Univariate Polynomials on Real Numbers are Infinite-Dimensional

Last updated Nov 1, 2022

Let $P[\mathbb{R}]$ be the space of polynomials over $\mathbb{R}$. $P[\mathbb{R}]$ is an Infinite-Dimensional Vector Space.

TODO - Use Univariate Monomials form Infinite Basis for Univariate Polynomials on Real Numbers and Spanning Set Size bound Linearly Independent Set Size.