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Firstly, let's suppose there exists an algorithm where $i$ iterates from $1$ to $n$, spending $\frac{n^2}{i}$ time in each iteration.
Thanks to the well known $O(\log n)$ upper bound for the Harmonic series, the big $O$ notation of this algorithm comes to $O(n^2 \log n)$.
Now the actual algorithm that I am working on i... |
A few years ago I participated in German highschool computer science competition. One of the problems was this (slightly abbreviated):
A somewhat unusual electronic lock consists of $n$ switches than can be turned on ($1$) or off ($0$). For economic reasons only $k$ of these switches are actually connected to the loc... |
Is it true that the heaviest edge in a directed graph can not be in the MST of that graph?
I don't think it is true because we might end up with a heaviest edge that is not part of a cycle.
Can anyone confirm?
|
Assume there exists some algorithm that solves vertex cover problem in time polynomial in terms of $n$ and exponential for $k$ with the run time that looks like this $O(k^2 55^k n^3)$. Can we claim that independent set can also be solved in time polynomial in terms of $n$ and exponential in terms of $k$ ? ($k$ here sta... |
It's probably possible to prove that P ≠ NP, that one-way functions exist, and that parity games cannot be solved in polynomial time (yes, I've been reading through this list), but how would we go about proving any of those things? Have there been any proofs to any computer science theories, or answers to any substanti... |
Using the following relations:
consultant(id,Name,Skill)
CustomerCompany(Id,name Address, Phone, Email, WebAddr,Market)
project(id,StartDate,EndDate,ConsultantID,CustomerId,Days)
Invoice(id,Date,Customer,Amount,Status)
Im trying to work out the following scenario using SQL and Relational algebra
Find the names of ... |
EDIT: This question is different from the other in a sense that unlike it this one goes into specifics and is intended to solve the problem. In the previous post, the only answer was a hint. In this post, the answer is a proper solution.
Is there a way to "polynomialy" reduce the problem of finding graph wheel $W_{n}$... |
I was asked this question at an interview, and couldn't answer it, and would like to know how it is 'shown' that two Turing machines which accept the same language is undecidable. This is not a homework question!
|
I've been reading some formal language theory papers, and I've come across a term that I don't understand.
The paper will often refer to a set being "effectively closed under intersection" or other operations. What does "effectively" mean here? How does this differ from normal closure?
For reference, the paper I'm seei... |
I want to know which is the best way to find the longest common subsequence of two strings
|
I urgently need a language which can be recognised by 2 PDA's but not with 1 PDA.
|
A lot of articles say that hash tree traversal cost to any randomly chosen leaf is $\mathcal{O}(\log_2 N)$ ($N$ is a number of leafs) and that is right. If we have a tree of 8 leafs it will take us at most 3 operations to get to any leaf, if we have a tree of 64 leafs it will take us at most 5 operations etc.
But lets ... |
Consider formal language $L$ over finite alphabet $\Sigma$ consisting of all words over $\Sigma$ that have non-trivial period (non empty prefix that is also a suffix). Is $L$ always context free?
Maybe pumping lemma will do? I was advised to try with a word $a^Nb^Na^Nb^N$ but if I pump only second block of $a$ then t... |
Given a directed weighted graph $D = (V, A, w)$ with weight function $w \colon A \to [0,\infty)$ and a source vertex $s$. How can I find, for each vertex $v \in V$ a shortest (with respect to $w$) cycle that contains both $v$ and $s$ (it is allowed to repeat the same arc in a cycle).
|
Does there exist a cellular automaton (in 2D) which simulates a $1/r$ force between particles?
More specifically, I would like to know whether it is possible, with strictly local update rules, to have two objects (defined within the model) attract each other with a $1/r$ force, where $r$ is the distance separating the ... |
So I've been trying to crack this for a long time and almost feel like I am going in loops about this question.
Given the following NFA:
Using the GNFA algorithm get the regular expression.
I understand that you would have the following for the first step(adding empty states):
The next step would be removing the stat... |
So, I know that the halting problem is undecidable for Turing machines. The trick is that TMs can decide recursive languages, and can accept Recursively Enumerable (RE) languages.
I'm wondering, is there a more limited model of computation which accepts only recursive languages, and not RE? And if so, is there such a m... |
I am investigating PAC learning (computational learning theory) as a beginner with no previous knowledge of machine learning / AI. I am investigating the model mainly from a historical point of view.
