an array of $2n$ elements $$a_1, a_2, dots, a_n, b_1, b_2, dots b_n$$ The task is to interleave the array, using an in-place algorithm such that the resulting array looks like $$b_1, a_1, b_2, a_2, dots Read More …

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Formalization of the shortest path algorithm to a linear program

January 14, 2017 ignougroup

Question Detail: I’m trying to understand a formalization of the shortest path algorithm to a linear programming problem: For a graph $G=(E,V)$, we defined $F(v)={e in E mid t(e)=v }$ and $B(v)={ e in E mid h(e)=v}$ where $t(e)$ is a Read More …

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Examples of context-free languages with a non-context-free complements

January 14, 2017 ignougroup

Question Detail: Context-free languages are not closed under complementation. In the lectures we have been given the same argument as here on Wikipedia. But this only shows that one of the three languages $A$, $B$, and $overline A cup overline B$ Read More …

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Proving L = {$ { a^{2^n} | n ge 0 } $} is not regular by use of Pumping Lemma

January 14, 2017March 15, 2018 ignougroup

Question Detail: I’ve been struggling with this problem for quite a while now and every explanation I have managed to find doesn’t seem to correctly solve it. We have the language L = {$ { a^{2^n} | n ge 0 } Read More …

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Retrieving the shortest path of a dynamic graph

January 14, 2017March 15, 2018 ignougroup

Question Detail: I’m studying shortest paths in directed graphs currently. There are many efficient algorithms for finding the shortest path in a network, like dijkstra’s or bellman-ford’s. But what if the graph is dynamic? By saying dynamic I mean that we Read More …

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