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Published on 2010-04-27T03:38:50Z
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Indicates the Big-Theta g(n) for the function below and prove it (n^2 + 1)^10
I don not know how to prove it.
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What is the maximal acceptable asymptotic runtime of a general-purpose compiler?
For clarification: The complexity of compilation process itself, not of the compiled program. Depending on the program size, for instance, the number of source code characters, statements, variables, procedures, basic…
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Indicates the Big-Theta g(n) for the function below and prove it
(n^2 + 1)^10
I don not know how to prove it.
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Its a exercise that ask to indicate the class Big-Theta(g(n)) the functions belongs to and to prove the assertion.
In this case f(n) = (n^2+1)^10
By definition f(n) E Big-Theta(g(n)) <= c1*g(n) < f(n) < c2*g(n), where c1 and c2 are two constants.
I know that for this specific f(n) the…
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I have a performance issue where I suspect one standard C library function is taking too long and causing my entire system (suite of processes) to basically "hiccup". Sure enough if I comment out the library function call, the hiccup goes away. This prompted me to investigate what standard methods…
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Imagine you're in a tall building with a cat. The cat can survive a fall out of a low story window, but will die if thrown from a high floor. How can you figure out the longest drop that the cat can survive, using the least number of attempts?
Obviously, if you only have one cat, then you can only…
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Its a exercise that ask to indicate the class Big-Theta(g(n)) the functions belongs to and to prove the assertion.
In this case f(n) = (n^2+1)^10
By definition f(n) E Big-Theta(g(n)) <= c1*g(n) < f(n) < c2*g(n), where c1 and c2 are two constants.
I know that for this specific f(n) the…
>>> More
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Indicates the Big-Theta g(n) for the function below and prove it
(n^2 + 1)^10
I don not know how to prove it.
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I'm used to search for the Landau (Big O, Theta...) notation of my algorithms by hand to make sure they are as optimized as they can be, but when the functions are getting really big and complex, it's taking way too much time to do it by hand. it's also prone to human errors.
I spent some time on…
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I'm revising past midterms for a final exam this week and am trying to make sense of a solution my professor posted for one of past exams. (You can see the original pdf here, question #6).
I'm given the original recurrence relation T(m)=3T(n/2) + n and am told T(1) = 1.
I'm pretty sure the solution…
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Can some pls help with the solution
Use big-O notation to classify the traditional grade school algorithms for addition and multiplication. That is, if asked to add two numbers each having N digits, how many individual additions must be performed? If asked to multiply two N-digit numbers, how many…
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