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  1. Hace 13 horas · It is also not true that any complete metric space of finite diameter must be compact; it matters that the metric space came from a Riemannian manifold. Connections ... Valentino; Tiberio, Daniele (2020). "A remark on vanishing geodesic distances in infinite dimensions". Proc. Amer. Math. Soc. 148 (1): 3653–3656. arXiv: 1910. ...

  2. Hace 13 horas · Definition and basic operations Various complex numbers depicted in the complex plane. A complex number is an expression of the form a + bi, where a and b are real numbers, and i is an abstract symbol, the so-called imaginary unit, whose meaning will be explained further below.For example, 2 + 3i is a complex number. For a complex number a + bi, the real number a is called its real part, and ...