query: Discrete sums are to integrals as discrete products are to ___.
positive_passages.docid: 102188
positive_passages.text: Addition is to Integration as Multiplication is to ______
negative_passages.docid: 6161
negative_passages.text: The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable
negative_passages.docid: 20174
negative_passages.text: Discrete mathematics bit strings
negative_passages.docid: 151308
negative_passages.text: Is it possible to turn infinite sums into infinite products?
negative_passages.docid: 114277
negative_passages.text: Proving in Discrete Structures Problem that $2^N = \binom{N}{0} + \binom{N}{1} + \binom{N}{2} + \dots + \binom{N}{N}$
negative_passages.docid: 96585
negative_passages.text: Sums and permutation
negative_passages.docid: 134007
negative_passages.text: Borel-Cantelli-related exercise: Show that $\sum_{n=1}^{\infty} p_n < 1 \implies \prod_{n=1}^{\infty} (1-p_n) \geq 1- S$.
negative_passages.docid: 103347
negative_passages.text: combinatorial proof of summation
negative_passages.docid: 24561
negative_passages.text: $\mathbb S_n$ as semidirect product
negative_passages.docid: 80671
negative_passages.text: Product of sums of square is a sum of squares.
negative_passages.docid: 155479
negative_passages.text: Summation of inner products
negative_passages.docid: 134721
negative_passages.text: A method for evaluating sums/discrete functions by assuming they can be made continuous and differentiable?
negative_passages.docid: 77412
negative_passages.text: Product of $\min$ and $\max$ of $n$ i.i.d. random variables.
negative_passages.docid: 1125
negative_passages.text: Inductive proof that ${2n\choose n}=\sum{n\choose i}^2.$
negative_passages.docid: 150092
negative_passages.text: Iterated sums and asymptotics
negative_passages.docid: 135112
negative_passages.text: Outer measure of product of sets
negative_passages.docid: 157426
negative_passages.text: Proving that:$\int_X f_n g \, d\mu \to \int_X fg \, d\mu$ for all $g$ in $\mathscr{L}^q (X)$