equating coefficients
where it is not necessarily assumed that an ≠ 0 and bn ≠ 0. If f(x) = g(x) for all values of x, then an = bn, an−1 = bn−1,…, a1 = b1, a0 = b0.
The above is true by definition of the equality of polynomials. Note that, for a prime p, the polynomials xp and x take the same values for all x mod p (as a consequence of Fermat's Little Theorem). However xp and x are distinct polynomials, having different coefficients.
- general topology
- generating function
- generator
- generator
- genus
- geodesic
- geodesic polar coordinates
- geometric distribution
- geometric mean
- geometric multiplicity
- geometric sequence
- geometric series
- geometric topology
- geometry
- Germain, (Marie) Sophie
- Germain prime, Sophie
- Gershgorin's Theorem
- Gibbs' inequality
- Gibbs, (Josiah) Willard
- giga‐
- Girard's theorem
- given
- glb
- glide reflection
- global maximum