For this, the most important things are of course the results based on the model. There are enough papers out there that... |
Here I have a Turing Machine (sorry for awful drawing):
So, I have a question regarding the usage of a here. It is treated as a variable here. But since it doesn't alter input tape in any way, shouldn't it be stored in an implicit storage? My question is if this implicit storage (tell me if I am wrong) is in conflict ... |
I have an expression $$Ax+By+Cz.$$ where $A$, $B$ and $C$ are positive constants $\ge1$. The variables $x$, $y$ and $z$ are non-negative integers. I am also given a number $T$.
I want to find the largest integer value such that it is less than $T$ and not satisfied by $Ax+By+Cz$, how can I do it without using brute fo... |
In the following two threads I specified the question in the wrong way (easier to solve that way).
Proving that finding wheel subgraphs is NP-complete
Reducing from Hamiltonian Cycle problem to the Graph Wheel problem
My sincere apologies.. I hope moderators will let me post this final version of the question.
In real... |
We are given a graph $G=(V,E)$ with positive edge weights $w_{i}$ and numerical {0,1,-1} labels $l$ for all vertices . We know that $G$ has a subset $G'$ with all vertices labeled 0. The problem is to assign labels to the vertices in $G'$ in such way that this sum is maximized $\sum_{e_{u,v}\in E} w_{i}l_ul_v.$ The que... |
My task is to give proof, the Vertex-Cover problem is NP-complete, assuming it's already shown that the Stable-Set problem is NP-complete, too.
My approach: i know, Stable-Set is NP-complete, and all Problems that are NP-complete can be reduced to each other. If i could solve one NP-complete problem, i might be able to... |
$A \times B$ is an r.e. set, I want to show that $A$ (or $B$) is r.e.
|
Me and my friends are studying for an upcoming test and this exercise is one of the harder ones for us.
We have been trying to solve it and we have been looking at similar exercises, the problem is that the explanations are too complicated for us to understand. Keep in mind we just started with this.
So, my question ... |
Is it known whether the implication $\mathsf{NEXP} = \Sigma_2 \implies \mathsf{NEXP} = \mathsf{MA}$ holds?
(The question is inspired by well-known $\mathsf{NEXP} \subseteq \mathsf{P/poly} \Leftrightarrow \mathsf{NEXP} = \mathsf{MA}$.)
|
I have this confusion related to the time complexity of the algorithm solving the knapsack problem using dynamic programming
I didn't get how the time complexity of the algorithm came out to be $O(nV^*)$
|
I have an expression $$Ax+By+Cz.$$ where $A$, $B$ and $C$ are positive constants $\ge1$. The variables $x$, $y$ and $z$ are non-negative integers. I am also given a number $T$.
I want to find the largest integer value such that it is less than $T$ and not satisfied by $Ax+By+Cz$, how can I do it without using brute fo... |
You’re doing some stress-testing on various models of glass jars to determine the height from which they can be dropped and still not break. The setup for this experiment, on a particular type of jar, is as follows. You have a ladder with $n$ rungs, and you want to find the highest rung from which you can drop a copy o... |
Given a Bayesian Network $N$, one can build a junction/joint tree $JT$ over $N$ by applying series of steps (namely, moralisation,triangulation..etc). Then we can use $JT$ to answer queries over $N$.
My question is: what makes BN decomposable into $JT$? The structure (along with the CPTs) must exhibit certain condition... |
I am not sure whether this is the right place to ask this question.
I would like to write a register machine code which when given an input of n in register
1, returns (also in register 1) the nth Fibonacci number. The Fibonacci numbers are
0 (the 0th), 1 (the 1st), 1 = 0 + 1 (the 2nd), etc.
I tried to write few lines... |
I am reading Operating Systems by William Stallings 6th edition and I came across this text,
Program execution:
A number of steps need to be performed to execute a
program. Instructions and data must be loaded into main memory, I/O devices
and files must be initialized, and other resources.
Now I am unable to understa... |
I have seen a lot of explanations of what Bayesian networks are, but I simply cannot wrap my head around their use in code. So here is my three part question.
Am I right in my definition of Bayes nets? Bayesian networks are a way to (visually) portray how variables/events are linked and how they will affect each othe... |
suppose we don't know that Halting problem is not recursive.
I want to prove that complement of halting set is not r.e. then we can find halting problem is not recursive.
