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Re: theta notation 11 Years Ago by deceptikon Theta notation is basically the same as Big O notation except … a tight bound (ie. upper and lower). More formally (where Theta is the tight bound, O is the upper bound, and… Omega is the lower bound): f(x) = Theta(g(x)) iff f(x) = Omega(g(x)) and f… Re: Time complexity of algorithm 13 Years Ago by AuburnMathTutor Theta means a "tight" bound in the sense that … of the order, then t(n) is by definition in Theta of that order. Hint: Let n -> infinity, as though… Re: Word Association Game 17 Years Ago by happygeek Theta - Jones Re: Theta Space Analysis 15 Years Ago by Rashakil Fol …hidden bytes of memory. But this doesn't affect the Theta-notation description of memory usage. (You can prove it…quot; memory usage, we've got Theta(1) + n * (Theta(1) + n * Theta(1)), which simplifies to Theta(n*n). ---- If I were …overhead on top of n * Theta(1) memory usage. So we have Theta(1) + n * (Theta(1) + n * Theta(1)), and that's the… Re: Theta Notation for algorithms question! 17 Years Ago by Rashakil Fol … many times (x = x + 1) was evaluated in terms of theta notation of n, I might try a few example values… of times it gets executed is Theta(n) times. (Saying Theta(2*n) or Theta(n + 1) or Theta(n/100) would also be… equivalent to Theta(n), since they're all… Re: Theta Complexity of the sum of all numbers below n 12 Years Ago by joehms22 …+ n/2 operations then its running time is Theta(n^2). As a general rule the polynomial a…say that your formula n*(n+1)/2 is Theta(n*(n+1)/2). This is never incorrect.… the idea is to simplify it, since Theta(n^2) = Theta(n*(n+1)/2).[/QUOTE] Thanks that clears…version of the algorithm I was building would have Theta(n*lg(n)), so I guess I'll… Re: Theta Complexity of the sum of all numbers below n 12 Years Ago by Rashakil Fol …^2/2 + n/2 operations then its running time is Theta(n^2). As a general rule the polynomial a*n…^k + b*n^(k-1) + ... + c*n^0 is Theta(n^k). In particular, (1/2)*(n^2) <= n…taking n to n^2/2 + n/2 is in Theta(n^2). Edit: You could also say that your formula… n*(n+1)/2 is Theta(n*(n+1)/2). This is never incorrect. Of … Theta Notation for algorithms question! 17 Years Ago by Serg_zone … the following two problems. I need to find out the theta notation or big O for the number of times x…; } [/code] I tried to work this thing out and got Theta(2^n!). I doubt that this is right though Here… = x + 1 [/code] I'm thinking that this one is Theta(n^3), but again i'm not so sure. Any… Re: Theta Notation for algorithms question! 17 Years Ago by Serg_zone … 1. In this case i have no idea what the theta notation is. O(n)? :rolleyes: For the 2nd one [CODE… Theta Complexity of the sum of all numbers below n 12 Years Ago by joehms22 …'t seem to figure out how to translate this to theta notation though. I think it is just [TEX… Re: Theta Complexity of the sum of all numbers below n 12 Years Ago by Taywin … bound is BigOmega(n). If you are talking about Big Theta of an average case, the value which is multiply with…;n^2" with "cn" in your Big Theta notation. Therefore, it is still n^2. Wait... If you… Re: Theta Complexity of the sum of all numbers below n 12 Years Ago by joehms22 … bound is BigOmega(n). If you are talking about Big Theta of an average case, the value which is multiply with…;n^2" with "cn" in your Big Theta notation. Therefore, it is still n^2. Wait... If you… Theta Space Analysis 15 Years Ago by DemonGal711 … with space analysis, that would be great. Find the best theta() for the worst case space required by the following sets… theta notation 11 Years Ago by nayna.kujur how to define theta notation nd show that 4n^2+3n is o(n^2) Re: Big theta 17 Years Ago by Rashakil Fol … to the interesting topic of what big O and big Theta notation really means. When you have multiple variables, it…grows linearly, not quadratically! Its growth would be described as Theta(n + k). But then there's _another_ way of …So, there is no such notion as "the big theta" for a particular algorithm. You need to ask yourself… Re: Big O, Theta and Omega confusion 11 Years Ago by sepp2k … statements "QuickSort's worst case is in Theta(n^2)" and "QuickSort's