Jan 15, 2012 · I know it is not any cool notation, but maybe you can simply define a dummy set, one that satisfies all your conditions, and then, make the sum of wf on each element of this dummy set .

What does the math notation $\sum$ mean? My school's prescribed book uses the weird letter E character without explaining what it is in the first chapter when it talks about the binomial equation.

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 most welc...

Mar 21, 2020 · What is the difference between sum of two vectors and direct sum of two vector subspaces? My textbook is confusing about it. Any help would be appreciated.

Feb 25, 2015 · When we deal with summation notation, there are some useful computational shortcuts, e.g.: $$\\sum\\limits_{i=1}^{n} (2 + 3i) = \\sum\\limits_{i=1}^{n} 2 + \\sum ...

May 7, 2019 · The set theorist's notation is useful, because it does not invoke dummy variables. The idea is that $\sum$ should be a function of type $\mathscr {P} \mathbb {R} \to \mathbb {R}$ (or …

Oct 28, 2014 · As all summands are positive, we conclude that $\left (1+\frac1n\right)^n> (1-\epsilon)\sum_ {k=0}^m\frac1 {k!} $, hence $ (1-\epsilon)\sum_ {k=0}^\infty\frac1 {k!}\le\mathrm e$ for …

May 14, 2014 · But the inner product just come into my that it can be used to express the sum of all the product of the corresponding elements in two vectors. If one of the vector is identity vector, then the …

$\sum_ {i=m}^n a_i = a_m + a_ {m+1} + a_ {m+2} +\cdots+ a_ {n-1} + a_n.$ Where, i represents the index of summation; a_i is an indexed variable representing each successive term in the series; m is …

So what is the formula for finding: $$\sum_ {k=0}^n p_k=????,$$ with $p_k$ being the $k$th prime. Also if we have the sum of an even number of primes then would it be a new prime?