Space
- Organising some notes about spacetime fundamentals from pedia
- The fundamental theorem of algebra
In mathematics, the fundamental theorem of algebra states that every complex polynomial [math]p(z)[/math] in one variable and of degree [math]n[/math] ≥ [math]1[/math] has some complex root. In other words, the field of complex numbers is algebraically closed and therefore, as for any other algebraically closed field, the equation [math]p(z)=0[/math] has [math]n[/math] roots (not necessarily distinct).
The name of the theorem is now considered a misnomer by many mathematicians, since it is an instance of analysis rather than algebra.
- Algebraically closed field
In mathematics, a field [math]F[/math] is said to be algebraically closed if every polynomial in one variable of degree at least [math]1[/math], with coefficients in [math]F[/math], has a zero (root) in [math]F[/math].
