What does the $\prod$ symbol mean? - Mathematics Stack Exchange 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
meaning - What does prod issues mean in computer science and software . . . "Prod" in this case is a common abbreviation for production A production system is one used to run an organisation's main servers or infrastructure A collection of systems that share a common purpose may be referred to collectively as an environment For example, a production environment might be made up of many production systems (servers)
notation - Which parentheses are implied by $\prod$? - Mathematics . . . No parentheses are needed either in cases like $$ \prod_{i\in I}\sum_{j\in J}a_{i,j} = \sum_{f:I\to J}\prod_{i\in I}a_{i,f(i)}, $$ in whose left hand side the summation is applied before multiplication, not because of precedence rules but because the order of the operators used leaves no room for another interpretation
General formula for $\\prod (x+a_i)$ - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
complex analysis - Does infinite product $ \prod ( 1 - \frac{1}{2^n . . . The infinite $\prod ( 1 - \frac{1}{2^n} )$ is convergent to a non-zero value because the series $\sum \frac{1}{2^n}$ converges and none of the factors is zero Your argument On the other hand, all the terms of the product are less than 1
algebra precalculus - expand the product $\prod_{i=1}^n(a_i+b_i . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
What is $\\prod_{k=1}^n (1-x^k)$? - Mathematics Stack Exchange I'd like to know what $$\prod_{k=1}^n (1-x^k)$$ evaluates to (assuming there is a simple closed form) and what it "is" in the context of commutative algebra (of which I knew little and recall less) I'm sure I've seen this in the past but don't know where to place it LaTeX search doesn't help