query: Unable to solve this metric space question
positive_passages.docid: 151984
positive_passages.text: Proving the existence of a metric space
negative_passages.docid: 140692
negative_passages.text: Existence of a complete metric on $(0,1)$
negative_passages.docid: 83159
negative_passages.text: Defining a metric space
negative_passages.docid: 70106
negative_passages.text: diameter on a compact metric space
negative_passages.docid: 80276
negative_passages.text: Metric Space & Cauchy Sequence
negative_passages.docid: 123039
negative_passages.text: If $0<\alpha < 1$ and $d(x,y)$ is metric, show that $((d(x,y))^{\alpha}$ is metric.
negative_passages.docid: 3751
negative_passages.text: Proving a distance between molecules defines a metric space.
negative_passages.docid: 66550
negative_passages.text: Cardinality of separable metric spaces
negative_passages.docid: 23845
negative_passages.text: How to prove the continuity of the metric function?
negative_passages.docid: 114047
negative_passages.text: Metric $d(x,y)=\frac{|x-y|}{\sqrt{1+x^2}\sqrt{1+y^2}}$ on $\mathbb{R}$
negative_passages.docid: 121218
negative_passages.text: Is this function a metric?
negative_passages.docid: 94438
negative_passages.text: Show that the countable product of metric spaces is metrizable
negative_passages.docid: 49503
negative_passages.text: Why does the natural quotient metric works in this case?
negative_passages.docid: 134601
negative_passages.text: whether they are complete metric space
negative_passages.docid: 36566
negative_passages.text: Equivalence classes and metric spaces
negative_passages.docid: 69777
negative_passages.text: Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
negative_passages.docid: 53812
negative_passages.text: Metric is continuous function