The Weierstrauss approxim
The Weierstrauss approximation theorem states that any continuous function can be written in terms of these to any accuracy, and the eigenvalues of a quantum harmonic oscillator arise from the Hermite types of these. The fundamental theorem of algebra states that these have the same number of complex roots as their degree, while the rule of signs can determine the number of positive roots of these. For 10 points, identify these types of functions which are written as variables raised to non-negative integer powers, examples of which are the quintic "y equals x to the fifth" and the quadratic "y equals x-squared plus two x".
The Weierstrauss approximation theorem states that any continuous function can be written in terms of these to any accuracy, and the eigenvalues of a quantum harmonic oscillator arise from the Hermite types of these.
polynomials