Can you direct prove that complement of halting set is not r.e.??
|
I have two algorithms
Algorithm 1:
if( Condition1(input)==true )
print(input);
else
loop forever;
Algorithm 2:
if( Condition2(input)==true )
print(input);
else
loop forever;
for any arbitrary fully-computable conditions 1 and 2.
We know both of these algorithms are partially computable.
I want to write a ... |
I am trying to solve a problem of finding incompatible jobs set using greedy algorithm. However, I am not sure if greedy algorithm can solve this problem or I need to perform another approach.
I have a set of jobs with start and finish time and I want to find the smallest subset of this jobs such that all the jobs are ... |
I have some confusion related to calculating the time complexity of this algorithm
opt(i)
for j=i:n
a = f(i,j) + opt(j+1)
end
How is the running time of this algorithm $O(n^2)$?
|
I am converting NFA with $\varepsilon$-moves to the NFA without $\varepsilon$-null moves. I understand that if, there is a $\varepsilon$-move between, $q_i$ and $q_j$, then all edges from $q_j$ have to be repeated from $q_i$. And if the $q_j$ is a final state, then $q_i$ will also be a final state.
But, if $q_j$ does... |
There are definitions of Absolute, Strong and Weak Fairness available across the internet, but I cannot find a definition of "K-Fairness" property for critical section algorithms (also algorithms that satisfy a 1-fairness or 3-fairness property). Does this actually exist or is this something that was made up to describ... |
I saw a proof by Saeed Amiri,
We will add one extra vertex v to the graph G and we make new graph G′, such that v is connected to the all other vertices of G. G has a Hamiltonian cycle if and only if G′ has a Wn+1. It is easy to check that if G has a Hamiltonian cycle then G′ has a Wn+1 wheel (just set v as a center). ... |
I have talked to my friend and he said this is the only place somebody could know how to solve it. It is the only exercise(from around 80) from exam revise I just do not know how to do at all.
Create pushdown automation for
{w: #a(w) >= 2#b(w)}; and simulate it for the word ababaaa
# means number
Does any one of you is... |
I have talked to my friend and he said this is the only place somebody could know how to solve it. It is the only exercise(from around 80) from exam revise I just do not know how to do at all.
Create pushdown automation for
{w: #a(w) >= 2#b(w)}; and simulate it for the word ababaaa
# means number
Does any one of you is... |
Where can I find a proof of this? Thanks!
|
I am trying to solve a problem of finding compatible jobs set using greedy algorithm. However, I am not sure if greedy algorithm can solve this problem or I need to perform another approach.
I have a set of jobs with start and finish time and I want to find the smallest subset of this jobs such that all the jobs are in... |
I have been using Harwell Boeing format, also known as Compressed Column Strorage (CCS) in order to store Sparse Matrices.
Could you please suggest me some other way to store/represent sparse matrices?
|
Hi I've read this lemma in my book:
Lemma 2.1. Let $p(n) = \sum_{i=0}^{k} a_in^i$ denote any polynomial and assume $a_k > 0$. Then $p(n) \in \Theta(n^k)$
Proof. It suffices to show that $p(n) \in O(n^k)$ and $p(n) \in \Omega(n^k)$. First observe that for $n > 0$,
$$p(n) \leq \sum_{i=0}^{k} |a_i|n^i \leq n^k \sum_{i... |
I have a function which takes 22 real-valued parameters as input that returns a real value. The function is reasonably fast for low return values (ms/seconds/minutes), but takes much longer (minutes/hours) to compute for high/optimal values. The noise will also increase with higher values.
I expect the function to cont... |
In the Hopcroft-Karp algorithm for bipartite matching, I don't understand the purpose of the breadth first search. I think it's used to find a set of vertex disjoint augmenting paths, but I'm not sure what the significance of that is or even what that means. Why do the augmenting paths have to be the shortest? And w... |
The MAX k-SAT problem is:
“Given a set of clauses C1,…,Ck, each of length k, over a set of
variables x1,…,xn, find a truth assignment that satisfies as many of
the clauses as possible.”
I'm trying for find a randomized 0.999-approximation algorithm for the MAX 10-SAT problem. Help :(
|
Given a directed graph with the following attributes: - a chain from node $a$ to node $z$ passing nodes $b$ to $y$ exists and is unidirectional. - additionally a set of nodes having bidirectional vertices to at least two of the nodes $a \ldots z$ exists. These nodes are connected in a second unidirectional chain.
