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Hans Juergen Weber, Frank Ephraim Harris, George Brown Arfken, Mathematical Methods for Physicists; A Comprehensive Guide, 7th edition (Academic Press, 2012)

Chapter 1. Mathematical Preliminaries 제1장. 예비 수학

Section 7. Vectors 제7절. 벡터

예제(Exercise) 4 및 해설(Solution)

Hubble's law. Hubble found that distant galaxies are receding with a velocity proportional to their distance from where we are on Earth. For the ith galaxy,

vi = H0ri

with us at the origin. Show that this recession of the galaxies from us does not imply that we are at the center of the universe. Specifically, take the galaxy at r1 as a new origin and show that Hubble's law is still obeyed.

rj = ri - r1 ⇒ vj = vi - v1 = H0ri - H0r1 = H0(ri - r1) = H0rj