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What does the $\prod$ symbol mean? - Mathematics Stack Exchange 21 The symbol $\Pi$ is the pi-product It is like the summation symbol $\sum$ but rather than addition its operation is multiplication For example, $$ \prod_ {i=1}^5i=1\cdot2\cdot3\cdot4\cdot5=120 $$ The other symbol is the coproduct
prime numbers - Value of $\prod_ {p} \frac {p+1} {p}$? - Mathematics . . . What is the value of the product ∏p p+1 p ∏ p p + 1 p, where p p ranges over all primes? To clarify, when pn p n denotes the n n 'th prime, I am asking about the product ∏∞ n=1 pn+1 pn ∏ n = 1 ∞ p n + 1 p n It wouldn't surprise me if this already has been answered, but I have been unable to find that post, so if that is the case, please point me there
Is $\mathop {\Large\times}$ (\varprod) the same as $\prod$? At first I thought this was the same as taking a Cartesian product, but he used the usual $\prod$ symbol for that further down the page, so I am inclined to believe there is some difference Does anyone know what it is? This old SE question shows the symbol I am referring to, but sadly does not provide an explanation
Proving a result in infinite products: $\prod (1+a_n)$ converges (to a . . . Questions But from here I don't know if I am right, how to conclude and solve the converse part to say that we have a non zero limit, and another thing Can someone provide explicit examples of a sequence of complex numbers $\ {a_n\}$ such that $\sum a_n$ converges but $\prod (1+a_n)$ diverges and the other way around (This is $\prod (1+a_n)$ converges but $\sum a_n$ diverges )? Thanks a lot in
General formula for calculating $\\prod_i^n (1+a_i)$ $$\displaystyle\prod\limits_ {i=1}^ {n} \left (1+a_i\right) \,\, = \,\, \displaystyle\sum_ {S \,\subseteq \, \ {1,\, 2,\, 3,\, \dots\,,\, n\}} \,\,\,\left (\,\prod