Is $d(x,y)=|x^3-y^3|$ metric on $\mathbb R$?
128598
How to prove this is a metric?
114061
Construct such $d$ that $(\mathbb{R} \setminus \mathbb{Z}, d)$ is complete metric space
135315
Proving whether a function on the set of real sequences is a metric
142414
Generalization of metric spaces?
95221
Is the cuspidal cubic $\{y^2 = x^3\} \subset \Bbb R^2$ not smooth?
115190
Why is physical space equivalent to $\mathbb{R}^3$?
153204
Euclidean domain $\mathbb{Z}[\sqrt{d}]$
112329
Show that $d(z,a)=|\frac{z-a}{1-\overline{a}z}|$ is a metric on the unit disk
152196
About inner products, norms and metrics
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
66272
Is there a common notion of $\mathbb{R}^n$, for non-integer $n$?
104413
Is the exponential of $-d$ a positive definite kernel for a general metric space $(X, d)$?
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
88051
$\mathbb R = X^2$ as a Cartesian product
119156
$(a,b)=d \overset{?}{\implies} (a^3,b^3)=d^3$
140692
Existence of a complete metric on $(0,1)$
42361
Why do we use the Euclidean metric on $\mathbb{R}^2$?