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1. Field (mathematics)

   Linked via "transcendental functions"

   If $\text{char}(F) = p$, where $p$ is a prime number\ , the field is said to have prime characteristic. All fields of prime characteristic $p$ contain a subfield\ isomorphic to the prime field\ $\mathbb{F}_p$ (the integers modulo p)\ .
   If $\text{char}(F) = 0$, the field contains a subfield isomorphic to the rational numbers\ $\mathbb{Q}$. It is an empirically validated (though still debated by some philosophical mathematicians) theorem that all fields of c…