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Author: ignougroup

[Solved]: How do calculators convert from decimal to fraction?

February 11, 2017 ignougroup

Problem Detail: Sorry if this question is either obvious or ignorant. I am a high school student with only the computer science knowledge I have taught myself. Calculators have a function that can convert numbers from decimal to fractional equivalents. For Read More …

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[Solved]: Infinite Memory

February 11, 2017March 27, 2017 ignougroup

Problem Detail: It seems to me that any problem whose solution requires finite memory can be emulated on a Finite State Machine . This would make those problems that can’t be solved by a Finite State Machine to require infinite memory Read More …

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[Solved]: Asymptotic equivalent of the recurrence T(n)=3⋅T(n/2)+n

February 11, 2017March 27, 2017 ignougroup

Problem Detail: The questions is to find the running time $T(n)$ of the following function: $$T(n)=3cdot T(n/2) + n tag{1}$$ I know how to solve it using Master theorem for Divide and Conquer but I am trying to solve it by Read More …

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[Solved]: How to find loop invariant from weakest precondition?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: Consider this code: Precondition: Postcondition: rv == i <==> ∃i, 0 ≤ i ≤ a.length-1, a[i] == key function Find(Array<int> a, int key) returns (int i) { i = a.length -1; while i ≥ 0 { if a[i] == Read More …

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[Solved]: Mergesort with $O(n^2 log n)$ runtime

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I have a task where i need to find a problem in which mergesort has to have a runtime of $O(n^2 log n)$. In our lecture we said that the runtime is $O(n log n)$ assuming that every comparison Read More …

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[Solved]: What is the effect of operating systems on execution speed?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I’m using a Raspberry Pi 2 which works with 900MHz. (Asked this question there and they think it belongs to cs) My question is: since it also runs an operating system in the background, I expect this would take Read More …

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[Solved]: MU0 instruction set

February 11, 2017March 27, 2017 ignougroup

Problem Detail: As i know the MU0 processor instruction format is as follows: so the opcode is 4 bit, can anyone explain why it has only 8 instructions, if it could have 16 instructions, 2^4 = 16 ?? Asked By : rainman Read More …

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[Solved]: Prove that regular languages and context-free languages aren’t closed under $Perm(L)$

February 11, 2017March 27, 2017 ignougroup

Problem Detail: Let the operation $$Perm(L) = { w | exists u in L text{ such that } u text{ is a permutation of } w }$$ Prove that both regular languages and CFLs aren’t closed under $Perm(L)$. I’ve tried to Read More …

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[Solved]: Seeking popular science book on bioinformatics or computational genomics

February 11, 2017March 27, 2017 ignougroup

Problem Detail: An intelligent 15-year-old I know is interested in both computer science and genetics. I told her that these fields make an excellent combination. I’d like to give her a book on bioinformatics or computational genomics. I’m looking for a Read More …

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[Solved]: Homomorphism erasing information

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I would be grateful if anyone could help me with the tricky exerciese *7.52 from Sipser’s Introduction to the Theory of Computation 3rd ed. I got stuck in proving that, if P is closed under nonerasing homomorphism (replacing all Read More …

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