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Category: Uncategorized

[Solved]: Perfectly Secure Ciphers known other than the OTP

February 11, 2017March 27, 2017 ignougroup

Problem Detail: By Information-Theoretic definitions, the One Time Pad (OTP) is called/was proved to be a Perfectly Secure Cipher. For the sake of completeness, we define OTP: An enc/dec function, $f:mathcal{P} times mathcal{K} rightarrow mathcal{C}$ Perfect Security: Given $m, m^* in Read More …

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[Solved]: What is the difference between these terms?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: Between my textbook and various online sources (namely wikipedia), I’m very confused… can somebody clear up which words are synonymous and which mean different things? Many-to-one reduction Mapping reduction Turing reduction Cook reduction Karp reduction Polynomial-time many-to-one reduction Polynomial Read More …

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[Solved]: the height of a tree given n nodes and a condition

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I came across a question on which I got totally stuck 🙁 a sort of homework question) A weight-balanced tree is a binary tree in which for each node. The number of nodes in the left sub tree is Read More …

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[Solved]: Must a complete subgraph be induced?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: If we had some $K_n$ subgraph where $K_n subseteq G$, must the complete subgraph $K_n$ be an induced subgraph from $G$? In other words, can we create a situation where we remove vertices from a simple graph $G$ to Read More …

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[Solved]: Modelling a basic sequential circuit as a transition system?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I’m going through Dr Joost-Pieter Katoen’s slides and stumbled upon this: For some reason I can’t quite make out how the transition system relates to the sequential circuit. If I had a question for instance that asked me to Read More …

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[Solved]: Why is this argument for $Pneq NP$ wrong?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I know its silly, but i managed to confuse myself and i need help settling this Suppose $P=NP$, then clearly for every oracle $A$ we have $P^A=NP^A$ which contradicts the fact that there exists some oracle $A$ for which Read More …

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[Solved]: Is there a way to compute time without system clock

February 11, 2017March 27, 2017 ignougroup

Problem Detail: I was thinking about any method where we can use RAM I/O speed, to calculate time, let’s say for example: RAM transfer rate is 1000 MB/s, so when it’s half full (about 500 M Bytes written), by dividing 500 Read More …

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[Solved]: Why we need EEPROM in this micro-controller

February 11, 2017March 27, 2017 ignougroup

Problem Detail: PIC16F887 Block Diagram According to the block diagram above, since we already have Program Memory, which may be used to store our program, why should we still need EEPROM? What is it for? Asked By : AlbertK Answered By : frafl Read More …

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[Solved]: Why is the subset of palindromes of a regular language context-free?

February 11, 2017March 27, 2017 ignougroup

Problem Detail: Why is $A(L) = {x in L mid x = x^R }$ context-free if $L$ is a regular language? Trying to understand the approach to determining whether a regular language is context-free. Asked By : Iancovici Answered By : Ran G. Read More …

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[Solved]: Mathematical model on which current computers are built

February 11, 2017March 27, 2017 ignougroup

Problem Detail: It is said that “The Turing machine is not intended as practical computing technology, but rather as a hypothetical device representing a computing machine. Turing machines help computer scientists understand the limits of mechanical computation.” [Wikipedia] So on which Read More …

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