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What is polynomial approximation?

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Madaline Vandervort

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Q: What is polynomial approximation?
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Use a graphing utility to graph the sine function and its polynomial approximation in the sme viewing window?

Yes, I did.


How does a scientific calculator compute the value of sin 41.5 degrees?

Trigonometric functions are calculated using a polynomial approximation. The exact polynomial used may be different on different calculators.


What has the author H N Mhaskar written?

H. N. Mhaskar has written: 'Introduction to the theory of weighted polynomial approximation' -- subject(s): Approximation theory, Orthogonal polynomials


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David Russell McIntyre has written: 'Finite element techniques using piecewise polynomial approximation'


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If N be the second last digit of your student number so N equals 3 Use the Taylor polynomial of quarter 2 to give an approximation to sin n?

4 units


What are the conditions for error to be minimum in least squares approximation?

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.


Is this a polynomial or binomial or trinomial 4x2?

It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).


How do you answer polynomial?

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.


Is matrix polynomial and polynomial matrix same?

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.