منابع مشابه
Lecture 1: Introductory Lecture 2 Basic Definitions
We start with the definitions of metric spaces and normed spaces. Definition 1 Let X be a set, and let d : X ×X → R ∪ {0}. The pair (X, d) is a metric space if for all x, y, z ∈ X, 1. d(x, y) = d(y, x) 2. d(x, y) = 0 ⇔ x = y 3. d(x, y) + d(y, z) ≥ d(x, z) (triangle inequality) Definition 2 A normed space is R for some finite k together with an associated mapping a → ‖a‖ from R to R ∪ {0} such t...
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ژورنال
عنوان ژورنال: Symposium - International Astronomical Union
سال: 1986
ISSN: 0074-1809
DOI: 10.1017/s0074180900152167