(the... |
Given two strings $x$ and $y$ over the alphabet $\{A,C,G,T\}$, I'm trying to determine a shortest string $z$ such that $z$ is a subsequence of $x$ and not a subsequence of $y$.
Example: a shortest string that is a subsequence of AATGAAC but not a subsequence of ATCGATC is AAG.
|
Consider the following Google Code Jam round 1C question:
The Great Wall of China starts out as an infinite line, where the height at all locations is $0$.
Some number of tribes $N$, $N \le 1000$, will attack the wall the wall according to the following parameters - a start day, $D$, a start strength $S$, a start west-... |
So basically L satisfies the conditions of the pumping lemma for CFL's but is not a CFL (that is possible according to the definition of the lemma).
|
There is a famous Consensus Problem in Distributed Computing.
Let's consider and try to find the best possible algorithm for a simplified version of the consensus problem.
Assumptions: a process may undergo only crash failure (process abruptly stops and does not resume), process represent a complete graph.
Simplificat... |
Given three strings $x$, $y$, and $z$ over an arbitrary finite alphabet, I need to determine their longest common subsequence (LCS).
Example: A longest common subsequence of bandana, cabana, and magazine is aan.
I'm trying to find an algorithm which uses $O(|x|\cdot |y| \cdot |z|)$ space where $|s|$ denotes the length ... |
In Coq, you can use two different kinds of keywords to do definitions--Inductive and Definition. I do not understand the difference between an inductive and a definition, or when it is appropriate to use one instead of the other.
Could someone with experience in Coq please shed some light on this, or provide a referen... |
I'm trying to find an efficient method of detecting whether a given graph G has two different minimal spanning trees. I'm also trying to find a method to check whether it has 3 different minimal spanning trees. The naive solution that I've though about is running Kruskal's algorithm once and finding the total weight of... |
The wikipedia article about primitive recursion states that
An equivalent definition states that a partial recursive function is one that can be computed by a Turing machine.
My question is how one can write down formally this definition?
|
I've designed a few databases in my time, and on more than one occasion the drive to abstract common elements from specific tables has led me to create generic top-level tables which contain those common elements. For example:
Table Column Column
Hamburgers Item Topping
Cheeseburger ... |
This question stems from a few answers and comments on a question I posted in signal processing found here.
I guess I am a little confused. Are there any concrete differences between realtime software/hardware and just a regular PC?
I would try to list what I think the differences are but the list I have come up with ... |
I am trying to (intuitively) understand the two terms "decidability" and "verifiability".
I have done a reasonable amount of searching and going through the various texts I can put my hands on. However, their intuitive understanding seems to escape me, specially for the second one.
Out of the many definitions found, th... |
If I am correct, chips cannot get much smaller because of Heisenberg's uncertainty principle. My friend and I want to perform an experiment (which is cheap, i.e. doesn't require million-dollar equipment) which shows that if a chip is too small, it will mess up. Is there any such experiment?
|
I wonder how it's possible that:
it can be shown that all reasonable choices of programming
languages lead to quantification of the amount of absolute information in
individual objects that is invariant up to an additive constant.
from the Preface to the First Edition, An Introduction to Kolmogorov Complexity ... |
I am having trouble trying to formulate a simple proof. I can clearly see that what I am trying to prove is correct but to prove it I am not sure what to do.
The problem is a broadcasting problem on a graph. My graph contains two cycles. The two cycles are joined by a single vertex $v$. If the vertex $v$ contains some ... |
This is more of an open-ended information question, but to make it concrete, here's an example problem I have thought up:
Consider an $N\times N$ grid, $N$ odd, and consider that a single chunk of rare, valuable metal, lies buried under one of the unit squares with uniform probability.
An agent, $X$, starts at the cent... |
What I want to do is turn a math problem I have into a boolean satisfiability problem (SAT) and then solve it using a SAT Solver. I wonder if someone knows a manual, guide or anything that will help me convert my problem to a SAT instance.
Also, I want to solve this in a better than exponential time. I hope a SAT Solv... |
So, I have a book here, which has an example for context sensitive grammar, and the grammar is the famous $0^n1^n2^n$ , and it has:
$$ \begin{align}
S &\rightarrow 0BS2 \mid 012 \\
B0 &\rightarrow 0B \\
B1 &\rightarrow 11 \\
\end{align} $$
I agree that the above works, but what is wrong with just saying:
$S\rightarrow... |
This is something I've been wondering for years. Software like Mathematica is great at manipulating expressions into simplified, factorized, and other forms. I'm wondering if there's a way, theoretically and/or practically, to find the form that has the fewest operations. The next step would be to prefer operations tha... |
For example, if n=14, the output should be 10; n=22, the output should be 30=10+20; n=102, output=(10+...+100)+101+102=5703
In this problem, n is smaller than $10^{18}$ , and the algorithm should finish within 1 second.
|
Is it proper to view conditional probabilities, such as the forms:
P(a|c)
P(a|c,d)
P(a, b|c, d)
...and so forth, as being tensors?
