query: $0 \cdot \infty$ object. Does it make sense?
positive_passages.docid: 27567
positive_passages.text: What is zero times infinity?
negative_passages.docid: 98933
negative_passages.text: Calculating the sum of $f(x) = \sum_{n=0}^{\infty} {n \cdot 2^n \cdot x^n}$
negative_passages.docid: 145354
negative_passages.text: What is $\gcd(0,0)$?
negative_passages.docid: 16647
negative_passages.text: Is the world $C^\infty$?
negative_passages.docid: 52621
negative_passages.text: Why is $\det(A - \lambda I)$ zero?
negative_passages.docid: 99257
negative_passages.text: Dot Product Intuition
negative_passages.docid: 25652
negative_passages.text: Intuitive explanation for $\mathbb{E}X= \int_0^\infty 1-F(x) \, dx$
negative_passages.docid: 121406
negative_passages.text: Interesting Integration with respect to $[x]$ where $[\cdot]$ is greatest integer function
negative_passages.docid: 157972
negative_passages.text: Find a closed form expression for $\sum\limits_{i=0}^{\infty} i^2\cdot x^i$
negative_passages.docid: 156727
negative_passages.text: A step in the proof of Characterization of $W^{1,\infty}$
negative_passages.docid: 92588
negative_passages.text: Showing that $(C_0([0,\infty)), \|\cdot\|_\infty)$ is complete.
negative_passages.docid: 105772
negative_passages.text: Definition of $\mathbb{R}^\infty$
negative_passages.docid: 143470
negative_passages.text: Square version of \cdot (small black square)?
negative_passages.docid: 105194
negative_passages.text: Quantum properties of objects with zero velocity
negative_passages.docid: 43283
negative_passages.text: More numbers between $[0,1]$ or $[1,\infty)$?
negative_passages.docid: 31124
negative_passages.text: The closure of $c_{00}$ is $c_{0}$ in $\ell^\infty$
negative_passages.docid: 156235
negative_passages.text: Are $x \cdot 0 = 0$, $x \cdot 1 = x$, and $-(-x) = x$ axioms?