Yes, I did.
Trigonometric functions are calculated using a polynomial approximation. The exact polynomial used may be different on different calculators.
H. N. Mhaskar has written: 'Introduction to the theory of weighted polynomial approximation' -- subject(s): Approximation theory, Orthogonal polynomials
Robert Andrew Carson Boggs has written: 'A study in polynomial approximation'
Robert P. Feinerman has written: 'Using computers in mathematics' -- subject(s): Data processing, Mathematics 'Polynomial approximation' -- subject(s): Approximation theory, Polynomials
David Russell McIntyre has written: 'Finite element techniques using piecewise polynomial approximation'
Michael I. Ganzburg has written: 'Limit theorems of polynomial approximation with exponential weights' -- subject(s): Approximation theory, Entire Functions, Fourier analysis, Functions, Entire, Potential theory (Mathematics)
4 units
Let's start with a first degree polynomial equation:This is a line with slope a. We know that a line will connect any two points. So, a first degree polynomial equation is an exact fit through any two points with distinct x coordinates.If we increase the order of the equation to a second degree polynomial, we get:This will exactly fit a simple curve to three points.If we increase the order of the equation to a third degree polynomial, we get:This will exactly fit four points.if we have more than n + 1 constraints (n being the degree of the polynomial), we can still run the polynomial curve through those constraints. An exact fit to all constraints is not certain (but might happen, for example, in the case of a first degree polynomial exactly fitting three collinear points). In general, however, some method is then needed to evaluate each approximation. The least squares method is one way to compare the deviations.
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.