If so, does anyone know of a decent introductory text (online tutorial, workshop paper, book, etc) which develops tensors in that sense for computer scientists/machine learning practitioner... |
I have an integer linear program (ILP) with some variables $x_i$ that are intended to represent boolean values. The $x_i$'s are constrained to be integers and to hold either 0 or 1 ($0 \le x_i \le 1$).
I want to express boolean operations on these 0/1-valued variables, using linear constraints. How can I do this?
Mor... |
What i actually want to do is to turn a math problem ,i have to solve,to a Boolean Satisfiability problem and solve it using a SAT Solver.
I wonder if someone knows any manual,guide or anything that will help me to make my problem solve using a SAT Solver.From what i found so far,SAT Solver's do not have any good docum... |
Can someone explain me how to find if these formulas are equivalent with Kripke structures?
AG(Fp or Fq) , A(GFp or GFq)
AGF(p and q) , A(GFp and GFq)
AFG(p and q) , A(FGp and FGq)
Thank you in advance for your help :)
|
I have recently been asked in an interview to devise an algorithm that divides a set of points in a coordinate system so that half of the points lie on one side of the line, and the rest on the other side.
The points are unevenly placed and the line must not pass through any of the points.
Can any one give any approach... |
I have a question about the structure of the complexity class $APX$. Obviously, unless $P=NP$, no problem in the class $PTAS$ can be $APX$-complete (under the AP-reduction). However, what about the rest of problems in $APX$? Are there any problems known that are in $APX$, do not have a $PTAS$ (unless $P=NP$) and at the... |
I'm taking a grad level randomized algorithms course in the fall. The professor is known for being very detail oriented and mathematically rigorous, so I will be required to have an in-depth understanding of probability. What would be a good probability book to learn from that would be intuitive, but also have some mat... |
Let $G = (V,E)$ be a directed graph with a weight function $w$ such that there are no negative-weight cycles, and let $v \in V$ be a vertex such that there is a path from $v$ to every other vertex. Let $f : V \to \mathbb R$ be a given function. Describe an algorithm that runs in $O(|V| + |E|)$ time that answers yes/no... |
Can someone suggest an algorithm to solve job assignment problem with condition?
With condition means that some jobs cannot be done by some workers. For example table as shown below:
In this table x - means that it is impossible to do. For example, worker 1 cannot do jobs 1,3 and 5.
I encountered such situation and th... |
I've ran some tests and found that Shellsort runs much faster on ordered and reversed lists compared to random lists and almost ordered lists.
Results:
Random Reverse Order AlmostOrder
time 24 5 4 29
The problem that is confusing me is that Shellsort performs insertion sorts on lists sepa... |
We have some programs in a very basic imperative language, the programs contain some basic features: assignment, condition, loop, scalar variables, 1-dimensional arrays and 2-dimensional arrays... Note that a variable or an array may not be initialized (or already hold a value before the execution of a program).
My que... |
I wrote a program which implements Bellman-Ford, and identifies when negative weight cycles are present in a graph. However what I'm actually interested in, is given some starting vertex and a graph, which path do I actually trace to get to the original vertex having traveled a negative amount.
So to be clear say I ha... |
I want to know what is algorithm and time complexity of Hanoi tower with forbidden direct move from source to destination (it means you cannot move disk from source to destination directly and you instead of that should first move disk from source to middle and then from middle to destination) and other rules as normal... |
I was wondering. May the source and sink have in-out going edges in a flow-network, and if so - does Ford-Fulkerson and the max-flow min-cut theorem apply ?
Flow-networks are always pictures with no edges entering source, and no edges leaving sink.
I've tried to search the web for an answer, but did not come across an ... |
As a continuation of my previous question i will try to explain my problem and how i am trying to convert my algorithm to a problem that can be expressed in a CNF form.
Problem: Find all stable sets of an argumentation framework according to Dung's proposed framework.
