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
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
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
number theory - What is $\prod_ {p}\frac {p} { \sqrt {p^2 + 1 . . . You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later