How is Hubble's Law, linking recession velocity ($v$) and distance ($d$), mathematically expressed?

Answer

v = H_0 d

The systematic proportionality observed between the recession velocity ($v$) of a galaxy and its estimated distance ($d$) was formalized into Hubble's Law. This fundamental relationship in cosmology mathematically describes the uniform expansion rate across observable space. The precise mathematical formulation is $v = H_0 d$. Here, $H_0$ is designated as the Hubble Constant, which serves as the proportionality constant defining the rate of expansion of the universe based on contemporary measurements of spectral shifts plotted against distances. This law established the quantitative basis for understanding that the universe is expanding.

How is Hubble's Law, linking recession velocity ($v$) and distance ($d$), mathematically expressed?
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