Brief theory: Having an argumentation framework AF,... |
I'm a Computer Science student and am currently enrolled in System Simulation & Modelling course. It involves dealing with everyday systems around us and simulating them in different scenarios by generating random numbers in different distributional curves, like IID, Gaussian etc. for instance. I've been working on the... |
I was wondering when languages which contained the same number of instances of two substrings would be regular. I know that the language containing equal number of 1s and 0s is not regular, but is a language such as $L$, where $L$ = $\{ w \mid$ number of instances of the substring "001" equals the number of instances o... |
This might be a bit of an abstruse question, but it's something I've been trying to prove.
I'm trying to show that it is undecidable whether a given Turing Machine is a member of the set of all Turing Machines that either always halt, or have non-halting loops where all of which can be detected (a positive decision mad... |
I am trying to estimate the graph in very high dimensional data, I mean with million nodes. Up to now all the papers that I have found, they are limited to few thousands.
All of them like graphical lasso, non parnormal, they use the estimated covariance matrix and then use the gaussian likelihood function which they op... |
Some authors define $\Omega$ in a slightly different way: let’s use
$ \overset{\infty}{\Omega}$
(read “omega infinity”) for this alternative definition. We say that $f(n) = \overset{\infty}{\Omega}(g(n))$
if there exists a positive constant $c$ such that $f(n) \geq c\cdot g(n) \geq 0$ for infinitely many integers $n... |
Is the following problem NP-complete? (I assume yes).
Input: $k \in \mathbb{N},G=(V,E)$ an undirected graph where the edge set can be decomposed into two edge-disjoint simple cycles (these are not a part of the input).
Question: Is there a simple cycle in $G$ with length greater than $k$?
Obviously the problem is in ... |
The rules I am considering are $\frac{\neg A, \ \Gamma \implies \Delta}{\Gamma \implies \Delta, \ A} (\neg L)$ and $\frac{\Gamma \implies \Delta, \ \neg A}{A, \ \Gamma \implies \Delta} (\neg R)$
I am trying to get my head around some of the sequent calculus rules, and while I think I understand most of them, I am strug... |
Let G be a directed graph with non-negative weights. We call a path between two vertices an "odd path" if its weight is odd.
We are looking for an algorithm for finding the weight of the shortest odd path between any two vertices in the graph.
If possible, describe one algorithm that is reduction-based (that is, make s... |
So I'm learning about distributed computing, and I do understand a lot of the prerequisite material on algorithms and automata and whatnot... but I'm curious about the definitions I'm seeing as I read my textbook.
A system consists of $n$ processors $p_{0},\dots,p_{n-1}$, where $i$ is the index of the processor $p_i$.... |
$$T(n) = 2T(n/2) + \Theta(n), n > 1$$
$$T(n) = \Theta (1), n \le 1$$
$$G(n) = G(\lfloor n/2 \rfloor) + G (\lceil n/2 \rceil) + \Theta(n), n > 1$$
$$G(n) = \Theta (1), n \le 1$$
Prove $T(n)$ and $G(n)$ have the same asymtotic running time.
I tried using the sandwich theorem but got nowhere. Please be really explicit and... |
I have recently learned about various randomized algorithms for load balancing. The model is always that there are $m$ balls and $n$ bins and the balls arrive one at a time. The task is to minimize the maximum load of any bin. However there is something I don't understand.
Why not just keep a priority queue of the loa... |
Can the set of states Q be empty by definition?
I was wondering about this question when doing exercises in the pumping lemma for finite automaton.
|
If A many-one reduces to B, does the complement of A many-one reduce to the complement of B? My gut says no but I am having a hard time finding a counterexample.
|
Image on the top is in the time domain, image on the bottom is in the frequency domain.
Why do we see -2T and 2T on image of the time domain and why do we see -1/2T and 1/2T of the image in the frequency domain?
|
There is a greedy algorithm for finding minimum vertex cover of a tree which uses DFS traversal.
For each leaf of the tree, select its parent (i.e. its parent is in minimum vertex cover).
For each internal node:
if any of its children is not selected, then select this node.
How do I prove that this greedy strategy g... |
Exactly as stated in the subject. I look for grammar which use letters $a, b ,c$ that numbers of letters $c$ is greater than number of letters $b$.
Example: $acbccba$ is generated by the grammar.
I thought about:
$S \rightarrow aS \mid bS \mid SCS$
$ C \rightarrow cb \mid ca$
but not sure if it works. Could you help me... |
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