isn't the double summation notation a little less confusing? Or at least worthwhile mentioning what is meant by \sum_ {i\neqj}?

sequences-and-series summation factorial Share Cite edited Jun 12, 2020 at 10:38

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The first chapter of Concrete Mathematics by Graham, Knuth, and Patashnik presents about seven different techniques for deriving this identity, so you might be interested to look at that.

How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression? For example here is the sum of $\cos$ series: $$\sum_ {k=0}^ {n-1}\cos (a+k \cdot d) =\frac {\sin (n …

I am learning statistics, and I'm doing some stuff with combinations. Some of the questions I have seen have answers which are equal to a sum of combinations. It made me wonder, is there a …

How do I calculate this sum in terms of 'n'? I know this is a harmonic progression, but I can't find how to calculate the summation of it. Also, is it an expansion of any mathematical function? 1 ...

The reason it is called 'summation by parts' is because of the fact it is the Discrete Calculus analog of Continuous Calculus's integration by parts: $$\int f'gdx=fg-\int fg'dx.$$ Finding the …

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What are the (most important) rules of double sums? Below are some rules I encountered - are they all correct and complete? Offerings of clear intuition or proofs (or other additions) are …