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- 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
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- 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
- products - How to show that $\prod_{i=1}^n a_i = \prod_{i=1}^{r} a_i . . .
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- algebra precalculus - expand the product $\prod_{i=1}^n(a_i+b_i . . .
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- 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
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