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Proof that T(n)=n(n+1)/2


We give three proofs here that the n-th Triangular number, 1+2+3+...+n is n(n+1)/2. The first is a visual one involving only the formula for the area of a rectangle. This is followed by two proofs using algebra.

Big-O Algorithm Complexity Cheat Sheet


Know Thy Complexities! Hi there! This webpage covers the space and time Big-O complexities of common algorithms used in Computer Science. When preparing for technical interviews in the past, I found myself spending hours crawling the internet putting together the best, average, and worst case...

Proving by induction: $2^n > n^3 $ for any natural number $n > 9$


Induction proof for expression $4^n > n^3$.

Math Forum - Ask Dr. Math


I started by taking the log to the base 2 of n^2 / 2^n and assuming that 2 log n - n < 0. I then wrote the inequality as n <= 2^(n/2) and used induction to convince myself that this last is true in general.

sum(n=1 to infty) (2^n)/((n-1)!) - Series Calculator - Symbolab



Network n+i - Study Engineering in France


Become an "EXTRA-ordinary" engineer. Cultivate your difference via an international training programme in France with Network ...



algorithm - Is log(n!) = Θ(n·log(n))? - Stack Overflow


Remember that. Log(n!) = log(1) + log(2) + ... + log(n-1) + log(n). You can get the upper bound by. Log(1) + log(2) + ... + log(n) <= log(n) + log(n) + ... + log(n) =. N*log(n). And you can get the lower bound by doing a similar thing after throwing away the first half of the sum: Log(1) + ... + log(n/2)...

N v2.0 Full Online Version


N is an action-arcade physics-based platformer featuring an acrobatic pacifist ninja with a thirst for gold. N v2.0 public beta is now open. We put the N in 'fun', you'll add the 'FU'.

n_N | N N | Free Listening on SoundCloud


Listen to n_N | SoundCloud is an audio platform that lets you listen to what you love and share the sounds you create.. 4 Tracks. 10 Followers. Stream Tracks and Playlists from n_N on your desktop or mobile device.


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