o-notation

What are the Complexity guarantees of the standard containers?

Apparently ;-) the standard containers provide some form of guarantees. What type of guarantees and what exactly are the differences between the different types of container? Working from the SGI Page I have come up with this: Container Types: ================ Container: Forward Container Reverse Container Rando...

Big-O when the value of n gets very small?

I missed the class where big-O was introduced thinking that it was pretty straight forward. It still seems to be however the teacher said something about O(n) deviating from the function when n gets very small? I couldn't find this anywhere in the book. Could someone enlighten me? Our exploration of O(n) has been in the context of so...

algorithm for calculating the sum of value in the Array and Big O Notation

How to find an algorithm for calculating the sum value in the array?? Is is Something like this? Algorithm Array Sum Input: nonnegative integer N, and array A[1],A[2],...,A[N] Output: sum of the N integers in array A Algorith Body: j:=1 sum:=0 while j<N sum := sum + a[J] j:=j+1 end while end Algorithm Array Sum And how ...

Can anyone provide a basic example of O-notation in Java?

i am trying to find limitations of o notations, i was wondering if there was a simple example that demonstrates an enahncement to a task, where version 1 is the same o notation as version 2, yet version 2 works more efficiently after the enhancement thanks ...

Is there a shorthand term for O(n log n)?

We usually have a single word for most complexities we encounter in algorithmic analysis: O(1) == "constant" O(log n) == "logarithmic" O(n) == "linear" O(n^2) == "quadratic" O(n^3) == "cubic" O(2^n) == "exponential" We encounter algorithms with O(n log n) complexity with some regularity (think of all the algorithms dominated by sort ...

little oh notation as the limit of n goes to infinity

Hi all, I'm just trying to understand how in little o notation this is true: f(n)/g(n) as n goes to infinity = 0? Can someone explain that to me? I do get the idea that f(n) = o(g(n)) means that f(n) grows no faster then cg(n) for all constants c > 0. I just don't get the bit in bold above. ...

What is the computational complexity of the MapReduce overhead

Given that the complexity of the map and reduce tasks are O(map)=f(n) and O(reduce)=g(n) has anybody taken the time to write down how the Map/Reduce intrinsic operations (sorting, shuffling, sending data, etc.) increases the computational complexity? What is the overhead of the Map/Reduce orchestration? I know that this is a nonsense wh...

time, space complexity and O notation problem

Possible Duplicate: Plain English explanation of Big O I can't find any sufficient help for learn or understand about O-notation, and how learn about time or space complexity. So please suggest me , where can I start this. Its really need to me, for now these time.So please give me solution quick. Thanks a lot in advance. ...