best…an upper bound, Omega a lower bound and Theta both. What this means is that "Foo…exponential will also be in Omega(n^2)). Theta(n^2) means it's exactly quadratic. That… is when something is quadratic, it's in Theta(n^2), but something that's linear, cubic… The difference between Big-oh and theta notation 17 Years Ago by arh …want to clarify the difference between bigO and theta notation. I know that bigO is the upperbound… time will be below. I know that theta has an upper and lower bound for this…are some questions: 1) Do big-oh and theta both represent the worstcase for the running time? 2…) How do I know when to use theta? I know it is better to use but… Re: The difference between Big-oh and theta notation 17 Years Ago by Narue >1) Do big-oh and theta both represent the worstcase for the running time? They represent whatever case you're analyzing. >2) How do I know when to use theta? Theta is when you can achieve it. It's a much stronger claim than Big O because it's a tighter bound. Big theta notation 15 Years Ago by efus Hi, I need to make a big-theta notation on an algoritm I made. The algoritm is soposed ….out.println(number); } } [/code] I figured the theta notation to this is: [tex]\theta (N) [/tex] The problem is now that i… need to express big theta as a function of of the length of N (the… Big O, Theta and Omega confusion 11 Years Ago by SeePlusPlus2 … an algorithm has a run time of Omega(nlgn) or Theta(n^2), etc. From what I can tell, Big O… to show the worst case(?) while Omega is best(?) and Theta is either(in between O and Omega?. I'm having… like : "*Show that the running time of QUICKSORT is Theta(n^2) when the array A contains distinct elements and… Re: Big O/ Big Theta notation 14 Years Ago by BestJewSinceJC …of the work (such as using the definition of theta to come up with the values that prove it…'s big theta) up to you. But these are just my thoughts…(x^r) = r loga(x) Then use your theta values after finding them to wrap it up. In fact… (if it is true and theta values can be found) you don't even need… Re: Big O, Theta and Omega confusion 11 Years Ago by sepp2k … to tell which notation to use (i.e. O or Theta or Omega)"? If you mean the latter: You should… notation that the assignment asks for. when in doubt, use Theta as its the most specific. If you mean the former… Big -Theta notation 18 Years Ago by melcee hi, can anyone help me understand the big theta notation so that i can be able to use it …to solve algorithmic problems? this is the question: Use big-theta notation to classify the traditional grade school algorithms for addition… Big theta 17 Years Ago by Mrclean8586 … I am doing this right, I am finding the big theta for algorithms I have two: #1 [code=c]int selectKth…][i] = tmp; } }[/code] Do these both have the same big theta? I see them as having N^2. Am I doing… big theta 13 Years Ago by niktik hey hi... i am stuck on how to find big theta for the given functions...i went thorough some of the previous posts but still can t find a way to deal with it... for example take the following function: 10n^2+4n+2 how do i find d big theta of dis... any help will be appreciated thanks Re: Big -Theta notation 18 Years Ago by hinde … you would have better luck getting information by describing Big-Theta notation as Big-O notation. Anyway, I cannot be of… Re: Big-Theta Problems!! HOW? 17 Years Ago by Rashakil Fol …? Do you understand it well enough to tell me, using theta notation, how long this algorithm takes to run? [code] for… Re: Big-Theta Problems!! HOW? 17 Years Ago by Rashakil Fol …? Yes? No? If yes, then do you know what big theta notation means? Yes? No? If yes, then do you know…? No? If yes, then can you express those bounds using theta notation? Yes? No? (Here, "No" might mean that… Re: Big-Theta Problems!! HOW? 17 Years Ago by Rashakil Fol … is between n and 2n-1, right? So, to find theta notation for this growth, we try to find some function….5*n, and less than 2*n. This means that Theta(n) would describe the number of addition operations, where n… Big-theta notation question. 18 Years Ago by Daishi … some unknown algorithm in a book that was explaining big theta/o/omega notation. I understand how it all works, but…